diff --git "a/Dataset/angle_estimation_dataset_3000/annotations.jsonl" "b/Dataset/angle_estimation_dataset_3000/annotations.jsonl"
--- "a/Dataset/angle_estimation_dataset_3000/annotations.jsonl"
+++ "b/Dataset/angle_estimation_dataset_3000/annotations.jsonl"
@@ -1,3000 +1,3000 @@
-{"angle_degrees":298.127495,"arc_sweep_degrees":298.127495,"canvas_size":[458,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0001","image_path":"images/angle_estimation_0001.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0001_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_0001_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0001_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"118","question_id":"angle_estimation_0001_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0001_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[65.8784,259.68],[175.3504,362.6792]],"scene_type":"single","seed":1,"vertex":[229.0,255.0]}
-{"angle_degrees":38.856472,"arc_sweep_degrees":38.856472,"canvas_size":[453,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0002","image_path":"images/angle_estimation_0002.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0002_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_0002_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0002_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"141","question_id":"angle_estimation_0002_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0002_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[145.9081,93.4903],[252.297,92.5895]],"scene_type":"single","seed":2,"vertex":[226.5,239.5]}
-{"angle_degrees":195.037954,"arc_sweep_degrees":195.037954,"canvas_size":[465,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0003","image_path":"images/angle_estimation_0003.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0003_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0003_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0003_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"15","question_id":"angle_estimation_0003_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0003_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[131.492,153.5736],[302.4821,378.178]],"scene_type":"single","seed":3,"vertex":[232.5,255.5]}
-{"angle_degrees":45.076465,"arc_sweep_degrees":45.076465,"canvas_size":[465,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0004","image_path":"images/angle_estimation_0004.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0004_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_0004_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0004_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"135","question_id":"angle_estimation_0004_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0004_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[364.8401,305.2706],[273.4201,353.2223]],"scene_type":"single","seed":4,"vertex":[232.5,246.5]}
-{"angle_degrees":179.999986,"arc_sweep_degrees":179.999986,"canvas_size":[489,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0005","image_path":"images/angle_estimation_0005.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0005_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_0005_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0005_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_0005_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0005_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[322.2262,125.0554],[164.8704,367.8818]],"scene_type":"single","seed":5,"vertex":[244.5,245.0]}
-{"angle_degrees":289.464396,"arc_sweep_degrees":289.464396,"canvas_size":[500,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0006","image_path":"images/angle_estimation_0006.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0006_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_0006_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0006_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"109","question_id":"angle_estimation_0006_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0006_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[399.2511,255.4236],[290.5417,141.3153]],"scene_type":"single","seed":6,"vertex":[250.0,255.0]}
-{"angle_degrees":144.23999,"arc_sweep_degrees":144.23999,"canvas_size":[470,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0007","image_path":"images/angle_estimation_0007.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0007_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_0007_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0007_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"36","question_id":"angle_estimation_0007_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0007_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[340.7718,312.5404],[80.806,246.5429]],"scene_type":"single","seed":7,"vertex":[235.0,241.5]}
-{"angle_degrees":337.180302,"arc_sweep_degrees":337.180302,"canvas_size":[464,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0008","image_path":"images/angle_estimation_0008.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0008_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_0008_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0008_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"157","question_id":"angle_estimation_0008_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0008_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[344.9518,315.4771],[377.9098,268.6091]],"scene_type":"single","seed":8,"vertex":[232.0,248.5]}
-{"angle_1_degrees":69.729944,"angle_2_degrees":32.16631,"angles":[{"angle_degrees":69.729944,"arc_sweep_degrees":69.729944,"ray_endpoints":[[19.6843,276.8132],[94.5955,179.3689]],"vertex":[129.33,278.73]},{"angle_degrees":32.16631,"arc_sweep_degrees":32.16631,"ray_endpoints":[[267.2238,204.5107],[320.1283,174.6071]],"vertex":[349.67,278.73]}],"canvas_size":[479,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0009","image_path":"images/angle_estimation_0009.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0009_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0009_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0009_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0009_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0009_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":9}
-{"angle_1_degrees":78.622241,"angle_2_degrees":102.494571,"angles":[{"angle_degrees":78.622241,"arc_sweep_degrees":78.622241,"ray_endpoints":[[83.7714,189.2428],[226.5377,158.4946]],"vertex":[131.22,257.64]},{"angle_degrees":102.494571,"arc_sweep_degrees":102.494571,"ray_endpoints":[[316.5629,329.5212],[259.0903,175.934]],"vertex":[354.78,257.64]}],"canvas_size":[486,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0010","image_path":"images/angle_estimation_0010.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0010_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0010_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0010_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0010_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0010_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":10}
-{"angle_1_degrees":147.098044,"angle_2_degrees":134.994889,"angles":[{"angle_degrees":147.098044,"arc_sweep_degrees":147.098044,"ray_endpoints":[[163.3758,362.9663],[15.6812,195.6887]],"vertex":[129.06,276.45]},{"angle_degrees":134.994889,"arc_sweep_degrees":134.994889,"ray_endpoints":[[431.6682,208.3438],[336.9835,399.9029]],"vertex":[348.94,276.45]}],"canvas_size":[478,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0011","image_path":"images/angle_estimation_0011.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0011_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0011_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0011_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0011_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0011_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":11}
-{"angle_1_degrees":35.943614,"angle_2_degrees":56.611407,"angles":[{"angle_degrees":35.943614,"arc_sweep_degrees":35.943614,"ray_endpoints":[[20.1723,255.7267],[42.4954,189.382]],"vertex":[129.6,266.19]},{"angle_degrees":56.611407,"arc_sweep_degrees":56.611407,"ray_endpoints":[[373.42,366.4193],[258.4225,362.5183]],"vertex":[350.4,266.19]}],"canvas_size":[480,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0012","image_path":"images/angle_estimation_0012.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0012_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0012_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0012_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0012_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0012_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":12}
-{"angle_1_degrees":145.893795,"angle_2_degrees":39.715889,"angles":[{"angle_degrees":145.893795,"arc_sweep_degrees":145.893795,"ray_endpoints":[[138.9101,349.9589],[50.1284,185.7256]],"vertex":[125.82,266.76]},{"angle_degrees":39.715889,"arc_sweep_degrees":39.715889,"ray_endpoints":[[363.6442,368.4489],[290.6224,365.1976]],"vertex":[340.18,266.76]}],"canvas_size":[466,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0013","image_path":"images/angle_estimation_0013.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0013_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0013_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0013_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0013_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0013_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":13}
-{"angle_1_degrees":122.413693,"angle_2_degrees":114.326745,"angles":[{"angle_degrees":122.413693,"arc_sweep_degrees":122.413693,"ray_endpoints":[[119.0343,391.27],[27.6413,213.1268]],"vertex":[123.12,278.73]},{"angle_degrees":114.326745,"arc_sweep_degrees":114.326745,"ray_endpoints":[[249.7495,341.8238],[303.6241,150.6919]],"vertex":[332.88,278.73]}],"canvas_size":[456,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0014","image_path":"images/angle_estimation_0014.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0014_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0014_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0014_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0014_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0014_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":14}
-{"angle_1_degrees":68.766759,"angle_2_degrees":28.740776,"angles":[{"angle_degrees":68.766759,"arc_sweep_degrees":68.766759,"ray_endpoints":[[52.0028,315.1589],[21.7396,196.9104]],"vertex":[125.01,256.5]},{"angle_degrees":28.740776,"arc_sweep_degrees":28.740776,"ray_endpoints":[[362.024,341.9583],[305.8771,395.2333]],"vertex":[337.99,256.5]}],"canvas_size":[463,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0015","image_path":"images/angle_estimation_0015.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0015_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0015_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0015_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0015_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0015_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":15}
-{"canvas_size":[473,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0016","image_path":"images/angle_estimation_0016.png","interior_angles_degrees":[55.759428,51.333083,72.907488],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0016_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0016_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0016_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0016_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0016_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":16,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,377.5657],[418.0,377.5657],[221.845,132.4343]]}
-{"canvas_size":[483,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0017","image_path":"images/angle_estimation_0017.png","interior_angles_degrees":[73.696333,35.274655,71.029012],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0017_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0017_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0017_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0017_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0017_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":17,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,362.3094],[428.0,362.3094],[118.9438,143.6906]]}
-{"canvas_size":[461,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0018","image_path":"images/angle_estimation_0018.png","interior_angles_degrees":[58.303138,51.627043,70.069819],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0018_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0018_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0018_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0018_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0018_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":18,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,368.0247],[406.0,368.0247],[208.7972,118.9753]]}
-{"canvas_size":[493,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0019","image_path":"images/angle_estimation_0019.png","interior_angles_degrees":[59.17539,45.581322,75.243288],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0019_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0019_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0019_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0019_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0019_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":19,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,362.4629],[438.0,362.4629],[199.9543,119.5371]]}
-{"canvas_size":[496,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0020","image_path":"images/angle_estimation_0020.png","interior_angles_degrees":[71.038811,31.789893,77.171296],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0020_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0020_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0020_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0020_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0020_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":20,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,360.1183],[441.0,360.1183],[122.7646,162.8817]]}
-{"angle_degrees":244.520756,"arc_sweep_degrees":244.520756,"canvas_size":[460,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0021","image_path":"images/angle_estimation_0021.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0021_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_0021_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0021_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"65","question_id":"angle_estimation_0021_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0021_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[263.2183,403.1898],[335.8029,168.1847]],"scene_type":"single","seed":21,"vertex":[230.0,250.0]}
-{"angle_degrees":18.029462,"arc_sweep_degrees":18.029462,"canvas_size":[458,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0022","image_path":"images/angle_estimation_0022.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0022_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_0022_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0022_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"162","question_id":"angle_estimation_0022_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0022_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[356.0732,364.7224],[284.4789,346.4358]],"scene_type":"single","seed":22,"vertex":[229.0,244.5]}
-{"angle_degrees":313.427348,"arc_sweep_degrees":313.427348,"canvas_size":[499,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0023","image_path":"images/angle_estimation_0023.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0023_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_0023_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0023_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"133","question_id":"angle_estimation_0023_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0023_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[134.8671,305.5494],[210.8226,381.094]],"scene_type":"single","seed":23,"vertex":[249.5,246.0]}
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-{"angle_degrees":248.465651,"arc_sweep_degrees":248.465651,"canvas_size":[491,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0027","image_path":"images/angle_estimation_0027.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0027_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_0027_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0027_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"68","question_id":"angle_estimation_0027_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0027_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[403.9764,321.0158],[249.5728,135.2869]],"scene_type":"single","seed":27,"vertex":[245.5,252.0]}
-{"angle_degrees":54.489704,"arc_sweep_degrees":54.489704,"canvas_size":[457,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0028","image_path":"images/angle_estimation_0028.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0028_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_0028_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0028_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"126","question_id":"angle_estimation_0028_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0028_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[332.7271,375.0394],[204.076,373.575]],"scene_type":"single","seed":28,"vertex":[228.5,260.5]}
-{"angle_1_degrees":165.817384,"angle_2_degrees":26.597216,"angles":[{"angle_degrees":165.817384,"arc_sweep_degrees":165.817384,"ray_endpoints":[[76.6151,333.9954],[173.0269,152.8376]],"vertex":[130.95,258.78]},{"angle_degrees":26.597216,"arc_sweep_degrees":26.597216,"ray_endpoints":[[264.4654,186.7521],[304.8521,151.3362]],"vertex":[354.05,258.78]}],"canvas_size":[485,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0029","image_path":"images/angle_estimation_0029.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0029_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0029_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_0029_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0029_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0029_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":29}
-{"angle_1_degrees":142.328563,"angle_2_degrees":166.308619,"angles":[{"angle_degrees":142.328563,"arc_sweep_degrees":142.328563,"ray_endpoints":[[181.8966,324.1749],[12.6792,244.6891]],"vertex":[130.68,266.76]},{"angle_degrees":166.308619,"arc_sweep_degrees":166.308619,"ray_endpoints":[[275.8382,255.8029],[458.1141,256.4068]],"vertex":[353.32,266.76]}],"canvas_size":[484,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0030","image_path":"images/angle_estimation_0030.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0030_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0030_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0030_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0030_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0030_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":30}
-{"angle_1_degrees":27.983783,"angle_2_degrees":72.853993,"angles":[{"angle_degrees":27.983783,"arc_sweep_degrees":27.983783,"ray_endpoints":[[199.3546,340.0464],[162.0814,376.4296]],"vertex":[121.5,273.6]},{"angle_degrees":72.853993,"arc_sweep_degrees":72.853993,"ray_endpoints":[[379.1405,340.9597],[249.1264,383.1761]],"vertex":[328.5,273.6]}],"canvas_size":[450,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0031","image_path":"images/angle_estimation_0031.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0031_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0031_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0031_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0031_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0031_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":31}
-{"angle_1_degrees":85.003344,"angle_2_degrees":106.193966,"angles":[{"angle_degrees":85.003344,"arc_sweep_degrees":85.003344,"ray_endpoints":[[27.0421,248.9871],[131.8031,127.9611]],"vertex":[122.58,263.91]},{"angle_degrees":106.193966,"arc_sweep_degrees":106.193966,"ray_endpoints":[[415.5714,221.0912],[356.8292,397.4336]],"vertex":[331.42,263.91]}],"canvas_size":[454,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0032","image_path":"images/angle_estimation_0032.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0032_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0032_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0032_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0032_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0032_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":32}
-{"angle_1_degrees":111.157304,"angle_2_degrees":140.720622,"angles":[{"angle_degrees":111.157304,"arc_sweep_degrees":111.157304,"ray_endpoints":[[197.8335,207.6618],[172.0521,386.7521]],"vertex":[131.22,262.2]},{"angle_degrees":140.720622,"arc_sweep_degrees":140.720622,"ray_endpoints":[[290.3097,171.4085],[463.2326,291.9555]],"vertex":[354.78,262.2]}],"canvas_size":[486,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0033","image_path":"images/angle_estimation_0033.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0033_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0033_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0033_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0033_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0033_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":33}
-{"angle_1_degrees":34.771741,"angle_2_degrees":53.876734,"angles":[{"angle_degrees":34.771741,"arc_sweep_degrees":34.771741,"ray_endpoints":[[132.0724,169.6305],[209.8612,158.5932]],"vertex":[130.41,269.04]},{"angle_degrees":53.876734,"arc_sweep_degrees":53.876734,"ray_endpoints":[[350.0188,347.454],[263.7684,329.5056]],"vertex":[352.59,269.04]}],"canvas_size":[483,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0034","image_path":"images/angle_estimation_0034.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0034_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0034_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0034_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0034_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0034_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":34}
-{"angle_1_degrees":21.778408,"angle_2_degrees":145.373724,"angles":[{"angle_degrees":21.778408,"arc_sweep_degrees":21.778408,"ray_endpoints":[[200.2838,304.9009],[203.3229,353.201]],"vertex":[130.95,268.47]},{"angle_degrees":145.373724,"arc_sweep_degrees":145.373724,"ray_endpoints":[[403.0384,168.4453],[372.8682,393.9007]],"vertex":[354.05,268.47]}],"canvas_size":[485,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0035","image_path":"images/angle_estimation_0035.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0035_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0035_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_0035_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0035_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0035_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":35}
-{"canvas_size":[471,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0036","image_path":"images/angle_estimation_0036.png","interior_angles_degrees":[91.010351,40.969601,48.020048],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0036_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0036_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0036_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0036_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0036_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":36,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[60.5284,398.2382],[416.0,398.2382],[55.0,84.7618]]}
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-{"canvas_size":[463,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0039","image_path":"images/angle_estimation_0039.png","interior_angles_degrees":[89.329137,39.828067,50.842796],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0039_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0039_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0039_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0039_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0039_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":39,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,393.7772],[408.0,393.7772],[58.4139,102.2228]]}
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-{"angle_degrees":18.503674,"arc_sweep_degrees":18.503674,"canvas_size":[490,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0042","image_path":"images/angle_estimation_0042.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0042_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_0042_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0042_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"161","question_id":"angle_estimation_0042_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0042_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[233.2198,102.2495],[272.906,125.4432]],"scene_type":"single","seed":42,"vertex":[245.0,240.5]}
-{"angle_degrees":246.716254,"arc_sweep_degrees":246.716254,"canvas_size":[452,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0043","image_path":"images/angle_estimation_0043.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0043_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_0043_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0043_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"67","question_id":"angle_estimation_0043_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0043_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[163.5158,129.5024],[143.3435,349.8796]],"scene_type":"single","seed":43,"vertex":[226.0,246.0]}
-{"angle_degrees":194.270483,"arc_sweep_degrees":194.270483,"canvas_size":[476,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0044","image_path":"images/angle_estimation_0044.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0044_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0044_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0044_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"14","question_id":"angle_estimation_0044_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0044_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[264.1305,419.5585],[248.7341,138.3995]],"scene_type":"single","seed":44,"vertex":[238.0,253.5]}
-{"angle_degrees":89.999975,"arc_sweep_degrees":89.999975,"canvas_size":[467,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0045","image_path":"images/angle_estimation_0045.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"right","question_id":"angle_estimation_0045_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_0045_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"approximately equal to","question_id":"angle_estimation_0045_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"90","question_id":"angle_estimation_0045_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0045_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[370.1159,268.6498],[216.8374,372.0594]],"scene_type":"single","seed":45,"vertex":[233.5,250.0]}
-{"angle_degrees":23.586973,"arc_sweep_degrees":23.586973,"canvas_size":[454,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0046","image_path":"images/angle_estimation_0046.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0046_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_0046_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0046_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"156","question_id":"angle_estimation_0046_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0046_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[124.5859,134.0281],[178.14,98.9762]],"scene_type":"single","seed":46,"vertex":[227.0,249.5]}
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-{"angle_1_degrees":25.761651,"angle_2_degrees":65.602898,"angles":[{"angle_degrees":25.761651,"arc_sweep_degrees":25.761651,"ray_endpoints":[[54.2154,302.4503],[22.1208,265.9007]],"vertex":[129.87,266.19]},{"angle_degrees":65.602898,"arc_sweep_degrees":65.602898,"ray_endpoints":[[423.4209,296.9379],[354.4908,408.2403]],"vertex":[351.13,266.19]}],"canvas_size":[481,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0050","image_path":"images/angle_estimation_0050.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0050_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0050_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0050_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0050_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0050_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":50}
-{"angle_1_degrees":97.72634,"angle_2_degrees":84.179337,"angles":[{"angle_degrees":97.72634,"arc_sweep_degrees":97.72634,"ray_endpoints":[[69.1362,360.7228],[30.4951,192.1233]],"vertex":[125.55,274.74]},{"angle_degrees":84.179337,"arc_sweep_degrees":84.179337,"ray_endpoints":[[306.434,178.8384],[448.7951,224.1745]],"vertex":[339.45,274.74]}],"canvas_size":[465,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0051","image_path":"images/angle_estimation_0051.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0051_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0051_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0051_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0051_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0051_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":51}
-{"angle_1_degrees":150.805055,"angle_2_degrees":92.013949,"angles":[{"angle_degrees":150.805055,"arc_sweep_degrees":150.805055,"ray_endpoints":[[195.5568,342.4721],[14.4371,214.6729]],"vertex":[126.09,258.21]},{"angle_degrees":92.013949,"arc_sweep_degrees":92.013949,"ray_endpoints":[[452.4932,233.4561],[365.8532,392.8685]],"vertex":[340.91,258.21]}],"canvas_size":[467,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0052","image_path":"images/angle_estimation_0052.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0052_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0052_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0052_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0052_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0052_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":52}
-{"angle_1_degrees":46.610371,"angle_2_degrees":32.111723,"angles":[{"angle_degrees":46.610371,"arc_sweep_degrees":46.610371,"ray_endpoints":[[81.1018,183.3574],[164.3749,137.0885]],"vertex":[132.03,263.91]},{"angle_degrees":32.111723,"arc_sweep_degrees":32.111723,"ray_endpoints":[[336.7379,376.3836],[284.808,343.1894]],"vertex":[356.97,263.91]}],"canvas_size":[489,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0053","image_path":"images/angle_estimation_0053.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0053_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0053_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0053_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0053_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0053_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":53}
-{"angle_1_degrees":98.971249,"angle_2_degrees":87.283565,"angles":[{"angle_degrees":98.971249,"arc_sweep_degrees":98.971249,"ray_endpoints":[[16.6452,309.8519],[102.1887,154.1774]],"vertex":[123.66,272.46]},{"angle_degrees":87.283565,"arc_sweep_degrees":87.283565,"ray_endpoints":[[417.7879,220.8928],[402.3496,371.6714]],"vertex":[334.34,272.46]}],"canvas_size":[458,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0054","image_path":"images/angle_estimation_0054.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0054_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0054_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0054_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0054_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0054_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":54}
-{"angle_1_degrees":33.995365,"angle_2_degrees":128.299236,"angles":[{"angle_degrees":33.995365,"arc_sweep_degrees":33.995365,"ray_endpoints":[[88.0199,366.2556],[15.5623,345.0923]],"vertex":[122.85,263.34]},{"angle_degrees":128.299236,"arc_sweep_degrees":128.299236,"ray_endpoints":[[419.1482,244.2643],[273.6062,383.7352]],"vertex":[332.15,263.34]}],"canvas_size":[455,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0055","image_path":"images/angle_estimation_0055.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0055_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0055_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_0055_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0055_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0055_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":55}
-{"canvas_size":[485,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0056","image_path":"images/angle_estimation_0056.png","interior_angles_degrees":[119.977729,30.425546,29.596725],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0056_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0056_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0056_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0056_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0056_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":56,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[182.0392,350.118],[430.0,350.118],[55.0,129.882]]}
-{"canvas_size":[452,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0057","image_path":"images/angle_estimation_0057.png","interior_angles_degrees":[98.811052,35.533472,45.655477],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0057_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0057_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0057_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0057_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0057_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":57,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[92.8598,373.6239],[397.0,373.6239],[55.0,129.3761]]}
-{"canvas_size":[487,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0058","image_path":"images/angle_estimation_0058.png","interior_angles_degrees":[124.962718,31.739836,23.297446],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0058_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0058_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0058_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0058_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0058_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":58,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[218.0639,362.6011],[432.0,362.6011],[55.0,129.3989]]}
-{"canvas_size":[464,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0059","image_path":"images/angle_estimation_0059.png","interior_angles_degrees":[137.721231,12.596551,29.682219],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0059_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0059_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0059_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0059_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0059_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":59,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[142.0011,282.053],[409.0,282.053],[55.0,202.947]]}
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-{"angle_degrees":340.511831,"arc_sweep_degrees":340.511831,"canvas_size":[454,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0067","image_path":"images/angle_estimation_0067.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0067_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_0067_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0067_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"161","question_id":"angle_estimation_0067_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0067_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[95.317,303.0054],[112.4274,354.5947]],"scene_type":"single","seed":67,"vertex":[227.0,240.5]}
-{"angle_degrees":329.873313,"arc_sweep_degrees":329.873313,"canvas_size":[497,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0068","image_path":"images/angle_estimation_0068.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0068_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_0068_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0068_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_0068_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0068_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[372.9705,355.7649],[405.6494,278.7154]],"scene_type":"single","seed":68,"vertex":[248.5,251.5]}
-{"angle_1_degrees":32.789685,"angle_2_degrees":59.610656,"angles":[{"angle_degrees":32.789685,"arc_sweep_degrees":32.789685,"ray_endpoints":[[136.3629,154.9444],[207.7521,149.456]],"vertex":[133.11,257.64]},{"angle_degrees":59.610656,"arc_sweep_degrees":59.610656,"ray_endpoints":[[442.7652,320.4882],[343.6253,394.3356]],"vertex":[359.89,257.64]}],"canvas_size":[493,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0069","image_path":"images/angle_estimation_0069.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0069_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0069_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0069_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0069_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0069_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":69}
-{"angle_1_degrees":138.946884,"angle_2_degrees":47.540918,"angles":[{"angle_degrees":138.946884,"arc_sweep_degrees":138.946884,"ray_endpoints":[[137.2305,166.7519],[191.8908,371.5448]],"vertex":[123.39,266.76]},{"angle_degrees":47.540918,"arc_sweep_degrees":47.540918,"ray_endpoints":[[408.5278,316.7311],[355.0074,405.6956]],"vertex":[333.61,266.76]}],"canvas_size":[457,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0070","image_path":"images/angle_estimation_0070.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0070_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0070_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_0070_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0070_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0070_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":70}
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-{"angle_1_degrees":24.571636,"angle_2_degrees":60.815741,"angles":[{"angle_degrees":24.571636,"arc_sweep_degrees":24.571636,"ray_endpoints":[[120.6685,360.6874],[69.205,394.3461]],"vertex":[122.58,285.0]},{"angle_degrees":60.815741,"arc_sweep_degrees":60.815741,"ray_endpoints":[[272.7298,218.258],[369.3944,177.6961]],"vertex":[331.42,285.0]}],"canvas_size":[454,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0072","image_path":"images/angle_estimation_0072.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0072_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0072_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0072_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0072_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0072_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":72}
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-{"angle_1_degrees":148.761751,"angle_2_degrees":61.08346,"angles":[{"angle_degrees":148.761751,"arc_sweep_degrees":148.761751,"ray_endpoints":[[198.2405,190.6859],[118.3672,386.18]],"vertex":[132.03,274.74]},{"angle_degrees":61.08346,"arc_sweep_degrees":61.08346,"ray_endpoints":[[383.6671,195.4493],[465.0018,255.0913]],"vertex":[356.97,274.74]}],"canvas_size":[489,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0074","image_path":"images/angle_estimation_0074.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0074_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0074_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_0074_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0074_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0074_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":74}
-{"angle_1_degrees":79.859153,"angle_2_degrees":16.66148,"angles":[{"angle_degrees":79.859153,"arc_sweep_degrees":79.859153,"ray_endpoints":[[24.9101,295.6555],[83.975,153.5939]],"vertex":[129.06,277.59]},{"angle_degrees":16.66148,"arc_sweep_degrees":16.66148,"ray_endpoints":[[312.6318,182.3681],[338.6393,137.6694]],"vertex":[348.94,277.59]}],"canvas_size":[478,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0075","image_path":"images/angle_estimation_0075.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0075_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0075_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0075_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0075_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0075_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":75}
-{"canvas_size":[473,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0076","image_path":"images/angle_estimation_0076.png","interior_angles_degrees":[49.831082,47.911437,82.257481],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0076_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0076_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0076_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0076_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0076_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":76,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,358.372],[418.0,358.372],[230.3642,150.628]]}
-{"canvas_size":[466,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0077","image_path":"images/angle_estimation_0077.png","interior_angles_degrees":[48.373292,83.400108,48.2266],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0077_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0077_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0077_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0077_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0077_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":77,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,427.2242],[411.0,427.2242],[369.9896,72.7758]]}
-{"canvas_size":[462,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0078","image_path":"images/angle_estimation_0078.png","interior_angles_degrees":[63.938574,66.441838,49.619588],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0078_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0078_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0078_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0078_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0078_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":78,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[66.3357,421.0],[395.6643,421.0],[240.4412,65.0]]}
-{"canvas_size":[459,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0079","image_path":"images/angle_estimation_0079.png","interior_angles_degrees":[47.376901,47.522545,85.100554],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0079_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0079_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0079_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0079_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0079_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":79,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,349.0488],[404.0,349.0488],[229.9452,158.9512]]}
-{"canvas_size":[467,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0080","image_path":"images/angle_estimation_0080.png","interior_angles_degrees":[65.368293,61.854283,52.777424],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0080_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0080_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0080_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0080_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0080_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":80,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,432.1712],[412.0,432.1712],[219.7604,72.8288]]}
-{"angle_degrees":124.949861,"arc_sweep_degrees":124.949861,"canvas_size":[482,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0081","image_path":"images/angle_estimation_0081.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0081_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_0081_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0081_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"55","question_id":"angle_estimation_0081_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0081_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[391.6766,267.9927],[152.9161,352.13]],"scene_type":"single","seed":81,"vertex":[241.0,251.5]}
-{"angle_degrees":339.408635,"arc_sweep_degrees":339.408635,"canvas_size":[459,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0082","image_path":"images/angle_estimation_0082.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0082_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_0082_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0082_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"159","question_id":"angle_estimation_0082_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0082_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[159.0333,111.6414],[120.2815,155.1979]],"scene_type":"single","seed":82,"vertex":[229.5,261.5]}
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-{"angle_1_degrees":24.830958,"angle_2_degrees":115.516794,"angles":[{"angle_degrees":24.830958,"arc_sweep_degrees":24.830958,"ray_endpoints":[[115.9135,380.174],[59.5604,394.9079]],"vertex":[125.01,282.15]},{"angle_degrees":115.516794,"arc_sweep_degrees":115.516794,"ray_endpoints":[[328.0519,196.8135],[440.1557,317.0777]],"vertex":[337.99,282.15]}],"canvas_size":[463,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0090","image_path":"images/angle_estimation_0090.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0090_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0090_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_0090_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0090_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0090_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":90}
-{"angle_1_degrees":44.300969,"angle_2_degrees":52.418157,"angles":[{"angle_degrees":44.300969,"arc_sweep_degrees":44.300969,"ray_endpoints":[[194.3519,305.5303],[181.5161,407.1873]],"vertex":[122.85,277.59]},{"angle_degrees":52.418157,"arc_sweep_degrees":52.418157,"ray_endpoints":[[361.8152,363.2353],[270.4471,371.4756]],"vertex":[332.15,277.59]}],"canvas_size":[455,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0091","image_path":"images/angle_estimation_0091.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0091_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0091_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0091_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0091_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0091_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":91}
-{"angle_1_degrees":15.625388,"angle_2_degrees":155.313187,"angles":[{"angle_degrees":15.625388,"arc_sweep_degrees":15.625388,"ray_endpoints":[[172.5114,367.9509],[147.8397,387.442]],"vertex":[128.52,275.31]},{"angle_degrees":155.313187,"arc_sweep_degrees":155.313187,"ray_endpoints":[[263.9711,285.313],[457.7286,207.7036]],"vertex":[347.48,275.31]}],"canvas_size":[476,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0092","image_path":"images/angle_estimation_0092.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0092_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0092_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_0092_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0092_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0092_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":92}
-{"angle_1_degrees":125.672819,"angle_2_degrees":151.30148,"angles":[{"angle_degrees":125.672819,"arc_sweep_degrees":125.672819,"ray_endpoints":[[68.8069,326.6248],[123.2613,166.3042]],"vertex":[129.87,277.02]},{"angle_degrees":151.30148,"arc_sweep_degrees":151.30148,"ray_endpoints":[[437.2968,214.4061],[296.3202,392.9862]],"vertex":[351.13,277.02]}],"canvas_size":[481,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0093","image_path":"images/angle_estimation_0093.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0093_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0093_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0093_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0093_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0093_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":93}
-{"angle_1_degrees":29.858983,"angle_2_degrees":54.814962,"angles":[{"angle_degrees":29.858983,"arc_sweep_degrees":29.858983,"ray_endpoints":[[38.4578,263.8158],[38.4416,211.2001]],"vertex":[130.68,262.77]},{"angle_degrees":54.814962,"arc_sweep_degrees":54.814962,"ray_endpoints":[[462.8532,234.666],[446.3023,341.9726]],"vertex":[353.32,262.77]}],"canvas_size":[484,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0094","image_path":"images/angle_estimation_0094.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0094_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0094_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0094_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0094_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0094_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":94}
-{"angle_1_degrees":113.779176,"angle_2_degrees":67.600606,"angles":[{"angle_degrees":113.779176,"arc_sweep_degrees":113.779176,"ray_endpoints":[[193.88,362.1412],[16.1058,298.4174]],"vertex":[134.46,275.88]},{"angle_degrees":67.600606,"arc_sweep_degrees":67.600606,"ray_endpoints":[[303.8036,219.1459],[415.1459,142.3068]],"vertex":[363.54,275.88]}],"canvas_size":[498,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0095","image_path":"images/angle_estimation_0095.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0095_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0095_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0095_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0095_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0095_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":95}
-{"canvas_size":[473,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0096","image_path":"images/angle_estimation_0096.png","interior_angles_degrees":[89.771255,28.442695,61.786051],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0096_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0096_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0096_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0096_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0096_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":96,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,348.0994],[418.0,348.0994],[55.7833,151.9006]]}
-{"canvas_size":[462,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0097","image_path":"images/angle_estimation_0097.png","interior_angles_degrees":[89.718524,42.471072,47.810404],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0097_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0097_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0097_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0097_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0097_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":97,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,413.8896],[407.0,413.8896],[56.5759,93.1104]]}
-{"canvas_size":[472,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0098","image_path":"images/angle_estimation_0098.png","interior_angles_degrees":[89.675221,25.691388,64.633391],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0098_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0098_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0098_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0098_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0098_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":98,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,344.8391],[417.0,344.8391],[55.9845,171.1609]]}
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-{"canvas_size":[459,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0100","image_path":"images/angle_estimation_0100.png","interior_angles_degrees":[90.595717,44.574824,44.829459],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0100_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0100_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0100_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0100_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0100_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":100,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[58.5753,426.4292],[404.0,426.4292],[55.0,82.5708]]}
-{"angle_degrees":318.84852,"arc_sweep_degrees":318.84852,"canvas_size":[487,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0101","image_path":"images/angle_estimation_0101.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0101_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_0101_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0101_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"139","question_id":"angle_estimation_0101_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0101_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[388.454,288.6136],[359.3643,192.1779]],"scene_type":"single","seed":101,"vertex":[243.5,243.0]}
-{"angle_degrees":219.428192,"arc_sweep_degrees":219.428192,"canvas_size":[459,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0102","image_path":"images/angle_estimation_0102.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0102_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_0102_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0102_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"39","question_id":"angle_estimation_0102_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0102_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[125.4994,174.8225],[259.5935,403.1533]],"scene_type":"single","seed":102,"vertex":[229.5,258.5]}
-{"angle_degrees":327.630773,"arc_sweep_degrees":327.630773,"canvas_size":[495,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0103","image_path":"images/angle_estimation_0103.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0103_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_0103_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0103_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"148","question_id":"angle_estimation_0103_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0103_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[187.8117,103.2405],[122.3636,161.5758]],"scene_type":"single","seed":103,"vertex":[247.5,251.5]}
-{"angle_degrees":258.847792,"arc_sweep_degrees":258.847792,"canvas_size":[451,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0104","image_path":"images/angle_estimation_0104.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0104_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_0104_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0104_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"79","question_id":"angle_estimation_0104_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0104_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[194.7556,110.1294],[111.6147,294.1352]],"scene_type":"single","seed":104,"vertex":[225.5,243.0]}
-{"angle_degrees":119.99998,"arc_sweep_degrees":119.99998,"canvas_size":[487,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0105","image_path":"images/angle_estimation_0105.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0105_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_0105_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0105_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"60","question_id":"angle_estimation_0105_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0105_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[180.8034,400.1226],[144.5956,119.5758]],"scene_type":"single","seed":105,"vertex":[243.5,248.0]}
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-{"angle_degrees":207.638571,"arc_sweep_degrees":207.638571,"canvas_size":[465,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0107","image_path":"images/angle_estimation_0107.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0107_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_0107_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0107_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"28","question_id":"angle_estimation_0107_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0107_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[59.932,275.5295],[367.0571,309.0857]],"scene_type":"single","seed":107,"vertex":[232.5,256.5]}
-{"angle_degrees":287.315681,"arc_sweep_degrees":287.315681,"canvas_size":[458,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0108","image_path":"images/angle_estimation_0108.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0108_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_0108_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0108_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"107","question_id":"angle_estimation_0108_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0108_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[200.9212,426.1734],[343.2662,317.4161]],"scene_type":"single","seed":108,"vertex":[229.0,259.5]}
-{"angle_1_degrees":26.240104,"angle_2_degrees":90.354381,"angles":[{"angle_degrees":26.240104,"arc_sweep_degrees":26.240104,"ray_endpoints":[[13.6305,251.0816],[19.195,194.9706]],"vertex":[126.09,264.48]},{"angle_degrees":90.354381,"arc_sweep_degrees":90.354381,"ray_endpoints":[[397.4421,174.1081],[444.8157,330.3758]],"vertex":[340.91,264.48]}],"canvas_size":[467,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0109","image_path":"images/angle_estimation_0109.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0109_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0109_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0109_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0109_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0109_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":109}
-{"angle_1_degrees":52.799126,"angle_2_degrees":32.510124,"angles":[{"angle_degrees":52.799126,"arc_sweep_degrees":52.799126,"ray_endpoints":[[34.7334,292.4355],[52.6765,200.6592]],"vertex":[127.98,285.0]},{"angle_degrees":32.510124,"arc_sweep_degrees":32.510124,"ray_endpoints":[[435.3897,310.8979],[432.0397,382.8138]],"vertex":[346.02,285.0]}],"canvas_size":[474,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0110","image_path":"images/angle_estimation_0110.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0110_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0110_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0110_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0110_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0110_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":110}
-{"angle_1_degrees":60.101548,"angle_2_degrees":131.665551,"angles":[{"angle_degrees":60.101548,"arc_sweep_degrees":60.101548,"ray_endpoints":[[190.8991,320.8858],[105.2314,394.1081]],"vertex":[125.01,267.9]},{"angle_degrees":131.665551,"arc_sweep_degrees":131.665551,"ray_endpoints":[[413.2665,244.025],[287.6635,380.573]],"vertex":[337.99,267.9]}],"canvas_size":[463,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0111","image_path":"images/angle_estimation_0111.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0111_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0111_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0111_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0111_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0111_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":111}
-{"angle_1_degrees":102.768182,"angle_2_degrees":57.817169,"angles":[{"angle_degrees":102.768182,"arc_sweep_degrees":102.768182,"ray_endpoints":[[68.8161,351.6164],[56.7272,182.7976]],"vertex":[129.6,280.44]},{"angle_degrees":57.817169,"arc_sweep_degrees":57.817169,"ray_endpoints":[[271.0936,226.2514],[354.4007,174.4295]],"vertex":[350.4,280.44]}],"canvas_size":[480,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0112","image_path":"images/angle_estimation_0112.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0112_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0112_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0112_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0112_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0112_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":112}
-{"angle_1_degrees":16.12678,"angle_2_degrees":66.381035,"angles":[{"angle_degrees":16.12678,"arc_sweep_degrees":16.12678,"ray_endpoints":[[32.5151,209.4032],[42.9648,169.7234]],"vertex":[121.77,279.87]},{"angle_degrees":66.381035,"arc_sweep_degrees":66.381035,"ray_endpoints":[[380.9241,366.476],[252.2704,387.5702]],"vertex":[329.23,279.87]}],"canvas_size":[451,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0113","image_path":"images/angle_estimation_0113.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0113_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0113_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0113_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0113_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0113_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":113}
-{"angle_1_degrees":117.958034,"angle_2_degrees":57.066602,"angles":[{"angle_degrees":117.958034,"arc_sweep_degrees":117.958034,"ray_endpoints":[[187.6286,230.5483],[146.881,413.8573]],"vertex":[125.55,277.02]},{"angle_degrees":57.066602,"arc_sweep_degrees":57.066602,"ray_endpoints":[[427.0921,264.651],[411.0778,359.5156]],"vertex":[339.45,277.02]}],"canvas_size":[465,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0114","image_path":"images/angle_estimation_0114.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0114_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0114_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0114_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0114_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0114_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":114}
-{"angle_1_degrees":134.381456,"angle_2_degrees":95.974252,"angles":[{"angle_degrees":134.381456,"arc_sweep_degrees":134.381456,"ray_endpoints":[[103.2943,348.6577],[55.3685,142.7734]],"vertex":[126.36,263.34]},{"angle_degrees":95.974252,"arc_sweep_degrees":95.974252,"ray_endpoints":[[282.1436,357.8532],[250.1472,191.4332]],"vertex":[341.64,263.34]}],"canvas_size":[468,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0115","image_path":"images/angle_estimation_0115.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0115_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0115_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0115_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0115_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0115_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":115}
-{"canvas_size":[497,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0116","image_path":"images/angle_estimation_0116.png","interior_angles_degrees":[110.522131,34.29712,35.180748],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0116_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0116_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0116_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0116_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0116_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":116,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[153.8087,390.9825],[442.0,390.9825],[55.0,127.0175]]}
-{"canvas_size":[465,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0117","image_path":"images/angle_estimation_0117.png","interior_angles_degrees":[114.793644,27.640126,37.566229],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0117_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0117_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0117_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0117_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0117_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":117,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[140.8757,338.4531],[410.0,338.4531],[55.0,152.5469]]}
-{"canvas_size":[495,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0118","image_path":"images/angle_estimation_0118.png","interior_angles_degrees":[102.158666,36.655359,41.185975],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0118_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0118_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0118_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0118_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0118_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":118,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[116.728,403.2519],[440.0,403.2519],[55.0,116.7481]]}
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-{"angle_degrees":208.494729,"arc_sweep_degrees":208.494729,"canvas_size":[455,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0121","image_path":"images/angle_estimation_0121.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0121_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_0121_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0121_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"28","question_id":"angle_estimation_0121_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0121_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[118.5065,148.0389],[282.9471,393.4571]],"scene_type":"single","seed":121,"vertex":[227.5,243.5]}
-{"angle_degrees":212.979347,"arc_sweep_degrees":212.979347,"canvas_size":[482,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0122","image_path":"images/angle_estimation_0122.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0122_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_0122_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0122_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"33","question_id":"angle_estimation_0122_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0122_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[223.21,104.5191],[171.3048,388.4132]],"scene_type":"single","seed":122,"vertex":[241.0,243.5]}
-{"angle_degrees":39.643475,"arc_sweep_degrees":39.643475,"canvas_size":[453,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0123","image_path":"images/angle_estimation_0123.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0123_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_0123_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0123_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"140","question_id":"angle_estimation_0123_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0123_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[344.7407,160.9466],[337.6802,253.4209]],"scene_type":"single","seed":123,"vertex":[226.5,245.5]}
-{"angle_degrees":11.950479,"arc_sweep_degrees":11.950479,"canvas_size":[467,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0124","image_path":"images/angle_estimation_0124.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0124_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_0124_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0124_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"168","question_id":"angle_estimation_0124_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0124_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[201.7754,423.9246],[191.8585,354.753]],"scene_type":"single","seed":124,"vertex":[233.5,254.5]}
-{"angle_degrees":120.000004,"arc_sweep_degrees":120.000004,"canvas_size":[465,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0125","image_path":"images/angle_estimation_0125.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0125_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_0125_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0125_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"60","question_id":"angle_estimation_0125_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0125_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[149.4237,356.7453],[172.7189,107.2665]],"scene_type":"single","seed":125,"vertex":[232.5,244.0]}
-{"angle_degrees":206.54175,"arc_sweep_degrees":206.54175,"canvas_size":[486,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0126","image_path":"images/angle_estimation_0126.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0126_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_0126_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0126_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"27","question_id":"angle_estimation_0126_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0126_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[97.4894,264.5123],[380.8564,279.0898]],"scene_type":"single","seed":126,"vertex":[243.0,238.5]}
-{"angle_degrees":207.368932,"arc_sweep_degrees":207.368932,"canvas_size":[452,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0127","image_path":"images/angle_estimation_0127.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0127_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_0127_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0127_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"27","question_id":"angle_estimation_0127_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0127_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[207.0339,421.5392],[285.3897,168.2005]],"scene_type":"single","seed":127,"vertex":[226.0,256.5]}
-{"angle_degrees":55.574315,"arc_sweep_degrees":55.574315,"canvas_size":[465,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0128","image_path":"images/angle_estimation_0128.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0128_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_0128_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0128_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"124","question_id":"angle_estimation_0128_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0128_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[150.6748,153.1081],[262.5463,139.269]],"scene_type":"single","seed":128,"vertex":[232.5,249.5]}
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-{"angle_1_degrees":53.731469,"angle_2_degrees":128.527808,"angles":[{"angle_degrees":53.731469,"arc_sweep_degrees":53.731469,"ray_endpoints":[[137.1141,378.5886],[29.9429,355.7858]],"vertex":[130.41,271.89]},{"angle_degrees":128.527808,"arc_sweep_degrees":128.527808,"ray_endpoints":[[265.5043,255.9322],[461.1635,177.2141]],"vertex":[352.59,271.89]}],"canvas_size":[483,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0130","image_path":"images/angle_estimation_0130.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0130_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0130_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0130_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0130_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0130_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":130}
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-{"angle_1_degrees":67.411579,"angle_2_degrees":30.995389,"angles":[{"angle_degrees":67.411579,"arc_sweep_degrees":67.411579,"ray_endpoints":[[54.6542,282.2893],[51.6253,163.9635]],"vertex":[128.52,261.63]},{"angle_degrees":30.995389,"arc_sweep_degrees":30.995389,"ray_endpoints":[[251.2747,208.5428],[282.9689,150.406]],"vertex":[347.48,261.63]}],"canvas_size":[476,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0132","image_path":"images/angle_estimation_0132.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0132_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0132_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0132_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0132_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0132_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":132}
-{"angle_1_degrees":116.13081,"angle_2_degrees":52.212622,"angles":[{"angle_degrees":116.13081,"arc_sweep_degrees":116.13081,"ray_endpoints":[[43.4594,267.082],[178.362,175.6047]],"vertex":[129.87,269.04]},{"angle_degrees":52.212622,"arc_sweep_degrees":52.212622,"ray_endpoints":[[399.0877,334.7285],[318.8797,380.9183]],"vertex":[351.13,269.04]}],"canvas_size":[481,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0133","image_path":"images/angle_estimation_0133.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0133_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0133_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0133_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0133_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0133_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":133}
-{"angle_1_degrees":41.802923,"angle_2_degrees":167.420725,"angles":[{"angle_degrees":41.802923,"arc_sweep_degrees":41.802923,"ray_endpoints":[[138.7067,164.241],[227.3968,182.4725]],"vertex":[129.6,275.31]},{"angle_degrees":167.420725,"arc_sweep_degrees":167.420725,"ray_endpoints":[[271.1229,280.0341],[466.2572,242.1115]],"vertex":[350.4,275.31]}],"canvas_size":[480,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0134","image_path":"images/angle_estimation_0134.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0134_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0134_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_0134_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0134_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0134_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":134}
-{"angle_1_degrees":29.308127,"angle_2_degrees":55.266371,"angles":[{"angle_degrees":29.308127,"arc_sweep_degrees":29.308127,"ray_endpoints":[[68.1405,195.0322],[110.4341,160.7939]],"vertex":[132.84,269.61]},{"angle_degrees":55.266371,"arc_sweep_degrees":55.266371,"ray_endpoints":[[440.8293,233.1311],[477.6942,341.3903]],"vertex":[359.16,269.61]}],"canvas_size":[492,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0135","image_path":"images/angle_estimation_0135.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0135_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0135_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0135_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0135_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0135_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":135}
-{"canvas_size":[486,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0136","image_path":"images/angle_estimation_0136.png","interior_angles_degrees":[56.294159,61.548701,62.15714],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0136_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0136_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0136_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0136_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0136_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":136,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,409.0107],[431.0,409.0107],[262.4713,97.9893]]}
-{"canvas_size":[454,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0137","image_path":"images/angle_estimation_0137.png","interior_angles_degrees":[74.678422,39.909166,65.412413],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0137_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0137_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0137_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0137_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0137_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":137,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,362.5409],[399.0,362.5409],[119.1323,128.4591]]}
-{"canvas_size":[462,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0138","image_path":"images/angle_estimation_0138.png","interior_angles_degrees":[65.039446,40.587585,74.372968],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0138_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0138_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0138_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0138_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0138_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":138,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,359.7968],[407.0,359.7968],[155.3523,144.2032]]}
-{"canvas_size":[450,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0139","image_path":"images/angle_estimation_0139.png","interior_angles_degrees":[62.057438,59.800471,58.142091],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0139_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0139_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0139_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0139_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0139_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":139,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,414.819],[395.0,414.819],[217.1178,109.181]]}
-{"canvas_size":[499,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0140","image_path":"images/angle_estimation_0140.png","interior_angles_degrees":[42.600546,87.851097,49.548358],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0140_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0140_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0140_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0140_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0140_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":140,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,415.8898],[444.0,415.8898],[431.0253,70.1102]]}
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-{"angle_1_degrees":102.480853,"angle_2_degrees":74.014255,"angles":[{"angle_degrees":102.480853,"arc_sweep_degrees":102.480853,"ray_endpoints":[[64.273,310.8979],[56.7204,139.5372]],"vertex":[122.58,259.92]},{"angle_degrees":74.014255,"arc_sweep_degrees":74.014255,"ray_endpoints":[[251.2539,273.4543],[279.1087,150.5838]],"vertex":[331.42,259.92]}],"canvas_size":[454,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0149","image_path":"images/angle_estimation_0149.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0149_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0149_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0149_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0149_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0149_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":149}
-{"angle_1_degrees":86.527748,"angle_2_degrees":36.064635,"angles":[{"angle_degrees":86.527748,"arc_sweep_degrees":86.527748,"ray_endpoints":[[198.1611,237.4195],[191.2843,389.1396]],"vertex":[126.9,270.75]},{"angle_degrees":36.064635,"arc_sweep_degrees":36.064635,"ray_endpoints":[[431.0581,300.0834],[421.481,380.6678]],"vertex":[343.1,270.75]}],"canvas_size":[470,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0150","image_path":"images/angle_estimation_0150.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0150_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0150_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0150_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0150_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0150_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":150}
-{"angle_1_degrees":58.732287,"angle_2_degrees":38.156722,"angles":[{"angle_degrees":58.732287,"arc_sweep_degrees":58.732287,"ray_endpoints":[[37.8874,324.9256],[36.0113,216.0939]],"vertex":[133.65,271.32]},{"angle_degrees":38.156722,"arc_sweep_degrees":38.156722,"ray_endpoints":[[340.7519,357.433],[265.1278,347.5601]],"vertex":[361.35,271.32]}],"canvas_size":[495,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0151","image_path":"images/angle_estimation_0151.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0151_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0151_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0151_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0151_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0151_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":151}
-{"angle_1_degrees":110.412564,"angle_2_degrees":71.103563,"angles":[{"angle_degrees":110.412564,"arc_sweep_degrees":110.412564,"ray_endpoints":[[216.9775,279.752],[85.8323,367.6947]],"vertex":[134.46,270.75]},{"angle_degrees":71.103563,"arc_sweep_degrees":71.103563,"ray_endpoints":[[283.7334,275.2245],[322.2915,169.195]],"vertex":[363.54,270.75]}],"canvas_size":[498,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0152","image_path":"images/angle_estimation_0152.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0152_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0152_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0152_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0152_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0152_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":152}
-{"angle_1_degrees":15.980366,"angle_2_degrees":122.574214,"angles":[{"angle_degrees":15.980366,"arc_sweep_degrees":15.980366,"ray_endpoints":[[153.1757,170.2292],[195.4274,148.4813]],"vertex":[129.87,258.78]},{"angle_degrees":122.574214,"arc_sweep_degrees":122.574214,"ray_endpoints":[[264.6901,303.3371],[362.0097,141.6006]],"vertex":[351.13,258.78]}],"canvas_size":[481,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0153","image_path":"images/angle_estimation_0153.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0153_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0153_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0153_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0153_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0153_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":153}
-{"angle_1_degrees":80.9959,"angle_2_degrees":10.84413,"angles":[{"angle_degrees":80.9959,"arc_sweep_degrees":80.9959,"ray_endpoints":[[41.7611,326.603],[45.6423,173.9658]],"vertex":[125.01,285.0]},{"angle_degrees":10.84413,"arc_sweep_degrees":10.84413,"ray_endpoints":[[346.8202,184.3374],[373.0496,161.5735]],"vertex":[337.99,285.0]}],"canvas_size":[463,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0154","image_path":"images/angle_estimation_0154.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0154_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0154_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0154_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0154_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0154_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":154}
-{"angle_1_degrees":76.628064,"angle_2_degrees":95.624813,"angles":[{"angle_degrees":76.628064,"arc_sweep_degrees":76.628064,"ray_endpoints":[[169.6817,375.1296],[25.4845,346.7826]],"vertex":[131.49,274.74]},{"angle_degrees":95.624813,"arc_sweep_degrees":95.624813,"ray_endpoints":[[467.893,291.5019],[329.31,378.9855]],"vertex":[355.51,274.74]}],"canvas_size":[487,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0155","image_path":"images/angle_estimation_0155.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0155_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0155_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0155_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0155_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0155_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":155}
-{"canvas_size":[481,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0156","image_path":"images/angle_estimation_0156.png","interior_angles_degrees":[89.444418,32.13553,58.420052],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0156_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0156_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0156_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0156_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0156_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":156,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,368.8188],[426.0,368.8188],[57.2462,137.1812]]}
-{"canvas_size":[489,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0157","image_path":"images/angle_estimation_0157.png","interior_angles_degrees":[88.936134,41.597477,49.466389],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0157_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0157_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0157_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0157_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0157_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":157,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,421.0026],[434.0,421.0026],[61.1468,89.9974]]}
-{"canvas_size":[493,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0158","image_path":"images/angle_estimation_0158.png","interior_angles_degrees":[89.125293,33.015833,57.858873],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0158_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0158_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0158_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0158_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0158_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":158,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,370.2144],[438.0,370.2144],[58.7624,123.7856]]}
-{"canvas_size":[475,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0159","image_path":"images/angle_estimation_0159.png","interior_angles_degrees":[89.4375,44.385044,46.177455],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0159_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0159_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0159_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0159_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0159_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":159,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,421.9238],[420.0,421.9238],[58.474,68.0762]]}
-{"canvas_size":[457,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0160","image_path":"images/angle_estimation_0160.png","interior_angles_degrees":[89.283686,44.722074,45.99424],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0160_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0160_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0160_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0160_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0160_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":160,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,425.7234],[402.0,425.7234],[59.244,86.2766]]}
-{"angle_degrees":197.113231,"arc_sweep_degrees":197.113231,"canvas_size":[483,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0161","image_path":"images/angle_estimation_0161.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0161_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0161_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0161_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"17","question_id":"angle_estimation_0161_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0161_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[152.4498,140.077],[305.1839,389.1546]],"scene_type":"single","seed":161,"vertex":[241.5,243.5]}
-{"angle_degrees":317.000632,"arc_sweep_degrees":317.000632,"canvas_size":[453,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0162","image_path":"images/angle_estimation_0162.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0162_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_0162_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0162_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"137","question_id":"angle_estimation_0162_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0162_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[91.2696,259.4355],[141.0797,339.1698]],"scene_type":"single","seed":162,"vertex":[226.5,259.0]}
-{"angle_degrees":165.415558,"arc_sweep_degrees":165.415558,"canvas_size":[484,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0163","image_path":"images/angle_estimation_0163.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0163_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_0163_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0163_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"15","question_id":"angle_estimation_0163_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0163_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[365.1225,163.6377],[158.4331,361.9693]],"scene_type":"single","seed":163,"vertex":[242.0,256.5]}
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-{"angle_degrees":121.623527,"arc_sweep_degrees":121.623527,"canvas_size":[464,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0167","image_path":"images/angle_estimation_0167.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0167_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_0167_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0167_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"58","question_id":"angle_estimation_0167_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0167_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[223.7862,98.573],[370.1006,313.8218]],"scene_type":"single","seed":167,"vertex":[232.0,239.5]}
-{"angle_degrees":139.072577,"arc_sweep_degrees":139.072577,"canvas_size":[497,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0168","image_path":"images/angle_estimation_0168.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0168_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_0168_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0168_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"41","question_id":"angle_estimation_0168_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0168_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[337.472,137.5335],[248.6982,356.9023]],"scene_type":"single","seed":168,"vertex":[248.5,240.5]}
-{"angle_1_degrees":109.955396,"angle_2_degrees":98.847063,"angles":[{"angle_degrees":109.955396,"arc_sweep_degrees":109.955396,"ray_endpoints":[[80.9772,341.4582],[45.699,164.6707]],"vertex":[125.82,275.31]},{"angle_degrees":98.847063,"arc_sweep_degrees":98.847063,"ray_endpoints":[[389.8535,182.7414],[432.56,345.0894]],"vertex":[340.18,275.31]}],"canvas_size":[466,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0169","image_path":"images/angle_estimation_0169.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0169_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0169_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0169_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0169_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0169_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":169}
-{"angle_1_degrees":52.469046,"angle_2_degrees":29.458251,"angles":[{"angle_degrees":52.469046,"arc_sweep_degrees":52.469046,"ray_endpoints":[[224.1428,210.129],[234.8425,303.4378]],"vertex":[135.0,269.04]},{"angle_degrees":29.458251,"arc_sweep_degrees":29.458251,"ray_endpoints":[[278.3662,259.4027],[263.6621,195.9371]],"vertex":[365.0,269.04]}],"canvas_size":[500,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0170","image_path":"images/angle_estimation_0170.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0170_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0170_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0170_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0170_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0170_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":170}
-{"angle_1_degrees":49.728659,"angle_2_degrees":139.120918,"angles":[{"angle_degrees":49.728659,"arc_sweep_degrees":49.728659,"ray_endpoints":[[69.6282,226.5716],[127.9636,138.8737]],"vertex":[135.0,276.45]},{"angle_degrees":139.120918,"arc_sweep_degrees":139.120918,"ray_endpoints":[[315.8829,364.4714],[342.9968,170.359]],"vertex":[365.0,276.45]}],"canvas_size":[500,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0171","image_path":"images/angle_estimation_0171.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0171_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0171_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_0171_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0171_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0171_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":171}
-{"angle_1_degrees":128.51019,"angle_2_degrees":158.101768,"angles":[{"angle_degrees":128.51019,"arc_sweep_degrees":128.51019,"ray_endpoints":[[216.9481,236.4925],[81.8342,377.2828]],"vertex":[127.44,263.34]},{"angle_degrees":158.101768,"arc_sweep_degrees":158.101768,"ray_endpoints":[[420.0734,201.0292],[280.9606,380.1175]],"vertex":[344.56,263.34]}],"canvas_size":[472,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0172","image_path":"images/angle_estimation_0172.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0172_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0172_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0172_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0172_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0172_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":172}
-{"angle_1_degrees":60.292076,"angle_2_degrees":25.71403,"angles":[{"angle_degrees":60.292076,"arc_sweep_degrees":60.292076,"ray_endpoints":[[111.4543,363.301],[16.6324,314.0355]],"vertex":[126.9,274.17]},{"angle_degrees":25.71403,"arc_sweep_degrees":25.71403,"ray_endpoints":[[275.8796,214.2544],[302.709,177.0144]],"vertex":[343.1,274.17]}],"canvas_size":[470,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0173","image_path":"images/angle_estimation_0173.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0173_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0173_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0173_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0173_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0173_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":173}
-{"angle_1_degrees":20.926115,"angle_2_degrees":147.668297,"angles":[{"angle_degrees":20.926115,"arc_sweep_degrees":20.926115,"ray_endpoints":[[85.1077,202.0627],[106.4521,138.534]],"vertex":[121.5,272.46]},{"angle_degrees":147.668297,"arc_sweep_degrees":147.668297,"ray_endpoints":[[290.8875,341.4274],[320.8404,154.8149]],"vertex":[328.5,272.46]}],"canvas_size":[450,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0174","image_path":"images/angle_estimation_0174.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0174_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0174_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_0174_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0174_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0174_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":174}
-{"angle_1_degrees":18.290661,"angle_2_degrees":101.74645,"angles":[{"angle_degrees":18.290661,"arc_sweep_degrees":18.290661,"ray_endpoints":[[40.4557,204.9978],[52.7537,165.8984]],"vertex":[129.06,265.05]},{"angle_degrees":101.74645,"arc_sweep_degrees":101.74645,"ray_endpoints":[[271.3081,272.306],[362.9434,140.3388]],"vertex":[348.94,265.05]}],"canvas_size":[478,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0175","image_path":"images/angle_estimation_0175.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0175_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0175_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0175_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0175_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0175_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":175}
-{"canvas_size":[451,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0176","image_path":"images/angle_estimation_0176.png","interior_angles_degrees":[107.389851,23.343215,49.266934],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0176_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0176_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0176_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0176_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0176_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":176,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[101.0894,315.0814],[396.0,315.0814],[55.0,167.9186]]}
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-{"canvas_size":[459,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0180","image_path":"images/angle_estimation_0180.png","interior_angles_degrees":[123.975952,19.297914,36.726133],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0180_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0180_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0180_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0180_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0180_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":180,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[137.3529,303.6019],[404.0,303.6019],[55.0,181.3981]]}
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-{"angle_degrees":323.287194,"arc_sweep_degrees":323.287194,"canvas_size":[478,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0182","image_path":"images/angle_estimation_0182.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0182_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_0182_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0182_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"143","question_id":"angle_estimation_0182_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0182_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[269.7248,108.9218],[188.8641,136.7297]],"scene_type":"single","seed":182,"vertex":[239.0,248.0]}
-{"angle_degrees":10.447135,"arc_sweep_degrees":10.447135,"canvas_size":[456,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0183","image_path":"images/angle_estimation_0183.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0183_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_0183_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0183_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"170","question_id":"angle_estimation_0183_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0183_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[285.5324,111.7615],[295.2658,142.3325]],"scene_type":"single","seed":183,"vertex":[228.0,239.5]}
-{"angle_degrees":326.774602,"arc_sweep_degrees":326.774602,"canvas_size":[467,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0184","image_path":"images/angle_estimation_0184.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0184_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_0184_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0184_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"147","question_id":"angle_estimation_0184_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0184_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[292.4419,88.2444],[208.3441,114.5616]],"scene_type":"single","seed":184,"vertex":[233.5,237.0]}
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-{"angle_degrees":150.96091,"arc_sweep_degrees":150.96091,"canvas_size":[471,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0186","image_path":"images/angle_estimation_0186.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0186_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_0186_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0186_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"29","question_id":"angle_estimation_0186_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0186_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[353.8229,354.033],[105.5662,235.0323]],"scene_type":"single","seed":186,"vertex":[235.5,258.0]}
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-{"angle_1_degrees":58.787503,"angle_2_degrees":26.621947,"angles":[{"angle_degrees":58.787503,"arc_sweep_degrees":58.787503,"ray_endpoints":[[120.2006,207.479],[226.7055,206.6551]],"vertex":[129.6,283.29]},{"angle_degrees":26.621947,"arc_sweep_degrees":26.621947,"ray_endpoints":[[258.6346,240.7216],[261.2851,171.2262]],"vertex":[350.4,283.29]}],"canvas_size":[480,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0189","image_path":"images/angle_estimation_0189.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0189_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0189_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0189_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0189_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0189_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":189}
-{"angle_1_degrees":168.35613,"angle_2_degrees":18.901356,"angles":[{"angle_degrees":168.35613,"arc_sweep_degrees":168.35613,"ray_endpoints":[[122.3076,149.7719],[144.5898,367.7142]],"vertex":[122.58,262.2]},{"angle_degrees":18.901356,"arc_sweep_degrees":18.901356,"ray_endpoints":[[429.3831,292.6854],[429.0256,333.6028]],"vertex":[331.42,262.2]}],"canvas_size":[454,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0190","image_path":"images/angle_estimation_0190.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0190_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0190_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"150","question_id":"angle_estimation_0190_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0190_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0190_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":190}
-{"angle_1_degrees":135.930486,"angle_2_degrees":149.426161,"angles":[{"angle_degrees":135.930486,"arc_sweep_degrees":135.930486,"ray_endpoints":[[56.1099,329.9695],[155.6578,166.5572]],"vertex":[134.46,275.31]},{"angle_degrees":149.426161,"arc_sweep_degrees":149.426161,"ray_endpoints":[[288.3292,208.5308],[485.4168,299.0619]],"vertex":[363.54,275.31]}],"canvas_size":[498,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0191","image_path":"images/angle_estimation_0191.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0191_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0191_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0191_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0191_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0191_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":191}
-{"angle_1_degrees":23.934435,"angle_2_degrees":59.12325,"angles":[{"angle_degrees":23.934435,"arc_sweep_degrees":23.934435,"ray_endpoints":[[112.0772,357.9781],[49.3046,384.8087]],"vertex":[127.71,267.33]},{"angle_degrees":59.12325,"arc_sweep_degrees":59.12325,"ray_endpoints":[[404.3557,327.5647],[316.7816,376.1162]],"vertex":[345.29,267.33]}],"canvas_size":[473,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0192","image_path":"images/angle_estimation_0192.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0192_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0192_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0192_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0192_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0192_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":192}
-{"angle_1_degrees":44.48821,"angle_2_degrees":145.047109,"angles":[{"angle_degrees":44.48821,"arc_sweep_degrees":44.48821,"ray_endpoints":[[88.4747,358.1504],[21.0647,310.8504]],"vertex":[130.95,273.03]},{"angle_degrees":145.047109,"arc_sweep_degrees":145.047109,"ray_endpoints":[[364.2526,361.2359],[261.0231,168.0701]],"vertex":[354.05,273.03]}],"canvas_size":[485,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0193","image_path":"images/angle_estimation_0193.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0193_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0193_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_0193_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0193_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0193_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":193}
-{"angle_1_degrees":139.841675,"angle_2_degrees":128.413837,"angles":[{"angle_degrees":139.841675,"arc_sweep_degrees":139.841675,"ray_endpoints":[[45.0515,290.9744],[198.9215,139.9369]],"vertex":[131.76,258.78]},{"angle_degrees":128.413837,"arc_sweep_degrees":128.413837,"ray_endpoints":[[276.1669,304.528],[374.5424,138.7994]],"vertex":[356.24,258.78]}],"canvas_size":[488,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0194","image_path":"images/angle_estimation_0194.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0194_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0194_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0194_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0194_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0194_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":194}
-{"angle_1_degrees":48.639958,"angle_2_degrees":39.324437,"angles":[{"angle_degrees":48.639958,"arc_sweep_degrees":48.639958,"ray_endpoints":[[92.0276,178.0053],[183.8887,161.2109]],"vertex":[131.76,270.75]},{"angle_degrees":39.324437,"arc_sweep_degrees":39.324437,"ray_endpoints":[[372.7879,188.6257],[452.8337,191.7365]],"vertex":[356.24,270.75]}],"canvas_size":[488,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0195","image_path":"images/angle_estimation_0195.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0195_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0195_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0195_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0195_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0195_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":195}
-{"canvas_size":[491,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0196","image_path":"images/angle_estimation_0196.png","interior_angles_degrees":[65.528733,53.785881,60.685387],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0196_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0196_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0196_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0196_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0196_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":196,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,416.4361],[436.0,416.4361],[201.0356,95.5639]]}
-{"canvas_size":[484,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0197","image_path":"images/angle_estimation_0197.png","interior_angles_degrees":[42.697871,52.733931,84.568197],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0197_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0197_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0197_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0197_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0197_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":197,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,341.3753],[429.0,341.3753],[274.7351,138.6247]]}
-{"canvas_size":[453,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0198","image_path":"images/angle_estimation_0198.png","interior_angles_degrees":[45.328872,59.887148,74.78398],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0198_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0198_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0198_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0198_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0198_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":198,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,367.3356],[398.0,367.3356],[271.1752,148.6644]]}
-{"canvas_size":[472,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0199","image_path":"images/angle_estimation_0199.png","interior_angles_degrees":[51.134681,66.473435,62.391884],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0199_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0199_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0199_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0199_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0199_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":199,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,409.3192],[417.0,409.3192],[290.0312,117.6808]]}
-{"canvas_size":[452,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0200","image_path":"images/angle_estimation_0200.png","interior_angles_degrees":[43.001979,54.055328,82.942692],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0200_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0200_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0200_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0200_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0200_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":200,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,341.6394],[397.0,341.6394],[259.0349,151.3606]]}
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-{"angle_degrees":296.316715,"arc_sweep_degrees":296.316715,"canvas_size":[455,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0203","image_path":"images/angle_estimation_0203.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0203_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_0203_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0203_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"116","question_id":"angle_estimation_0203_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0203_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[256.2505,85.6668],[133.4602,167.1239]],"scene_type":"single","seed":203,"vertex":[227.5,238.0]}
-{"angle_degrees":324.539767,"arc_sweep_degrees":324.539767,"canvas_size":[475,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0204","image_path":"images/angle_estimation_0204.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0204_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_0204_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0204_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"145","question_id":"angle_estimation_0204_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0204_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[325.183,136.2316],[248.5187,110.274]],"scene_type":"single","seed":204,"vertex":[237.5,239.5]}
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-{"angle_1_degrees":13.737735,"angle_2_degrees":164.475608,"angles":[{"angle_degrees":13.737735,"arc_sweep_degrees":13.737735,"ray_endpoints":[[166.5033,359.2297],[154.8775,408.9253]],"vertex":[130.95,280.44]},{"angle_degrees":164.475608,"arc_sweep_degrees":164.475608,"ray_endpoints":[[315.9793,361.5687],[376.3487,148.8053]],"vertex":[354.05,280.44]}],"canvas_size":[485,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0209","image_path":"images/angle_estimation_0209.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0209_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0209_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"150","question_id":"angle_estimation_0209_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0209_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0209_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":209}
-{"angle_1_degrees":74.856458,"angle_2_degrees":36.912746,"angles":[{"angle_degrees":74.856458,"arc_sweep_degrees":74.856458,"ray_endpoints":[[201.3986,275.3505],[129.4934,373.0908]],"vertex":[127.98,256.5]},{"angle_degrees":36.912746,"arc_sweep_degrees":36.912746,"ray_endpoints":[[403.1598,313.1029],[364.4227,381.7626]],"vertex":[346.02,256.5]}],"canvas_size":[474,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0210","image_path":"images/angle_estimation_0210.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0210_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0210_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0210_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0210_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0210_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":210}
-{"angle_1_degrees":72.350973,"angle_2_degrees":27.428257,"angles":[{"angle_degrees":72.350973,"arc_sweep_degrees":72.350973,"ray_endpoints":[[209.2768,262.18],[186.6801,401.8068]],"vertex":[131.22,269.04]},{"angle_degrees":27.428257,"arc_sweep_degrees":27.428257,"ray_endpoints":[[430.0037,287.9841],[455.5782,358.4181]],"vertex":[354.78,269.04]}],"canvas_size":[486,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0211","image_path":"images/angle_estimation_0211.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0211_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0211_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0211_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0211_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0211_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":211}
-{"angle_1_degrees":133.949914,"angle_2_degrees":35.643093,"angles":[{"angle_degrees":133.949914,"arc_sweep_degrees":133.949914,"ray_endpoints":[[159.89,366.3225],[30.527,234.2257]],"vertex":[128.25,278.16]},{"angle_degrees":35.643093,"arc_sweep_degrees":35.643093,"ray_endpoints":[[262.5546,250.4048],[272.8464,176.8574]],"vertex":[346.75,278.16]}],"canvas_size":[475,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0212","image_path":"images/angle_estimation_0212.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0212_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0212_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_0212_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0212_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0212_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":212}
-{"angle_1_degrees":45.279664,"angle_2_degrees":13.183965,"angles":[{"angle_degrees":45.279664,"arc_sweep_degrees":45.279664,"ray_endpoints":[[33.0892,259.1423],[48.2955,171.259]],"vertex":[123.93,271.32]},{"angle_degrees":13.183965,"arc_sweep_degrees":13.183965,"ray_endpoints":[[358.4505,190.9034],[393.2144,168.1107]],"vertex":[335.07,271.32]}],"canvas_size":[459,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0213","image_path":"images/angle_estimation_0213.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0213_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0213_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0213_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0213_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0213_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":213}
-{"angle_1_degrees":45.769366,"angle_2_degrees":54.408077,"angles":[{"angle_degrees":45.769366,"arc_sweep_degrees":45.769366,"ray_endpoints":[[47.8641,261.3032],[63.1218,164.6831]],"vertex":[130.41,282.72]},{"angle_degrees":54.408077,"arc_sweep_degrees":54.408077,"ray_endpoints":[[430.2512,278.672],[441.402,394.0697]],"vertex":[352.59,282.72]}],"canvas_size":[483,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0214","image_path":"images/angle_estimation_0214.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0214_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0214_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0214_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0214_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0214_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":214}
-{"angle_1_degrees":157.063049,"angle_2_degrees":25.912859,"angles":[{"angle_degrees":157.063049,"arc_sweep_degrees":157.063049,"ray_endpoints":[[205.8052,300.7371],[14.8392,295.4781]],"vertex":[122.04,279.3]},{"angle_degrees":25.912859,"arc_sweep_degrees":25.912859,"ray_endpoints":[[363.5469,195.7587],[427.7492,190.6766]],"vertex":[329.96,279.3]}],"canvas_size":[452,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0215","image_path":"images/angle_estimation_0215.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0215_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0215_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_0215_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0215_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0215_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":215}
-{"canvas_size":[463,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0216","image_path":"images/angle_estimation_0216.png","interior_angles_degrees":[89.95794,32.843667,57.198393],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0216_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0216_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0216_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0216_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0216_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":216,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,374.383],[408.0,374.383],[55.1672,146.617]]}
-{"canvas_size":[468,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0217","image_path":"images/angle_estimation_0217.png","interior_angles_degrees":[90.430043,35.723034,53.846923],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0217_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0217_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0217_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0217_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0217_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":217,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.9325,376.2337],[413.0,376.2337],[55.0,118.7663]]}
-{"canvas_size":[469,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0218","image_path":"images/angle_estimation_0218.png","interior_angles_degrees":[90.985761,42.77813,46.236109],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0218_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0218_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0218_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0218_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0218_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":218,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[60.7157,411.5916],[414.0,411.5916],[55.0,79.4084]]}
-{"canvas_size":[494,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0219","image_path":"images/angle_estimation_0219.png","interior_angles_degrees":[88.98832,47.384194,43.627486],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0219_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0219_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0219_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0219_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0219_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":219,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[64.1455,455.0],[429.8545,455.0],[71.0325,65.0]]}
-{"canvas_size":[497,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0220","image_path":"images/angle_estimation_0220.png","interior_angles_degrees":[89.44969,39.41406,51.136251],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0220_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0220_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0220_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0220_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0220_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":220,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,421.7768],[442.0,421.7768],[58.0309,106.2232]]}
-{"angle_degrees":41.821809,"arc_sweep_degrees":41.821809,"canvas_size":[465,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0221","image_path":"images/angle_estimation_0221.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0221_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_0221_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0221_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"138","question_id":"angle_estimation_0221_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0221_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[248.7427,388.5816],[143.7474,376.7219]],"scene_type":"single","seed":221,"vertex":[232.5,250.5]}
-{"angle_degrees":114.082961,"arc_sweep_degrees":114.082961,"canvas_size":[499,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0222","image_path":"images/angle_estimation_0222.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0222_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_0222_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0222_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"66","question_id":"angle_estimation_0222_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0222_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[241.7215,113.7798],[360.3422,281.5668]],"scene_type":"single","seed":222,"vertex":[249.5,240.0]}
-{"angle_degrees":159.532458,"arc_sweep_degrees":159.532458,"canvas_size":[471,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0223","image_path":"images/angle_estimation_0223.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0223_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_0223_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0223_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"20","question_id":"angle_estimation_0223_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0223_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[90.9213,245.8236],[364.5247,202.0434]],"scene_type":"single","seed":223,"vertex":[235.5,248.0]}
-{"angle_degrees":168.011744,"arc_sweep_degrees":168.011744,"canvas_size":[454,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0224","image_path":"images/angle_estimation_0224.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0224_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_0224_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0224_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"12","question_id":"angle_estimation_0224_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0224_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[368.2342,345.6289],[77.8362,176.5379]],"scene_type":"single","seed":224,"vertex":[227.0,243.0]}
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-{"angle_degrees":233.23346,"arc_sweep_degrees":233.23346,"canvas_size":[498,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0228","image_path":"images/angle_estimation_0228.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0228_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_0228_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0228_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"53","question_id":"angle_estimation_0228_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0228_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[108.5455,196.5977],[275.1947,374.1892]],"scene_type":"single","seed":228,"vertex":[249.0,259.0]}
-{"angle_1_degrees":46.031427,"angle_2_degrees":95.159545,"angles":[{"angle_degrees":46.031427,"arc_sweep_degrees":46.031427,"ray_endpoints":[[49.8789,190.8902],[123.4229,123.2136]],"vertex":[130.41,261.06]},{"angle_degrees":95.159545,"arc_sweep_degrees":95.159545,"ray_endpoints":[[389.5605,155.5464],[466.1489,312.7383]],"vertex":[352.59,261.06]}],"canvas_size":[483,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0229","image_path":"images/angle_estimation_0229.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0229_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0229_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0229_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0229_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0229_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":229}
-{"angle_1_degrees":26.572416,"angle_2_degrees":55.887434,"angles":[{"angle_degrees":26.572416,"arc_sweep_degrees":26.572416,"ray_endpoints":[[45.134,330.6344],[28.8234,282.8351]],"vertex":[133.65,262.2]},{"angle_degrees":55.887434,"arc_sweep_degrees":55.887434,"ray_endpoints":[[459.5263,244.8546],[449.8716,353.4453]],"vertex":[361.35,262.2]}],"canvas_size":[495,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0230","image_path":"images/angle_estimation_0230.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0230_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0230_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0230_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0230_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0230_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":230}
-{"angle_1_degrees":132.430922,"angle_2_degrees":57.113524,"angles":[{"angle_degrees":132.430922,"arc_sweep_degrees":132.430922,"ray_endpoints":[[195.8016,330.1325],[12.2223,269.7851]],"vertex":[121.77,261.06]},{"angle_degrees":57.113524,"arc_sweep_degrees":57.113524,"ray_endpoints":[[438.104,273.8839],[390.8166,386.393]],"vertex":[329.23,261.06]}],"canvas_size":[451,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0231","image_path":"images/angle_estimation_0231.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0231_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0231_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0231_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0231_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0231_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":231}
-{"angle_1_degrees":47.313839,"angle_2_degrees":22.877444,"angles":[{"angle_degrees":47.313839,"arc_sweep_degrees":47.313839,"ray_endpoints":[[105.1495,367.6793],[27.4323,321.2608]],"vertex":[126.09,260.49]},{"angle_degrees":22.877444,"arc_sweep_degrees":22.877444,"ray_endpoints":[[421.9824,338.7552],[388.7348,372.441]],"vertex":[340.91,260.49]}],"canvas_size":[467,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0232","image_path":"images/angle_estimation_0232.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0232_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0232_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0232_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0232_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0232_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":232}
-{"angle_1_degrees":37.895663,"angle_2_degrees":46.929024,"angles":[{"angle_degrees":37.895663,"arc_sweep_degrees":37.895663,"ray_endpoints":[[227.5409,333.7558],[180.9709,396.9702]],"vertex":[133.11,279.3]},{"angle_degrees":46.929024,"arc_sweep_degrees":46.929024,"ray_endpoints":[[437.7069,265.152],[451.668,347.5214]],"vertex":[359.89,279.3]}],"canvas_size":[493,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0233","image_path":"images/angle_estimation_0233.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0233_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0233_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0233_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0233_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0233_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":233}
-{"angle_1_degrees":72.364414,"angle_2_degrees":119.534787,"angles":[{"angle_degrees":72.364414,"arc_sweep_degrees":72.364414,"ray_endpoints":[[217.1389,275.864],[150.4592,383.8914]],"vertex":[127.17,265.62]},{"angle_degrees":119.534787,"arc_sweep_degrees":119.534787,"ray_endpoints":[[313.8311,180.5922],[451.5783,284.8154]],"vertex":[343.83,265.62]}],"canvas_size":[471,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0234","image_path":"images/angle_estimation_0234.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0234_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0234_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0234_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0234_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0234_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":234}
-{"angle_1_degrees":92.35321,"angle_2_degrees":15.944911,"angles":[{"angle_degrees":92.35321,"arc_sweep_degrees":92.35321,"ray_endpoints":[[185.5792,230.6515],[194.7818,364.4299]],"vertex":[127.44,282.72]},{"angle_degrees":15.944911,"arc_sweep_degrees":15.944911,"ray_endpoints":[[383.4231,216.0184],[422.1102,208.2786]],"vertex":[344.56,282.72]}],"canvas_size":[472,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0235","image_path":"images/angle_estimation_0235.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0235_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0235_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0235_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0235_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0235_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":235}
-{"canvas_size":[493,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0236","image_path":"images/angle_estimation_0236.png","interior_angles_degrees":[128.755028,18.315487,32.929485],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0236_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0236_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0236_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0236_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0236_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":236,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[156.77,314.89],[438.0,314.89],[55.0,188.11]]}
-{"canvas_size":[489,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0237","image_path":"images/angle_estimation_0237.png","interior_angles_degrees":[138.748617,18.844191,22.407192],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0237_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0237_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0237_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0237_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0237_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":237,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[202.4864,320.1742],[434.0,320.1742],[55.0,190.8258]]}
-{"canvas_size":[500,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0238","image_path":"images/angle_estimation_0238.png","interior_angles_degrees":[128.212708,21.451747,30.335545],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0238_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0238_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0238_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0238_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0238_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":238,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[175.6476,328.1229],[445.0,328.1229],[55.0,174.8771]]}
-{"canvas_size":[457,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0239","image_path":"images/angle_estimation_0239.png","interior_angles_degrees":[104.292443,23.496015,52.211542],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0239_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0239_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0239_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0239_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0239_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":239,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[93.4303,321.4256],[402.0,321.4256],[55.0,170.5744]]}
-{"canvas_size":[489,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0240","image_path":"images/angle_estimation_0240.png","interior_angles_degrees":[138.063847,18.757975,23.178177],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0240_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0240_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0240_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0240_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0240_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":240,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[198.2699,305.856],[434.0,305.856],[55.0,177.144]]}
-{"angle_degrees":130.394145,"arc_sweep_degrees":130.394145,"canvas_size":[494,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0241","image_path":"images/angle_estimation_0241.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0241_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_0241_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0241_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"50","question_id":"angle_estimation_0241_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0241_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[260.9518,413.4703],[126.6371,168.481]],"scene_type":"single","seed":241,"vertex":[247.0,254.0]}
-{"angle_degrees":337.060291,"arc_sweep_degrees":337.060291,"canvas_size":[471,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0242","image_path":"images/angle_estimation_0242.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0242_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_0242_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0242_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"157","question_id":"angle_estimation_0242_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0242_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[260.5029,83.2915],[203.2644,105.5654]],"scene_type":"single","seed":242,"vertex":[235.5,237.5]}
-{"angle_degrees":154.296961,"arc_sweep_degrees":154.296961,"canvas_size":[483,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0243","image_path":"images/angle_estimation_0243.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0243_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_0243_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0243_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"26","question_id":"angle_estimation_0243_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0243_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[230.0212,394.091],[196.8017,132.0038]],"scene_type":"single","seed":243,"vertex":[241.5,247.0]}
-{"angle_degrees":277.159094,"arc_sweep_degrees":277.159094,"canvas_size":[498,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0244","image_path":"images/angle_estimation_0244.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0244_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"270","question_id":"angle_estimation_0244_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0244_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"97","question_id":"angle_estimation_0244_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0244_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[106.7524,292.3298],[261.9772,414.0842]],"scene_type":"single","seed":244,"vertex":[249.0,262.0]}
-{"angle_degrees":89.999994,"arc_sweep_degrees":89.999994,"canvas_size":[458,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0245","image_path":"images/angle_estimation_0245.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"right","question_id":"angle_estimation_0245_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_0245_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"approximately equal to","question_id":"angle_estimation_0245_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"90","question_id":"angle_estimation_0245_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0245_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[220.4659,117.7839],[353.508,237.7127]],"scene_type":"single","seed":245,"vertex":[229.0,246.0]}
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-{"angle_degrees":324.871671,"arc_sweep_degrees":324.871671,"canvas_size":[476,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0248","image_path":"images/angle_estimation_0248.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0248_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_0248_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0248_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"145","question_id":"angle_estimation_0248_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0248_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[93.3647,295.2831],[160.9497,348.1305]],"scene_type":"single","seed":248,"vertex":[238.0,260.0]}
-{"angle_1_degrees":33.871427,"angle_2_degrees":65.149389,"angles":[{"angle_degrees":33.871427,"arc_sweep_degrees":33.871427,"ray_endpoints":[[160.4439,387.1419],[92.2915,391.9795]],"vertex":[126.09,277.59]},{"angle_degrees":65.149389,"arc_sweep_degrees":65.149389,"ray_endpoints":[[425.4173,314.7631],[343.6338,418.5678]],"vertex":[340.91,277.59]}],"canvas_size":[467,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0249","image_path":"images/angle_estimation_0249.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0249_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0249_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0249_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0249_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0249_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":249}
-{"angle_1_degrees":35.424935,"angle_2_degrees":140.973497,"angles":[{"angle_degrees":35.424935,"arc_sweep_degrees":35.424935,"ray_endpoints":[[37.5872,287.988],[25.6336,223.8312]],"vertex":[127.98,270.75]},{"angle_degrees":140.973497,"arc_sweep_degrees":140.973497,"ray_endpoints":[[391.4301,200.6211],[359.6398,398.141]],"vertex":[346.02,270.75]}],"canvas_size":[474,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0250","image_path":"images/angle_estimation_0250.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0250_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0250_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0250_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0250_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0250_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":250}
-{"angle_1_degrees":88.252343,"angle_2_degrees":51.973436,"angles":[{"angle_degrees":88.252343,"arc_sweep_degrees":88.252343,"ray_endpoints":[[17.925,271.887],[134.666,159.4641]],"vertex":[129.06,280.44]},{"angle_degrees":51.973436,"arc_sweep_degrees":51.973436,"ray_endpoints":[[262.8147,221.2462],[340.0234,135.7275]],"vertex":[348.94,280.44]}],"canvas_size":[478,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0251","image_path":"images/angle_estimation_0251.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0251_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0251_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0251_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0251_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0251_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":251}
-{"angle_1_degrees":59.080748,"angle_2_degrees":22.262682,"angles":[{"angle_degrees":59.080748,"arc_sweep_degrees":59.080748,"ray_endpoints":[[187.9907,342.9942],[99.0481,379.8875]],"vertex":[134.73,278.73]},{"angle_degrees":22.262682,"arc_sweep_degrees":22.262682,"ray_endpoints":[[368.0672,393.2961],[317.3434,405.1525]],"vertex":[364.27,278.73]}],"canvas_size":[499,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0252","image_path":"images/angle_estimation_0252.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0252_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0252_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0252_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0252_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0252_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":252}
-{"angle_1_degrees":69.450134,"angle_2_degrees":111.221512,"angles":[{"angle_degrees":69.450134,"arc_sweep_degrees":69.450134,"ray_endpoints":[[62.4622,324.8255],[36.8338,213.0765]],"vertex":[130.68,275.88]},{"angle_degrees":111.221512,"arc_sweep_degrees":111.221512,"ray_endpoints":[[301.9666,342.6469],[291.099,173.1935]],"vertex":[353.32,275.88]}],"canvas_size":[484,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0253","image_path":"images/angle_estimation_0253.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0253_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0253_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0253_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0253_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0253_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":253}
-{"angle_1_degrees":37.724927,"angle_2_degrees":13.307329,"angles":[{"angle_degrees":37.724927,"arc_sweep_degrees":37.724927,"ray_endpoints":[[77.0146,216.0175],[120.2171,135.4541]],"vertex":[127.71,274.74]},{"angle_degrees":13.307329,"arc_sweep_degrees":13.307329,"ray_endpoints":[[288.3912,361.6906],[265.6349,350.3106]],"vertex":[345.29,274.74]}],"canvas_size":[473,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0254","image_path":"images/angle_estimation_0254.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0254_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0254_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0254_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0254_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0254_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":254}
-{"angle_1_degrees":76.90467,"angle_2_degrees":25.047127,"angles":[{"angle_degrees":76.90467,"arc_sweep_degrees":76.90467,"ray_endpoints":[[36.0197,304.4628],[40.265,155.2173]],"vertex":[122.31,267.9]},{"angle_degrees":25.047127,"arc_sweep_degrees":25.047127,"ray_endpoints":[[360.0183,170.4543],[411.2665,177.7718]],"vertex":[330.69,267.9]}],"canvas_size":[453,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0255","image_path":"images/angle_estimation_0255.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0255_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0255_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0255_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0255_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0255_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":255}
-{"canvas_size":[481,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0256","image_path":"images/angle_estimation_0256.png","interior_angles_degrees":[50.002892,47.467228,82.52988],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0256_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0256_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0256_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0256_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0256_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":256,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,355.1139],[426.0,355.1139],[232.223,143.8861]]}
-{"canvas_size":[470,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0257","image_path":"images/angle_estimation_0257.png","interior_angles_degrees":[59.533271,64.284704,56.182025],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0257_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0257_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0257_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0257_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0257_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":257,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,421.2464],[415.0,421.2464],[252.9463,84.7536]]}
-{"canvas_size":[491,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0258","image_path":"images/angle_estimation_0258.png","interior_angles_degrees":[59.545735,49.004857,71.449408],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0258_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0258_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0258_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0258_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0258_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":258,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,372.7384],[436.0,372.7384],[208.7406,111.2616]]}
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-{"angle_degrees":338.200564,"arc_sweep_degrees":338.200564,"canvas_size":[497,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0263","image_path":"images/angle_estimation_0263.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0263_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_0263_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0263_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"158","question_id":"angle_estimation_0263_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0263_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[113.4108,157.9983],[122.6197,226.031]],"scene_type":"single","seed":263,"vertex":[248.5,261.0]}
-{"angle_degrees":238.815807,"arc_sweep_degrees":238.815807,"canvas_size":[489,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0264","image_path":"images/angle_estimation_0264.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0264_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_0264_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0264_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"59","question_id":"angle_estimation_0264_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0264_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[178.8723,398.9371],[379.9083,248.0818]],"scene_type":"single","seed":264,"vertex":[244.5,261.5]}
-{"angle_degrees":60.00001,"arc_sweep_degrees":60.00001,"canvas_size":[475,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0265","image_path":"images/angle_estimation_0265.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0265_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_0265_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0265_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_0265_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0265_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[278.2931,395.506],[123.2311,369.7861]],"scene_type":"single","seed":265,"vertex":[237.5,252.0]}
-{"angle_degrees":241.761997,"arc_sweep_degrees":241.761997,"canvas_size":[454,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0266","image_path":"images/angle_estimation_0266.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0266_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_0266_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0266_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"62","question_id":"angle_estimation_0266_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0266_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[103.1058,214.5613],[254.4083,400.7326]],"scene_type":"single","seed":266,"vertex":[227.0,254.0]}
-{"angle_degrees":161.233046,"arc_sweep_degrees":161.233046,"canvas_size":[462,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0267","image_path":"images/angle_estimation_0267.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0267_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_0267_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0267_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"19","question_id":"angle_estimation_0267_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0267_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[97.1296,189.6387],[342.1655,239.258]],"scene_type":"single","seed":267,"vertex":[231.0,237.5]}
-{"angle_degrees":200.712823,"arc_sweep_degrees":200.712823,"canvas_size":[498,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0268","image_path":"images/angle_estimation_0268.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0268_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0268_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0268_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"21","question_id":"angle_estimation_0268_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0268_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[340.9827,341.6639],[192.6022,136.6271]],"scene_type":"single","seed":268,"vertex":[249.0,254.0]}
-{"angle_1_degrees":46.226181,"angle_2_degrees":143.594408,"angles":[{"angle_degrees":46.226181,"arc_sweep_degrees":46.226181,"ray_endpoints":[[15.9516,263.8019],[39.168,180.8778]],"vertex":[122.04,257.07]},{"angle_degrees":143.594408,"arc_sweep_degrees":143.594408,"ray_endpoints":[[384.9861,179.9584],[332.155,397.6871]],"vertex":[329.96,257.07]}],"canvas_size":[452,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0269","image_path":"images/angle_estimation_0269.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0269_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0269_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_0269_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0269_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0269_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":269}
-{"angle_1_degrees":140.124238,"angle_2_degrees":126.891016,"angles":[{"angle_degrees":140.124238,"arc_sweep_degrees":140.124238,"ray_endpoints":[[188.5961,184.2644],[129.5838,374.691]],"vertex":[124.47,269.04]},{"angle_degrees":126.891016,"arc_sweep_degrees":126.891016,"ray_endpoints":[[262.9816,247.3117],[446.8775,186.9382]],"vertex":[336.53,269.04]}],"canvas_size":[461,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0270","image_path":"images/angle_estimation_0270.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0270_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0270_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0270_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0270_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0270_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":270}
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-{"angle_1_degrees":20.004908,"angle_2_degrees":150.415579,"angles":[{"angle_degrees":20.004908,"arc_sweep_degrees":20.004908,"ray_endpoints":[[57.0983,218.1124],[46.9882,150.6611]],"vertex":[129.6,269.04]},{"angle_degrees":150.415579,"arc_sweep_degrees":150.415579,"ray_endpoints":[[254.1602,263.5188],[450.9769,219.3296]],"vertex":[350.4,269.04]}],"canvas_size":[480,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0272","image_path":"images/angle_estimation_0272.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0272_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0272_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_0272_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0272_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0272_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":272}
-{"angle_1_degrees":111.328409,"angle_2_degrees":48.294645,"angles":[{"angle_degrees":111.328409,"arc_sweep_degrees":111.328409,"ray_endpoints":[[182.9882,193.9817],[197.7594,385.8821]],"vertex":[124.74,280.44]},{"angle_degrees":48.294645,"arc_sweep_degrees":48.294645,"ray_endpoints":[[283.5999,201.3079],[367.9955,158.5554]],"vertex":[337.26,280.44]}],"canvas_size":[462,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0273","image_path":"images/angle_estimation_0273.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0273_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0273_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0273_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0273_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0273_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":273}
-{"angle_1_degrees":69.119788,"angle_2_degrees":17.09438,"angles":[{"angle_degrees":69.119788,"arc_sweep_degrees":69.119788,"ray_endpoints":[[141.5336,354.5458],[13.8042,344.7278]],"vertex":[123.93,273.03]},{"angle_degrees":17.09438,"arc_sweep_degrees":17.09438,"ray_endpoints":[[243.0378,220.6142],[243.078,175.2139]],"vertex":[335.07,273.03]}],"canvas_size":[459,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0274","image_path":"images/angle_estimation_0274.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0274_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0274_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0274_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0274_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0274_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":274}
-{"angle_1_degrees":101.320419,"angle_2_degrees":69.406523,"angles":[{"angle_degrees":101.320419,"arc_sweep_degrees":101.320419,"ray_endpoints":[[91.6134,336.0086],[49.666,187.0664]],"vertex":[134.46,260.49]},{"angle_degrees":69.406523,"arc_sweep_degrees":69.406523,"ray_endpoints":[[290.2839,192.3219],[416.6134,131.3796]],"vertex":[363.54,260.49]}],"canvas_size":[498,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0275","image_path":"images/angle_estimation_0275.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0275_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0275_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0275_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0275_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0275_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":275}
-{"canvas_size":[473,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0276","image_path":"images/angle_estimation_0276.png","interior_angles_degrees":[90.580885,52.515544,36.903571],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0276_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0276_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0276_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0276_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0276_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":276,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[104.3485,419.0],[372.2406,419.0],[100.7594,65.0]]}
-{"canvas_size":[455,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0277","image_path":"images/angle_estimation_0277.png","interior_angles_degrees":[88.987437,44.632505,46.380058],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0277_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0277_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0277_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0277_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0277_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":277,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,412.8806],[400.0,412.8806],[60.9167,78.1194]]}
-{"canvas_size":[468,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0278","image_path":"images/angle_estimation_0278.png","interior_angles_degrees":[89.965247,52.495673,37.53908],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0278_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0278_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0278_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0278_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0278_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":278,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[87.6858,446.0],[380.3142,446.0],[87.9169,65.0]]}
-{"canvas_size":[476,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0279","image_path":"images/angle_estimation_0279.png","interior_angles_degrees":[89.014723,29.475209,61.510068],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0279_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0279_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0279_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0279_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0279_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":279,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,353.4362],[421.0,353.4362],[58.5234,148.5638]]}
-{"canvas_size":[469,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0280","image_path":"images/angle_estimation_0280.png","interior_angles_degrees":[90.87435,40.044666,49.080983],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0280_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0280_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0280_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0280_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0280_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":280,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[59.6046,404.857],[414.0,404.857],[55.0,103.143]]}
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-{"angle_degrees":117.692568,"arc_sweep_degrees":117.692568,"canvas_size":[481,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0286","image_path":"images/angle_estimation_0286.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0286_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_0286_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0286_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"62","question_id":"angle_estimation_0286_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0286_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[132.9188,309.2907],[226.4447,92.1427]],"scene_type":"single","seed":286,"vertex":[240.5,239.0]}
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-{"angle_degrees":280.28136,"arc_sweep_degrees":280.28136,"canvas_size":[468,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0288","image_path":"images/angle_estimation_0288.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0288_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_0288_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0288_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"100","question_id":"angle_estimation_0288_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0288_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[99.3446,316.2896],[262.0383,356.6551]],"scene_type":"single","seed":288,"vertex":[234.0,252.5]}
-{"angle_1_degrees":80.86722,"angle_2_degrees":135.302987,"angles":[{"angle_degrees":80.86722,"arc_sweep_degrees":80.86722,"ray_endpoints":[[223.0775,282.1498],[132.1937,386.7853]],"vertex":[134.46,266.19]},{"angle_degrees":135.302987,"arc_sweep_degrees":135.302987,"ray_endpoints":[[454.8006,288.9569],[269.1367,322.2187]],"vertex":[363.54,266.19]}],"canvas_size":[498,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0289","image_path":"images/angle_estimation_0289.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0289_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0289_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0289_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0289_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0289_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":289}
-{"angle_1_degrees":39.189554,"angle_2_degrees":54.957591,"angles":[{"angle_degrees":39.189554,"arc_sweep_degrees":39.189554,"ray_endpoints":[[204.1986,347.3507],[139.8865,407.2508]],"vertex":[130.68,268.47]},{"angle_degrees":54.957591,"arc_sweep_degrees":54.957591,"ray_endpoints":[[447.4295,213.2884],[464.6251,319.364]],"vertex":[353.32,268.47]}],"canvas_size":[484,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0290","image_path":"images/angle_estimation_0290.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0290_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0290_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0290_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0290_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0290_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":290}
-{"angle_1_degrees":127.857438,"angle_2_degrees":52.584883,"angles":[{"angle_degrees":127.857438,"arc_sweep_degrees":127.857438,"ray_endpoints":[[233.7549,238.9977],[95.4088,382.7329]],"vertex":[132.84,273.6]},{"angle_degrees":52.584883,"arc_sweep_degrees":52.584883,"ray_endpoints":[[410.4085,370.1599],[304.1833,393.5243]],"vertex":[359.16,273.6]}],"canvas_size":[492,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0291","image_path":"images/angle_estimation_0291.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0291_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0291_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0291_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0291_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0291_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":291}
-{"angle_1_degrees":156.577999,"angle_2_degrees":102.69232,"angles":[{"angle_degrees":156.577999,"arc_sweep_degrees":156.577999,"ray_endpoints":[[213.8109,223.1589],[44.0593,367.2825]],"vertex":[134.73,261.63]},{"angle_degrees":102.69232,"arc_sweep_degrees":102.69232,"ray_endpoints":[[282.5636,219.7468],[447.593,161.7371]],"vertex":[364.27,261.63]}],"canvas_size":[499,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0292","image_path":"images/angle_estimation_0292.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0292_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0292_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0292_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0292_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0292_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":292}
-{"angle_1_degrees":41.5412,"angle_2_degrees":56.21724,"angles":[{"angle_degrees":41.5412,"arc_sweep_degrees":41.5412,"ray_endpoints":[[64.7566,184.457],[140.4603,160.9913]],"vertex":[129.6,273.6]},{"angle_degrees":56.21724,"arc_sweep_degrees":56.21724,"ray_endpoints":[[275.1213,301.187],[263.4031,210.1814]],"vertex":[350.4,273.6]}],"canvas_size":[480,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0293","image_path":"images/angle_estimation_0293.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0293_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0293_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0293_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0293_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0293_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":293}
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-{"angle_1_degrees":85.206459,"angle_2_degrees":136.069328,"angles":[{"angle_degrees":85.206459,"arc_sweep_degrees":85.206459,"ray_endpoints":[[211.1874,232.0541],[198.1629,383.3433]],"vertex":[126.36,282.15]},{"angle_degrees":136.069328,"arc_sweep_degrees":136.069328,"ray_endpoints":[[367.6561,200.8865],[400.746,402.3833]],"vertex":[341.64,282.15]}],"canvas_size":[468,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0295","image_path":"images/angle_estimation_0295.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0295_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0295_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0295_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0295_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0295_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":295}
-{"canvas_size":[454,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0296","image_path":"images/angle_estimation_0296.png","interior_angles_degrees":[126.509856,26.640658,26.849486],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0296_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0296_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0296_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0296_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0296_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":296,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[182.7394,334.2839],[399.0,334.2839],[55.0,161.7161]]}
-{"canvas_size":[483,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0297","image_path":"images/angle_estimation_0297.png","interior_angles_degrees":[139.289312,13.081927,27.628761],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0297_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0297_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0297_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0297_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0297_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":297,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[155.7319,294.8379],[428.0,294.8379],[55.0,208.1621]]}
-{"canvas_size":[463,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0298","image_path":"images/angle_estimation_0298.png","interior_angles_degrees":[105.547435,26.240947,48.211618],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0298_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0298_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0298_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0298_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0298_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":298,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[103.4127,344.5055],[408.0,344.5055],[55.0,170.4945]]}
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-{"canvas_size":[488,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0300","image_path":"images/angle_estimation_0300.png","interior_angles_degrees":[98.062792,35.803889,46.133319],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0300_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0300_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0300_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0300_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0300_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":300,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[93.6248,387.3306],[433.0,387.3306],[55.0,114.6694]]}
-{"angle_degrees":281.806845,"arc_sweep_degrees":281.806845,"canvas_size":[475,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0301","image_path":"images/angle_estimation_0301.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0301_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_0301_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0301_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"102","question_id":"angle_estimation_0301_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0301_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[250.6136,406.0919],[369.1157,272.6482]],"scene_type":"single","seed":301,"vertex":[237.5,257.0]}
-{"angle_degrees":305.177336,"arc_sweep_degrees":305.177336,"canvas_size":[485,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0302","image_path":"images/angle_estimation_0302.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0302_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_0302_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0302_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"125","question_id":"angle_estimation_0302_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0302_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[298.1887,119.7391],[156.2886,117.6006]],"scene_type":"single","seed":302,"vertex":[242.5,254.0]}
-{"angle_degrees":339.393258,"arc_sweep_degrees":339.393258,"canvas_size":[452,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0303","image_path":"images/angle_estimation_0303.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0303_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_0303_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0303_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"159","question_id":"angle_estimation_0303_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0303_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[353.2717,200.2483],[352.5474,139.1431]],"scene_type":"single","seed":303,"vertex":[226.0,244.5]}
-{"angle_degrees":155.147274,"arc_sweep_degrees":155.147274,"canvas_size":[458,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0304","image_path":"images/angle_estimation_0304.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0304_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_0304_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0304_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"25","question_id":"angle_estimation_0304_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0304_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[247.1139,410.1237],[160.8586,130.3491]],"scene_type":"single","seed":304,"vertex":[229.0,243.5]}
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-{"angle_degrees":277.896702,"arc_sweep_degrees":277.896702,"canvas_size":[477,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0306","image_path":"images/angle_estimation_0306.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0306_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_0306_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0306_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"98","question_id":"angle_estimation_0306_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0306_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[120.5547,326.8707],[296.4086,383.6384]],"scene_type":"single","seed":306,"vertex":[238.5,253.5]}
-{"angle_degrees":112.20958,"arc_sweep_degrees":112.20958,"canvas_size":[490,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0307","image_path":"images/angle_estimation_0307.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0307_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_0307_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0307_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"68","question_id":"angle_estimation_0307_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0307_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[102.2178,324.3576],[234.6798,117.1637]],"scene_type":"single","seed":307,"vertex":[245.0,253.0]}
-{"angle_degrees":338.716273,"arc_sweep_degrees":338.716273,"canvas_size":[461,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0308","image_path":"images/angle_estimation_0308.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0308_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_0308_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0308_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"159","question_id":"angle_estimation_0308_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0308_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[214.5767,383.375],[269.8145,389.4631]],"scene_type":"single","seed":308,"vertex":[230.5,241.5]}
-{"angle_1_degrees":70.644557,"angle_2_degrees":10.522866,"angles":[{"angle_degrees":70.644557,"arc_sweep_degrees":70.644557,"ray_endpoints":[[46.7943,214.0152],[160.7977,132.0076]],"vertex":[122.58,267.33]},{"angle_degrees":10.522866,"arc_sweep_degrees":10.522866,"ray_endpoints":[[284.6787,333.7337],[256.2413,340.785]],"vertex":[331.42,267.33]}],"canvas_size":[454,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0309","image_path":"images/angle_estimation_0309.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0309_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0309_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0309_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0309_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0309_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":309}
-{"angle_1_degrees":145.793537,"angle_2_degrees":35.786297,"angles":[{"angle_degrees":145.793537,"arc_sweep_degrees":145.793537,"ray_endpoints":[[150.4569,343.5801],[49.8358,183.565]],"vertex":[130.95,258.78]},{"angle_degrees":35.786297,"arc_sweep_degrees":35.786297,"ray_endpoints":[[327.0417,161.811],[392.585,154.1714]],"vertex":[354.05,258.78]}],"canvas_size":[485,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0310","image_path":"images/angle_estimation_0310.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0310_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0310_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0310_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0310_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0310_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":310}
-{"angle_1_degrees":126.00875,"angle_2_degrees":165.406341,"angles":[{"angle_degrees":126.00875,"arc_sweep_degrees":126.00875,"ray_endpoints":[[107.9137,357.8782],[30.0527,162.9485]],"vertex":[125.82,265.62]},{"angle_degrees":165.406341,"arc_sweep_degrees":165.406341,"ray_endpoints":[[322.9638,190.8564],[396.6742,373.861]],"vertex":[340.18,265.62]}],"canvas_size":[466,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0311","image_path":"images/angle_estimation_0311.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0311_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0311_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0311_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0311_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0311_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":311}
-{"angle_1_degrees":34.603033,"angle_2_degrees":61.079126,"angles":[{"angle_degrees":34.603033,"arc_sweep_degrees":34.603033,"ray_endpoints":[[142.5195,152.8402],[225.3437,150.3923]],"vertex":[132.57,261.63]},{"angle_degrees":61.079126,"arc_sweep_degrees":61.079126,"ray_endpoints":[[381.8076,339.7342],[264.8147,357.1734]],"vertex":[358.43,261.63]}],"canvas_size":[491,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0312","image_path":"images/angle_estimation_0312.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0312_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0312_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0312_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0312_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0312_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":312}
-{"angle_1_degrees":149.563799,"angle_2_degrees":40.851945,"angles":[{"angle_degrees":149.563799,"arc_sweep_degrees":149.563799,"ray_endpoints":[[211.2153,272.1262],[22.0361,309.364]],"vertex":[131.22,262.2]},{"angle_degrees":40.851945,"arc_sweep_degrees":40.851945,"ray_endpoints":[[273.0872,217.9774],[311.9307,148.923]],"vertex":[354.78,262.2]}],"canvas_size":[486,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0313","image_path":"images/angle_estimation_0313.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0313_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0313_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0313_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0313_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0313_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":313}
-{"angle_1_degrees":27.834482,"angle_2_degrees":10.422195,"angles":[{"angle_degrees":27.834482,"arc_sweep_degrees":27.834482,"ray_endpoints":[[151.0392,369.6398],[99.7787,384.6421]],"vertex":[124.74,273.03]},{"angle_degrees":10.422195,"arc_sweep_degrees":10.422195,"ray_endpoints":[[272.6724,200.8328],[273.1916,168.0428]],"vertex":[337.26,273.03]}],"canvas_size":[462,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0314","image_path":"images/angle_estimation_0314.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0314_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0314_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0314_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0314_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0314_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":314}
-{"angle_1_degrees":76.225224,"angle_2_degrees":12.441848,"angles":[{"angle_degrees":76.225224,"arc_sweep_degrees":76.225224,"ray_endpoints":[[183.4963,363.1475],[56.5848,360.7874]],"vertex":[128.52,281.58]},{"angle_degrees":12.441848,"arc_sweep_degrees":12.441848,"ray_endpoints":[[417.8928,329.2703],[438.2755,377.4308]],"vertex":[347.48,281.58]}],"canvas_size":[476,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0315","image_path":"images/angle_estimation_0315.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0315_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0315_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0315_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0315_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0315_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":315}
-{"canvas_size":[451,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0316","image_path":"images/angle_estimation_0316.png","interior_angles_degrees":[71.224824,26.974007,81.801169],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0316_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0316_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0316_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0316_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0316_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":316,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,313.9774],[396.0,313.9774],[105.2964,166.0226]]}
-{"canvas_size":[479,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0317","image_path":"images/angle_estimation_0317.png","interior_angles_degrees":[65.28796,46.432498,68.279542],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0317_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0317_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0317_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0317_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0317_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":317,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,371.2204],[424.0,371.2204],[175.3159,109.7796]]}
-{"canvas_size":[494,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0318","image_path":"images/angle_estimation_0318.png","interior_angles_degrees":[55.218657,64.501592,60.279752],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0318_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0318_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0318_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0318_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0318_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":318,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,424.3957],[439.0,424.3957],[282.6627,96.6043]]}
-{"canvas_size":[461,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0319","image_path":"images/angle_estimation_0319.png","interior_angles_degrees":[59.752841,48.702879,71.544281],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0319_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0319_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0319_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0319_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0319_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":319,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,361.0781],[406.0,361.0781],[195.039,120.9219]]}
-{"canvas_size":[478,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0320","image_path":"images/angle_estimation_0320.png","interior_angles_degrees":[56.458989,42.456919,81.084091],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0320_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0320_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0320_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0320_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0320_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":320,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,360.7912],[423.0,360.7912],[193.9354,151.2088]]}
-{"angle_degrees":52.688067,"arc_sweep_degrees":52.688067,"canvas_size":[467,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0321","image_path":"images/angle_estimation_0321.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0321_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_0321_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0321_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"127","question_id":"angle_estimation_0321_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0321_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[382.6079,214.8357],[334.8384,333.336]],"scene_type":"single","seed":321,"vertex":[233.5,249.5]}
-{"angle_degrees":152.759677,"arc_sweep_degrees":152.759677,"canvas_size":[495,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0322","image_path":"images/angle_estimation_0322.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0322_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_0322_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0322_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"27","question_id":"angle_estimation_0322_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0322_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[375.5327,254.6905],[142.1774,323.008]],"scene_type":"single","seed":322,"vertex":[247.5,261.5]}
-{"angle_degrees":47.948367,"arc_sweep_degrees":47.948367,"canvas_size":[496,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0323","image_path":"images/angle_estimation_0323.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0323_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_0323_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0323_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"132","question_id":"angle_estimation_0323_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0323_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[399.7151,223.2039],[337.3383,320.9777]],"scene_type":"single","seed":323,"vertex":[248.0,260.0]}
-{"angle_degrees":253.579017,"arc_sweep_degrees":253.579017,"canvas_size":[487,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0324","image_path":"images/angle_estimation_0324.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0324_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_0324_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0324_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"74","question_id":"angle_estimation_0324_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0324_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[74.313,204.2082],[252.3998,374.9625]],"scene_type":"single","seed":324,"vertex":[243.5,242.0]}
-{"angle_degrees":120.000013,"arc_sweep_degrees":120.000013,"canvas_size":[485,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0325","image_path":"images/angle_estimation_0325.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0325_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_0325_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0325_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"60","question_id":"angle_estimation_0325_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0325_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[171.2956,130.9491],[402.1855,232.9012]],"scene_type":"single","seed":325,"vertex":[242.5,241.0]}
-{"angle_degrees":115.026635,"arc_sweep_degrees":115.026635,"canvas_size":[456,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0326","image_path":"images/angle_estimation_0326.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0326_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_0326_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0326_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"65","question_id":"angle_estimation_0326_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0326_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[389.1404,215.4705],[200.5485,378.3922]],"scene_type":"single","seed":326,"vertex":[228.0,252.0]}
-{"angle_degrees":161.282705,"arc_sweep_degrees":161.282705,"canvas_size":[453,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0327","image_path":"images/angle_estimation_0327.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0327_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_0327_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0327_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"19","question_id":"angle_estimation_0327_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0327_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[323.7273,382.6108],[103.1668,169.3646]],"scene_type":"single","seed":327,"vertex":[226.5,253.5]}
-{"angle_degrees":168.357289,"arc_sweep_degrees":168.357289,"canvas_size":[491,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0328","image_path":"images/angle_estimation_0328.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0328_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_0328_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0328_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"12","question_id":"angle_estimation_0328_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0328_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[132.47,135.9736],[369.2534,337.5851]],"scene_type":"single","seed":328,"vertex":[245.5,253.0]}
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-{"angle_1_degrees":159.544779,"angle_2_degrees":74.316202,"angles":[{"angle_degrees":159.544779,"arc_sweep_degrees":159.544779,"ray_endpoints":[[92.7336,323.4225],[156.4193,131.4141]],"vertex":[132.03,258.78]},{"angle_degrees":74.316202,"arc_sweep_degrees":74.316202,"ray_endpoints":[[437.0422,334.7469],[296.1543,374.0827]],"vertex":[356.97,258.78]}],"canvas_size":[489,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0330","image_path":"images/angle_estimation_0330.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0330_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0330_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_0330_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0330_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0330_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":330}
-{"angle_1_degrees":17.198595,"angle_2_degrees":82.686725,"angles":[{"angle_degrees":17.198595,"arc_sweep_degrees":17.198595,"ray_endpoints":[[204.2196,341.0031],[194.7839,389.0122]],"vertex":[133.92,267.9]},{"angle_degrees":82.686725,"arc_sweep_degrees":82.686725,"ray_endpoints":[[460.5897,292.9566],[346.2096,397.9484]],"vertex":[362.08,267.9]}],"canvas_size":[496,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0331","image_path":"images/angle_estimation_0331.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0331_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0331_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0331_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0331_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0331_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":331}
-{"angle_1_degrees":89.650602,"angle_2_degrees":100.283689,"angles":[{"angle_degrees":89.650602,"arc_sweep_degrees":89.650602,"ray_endpoints":[[67.2281,219.5689],[216.2272,179.2687]],"vertex":[125.55,275.31]},{"angle_degrees":100.283689,"arc_sweep_degrees":100.283689,"ray_endpoints":[[254.0353,229.9906],[411.3828,184.0088]],"vertex":[339.45,275.31]}],"canvas_size":[465,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0332","image_path":"images/angle_estimation_0332.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0332_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0332_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0332_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0332_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0332_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":332}
-{"angle_1_degrees":66.501583,"angle_2_degrees":167.289894,"angles":[{"angle_degrees":66.501583,"arc_sweep_degrees":66.501583,"ray_endpoints":[[129.8873,347.3158],[14.259,317.9022]],"vertex":[130.95,269.04]},{"angle_degrees":167.289894,"arc_sweep_degrees":167.289894,"ray_endpoints":[[386.289,160.3478],[346.1936,386.9912]],"vertex":[354.05,269.04]}],"canvas_size":[485,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0333","image_path":"images/angle_estimation_0333.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0333_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0333_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_0333_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0333_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0333_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":333}
-{"angle_1_degrees":56.2925,"angle_2_degrees":43.573056,"angles":[{"angle_degrees":56.2925,"arc_sweep_degrees":56.2925,"ray_endpoints":[[72.2139,201.7896],[170.0028,159.1259]],"vertex":[125.55,276.45]},{"angle_degrees":43.573056,"arc_sweep_degrees":43.573056,"ray_endpoints":[[312.8372,197.4996],[390.1828,167.3799]],"vertex":[339.45,276.45]}],"canvas_size":[465,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0334","image_path":"images/angle_estimation_0334.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0334_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0334_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0334_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0334_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0334_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":334}
-{"angle_1_degrees":117.990347,"angle_2_degrees":62.742639,"angles":[{"angle_degrees":117.990347,"arc_sweep_degrees":117.990347,"ray_endpoints":[[79.3349,357.8872],[55.1981,169.3684]],"vertex":[123.93,256.5]},{"angle_degrees":62.742639,"arc_sweep_degrees":62.742639,"ray_endpoints":[[245.2461,261.6724],[267.5559,142.126]],"vertex":[335.07,256.5]}],"canvas_size":[459,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0335","image_path":"images/angle_estimation_0335.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0335_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0335_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0335_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0335_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0335_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":335}
-{"canvas_size":[450,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0336","image_path":"images/angle_estimation_0336.png","interior_angles_degrees":[90.912823,28.395891,60.691286],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0336_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0336_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0336_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0336_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0336_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":336,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[57.9286,356.4029],[395.0,356.4029],[55.0,172.5971]]}
-{"canvas_size":[462,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0337","image_path":"images/angle_estimation_0337.png","interior_angles_degrees":[89.692555,24.429625,65.87782],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0337_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0337_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0337_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0337_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0337_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":337,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,335.2525],[407.0,335.2525],[55.8559,175.7475]]}
-{"canvas_size":[457,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0338","image_path":"images/angle_estimation_0338.png","interior_angles_degrees":[89.991406,49.923725,40.08487],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0338_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0338_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0338_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0338_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0338_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":338,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[70.2941,441.0],[386.7059,441.0],[70.3505,65.0]]}
-{"canvas_size":[459,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0339","image_path":"images/angle_estimation_0339.png","interior_angles_degrees":[88.976938,49.592752,41.43031],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0339_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0339_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0339_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0339_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0339_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":339,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[60.0172,455.0],[398.9828,455.0],[66.9817,65.0]]}
-{"canvas_size":[475,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0340","image_path":"images/angle_estimation_0340.png","interior_angles_degrees":[90.061912,52.621503,37.316585],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0340_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0340_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0340_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0340_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0340_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":340,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[90.4722,451.0],[384.9449,451.0],[90.0551,65.0]]}
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-{"angle_degrees":310.926443,"arc_sweep_degrees":310.926443,"canvas_size":[470,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0348","image_path":"images/angle_estimation_0348.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0348_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_0348_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0348_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"131","question_id":"angle_estimation_0348_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0348_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[146.6489,364.3116],[254.3304,392.4138]],"scene_type":"single","seed":348,"vertex":[235.0,261.5]}
-{"angle_1_degrees":78.503005,"angle_2_degrees":129.238189,"angles":[{"angle_degrees":78.503005,"arc_sweep_degrees":78.503005,"ray_endpoints":[[31.9018,261.1479],[120.6081,144.9825]],"vertex":[128.52,274.74]},{"angle_degrees":129.238189,"arc_sweep_degrees":129.238189,"ray_endpoints":[[330.6928,365.8524],[279.3296,194.4432]],"vertex":[347.48,274.74]}],"canvas_size":[476,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0349","image_path":"images/angle_estimation_0349.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0349_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0349_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0349_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0349_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0349_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":349}
-{"angle_1_degrees":69.09549,"angle_2_degrees":12.062139,"angles":[{"angle_degrees":69.09549,"arc_sweep_degrees":69.09549,"ray_endpoints":[[36.2023,254.0518],[91.7276,132.6885]],"vertex":[127.71,262.77]},{"angle_degrees":12.062139,"arc_sweep_degrees":12.062139,"ray_endpoints":[[427.7071,317.3593],[432.2782,351.5399]],"vertex":[345.29,262.77]}],"canvas_size":[473,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0350","image_path":"images/angle_estimation_0350.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0350_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0350_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0350_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0350_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0350_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":350}
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-{"angle_1_degrees":128.725948,"angle_2_degrees":116.049369,"angles":[{"angle_degrees":128.725948,"arc_sweep_degrees":128.725948,"ray_endpoints":[[208.784,237.633],[77.159,380.4498]],"vertex":[126.36,261.63]},{"angle_degrees":116.049369,"arc_sweep_degrees":116.049369,"ray_endpoints":[[419.6086,184.6243],[385.5973,392.2869]],"vertex":[341.64,261.63]}],"canvas_size":[468,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0352","image_path":"images/angle_estimation_0352.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0352_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0352_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0352_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0352_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0352_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":352}
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-{"angle_1_degrees":45.781671,"angle_2_degrees":121.326347,"angles":[{"angle_degrees":45.781671,"arc_sweep_degrees":45.781671,"ray_endpoints":[[130.5906,362.8455],[34.3468,362.0333]],"vertex":[125.01,263.34]},{"angle_degrees":121.326347,"arc_sweep_degrees":121.326347,"ray_endpoints":[[395.737,183.1815],[386.2921,377.6632]],"vertex":[337.99,263.34]}],"canvas_size":[463,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0354","image_path":"images/angle_estimation_0354.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0354_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0354_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0354_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0354_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0354_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":354}
-{"angle_1_degrees":18.127802,"angle_2_degrees":99.185325,"angles":[{"angle_degrees":18.127802,"arc_sweep_degrees":18.127802,"ray_endpoints":[[49.7353,321.6785],[22.4745,300.1154]],"vertex":[124.2,260.49]},{"angle_degrees":99.185325,"arc_sweep_degrees":99.185325,"ray_endpoints":[[405.5709,184.0037],[415.7847,361.2481]],"vertex":[335.8,260.49]}],"canvas_size":[460,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0355","image_path":"images/angle_estimation_0355.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0355_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0355_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0355_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0355_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0355_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":355}
-{"canvas_size":[491,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0356","image_path":"images/angle_estimation_0356.png","interior_angles_degrees":[108.684737,31.452867,39.862396],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0356_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0356_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0356_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0356_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0356_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":356,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[133.8126,357.5231],[436.0,357.5231],[55.0,124.4769]]}
-{"canvas_size":[461,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0357","image_path":"images/angle_estimation_0357.png","interior_angles_degrees":[100.628404,37.12707,42.244526],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0357_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0357_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0357_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0357_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0357_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":357,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[104.8645,384.36],[406.0,384.36],[55.0,118.64]]}
-{"canvas_size":[498,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0358","image_path":"images/angle_estimation_0358.png","interior_angles_degrees":[129.196268,28.814694,21.989038],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0358_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0358_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0358_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0358_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0358_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":358,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[229.0497,354.2172],[443.0,354.2172],[55.0,140.7828]]}
-{"canvas_size":[455,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0359","image_path":"images/angle_estimation_0359.png","interior_angles_degrees":[118.589002,29.465819,31.94518],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0359_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0359_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0359_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0359_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0359_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":359,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[161.2253,353.46],[400.0,353.46],[55.0,158.54]]}
-{"canvas_size":[464,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0360","image_path":"images/angle_estimation_0360.png","interior_angles_degrees":[125.779134,31.074212,23.146654],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0360_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0360_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0360_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0360_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0360_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":360,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[208.7398,356.1646],[409.0,356.1646],[55.0,142.8354]]}
-{"angle_degrees":145.543972,"arc_sweep_degrees":145.543972,"canvas_size":[489,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0361","image_path":"images/angle_estimation_0361.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0361_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_0361_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0361_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"34","question_id":"angle_estimation_0361_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0361_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[114.5501,309.4824],[293.9387,147.053]],"scene_type":"single","seed":361,"vertex":[244.5,241.0]}
-{"angle_degrees":187.119152,"arc_sweep_degrees":187.119152,"canvas_size":[499,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0362","image_path":"images/angle_estimation_0362.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0362_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_0362_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0362_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"7","question_id":"angle_estimation_0362_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0362_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[78.7273,246.3327],[407.7603,280.0474]],"scene_type":"single","seed":362,"vertex":[249.5,253.5]}
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-{"angle_degrees":27.462348,"arc_sweep_degrees":27.462348,"canvas_size":[480,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0368","image_path":"images/angle_estimation_0368.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0368_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_0368_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0368_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"153","question_id":"angle_estimation_0368_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0368_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[106.5567,275.7985],[97.7263,207.0295]],"scene_type":"single","seed":368,"vertex":[240.0,255.5]}
-{"angle_1_degrees":15.093774,"angle_2_degrees":79.054843,"angles":[{"angle_degrees":15.093774,"arc_sweep_degrees":15.093774,"ray_endpoints":[[45.5625,234.163],[23.4719,186.4594]],"vertex":[134.73,269.61]},{"angle_degrees":79.054843,"arc_sweep_degrees":79.054843,"ray_endpoints":[[420.4172,361.5226],[276.4169,349.7323]],"vertex":[364.27,269.61]}],"canvas_size":[499,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0369","image_path":"images/angle_estimation_0369.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0369_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0369_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0369_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0369_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0369_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":369}
-{"angle_1_degrees":161.24825,"angle_2_degrees":11.69295,"angles":[{"angle_degrees":161.24825,"arc_sweep_degrees":161.24825,"ray_endpoints":[[91.2243,388.9694],[117.8525,147.4816]],"vertex":[123.39,279.3]},{"angle_degrees":11.69295,"arc_sweep_degrees":11.69295,"ray_endpoints":[[320.2672,183.2746],[341.388,161.6473]],"vertex":[333.61,279.3]}],"canvas_size":[457,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0370","image_path":"images/angle_estimation_0370.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0370_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0370_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"150","question_id":"angle_estimation_0370_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0370_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0370_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":370}
-{"angle_1_degrees":60.725847,"angle_2_degrees":169.085773,"angles":[{"angle_degrees":60.725847,"arc_sweep_degrees":60.725847,"ray_endpoints":[[45.1521,208.3237],[147.639,173.2715]],"vertex":[126.63,278.16]},{"angle_degrees":169.085773,"arc_sweep_degrees":169.085773,"ray_endpoints":[[338.8929,180.6381],[372.6683,409.8554]],"vertex":[342.37,278.16]}],"canvas_size":[469,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0371","image_path":"images/angle_estimation_0371.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0371_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0371_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0371_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0371_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0371_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":371}
-{"angle_1_degrees":31.853552,"angle_2_degrees":58.468585,"angles":[{"angle_degrees":31.853552,"arc_sweep_degrees":31.853552,"ray_endpoints":[[183.6981,367.5733],[130.0555,395.4047]],"vertex":[123.39,282.15]},{"angle_degrees":58.468585,"arc_sweep_degrees":58.468585,"ray_endpoints":[[252.3144,243.6592],[318.832,146.0143]],"vertex":[333.61,282.15]}],"canvas_size":[457,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0372","image_path":"images/angle_estimation_0372.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0372_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0372_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0372_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0372_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0372_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":372}
-{"angle_1_degrees":108.003388,"angle_2_degrees":62.385395,"angles":[{"angle_degrees":108.003388,"arc_sweep_degrees":108.003388,"ray_endpoints":[[212.3691,249.9519],[95.4142,393.1468]],"vertex":[122.04,260.49]},{"angle_degrees":62.385395,"arc_sweep_degrees":62.385395,"ray_endpoints":[[413.9836,301.6417],[333.7776,404.2952]],"vertex":[329.96,260.49]}],"canvas_size":[452,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0373","image_path":"images/angle_estimation_0373.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0373_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0373_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0373_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0373_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0373_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":373}
-{"angle_1_degrees":124.924845,"angle_2_degrees":134.896546,"angles":[{"angle_degrees":124.924845,"arc_sweep_degrees":124.924845,"ray_endpoints":[[47.0386,257.2832],[213.3685,151.4194]],"vertex":[127.17,261.63]},{"angle_degrees":134.896546,"arc_sweep_degrees":134.896546,"ray_endpoints":[[332.3112,177.8394],[443.1652,336.6724]],"vertex":[343.83,261.63]}],"canvas_size":[471,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0374","image_path":"images/angle_estimation_0374.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0374_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0374_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0374_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0374_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0374_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":374}
-{"angle_1_degrees":74.067417,"angle_2_degrees":23.539134,"angles":[{"angle_degrees":74.067417,"arc_sweep_degrees":74.067417,"ray_endpoints":[[198.1649,327.997],[80.0223,377.4576]],"vertex":[125.28,269.61]},{"angle_degrees":23.539134,"arc_sweep_degrees":23.539134,"ray_endpoints":[[321.1156,176.5957],[363.9868,158.5932]],"vertex":[338.72,269.61]}],"canvas_size":[464,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0375","image_path":"images/angle_estimation_0375.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0375_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0375_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0375_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0375_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0375_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":375}
-{"canvas_size":[493,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0376","image_path":"images/angle_estimation_0376.png","interior_angles_degrees":[56.048067,39.149376,84.802556],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0376_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0376_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0376_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0376_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0376_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":376,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,363.7034],[438.0,363.7034],[190.6049,162.2966]]}
-{"canvas_size":[465,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0377","image_path":"images/angle_estimation_0377.png","interior_angles_degrees":[73.829633,41.522017,64.648351],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0377_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0377_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0377_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0377_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0377_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":377,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,381.0541],[410.0,381.0541],[127.5229,130.9459]]}
-{"canvas_size":[451,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0378","image_path":"images/angle_estimation_0378.png","interior_angles_degrees":[65.131985,33.434061,81.433953],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0378_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0378_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0378_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0378_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0378_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":378,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,335.1927],[396.0,335.1927],[134.9017,162.8073]]}
-{"canvas_size":[451,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0379","image_path":"images/angle_estimation_0379.png","interior_angles_degrees":[67.509326,53.457148,59.033526],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0379_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0379_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0379_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0379_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0379_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":379,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,393.6009],[396.0,393.6009],[177.2203,98.3991]]}
-{"canvas_size":[458,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0380","image_path":"images/angle_estimation_0380.png","interior_angles_degrees":[55.429953,57.434017,67.13603],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0380_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0380_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0380_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0380_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0380_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":380,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,381.5465],[403.0,381.5465],[235.6037,119.4535]]}
-{"angle_degrees":341.000295,"arc_sweep_degrees":341.000295,"canvas_size":[480,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0381","image_path":"images/angle_estimation_0381.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0381_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_0381_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0381_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"161","question_id":"angle_estimation_0381_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0381_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[213.4265,375.5581],[258.9361,409.3532]],"scene_type":"single","seed":381,"vertex":[240.0,252.0]}
-{"angle_degrees":56.923629,"arc_sweep_degrees":56.923629,"canvas_size":[453,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0382","image_path":"images/angle_estimation_0382.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0382_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_0382_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0382_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"123","question_id":"angle_estimation_0382_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0382_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[156.2995,361.8271],[75.7911,250.4605]],"scene_type":"single","seed":382,"vertex":[226.5,245.0]}
-{"angle_degrees":147.207159,"arc_sweep_degrees":147.207159,"canvas_size":[483,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0383","image_path":"images/angle_estimation_0383.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0383_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_0383_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0383_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"33","question_id":"angle_estimation_0383_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0383_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[160.3053,143.6365],[345.821,293.0047]],"scene_type":"single","seed":383,"vertex":[241.5,253.5]}
-{"angle_degrees":26.305963,"arc_sweep_degrees":26.305963,"canvas_size":[491,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0384","image_path":"images/angle_estimation_0384.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0384_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_0384_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0384_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"154","question_id":"angle_estimation_0384_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0384_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[395.2661,272.5794],[368.8403,336.1788]],"scene_type":"single","seed":384,"vertex":[245.5,249.0]}
-{"angle_degrees":90.000002,"arc_sweep_degrees":90.000002,"canvas_size":[454,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0385","image_path":"images/angle_estimation_0385.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"right","question_id":"angle_estimation_0385_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_0385_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"approximately equal to","question_id":"angle_estimation_0385_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"90","question_id":"angle_estimation_0385_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0385_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[116.4771,355.4383],[154.7888,174.9682]],"scene_type":"single","seed":385,"vertex":[227.0,252.5]}
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-{"angle_degrees":23.596095,"arc_sweep_degrees":23.596095,"canvas_size":[478,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0387","image_path":"images/angle_estimation_0387.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0387_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_0387_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0387_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"156","question_id":"angle_estimation_0387_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0387_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[297.7649,396.9316],[231.9707,396.0029]],"scene_type":"single","seed":387,"vertex":[239.0,243.5]}
-{"angle_degrees":133.594122,"arc_sweep_degrees":133.594122,"canvas_size":[473,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0388","image_path":"images/angle_estimation_0388.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0388_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_0388_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0388_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"46","question_id":"angle_estimation_0388_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0388_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[380.5563,330.3049],[125.5627,281.2087]],"scene_type":"single","seed":388,"vertex":[236.5,248.0]}
-{"angle_1_degrees":17.470921,"angle_2_degrees":155.07389,"angles":[{"angle_degrees":17.470921,"arc_sweep_degrees":17.470921,"ray_endpoints":[[106.3664,369.7483],[62.5708,384.3251]],"vertex":[132.84,279.3]},{"angle_degrees":155.07389,"arc_sweep_degrees":155.07389,"ray_endpoints":[[287.0201,230.7331],[463.4113,295.8558]],"vertex":[359.16,279.3]}],"canvas_size":[492,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0389","image_path":"images/angle_estimation_0389.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0389_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0389_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_0389_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0389_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0389_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":389}
-{"angle_1_degrees":24.184456,"angle_2_degrees":91.478078,"angles":[{"angle_degrees":24.184456,"arc_sweep_degrees":24.184456,"ray_endpoints":[[137.2785,163.4563],[196.5585,150.5805]],"vertex":[131.22,277.59]},{"angle_degrees":91.478078,"arc_sweep_degrees":91.478078,"ray_endpoints":[[450.4599,307.8364],[312.5125,400.1984]],"vertex":[354.78,277.59]}],"canvas_size":[486,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0390","image_path":"images/angle_estimation_0390.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0390_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0390_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0390_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0390_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0390_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":390}
-{"angle_1_degrees":24.78722,"angle_2_degrees":59.223352,"angles":[{"angle_degrees":24.78722,"arc_sweep_degrees":24.78722,"ray_endpoints":[[96.4964,183.8571],[133.2669,148.6494]],"vertex":[129.87,262.2]},{"angle_degrees":59.223352,"arc_sweep_degrees":59.223352,"ray_endpoints":[[450.0389,245.5135],[444.7468,372.3839]],"vertex":[351.13,262.2]}],"canvas_size":[481,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0391","image_path":"images/angle_estimation_0391.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0391_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0391_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0391_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0391_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0391_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":391}
-{"angle_1_degrees":16.194375,"angle_2_degrees":154.027715,"angles":[{"angle_degrees":16.194375,"arc_sweep_degrees":16.194375,"ray_endpoints":[[83.0635,336.6183],[43.6506,337.7314]],"vertex":[132.03,273.03]},{"angle_degrees":154.027715,"arc_sweep_degrees":154.027715,"ray_endpoints":[[343.7158,176.2301],[430.8615,383.5373]],"vertex":[356.97,273.03]}],"canvas_size":[489,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0392","image_path":"images/angle_estimation_0392.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0392_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0392_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_0392_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0392_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0392_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":392}
-{"angle_1_degrees":36.992841,"angle_2_degrees":10.618843,"angles":[{"angle_degrees":36.992841,"arc_sweep_degrees":36.992841,"ray_endpoints":[[196.2579,347.4935],[135.7619,390.9784]],"vertex":[127.71,267.9]},{"angle_degrees":10.618843,"arc_sweep_degrees":10.618843,"ray_endpoints":[[422.477,300.8604],[460.4758,344.8423]],"vertex":[345.29,267.9]}],"canvas_size":[473,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0393","image_path":"images/angle_estimation_0393.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0393_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0393_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0393_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0393_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0393_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":393}
-{"angle_1_degrees":22.23999,"angle_2_degrees":68.014998,"angles":[{"angle_degrees":22.23999,"arc_sweep_degrees":22.23999,"ray_endpoints":[[52.109,228.0991],[37.9196,164.425]],"vertex":[125.55,265.05]},{"angle_degrees":68.014998,"arc_sweep_degrees":68.014998,"ray_endpoints":[[256.0898,201.8371],[371.7352,146.1257]],"vertex":[339.45,265.05]}],"canvas_size":[465,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0394","image_path":"images/angle_estimation_0394.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0394_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0394_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0394_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0394_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0394_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":394}
-{"angle_1_degrees":45.282422,"angle_2_degrees":145.439089,"angles":[{"angle_degrees":45.282422,"arc_sweep_degrees":45.282422,"ray_endpoints":[[107.4757,180.281],[200.164,154.1244]],"vertex":[127.71,268.47]},{"angle_degrees":145.439089,"arc_sweep_degrees":145.439089,"ray_endpoints":[[413.7539,184.9771],[334.2675,399.9887]],"vertex":[345.29,268.47]}],"canvas_size":[473,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0395","image_path":"images/angle_estimation_0395.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0395_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0395_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_0395_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0395_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0395_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":395}
-{"canvas_size":[453,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0396","image_path":"images/angle_estimation_0396.png","interior_angles_degrees":[90.123662,29.655597,60.220741],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0396_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0396_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0396_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0396_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0396_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":396,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.4215,346.1458],[398.0,346.1458],[55.0,150.8542]]}
-{"canvas_size":[457,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0397","image_path":"images/angle_estimation_0397.png","interior_angles_degrees":[90.618222,29.016513,60.365264],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0397_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0397_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0397_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0397_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0397_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":397,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[57.0769,338.738],[402.0,338.738],[55.0,146.262]]}
-{"canvas_size":[475,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0398","image_path":"images/angle_estimation_0398.png","interior_angles_degrees":[89.886255,43.557039,46.556706],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0398_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0398_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0398_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0398_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0398_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":398,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,426.7047],[420.0,426.7047],[55.6877,80.2953]]}
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-{"angle_degrees":312.831161,"arc_sweep_degrees":312.831161,"canvas_size":[455,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0404","image_path":"images/angle_estimation_0404.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0404_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_0404_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0404_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"133","question_id":"angle_estimation_0404_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0404_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[352.1757,334.4927],[369.7242,216.9624]],"scene_type":"single","seed":404,"vertex":[227.5,249.5]}
-{"angle_degrees":179.999978,"arc_sweep_degrees":179.999978,"canvas_size":[452,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0405","image_path":"images/angle_estimation_0405.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0405_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_0405_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0405_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_0405_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0405_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[312.9861,106.9111],[142.3299,372.92]],"scene_type":"single","seed":405,"vertex":[226.0,242.5]}
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-{"angle_degrees":100.101923,"arc_sweep_degrees":100.101923,"canvas_size":[495,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0408","image_path":"images/angle_estimation_0408.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0408_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_0408_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0408_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"80","question_id":"angle_estimation_0408_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0408_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[374.0465,336.6979],[149.9447,351.2904]],"scene_type":"single","seed":408,"vertex":[247.5,251.0]}
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-{"angle_1_degrees":24.505357,"angle_2_degrees":58.034361,"angles":[{"angle_degrees":24.505357,"arc_sweep_degrees":24.505357,"ray_endpoints":[[206.8743,337.3987],[187.1148,384.9909]],"vertex":[123.93,281.01]},{"angle_degrees":58.034361,"arc_sweep_degrees":58.034361,"ray_endpoints":[[404.9865,369.9544],[295.4861,390.5711]],"vertex":[335.07,281.01]}],"canvas_size":[459,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0410","image_path":"images/angle_estimation_0410.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0410_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0410_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0410_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0410_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0410_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":410}
-{"angle_1_degrees":62.311767,"angle_2_degrees":106.621123,"angles":[{"angle_degrees":62.311767,"arc_sweep_degrees":62.311767,"ray_endpoints":[[146.2466,338.716],[20.8385,351.7529]],"vertex":[125.01,257.07]},{"angle_degrees":106.621123,"arc_sweep_degrees":106.621123,"ray_endpoints":[[395.7892,208.5885],[394.3201,387.4376]],"vertex":[337.99,257.07]}],"canvas_size":[463,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0411","image_path":"images/angle_estimation_0411.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0411_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0411_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0411_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0411_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0411_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":411}
-{"angle_1_degrees":10.17185,"angle_2_degrees":105.986819,"angles":[{"angle_degrees":10.17185,"arc_sweep_degrees":10.17185,"ray_endpoints":[[123.6105,364.169],[96.7475,420.376]],"vertex":[126.36,282.15]},{"angle_degrees":105.986819,"arc_sweep_degrees":105.986819,"ray_endpoints":[[257.392,270.4462],[388.7363,175.85]],"vertex":[341.64,282.15]}],"canvas_size":[468,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0412","image_path":"images/angle_estimation_0412.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0412_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0412_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_0412_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0412_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0412_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":412}
-{"angle_1_degrees":32.594886,"angle_2_degrees":66.226577,"angles":[{"angle_degrees":32.594886,"arc_sweep_degrees":32.594886,"ray_endpoints":[[171.75,369.2165],[110.5367,414.0102]],"vertex":[134.46,279.3]},{"angle_degrees":66.226577,"arc_sweep_degrees":66.226577,"ray_endpoints":[[282.878,243.6243],[363.7152,162.2067]],"vertex":[363.54,279.3]}],"canvas_size":[498,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0413","image_path":"images/angle_estimation_0413.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0413_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0413_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0413_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0413_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0413_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":413}
-{"angle_1_degrees":11.204348,"angle_2_degrees":157.627199,"angles":[{"angle_degrees":11.204348,"arc_sweep_degrees":11.204348,"ray_endpoints":[[182.226,323.4247],[204.412,384.2006]],"vertex":[128.79,269.04]},{"angle_degrees":157.627199,"arc_sweep_degrees":157.627199,"ray_endpoints":[[396.133,181.1649],[332.6965,411.0776]],"vertex":[348.21,269.04]}],"canvas_size":[477,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0414","image_path":"images/angle_estimation_0414.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0414_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0414_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"150","question_id":"angle_estimation_0414_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0414_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0414_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":414}
-{"angle_1_degrees":44.708397,"angle_2_degrees":99.576648,"angles":[{"angle_degrees":44.708397,"arc_sweep_degrees":44.708397,"ray_endpoints":[[33.7325,237.7277],[83.6376,173.8268]],"vertex":[134.73,268.47]},{"angle_degrees":99.576648,"arc_sweep_degrees":99.576648,"ray_endpoints":[[469.561,226.12],[388.2929,378.3333]],"vertex":[364.27,268.47]}],"canvas_size":[499,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0415","image_path":"images/angle_estimation_0415.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0415_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0415_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0415_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0415_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0415_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":415}
-{"canvas_size":[466,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0416","image_path":"images/angle_estimation_0416.png","interior_angles_degrees":[123.27258,30.267547,26.459873],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0416_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0416_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0416_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0416_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0416_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":416,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[191.33,343.8796],[411.0,343.8796],[55.0,136.1204]]}
-{"canvas_size":[488,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0417","image_path":"images/angle_estimation_0417.png","interior_angles_degrees":[129.263643,24.051915,26.684443],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0417_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0417_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0417_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0417_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0417_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":417,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[192.9064,347.3535],[433.0,347.3535],[55.0,178.6465]]}
-{"canvas_size":[470,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0418","image_path":"images/angle_estimation_0418.png","interior_angles_degrees":[103.948047,42.123582,33.928372],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0418_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0418_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0418_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0418_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0418_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":418,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[135.8563,413.7771],[415.0,413.7771],[55.0,88.2229]]}
-{"canvas_size":[489,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0419","image_path":"images/angle_estimation_0419.png","interior_angles_degrees":[103.449254,28.157852,48.392894],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0419_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0419_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0419_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0419_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0419_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":419,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[103.5122,362.9296],[434.0,362.9296],[55.0,160.0704]]}
-{"canvas_size":[451,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0420","image_path":"images/angle_estimation_0420.png","interior_angles_degrees":[109.449487,22.381174,48.169338],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0420_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0420_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0420_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0420_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0420_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":420,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[104.5857,331.7095],[396.0,331.7095],[55.0,191.2905]]}
-{"angle_degrees":217.843612,"arc_sweep_degrees":217.843612,"canvas_size":[491,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0421","image_path":"images/angle_estimation_0421.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0421_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_0421_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0421_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"38","question_id":"angle_estimation_0421_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0421_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[77.652,268.6818],[357.5223,331.1886]],"scene_type":"single","seed":421,"vertex":[245.5,256.5]}
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-{"angle_degrees":45.000022,"arc_sweep_degrees":45.000022,"canvas_size":[476,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0425","image_path":"images/angle_estimation_0425.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0425_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_0425_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0425_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"135","question_id":"angle_estimation_0425_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0425_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[103.3549,193.4588],[175.5028,112.0519]],"scene_type":"single","seed":425,"vertex":[238.0,239.5]}
-{"angle_degrees":258.382341,"arc_sweep_degrees":258.382341,"canvas_size":[460,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0426","image_path":"images/angle_estimation_0426.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0426_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_0426_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0426_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"78","question_id":"angle_estimation_0426_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0426_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[367.8874,211.2798],[178.0491,142.5495]],"scene_type":"single","seed":426,"vertex":[230.0,247.5]}
-{"angle_degrees":287.27578,"arc_sweep_degrees":287.27578,"canvas_size":[460,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0427","image_path":"images/angle_estimation_0427.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0427_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_0427_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0427_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"107","question_id":"angle_estimation_0427_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0427_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[185.7257,415.5506],[320.5265,314.9101]],"scene_type":"single","seed":427,"vertex":[230.0,256.5]}
-{"angle_degrees":190.523518,"arc_sweep_degrees":190.523518,"canvas_size":[466,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0428","image_path":"images/angle_estimation_0428.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0428_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0428_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0428_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"11","question_id":"angle_estimation_0428_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0428_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[346.1364,174.5895],[99.6209,284.266]],"scene_type":"single","seed":428,"vertex":[233.0,238.5]}
-{"angle_1_degrees":13.708745,"angle_2_degrees":74.740394,"angles":[{"angle_degrees":13.708745,"arc_sweep_degrees":13.708745,"ray_endpoints":[[62.2219,222.3879],[26.479,164.2593]],"vertex":[131.76,260.49]},{"angle_degrees":74.740394,"arc_sweep_degrees":74.740394,"ray_endpoints":[[433.3579,288.9185],[344.0307,400.7155]],"vertex":[356.24,260.49]}],"canvas_size":[488,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0429","image_path":"images/angle_estimation_0429.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0429_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0429_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0429_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0429_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0429_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":429}
-{"angle_1_degrees":43.759043,"angle_2_degrees":127.280818,"angles":[{"angle_degrees":43.759043,"arc_sweep_degrees":43.759043,"ray_endpoints":[[28.1525,324.9832],[17.6559,242.4618]],"vertex":[126.09,280.44]},{"angle_degrees":127.280818,"arc_sweep_degrees":127.280818,"ray_endpoints":[[413.459,239.6271],[325.5111,391.1214]],"vertex":[340.91,280.44]}],"canvas_size":[467,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0430","image_path":"images/angle_estimation_0430.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0430_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0430_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0430_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0430_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0430_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":430}
-{"angle_1_degrees":13.823521,"angle_2_degrees":124.172868,"angles":[{"angle_degrees":13.823521,"arc_sweep_degrees":13.823521,"ray_endpoints":[[73.2925,229.4935],[60.0277,170.3914]],"vertex":[126.36,284.43]},{"angle_degrees":124.172868,"arc_sweep_degrees":124.172868,"ray_endpoints":[[266.746,321.8835],[359.9146,147.5382]],"vertex":[341.64,284.43]}],"canvas_size":[468,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0431","image_path":"images/angle_estimation_0431.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0431_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0431_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0431_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0431_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0431_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":431}
-{"angle_1_degrees":62.537361,"angle_2_degrees":35.956987,"angles":[{"angle_degrees":62.537361,"arc_sweep_degrees":62.537361,"ray_endpoints":[[37.5108,216.7426],[146.4273,147.2709]],"vertex":[131.49,279.87]},{"angle_degrees":35.956987,"arc_sweep_degrees":35.956987,"ray_endpoints":[[422.6097,366.1403],[359.3941,395.8408]],"vertex":[355.51,279.87]}],"canvas_size":[487,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0432","image_path":"images/angle_estimation_0432.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0432_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0432_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0432_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0432_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0432_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":432}
-{"angle_1_degrees":160.808967,"angle_2_degrees":31.721947,"angles":[{"angle_degrees":160.808967,"arc_sweep_degrees":160.808967,"ray_endpoints":[[193.6395,250.8788],[28.7819,369.9049]],"vertex":[124.74,281.01]},{"angle_degrees":31.721947,"arc_sweep_degrees":31.721947,"ray_endpoints":[[269.7256,210.8354],[314.2711,174.4994]],"vertex":[337.26,281.01]}],"canvas_size":[462,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0433","image_path":"images/angle_estimation_0433.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0433_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0433_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_0433_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0433_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0433_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":433}
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-{"angle_1_degrees":24.653858,"angle_2_degrees":55.731798,"angles":[{"angle_degrees":24.653858,"arc_sweep_degrees":24.653858,"ray_endpoints":[[151.4917,349.0287],[114.0939,404.5639]],"vertex":[124.74,275.31]},{"angle_degrees":55.731798,"arc_sweep_degrees":55.731798,"ray_endpoints":[[326.4907,175.5193],[436.7431,190.5604]],"vertex":[337.26,275.31]}],"canvas_size":[462,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0435","image_path":"images/angle_estimation_0435.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0435_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0435_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0435_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0435_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0435_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":435}
-{"canvas_size":[474,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0436","image_path":"images/angle_estimation_0436.png","interior_angles_degrees":[49.56583,59.633206,70.800965],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0436_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0436_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0436_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0436_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0436_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":436,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,381.5635],[419.0,381.5635],[270.6884,128.4365]]}
-{"canvas_size":[483,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0437","image_path":"images/angle_estimation_0437.png","interior_angles_degrees":[56.715731,49.290528,73.993741],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0437_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0437_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0437_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0437_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0437_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":437,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,371.9475],[428.0,371.9475],[216.4262,126.0525]]}
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-{"canvas_size":[475,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0439","image_path":"images/angle_estimation_0439.png","interior_angles_degrees":[50.998923,74.483869,54.517208],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0439_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0439_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0439_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0439_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0439_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":439,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,418.3249],[420.0,418.3249],[326.8143,82.6751]]}
-{"canvas_size":[457,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0440","image_path":"images/angle_estimation_0440.png","interior_angles_degrees":[51.93992,58.729507,69.330573],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0440_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0440_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0440_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0440_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0440_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":440,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,388.795],[402.0,388.795],[250.4229,139.205]]}
-{"angle_degrees":245.919148,"arc_sweep_degrees":245.919148,"canvas_size":[461,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0441","image_path":"images/angle_estimation_0441.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0441_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_0441_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0441_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"66","question_id":"angle_estimation_0441_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0441_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[305.8294,113.2727],[97.7438,238.2113]],"scene_type":"single","seed":441,"vertex":[230.5,249.5]}
-{"angle_degrees":161.348307,"arc_sweep_degrees":161.348307,"canvas_size":[473,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0442","image_path":"images/angle_estimation_0442.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0442_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_0442_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0442_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"19","question_id":"angle_estimation_0442_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0442_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[90.7343,284.2586],[352.1205,201.2458]],"scene_type":"single","seed":442,"vertex":[236.5,261.5]}
-{"angle_degrees":17.236474,"arc_sweep_degrees":17.236474,"canvas_size":[498,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0443","image_path":"images/angle_estimation_0443.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0443_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_0443_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0443_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"163","question_id":"angle_estimation_0443_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0443_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[211.1504,393.7109],[186.3742,344.5837]],"scene_type":"single","seed":443,"vertex":[249.0,241.0]}
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-{"angle_degrees":188.606015,"arc_sweep_degrees":188.606015,"canvas_size":[476,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0447","image_path":"images/angle_estimation_0447.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0447_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0447_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0447_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"9","question_id":"angle_estimation_0447_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0447_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[139.27,139.195],[304.8036,369.6658]],"scene_type":"single","seed":447,"vertex":[238.0,258.5]}
-{"angle_degrees":50.112345,"arc_sweep_degrees":50.112345,"canvas_size":[467,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0448","image_path":"images/angle_estimation_0448.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0448_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_0448_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0448_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"130","question_id":"angle_estimation_0448_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0448_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[112.6518,174.4146],[215.6515,140.9122]],"scene_type":"single","seed":448,"vertex":[233.5,244.5]}
-{"angle_1_degrees":87.848433,"angle_2_degrees":104.640491,"angles":[{"angle_degrees":87.848433,"arc_sweep_degrees":87.848433,"ray_endpoints":[[61.663,310.9456],[44.8901,164.8198]],"vertex":[124.74,263.91]},{"angle_degrees":104.640491,"arc_sweep_degrees":104.640491,"ray_endpoints":[[420.935,280.7741],[277.3487,386.554]],"vertex":[337.26,263.91]}],"canvas_size":[462,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0449","image_path":"images/angle_estimation_0449.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0449_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0449_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0449_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0449_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0449_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":449}
-{"angle_1_degrees":161.479219,"angle_2_degrees":144.167735,"angles":[{"angle_degrees":161.479219,"arc_sweep_degrees":161.479219,"ray_endpoints":[[99.2145,196.9874],[206.8082,390.5062]],"vertex":[123.12,274.17]},{"angle_degrees":144.167735,"arc_sweep_degrees":144.167735,"ray_endpoints":[[293.612,349.2391],[313.7599,141.7899]],"vertex":[332.88,274.17]}],"canvas_size":[456,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0450","image_path":"images/angle_estimation_0450.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0450_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0450_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0450_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0450_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0450_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":450}
-{"angle_1_degrees":57.802323,"angle_2_degrees":37.30449,"angles":[{"angle_degrees":57.802323,"arc_sweep_degrees":57.802323,"ray_endpoints":[[144.868,385.4967],[45.2185,352.1462]],"vertex":[122.04,277.59]},{"angle_degrees":37.30449,"arc_sweep_degrees":37.30449,"ray_endpoints":[[370.7181,357.953],[306.0634,407.6452]],"vertex":[329.96,277.59]}],"canvas_size":[452,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0451","image_path":"images/angle_estimation_0451.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0451_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0451_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0451_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0451_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0451_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":451}
-{"angle_1_degrees":52.359996,"angle_2_degrees":133.901269,"angles":[{"angle_degrees":52.359996,"arc_sweep_degrees":52.359996,"ray_endpoints":[[71.0427,182.9277],[174.7596,134.7478]],"vertex":[127.17,269.61]},{"angle_degrees":133.901269,"arc_sweep_degrees":133.901269,"ray_endpoints":[[443.4775,258.8025],[259.9914,378.0402]],"vertex":[343.83,269.61]}],"canvas_size":[471,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0452","image_path":"images/angle_estimation_0452.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0452_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0452_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0452_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0452_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0452_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":452}
-{"angle_1_degrees":95.498097,"angle_2_degrees":116.54973,"angles":[{"angle_degrees":95.498097,"arc_sweep_degrees":95.498097,"ray_endpoints":[[61.0872,334.1449],[41.8793,167.5114]],"vertex":[125.55,270.75]},{"angle_degrees":116.54973,"arc_sweep_degrees":116.54973,"ray_endpoints":[[435.9321,281.8734],[272.2695,373.7013]],"vertex":[339.45,270.75]}],"canvas_size":[465,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0453","image_path":"images/angle_estimation_0453.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0453_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0453_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0453_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0453_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0453_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":453}
-{"angle_1_degrees":62.534571,"angle_2_degrees":17.349012,"angles":[{"angle_degrees":62.534571,"arc_sweep_degrees":62.534571,"ray_endpoints":[[65.0634,214.3758],[171.4562,141.9771]],"vertex":[126.63,277.59]},{"angle_degrees":17.349012,"arc_sweep_degrees":17.349012,"ray_endpoints":[[368.3916,386.2212],[332.5885,421.8807]],"vertex":[342.37,277.59]}],"canvas_size":[469,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0454","image_path":"images/angle_estimation_0454.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0454_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0454_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0454_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0454_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0454_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":454}
-{"angle_1_degrees":71.164366,"angle_2_degrees":100.239433,"angles":[{"angle_degrees":71.164366,"arc_sweep_degrees":71.164366,"ray_endpoints":[[231.6708,235.2263],[193.5227,354.5917]],"vertex":[133.92,257.07]},{"angle_degrees":100.239433,"arc_sweep_degrees":100.239433,"ray_endpoints":[[436.0887,344.4755],[263.0905,314.2587]],"vertex":[362.08,257.07]}],"canvas_size":[496,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0455","image_path":"images/angle_estimation_0455.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0455_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0455_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0455_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0455_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0455_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":455}
-{"canvas_size":[497,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0456","image_path":"images/angle_estimation_0456.png","interior_angles_degrees":[89.857457,39.590813,50.55173],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0456_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0456_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0456_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0456_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0456_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":456,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,413.6963],[442.0,413.6963],[55.7946,94.3037]]}
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-{"angle_degrees":35.282993,"arc_sweep_degrees":35.282993,"canvas_size":[487,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0462","image_path":"images/angle_estimation_0462.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0462_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_0462_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0462_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"145","question_id":"angle_estimation_0462_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0462_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[400.5568,205.2382],[366.2752,294.8663]],"scene_type":"single","seed":462,"vertex":[243.5,258.0]}
-{"angle_degrees":170.294629,"arc_sweep_degrees":170.294629,"canvas_size":[463,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0463","image_path":"images/angle_estimation_0463.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0463_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_0463_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0463_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"10","question_id":"angle_estimation_0463_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0463_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[328.4604,122.2372],[184.961,361.5962]],"scene_type":"single","seed":463,"vertex":[231.5,262.0]}
-{"angle_degrees":196.252743,"arc_sweep_degrees":196.252743,"canvas_size":[467,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0464","image_path":"images/angle_estimation_0464.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0464_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0464_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0464_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"16","question_id":"angle_estimation_0464_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0464_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[205.1658,395.2886],[286.9335,135.8757]],"scene_type":"single","seed":464,"vertex":[233.5,242.0]}
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-{"angle_1_degrees":65.373168,"angle_2_degrees":31.131913,"angles":[{"angle_degrees":65.373168,"arc_sweep_degrees":65.373168,"ray_endpoints":[[160.9077,386.6579],[29.534,375.6473]],"vertex":[122.04,282.72]},{"angle_degrees":31.131913,"arc_sweep_degrees":31.131913,"ray_endpoints":[[256.1274,221.6321],[283.677,150.2919]],"vertex":[329.96,282.72]}],"canvas_size":[452,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0470","image_path":"images/angle_estimation_0470.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0470_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0470_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0470_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0470_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0470_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":470}
-{"angle_1_degrees":36.693344,"angle_2_degrees":146.219099,"angles":[{"angle_degrees":36.693344,"arc_sweep_degrees":36.693344,"ray_endpoints":[[72.5243,329.4757],[25.8464,282.9732]],"vertex":[133.11,258.78]},{"angle_degrees":146.219099,"arc_sweep_degrees":146.219099,"ray_endpoints":[[403.6096,193.1809],[360.1029,382.2751]],"vertex":[359.89,258.78]}],"canvas_size":[493,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0471","image_path":"images/angle_estimation_0471.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0471_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0471_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0471_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0471_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0471_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":471}
-{"angle_1_degrees":168.139585,"angle_2_degrees":82.715177,"angles":[{"angle_degrees":168.139585,"arc_sweep_degrees":168.139585,"ray_endpoints":[[182.6956,180.1578],[80.4917,363.8182]],"vertex":[123.93,263.34]},{"angle_degrees":82.715177,"arc_sweep_degrees":82.715177,"ray_endpoints":[[412.1487,286.1948],[312.59,401.6626]],"vertex":[335.07,263.34]}],"canvas_size":[459,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0472","image_path":"images/angle_estimation_0472.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0472_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0472_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_0472_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0472_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0472_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":472}
-{"angle_1_degrees":18.612658,"angle_2_degrees":69.625557,"angles":[{"angle_degrees":18.612658,"arc_sweep_degrees":18.612658,"ray_endpoints":[[110.2347,346.1202],[56.0117,387.2913]],"vertex":[127.17,268.47]},{"angle_degrees":69.625557,"arc_sweep_degrees":69.625557,"ray_endpoints":[[408.285,219.4927],[452.38,337.346]],"vertex":[343.83,268.47]}],"canvas_size":[471,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0473","image_path":"images/angle_estimation_0473.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0473_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0473_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0473_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0473_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0473_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":473}
-{"angle_1_degrees":116.741108,"angle_2_degrees":76.085957,"angles":[{"angle_degrees":116.741108,"arc_sweep_degrees":116.741108,"ray_endpoints":[[209.558,214.76],[122.1415,385.9947]],"vertex":[122.58,258.21]},{"angle_degrees":76.085957,"arc_sweep_degrees":76.085957,"ray_endpoints":[[263.5508,212.4133],[374.1754,141.3539]],"vertex":[331.42,258.21]}],"canvas_size":[454,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0474","image_path":"images/angle_estimation_0474.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0474_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0474_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0474_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0474_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0474_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":474}
-{"angle_1_degrees":138.584414,"angle_2_degrees":99.938145,"angles":[{"angle_degrees":138.584414,"arc_sweep_degrees":138.584414,"ray_endpoints":[[210.8782,228.4149],[48.1952,380.591]],"vertex":[122.58,256.5]},{"angle_degrees":99.938145,"arc_sweep_degrees":99.938145,"ray_endpoints":[[246.2201,278.676],[319.6655,112.0206]],"vertex":[331.42,256.5]}],"canvas_size":[454,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0475","image_path":"images/angle_estimation_0475.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0475_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0475_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0475_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0475_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0475_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":475}
-{"canvas_size":[481,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0476","image_path":"images/angle_estimation_0476.png","interior_angles_degrees":[138.490324,19.126904,22.382772],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0476_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0476_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0476_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0476_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0476_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":476,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[200.3803,325.8327],[426.0,325.8327],[55.0,197.1673]]}
-{"canvas_size":[489,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0477","image_path":"images/angle_estimation_0477.png","interior_angles_degrees":[110.715961,22.465495,46.818544],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0477_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0477_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0477_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0477_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0477_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":477,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[114.2693,331.3598],[434.0,331.3598],[55.0,174.6402]]}
-{"canvas_size":[470,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0478","image_path":"images/angle_estimation_0478.png","interior_angles_degrees":[98.899946,39.794617,41.305436],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0478_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0478_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0478_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0478_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0478_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":478,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[101.9602,394.4417],[415.0,394.4417],[55.0,94.5583]]}
-{"canvas_size":[500,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0479","image_path":"images/angle_estimation_0479.png","interior_angles_degrees":[119.354551,28.799468,31.845981],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0479_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0479_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0479_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0479_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0479_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":479,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[175.584,360.1998],[445.0,360.1998],[55.0,145.8002]]}
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-{"angle_1_degrees":18.395554,"angle_2_degrees":67.703738,"angles":[{"angle_degrees":18.395554,"arc_sweep_degrees":18.395554,"ray_endpoints":[[129.4527,165.897],[175.1912,146.0717]],"vertex":[124.47,278.73]},{"angle_degrees":67.703738,"arc_sweep_degrees":67.703738,"ray_endpoints":[[410.1345,318.0799],[325.2338,389.3005]],"vertex":[336.53,278.73]}],"canvas_size":[461,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0489","image_path":"images/angle_estimation_0489.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0489_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0489_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0489_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0489_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0489_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":489}
-{"angle_1_degrees":137.566184,"angle_2_degrees":32.241305,"angles":[{"angle_degrees":137.566184,"arc_sweep_degrees":137.566184,"ray_endpoints":[[208.2234,243.2504],[74.3429,400.3491]],"vertex":[134.19,273.6]},{"angle_degrees":32.241305,"arc_sweep_degrees":32.241305,"ray_endpoints":[[370.4162,183.0212],[432.1647,181.7013]],"vertex":[362.81,273.6]}],"canvas_size":[497,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0490","image_path":"images/angle_estimation_0490.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0490_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0490_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0490_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0490_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0490_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":490}
-{"angle_1_degrees":85.3575,"angle_2_degrees":132.155341,"angles":[{"angle_degrees":85.3575,"arc_sweep_degrees":85.3575,"ray_endpoints":[[36.2464,233.1116],[172.8779,132.3147]],"vertex":[129.87,270.75]},{"angle_degrees":132.155341,"arc_sweep_degrees":132.155341,"ray_endpoints":[[263.334,298.6652],[409.4112,142.9641]],"vertex":[351.13,270.75]}],"canvas_size":[481,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0491","image_path":"images/angle_estimation_0491.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0491_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0491_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0491_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0491_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0491_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":491}
-{"angle_1_degrees":26.773037,"angle_2_degrees":68.740268,"angles":[{"angle_degrees":26.773037,"arc_sweep_degrees":26.773037,"ray_endpoints":[[218.4913,286.7579],[225.9458,334.8052]],"vertex":[132.03,285.0]},{"angle_degrees":68.740268,"arc_sweep_degrees":68.740268,"ray_endpoints":[[274.4028,298.005],[298.3938,184.3994]],"vertex":[356.97,285.0]}],"canvas_size":[489,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0492","image_path":"images/angle_estimation_0492.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0492_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0492_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0492_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0492_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0492_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":492}
-{"angle_1_degrees":103.728826,"angle_2_degrees":66.73132,"angles":[{"angle_degrees":103.728826,"arc_sweep_degrees":103.728826,"ray_endpoints":[[201.3396,198.7348],[198.9409,390.5563]],"vertex":[125.82,281.01]},{"angle_degrees":66.73132,"arc_sweep_degrees":66.73132,"ray_endpoints":[[358.3309,355.5542],[247.92,350.4154]],"vertex":[340.18,281.01]}],"canvas_size":[466,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0493","image_path":"images/angle_estimation_0493.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0493_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0493_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0493_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0493_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0493_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":493}
-{"angle_1_degrees":120.180467,"angle_2_degrees":111.81865,"angles":[{"angle_degrees":120.180467,"arc_sweep_degrees":120.180467,"ray_endpoints":[[115.5127,387.2015],[50.031,211.6999]],"vertex":[132.3,278.16]},{"angle_degrees":111.81865,"arc_sweep_degrees":111.81865,"ray_endpoints":[[411.796,211.1871],[416.697,383.4959]],"vertex":[357.7,278.16]}],"canvas_size":[490,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0494","image_path":"images/angle_estimation_0494.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0494_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0494_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0494_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0494_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0494_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":494}
-{"angle_1_degrees":14.928,"angle_2_degrees":87.118683,"angles":[{"angle_degrees":14.928,"arc_sweep_degrees":14.928,"ray_endpoints":[[120.116,339.8244],[88.1463,361.1797]],"vertex":[133.11,262.2]},{"angle_degrees":87.118683,"arc_sweep_degrees":87.118683,"ray_endpoints":[[465.8666,283.749],[341.413,384.1955]],"vertex":[359.89,262.2]}],"canvas_size":[493,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0495","image_path":"images/angle_estimation_0495.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0495_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0495_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0495_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0495_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0495_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":495}
-{"canvas_size":[496,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0496","image_path":"images/angle_estimation_0496.png","interior_angles_degrees":[67.271361,45.704971,67.023668],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0496_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0496_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0496_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0496_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0496_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":496,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,392.3923],[441.0,392.3923],[170.9441,115.6077]]}
-{"canvas_size":[466,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0497","image_path":"images/angle_estimation_0497.png","interior_angles_degrees":[69.49484,35.106971,75.398189],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0497_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0497_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0497_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0497_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0497_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":497,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,358.0829],[411.0,358.0829],[129.1115,159.9171]]}
-{"canvas_size":[480,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0498","image_path":"images/angle_estimation_0498.png","interior_angles_degrees":[50.177157,45.568475,84.254368],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0498_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0498_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0498_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0498_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0498_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":498,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,354.9736],[425.0,354.9736],[225.0602,151.0264]]}
-{"canvas_size":[457,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0499","image_path":"images/angle_estimation_0499.png","interior_angles_degrees":[58.49053,49.042703,72.466768],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0499_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0499_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0499_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0499_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0499_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":499,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,362.65],[402.0,362.65],[198.6325,128.35]]}
-{"canvas_size":[479,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0500","image_path":"images/angle_estimation_0500.png","interior_angles_degrees":[50.436037,62.555416,67.008548],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0500_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0500_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0500_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0500_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0500_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":500,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,393.6185],[424.0,393.6185],[281.5782,119.3815]]}
-{"angle_degrees":223.76743,"arc_sweep_degrees":223.76743,"canvas_size":[490,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0501","image_path":"images/angle_estimation_0501.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0501_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_0501_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0501_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"44","question_id":"angle_estimation_0501_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0501_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[174.1633,363.3193],[393.1042,206.0128]],"scene_type":"single","seed":501,"vertex":[245.0,246.0]}
-{"angle_degrees":67.282102,"arc_sweep_degrees":67.282102,"canvas_size":[482,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0502","image_path":"images/angle_estimation_0502.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0502_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_0502_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0502_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"113","question_id":"angle_estimation_0502_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0502_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[195.0292,113.5208],[355.8671,146.7828]],"scene_type":"single","seed":502,"vertex":[241.0,248.5]}
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-{"angle_degrees":235.637043,"arc_sweep_degrees":235.637043,"canvas_size":[484,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0508","image_path":"images/angle_estimation_0508.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0508_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_0508_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0508_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"56","question_id":"angle_estimation_0508_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0508_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[141.9864,373.4449],[352.0857,276.5765]],"scene_type":"single","seed":508,"vertex":[242.0,262.0]}
-{"angle_1_degrees":95.905461,"angle_2_degrees":79.413893,"angles":[{"angle_degrees":95.905461,"arc_sweep_degrees":95.905461,"ray_endpoints":[[178.404,216.5128],[228.9434,362.4433]],"vertex":[133.65,283.86]},{"angle_degrees":79.413893,"arc_sweep_degrees":79.413893,"ray_endpoints":[[449.3222,300.5723],[360.928,425.8037]],"vertex":[361.35,283.86]}],"canvas_size":[495,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0509","image_path":"images/angle_estimation_0509.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0509_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0509_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0509_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0509_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0509_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":509}
-{"angle_1_degrees":55.688175,"angle_2_degrees":77.133606,"angles":[{"angle_degrees":55.688175,"arc_sweep_degrees":55.688175,"ray_endpoints":[[83.2486,214.8015],[164.1874,173.0092]],"vertex":[133.11,276.45]},{"angle_degrees":77.133606,"arc_sweep_degrees":77.133606,"ray_endpoints":[[422.8253,214.5817],[478.4479,352.3393]],"vertex":[359.89,276.45]}],"canvas_size":[493,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0510","image_path":"images/angle_estimation_0510.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0510_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0510_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0510_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0510_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0510_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":510}
-{"angle_1_degrees":29.496677,"angle_2_degrees":48.963487,"angles":[{"angle_degrees":29.496677,"arc_sweep_degrees":29.496677,"ray_endpoints":[[106.5267,376.4445],[52.3279,361.6706]],"vertex":[123.12,273.03]},{"angle_degrees":48.963487,"arc_sweep_degrees":48.963487,"ray_endpoints":[[373.4563,172.0858],[437.0072,236.8954]],"vertex":[332.88,273.03]}],"canvas_size":[456,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0511","image_path":"images/angle_estimation_0511.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0511_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0511_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0511_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0511_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0511_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":511}
-{"angle_1_degrees":32.703447,"angle_2_degrees":152.335551,"angles":[{"angle_degrees":32.703447,"arc_sweep_degrees":32.703447,"ray_endpoints":[[139.9154,184.8455],[212.6942,179.6251]],"vertex":[121.77,272.46]},{"angle_degrees":152.335551,"arc_sweep_degrees":152.335551,"ray_endpoints":[[367.7276,198.019],[329.8671,387.0906]],"vertex":[329.23,272.46]}],"canvas_size":[451,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0512","image_path":"images/angle_estimation_0512.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0512_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0512_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_0512_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0512_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0512_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":512}
-{"angle_1_degrees":31.083842,"angle_2_degrees":108.849477,"angles":[{"angle_degrees":31.083842,"arc_sweep_degrees":31.083842,"ray_endpoints":[[98.371,362.7747],[31.7724,355.8144]],"vertex":[121.77,263.91]},{"angle_degrees":108.849477,"arc_sweep_degrees":108.849477,"ray_endpoints":[[299.9038,154.4613],[434.0218,270.9616]],"vertex":[329.23,263.91]}],"canvas_size":[451,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0513","image_path":"images/angle_estimation_0513.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0513_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0513_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0513_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0513_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0513_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":513}
-{"angle_1_degrees":52.299781,"angle_2_degrees":37.184998,"angles":[{"angle_degrees":52.299781,"arc_sweep_degrees":52.299781,"ray_endpoints":[[68.6692,172.999],[169.8068,133.1984]],"vertex":[127.44,260.49]},{"angle_degrees":37.184998,"arc_sweep_degrees":37.184998,"ray_endpoints":[[361.4136,371.0761],[289.1776,362.4083]],"vertex":[344.56,260.49]}],"canvas_size":[472,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0514","image_path":"images/angle_estimation_0514.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0514_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0514_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0514_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0514_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0514_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":514}
-{"angle_1_degrees":25.220781,"angle_2_degrees":159.237431,"angles":[{"angle_degrees":25.220781,"arc_sweep_degrees":25.220781,"ray_endpoints":[[149.8921,176.1915],[200.5219,178.8649]],"vertex":[124.2,266.19]},{"angle_degrees":159.237431,"arc_sweep_degrees":159.237431,"ray_endpoints":[[389.7741,360.6072],[253.3536,198.2681]],"vertex":[335.8,266.19]}],"canvas_size":[460,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0515","image_path":"images/angle_estimation_0515.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0515_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0515_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_0515_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0515_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0515_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":515}
-{"canvas_size":[496,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0516","image_path":"images/angle_estimation_0516.png","interior_angles_degrees":[90.59146,46.951425,42.457115],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0516_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0516_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0516_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0516_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0516_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":516,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[81.2945,430.0],[418.4735,430.0],[77.5265,65.0]]}
-{"canvas_size":[477,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0517","image_path":"images/angle_estimation_0517.png","interior_angles_degrees":[89.786123,27.46776,62.746117],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0517_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0517_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0517_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0517_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0517_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":517,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,358.2081],[422.0,358.2081],[55.7108,167.7919]]}
-{"canvas_size":[473,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0518","image_path":"images/angle_estimation_0518.png","interior_angles_degrees":[90.158221,42.579159,47.26262],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0518_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0518_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0518_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0518_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0518_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":518,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.9211,423.276],[418.0,423.276],[55.0,89.724]]}
-{"canvas_size":[488,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0519","image_path":"images/angle_estimation_0519.png","interior_angles_degrees":[89.626565,39.114786,51.258648],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0519_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0519_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0519_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0519_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0519_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":519,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,406.867],[433.0,406.867],[56.9927,101.133]]}
-{"canvas_size":[450,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0520","image_path":"images/angle_estimation_0520.png","interior_angles_degrees":[89.770442,42.421859,47.807699],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0520_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0520_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0520_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0520_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0520_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":520,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,396.2836],[395.0,396.2836],[56.2403,86.7164]]}
-{"angle_degrees":301.843181,"arc_sweep_degrees":301.843181,"canvas_size":[456,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0521","image_path":"images/angle_estimation_0521.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0521_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_0521_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0521_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"122","question_id":"angle_estimation_0521_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0521_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[248.9682,101.0412],[112.0561,137.5871]],"scene_type":"single","seed":521,"vertex":[228.0,237.0]}
-{"angle_degrees":141.316581,"arc_sweep_degrees":141.316581,"canvas_size":[454,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0522","image_path":"images/angle_estimation_0522.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0522_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_0522_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0522_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"39","question_id":"angle_estimation_0522_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0522_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[393.3113,266.1798],[105.7154,317.1263]],"scene_type":"single","seed":522,"vertex":[227.0,244.0]}
-{"angle_degrees":328.409891,"arc_sweep_degrees":328.409891,"canvas_size":[493,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0523","image_path":"images/angle_estimation_0523.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0523_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_0523_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0523_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"148","question_id":"angle_estimation_0523_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0523_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[84.1589,289.2753],[152.137,344.4372]],"scene_type":"single","seed":523,"vertex":[246.5,258.5]}
-{"angle_degrees":206.34256,"arc_sweep_degrees":206.34256,"canvas_size":[464,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0524","image_path":"images/angle_estimation_0524.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0524_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_0524_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0524_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"26","question_id":"angle_estimation_0524_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0524_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[200.5202,90.7876],[205.0904,343.407]],"scene_type":"single","seed":524,"vertex":[232.0,237.0]}
-{"angle_degrees":90.000004,"arc_sweep_degrees":90.000004,"canvas_size":[484,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0525","image_path":"images/angle_estimation_0525.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"right","question_id":"angle_estimation_0525_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_0525_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"approximately equal to","question_id":"angle_estimation_0525_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"90","question_id":"angle_estimation_0525_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0525_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[310.2176,399.1014],[136.1304,286.0366]],"scene_type":"single","seed":525,"vertex":[242.0,240.5]}
-{"angle_degrees":72.850292,"arc_sweep_degrees":72.850292,"canvas_size":[459,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0526","image_path":"images/angle_estimation_0526.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0526_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_0526_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0526_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"107","question_id":"angle_estimation_0526_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0526_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[90.7368,260.3959],[167.9183,105.7802]],"scene_type":"single","seed":526,"vertex":[229.5,243.5]}
-{"angle_degrees":124.305001,"arc_sweep_degrees":124.305001,"canvas_size":[477,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0527","image_path":"images/angle_estimation_0527.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0527_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_0527_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0527_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"56","question_id":"angle_estimation_0527_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0527_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[173.1823,411.3608],[153.467,126.3118]],"scene_type":"single","seed":527,"vertex":[238.5,262.0]}
-{"angle_degrees":287.884616,"arc_sweep_degrees":287.884616,"canvas_size":[500,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0528","image_path":"images/angle_estimation_0528.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0528_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_0528_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0528_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"108","question_id":"angle_estimation_0528_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0528_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[99.5338,268.2525],[237.0838,348.4587]],"scene_type":"single","seed":528,"vertex":[250.0,238.5]}
-{"angle_1_degrees":129.066225,"angle_2_degrees":142.603232,"angles":[{"angle_degrees":129.066225,"arc_sweep_degrees":129.066225,"ray_endpoints":[[30.7068,312.4408],[161.2256,132.9635]],"vertex":[132.57,261.63]},{"angle_degrees":142.603232,"arc_sweep_degrees":142.603232,"ray_endpoints":[[360.1349,158.2243],[430.9656,359.8275]],"vertex":[358.43,261.63]}],"canvas_size":[491,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0529","image_path":"images/angle_estimation_0529.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0529_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0529_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0529_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0529_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0529_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":529}
-{"angle_1_degrees":24.560368,"angle_2_degrees":72.934751,"angles":[{"angle_degrees":24.560368,"arc_sweep_degrees":24.560368,"ray_endpoints":[[50.6685,230.8128],[51.859,183.5737]],"vertex":[127.17,259.92]},{"angle_degrees":72.934751,"arc_sweep_degrees":72.934751,"ray_endpoints":[[295.4586,158.1856],[442.0131,169.9681]],"vertex":[343.83,259.92]}],"canvas_size":[471,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0530","image_path":"images/angle_estimation_0530.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0530_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0530_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0530_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0530_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0530_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":530}
-{"angle_1_degrees":103.532949,"angle_2_degrees":79.639885,"angles":[{"angle_degrees":103.532949,"arc_sweep_degrees":103.532949,"ray_endpoints":[[27.4747,307.0187],[133.5455,172.4206]],"vertex":[133.92,281.01]},{"angle_degrees":79.639885,"arc_sweep_degrees":79.639885,"ray_endpoints":[[409.5841,353.3203],[280.354,359.008]],"vertex":[362.08,281.01]}],"canvas_size":[496,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0531","image_path":"images/angle_estimation_0531.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0531_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0531_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0531_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0531_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180��, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0531_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":531}
-{"angle_1_degrees":108.896064,"angle_2_degrees":24.993199,"angles":[{"angle_degrees":108.896064,"arc_sweep_degrees":108.896064,"ray_endpoints":[[205.6082,230.492],[154.1314,410.1794]],"vertex":[125.01,279.87]},{"angle_degrees":24.993199,"arc_sweep_degrees":24.993199,"ray_endpoints":[[439.0062,275.7266],[440.0308,322.4383]],"vertex":[337.99,279.87]}],"canvas_size":[463,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0532","image_path":"images/angle_estimation_0532.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0532_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0532_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0532_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0532_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0532_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":532}
-{"angle_1_degrees":75.965994,"angle_2_degrees":18.05083,"angles":[{"angle_degrees":75.965994,"arc_sweep_degrees":75.965994,"ray_endpoints":[[62.2385,322.5635],[34.0745,200.2619]],"vertex":[127.98,262.2]},{"angle_degrees":18.05083,"arc_sweep_degrees":18.05083,"ray_endpoints":[[421.151,326.2943],[420.739,384.218]],"vertex":[346.02,262.2]}],"canvas_size":[474,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0533","image_path":"images/angle_estimation_0533.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0533_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0533_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0533_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0533_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0533_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":533}
-{"angle_1_degrees":50.022158,"angle_2_degrees":137.625738,"angles":[{"angle_degrees":50.022158,"arc_sweep_degrees":50.022158,"ray_endpoints":[[204.1097,270.595],[203.8286,353.0159]],"vertex":[128.79,276.45]},{"angle_degrees":137.625738,"arc_sweep_degrees":137.625738,"ray_endpoints":[[435.252,249.384],[292.225,372.0557]],"vertex":[348.21,276.45]}],"canvas_size":[477,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0534","image_path":"images/angle_estimation_0534.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0534_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0534_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_0534_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0534_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0534_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":534}
-{"angle_1_degrees":72.500204,"angle_2_degrees":159.265813,"angles":[{"angle_degrees":72.500204,"arc_sweep_degrees":72.500204,"ray_endpoints":[[203.8449,208.0282],[215.5989,333.4343]],"vertex":[123.93,271.32]},{"angle_degrees":159.265813,"arc_sweep_degrees":159.265813,"ray_endpoints":[[254.9667,340.5937],[388.012,173.4565]],"vertex":[335.07,271.32]}],"canvas_size":[459,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0535","image_path":"images/angle_estimation_0535.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0535_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0535_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_0535_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0535_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0535_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":535}
-{"canvas_size":[497,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0536","image_path":"images/angle_estimation_0536.png","interior_angles_degrees":[121.455223,28.627606,29.917172],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0536_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0536_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0536_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0536_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0536_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":536,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[184.2218,351.6206],[442.0,351.6206],[55.0,140.3794]]}
-{"canvas_size":[496,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0537","image_path":"images/angle_estimation_0537.png","interior_angles_degrees":[107.369281,27.401779,45.228941],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0537_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0537_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0537_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0537_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0537_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":537,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[117.5893,354.0493],[441.0,354.0493],[55.0,153.9507]]}
-{"canvas_size":[467,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0538","image_path":"images/angle_estimation_0538.png","interior_angles_degrees":[114.785827,29.131108,36.083066],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0538_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0538_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0538_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0538_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0538_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":538,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[146.8716,348.4788],[412.0,348.4788],[55.0,149.5212]]}
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-{"angle_degrees":40.776819,"arc_sweep_degrees":40.776819,"canvas_size":[491,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0543","image_path":"images/angle_estimation_0543.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0543_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_0543_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0543_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"139","question_id":"angle_estimation_0543_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0543_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[308.6315,89.6077],[371.2665,178.0572]],"scene_type":"single","seed":543,"vertex":[245.5,241.0]}
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-{"angle_degrees":179.999995,"arc_sweep_degrees":179.999995,"canvas_size":[463,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0545","image_path":"images/angle_estimation_0545.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0545_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_0545_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0545_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_0545_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0545_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[400.7703,254.3882],[87.9519,259.2149]],"scene_type":"single","seed":545,"vertex":[231.5,257.0]}
-{"angle_degrees":144.879828,"arc_sweep_degrees":144.879828,"canvas_size":[450,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0546","image_path":"images/angle_estimation_0546.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0546_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_0546_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0546_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"35","question_id":"angle_estimation_0546_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0546_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[99.3182,359.5115],[257.8182,99.4853]],"scene_type":"single","seed":546,"vertex":[225.0,245.5]}
-{"angle_degrees":249.130209,"arc_sweep_degrees":249.130209,"canvas_size":[452,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0547","image_path":"images/angle_estimation_0547.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0547_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_0547_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0547_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"69","question_id":"angle_estimation_0547_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0547_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[101.3061,304.2206],[326.5526,328.0196]],"scene_type":"single","seed":547,"vertex":[226.0,239.0]}
-{"angle_degrees":60.326943,"arc_sweep_degrees":60.326943,"canvas_size":[452,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0548","image_path":"images/angle_estimation_0548.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0548_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_0548_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0548_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_0548_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0548_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[351.7807,209.6493],[312.6552,332.9823]],"scene_type":"single","seed":548,"vertex":[226.0,238.0]}
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-{"angle_1_degrees":56.396657,"angle_2_degrees":133.760041,"angles":[{"angle_degrees":56.396657,"arc_sweep_degrees":56.396657,"ray_endpoints":[[76.2254,205.8341],[170.5207,148.9304]],"vertex":[129.6,273.6]},{"angle_degrees":133.760041,"arc_sweep_degrees":133.760041,"ray_endpoints":[[450.6561,265.674],[274.3462,366.7191]],"vertex":[350.4,273.6]}],"canvas_size":[480,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0550","image_path":"images/angle_estimation_0550.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0550_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0550_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0550_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0550_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0550_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":550}
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-{"angle_1_degrees":68.859126,"angle_2_degrees":23.286798,"angles":[{"angle_degrees":68.859126,"arc_sweep_degrees":68.859126,"ray_endpoints":[[52.9256,327.0258],[23.065,210.4334]],"vertex":[121.77,283.29]},{"angle_degrees":23.286798,"arc_sweep_degrees":23.286798,"ray_endpoints":[[323.9735,369.467],[270.1742,400.3157]],"vertex":[329.23,283.29]}],"canvas_size":[451,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0552","image_path":"images/angle_estimation_0552.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0552_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0552_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0552_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0552_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0552_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":552}
-{"angle_1_degrees":37.873947,"angle_2_degrees":141.874916,"angles":[{"angle_degrees":37.873947,"arc_sweep_degrees":37.873947,"ray_endpoints":[[227.8582,274.5312],[215.2225,351.9988]],"vertex":[129.6,257.07]},{"angle_degrees":141.874916,"arc_sweep_degrees":141.874916,"ray_endpoints":[[277.0268,293.9274],[406.801,137.2295]],"vertex":[350.4,257.07]}],"canvas_size":[480,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0553","image_path":"images/angle_estimation_0553.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0553_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0553_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_0553_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0553_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0553_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":553}
-{"angle_1_degrees":55.595399,"angle_2_degrees":148.035938,"angles":[{"angle_degrees":55.595399,"arc_sweep_degrees":55.595399,"ray_endpoints":[[203.9514,292.6204],[169.3212,402.5723]],"vertex":[130.14,268.47]},{"angle_degrees":148.035938,"arc_sweep_degrees":148.035938,"ray_endpoints":[[265.2002,214.6728],[464.4847,268.2093]],"vertex":[351.86,268.47]}],"canvas_size":[482,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0554","image_path":"images/angle_estimation_0554.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0554_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0554_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_0554_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0554_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0554_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":554}
-{"angle_1_degrees":29.991945,"angle_2_degrees":62.179495,"angles":[{"angle_degrees":29.991945,"arc_sweep_degrees":29.991945,"ray_endpoints":[[120.2315,364.9165],[49.5446,383.7398]],"vertex":[124.74,266.19]},{"angle_degrees":62.179495,"arc_sweep_degrees":62.179495,"ray_endpoints":[[278.8412,200.4791],[385.3979,137.7232]],"vertex":[337.26,266.19]}],"canvas_size":[462,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0555","image_path":"images/angle_estimation_0555.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0555_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0555_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0555_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0555_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0555_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":555}
-{"canvas_size":[494,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0556","image_path":"images/angle_estimation_0556.png","interior_angles_degrees":[62.680838,65.809179,51.509983],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0556_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0556_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0556_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0556_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0556_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":556,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[63.5004,445.0],[430.4996,445.0],[259.794,65.0]]}
-{"canvas_size":[451,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0557","image_path":"images/angle_estimation_0557.png","interior_angles_degrees":[60.407061,71.875022,47.717917],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0557_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0557_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0557_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0557_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0557_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":557,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,446.4498],[396.0,446.4498],[271.319,65.5502]]}
-{"canvas_size":[474,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0558","image_path":"images/angle_estimation_0558.png","interior_angles_degrees":[47.739203,52.971537,79.289259],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0558_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0558_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0558_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0558_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0558_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":558,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,357.4399],[419.0,357.4399],[253.8917,138.5601]]}
-{"canvas_size":[450,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0559","image_path":"images/angle_estimation_0559.png","interior_angles_degrees":[68.325231,53.720734,57.954035],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0559_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0559_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0559_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0559_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0559_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":559,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,409.2491],[395.0,409.2491],[174.4295,108.7509]]}
-{"canvas_size":[498,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0560","image_path":"images/angle_estimation_0560.png","interior_angles_degrees":[66.385408,41.458098,72.156494],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0560_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0560_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0560_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0560_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0560_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":560,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,383.6335],[443.0,383.6335],[163.1033,136.3665]]}
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-{"angle_degrees":171.619703,"arc_sweep_degrees":171.619703,"canvas_size":[459,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0567","image_path":"images/angle_estimation_0567.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0567_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_0567_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0567_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"8","question_id":"angle_estimation_0567_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0567_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[213.5727,79.5843],[266.5494,397.6696]],"scene_type":"single","seed":567,"vertex":[229.5,247.0]}
-{"angle_degrees":192.74526,"arc_sweep_degrees":192.74526,"canvas_size":[456,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0568","image_path":"images/angle_estimation_0568.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0568_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0568_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0568_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"13","question_id":"angle_estimation_0568_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0568_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[204.6444,402.5144],[286.5061,84.1868]],"scene_type":"single","seed":568,"vertex":[228.0,238.0]}
-{"angle_1_degrees":52.20515,"angle_2_degrees":116.708752,"angles":[{"angle_degrees":52.20515,"arc_sweep_degrees":52.20515,"ray_endpoints":[[44.9604,231.7376],[107.1336,146.7263]],"vertex":[132.03,275.88]},{"angle_degrees":116.708752,"arc_sweep_degrees":116.708752,"ray_endpoints":[[377.3016,183.1536],[443.9115,346.4749]],"vertex":[356.97,275.88]}],"canvas_size":[489,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0569","image_path":"images/angle_estimation_0569.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0569_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0569_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0569_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0569_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0569_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":569}
-{"angle_1_degrees":168.885135,"angle_2_degrees":51.798358,"angles":[{"angle_degrees":168.885135,"arc_sweep_degrees":168.885135,"ray_endpoints":[[55.6687,333.3901],[184.08,167.0726]],"vertex":[122.58,263.34]},{"angle_degrees":51.798358,"arc_sweep_degrees":51.798358,"ray_endpoints":[[430.0141,311.8738],[356.5375,381.5844]],"vertex":[331.42,263.34]}],"canvas_size":[454,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0570","image_path":"images/angle_estimation_0570.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0570_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0570_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_0570_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0570_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0570_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":570}
-{"angle_1_degrees":61.886169,"angle_2_degrees":16.324396,"angles":[{"angle_degrees":61.886169,"arc_sweep_degrees":61.886169,"ray_endpoints":[[213.3792,250.9133],[188.9949,350.566]],"vertex":[123.93,265.62]},{"angle_degrees":16.324396,"arc_sweep_degrees":16.324396,"ray_endpoints":[[293.624,368.7311],[255.2973,366.9119]],"vertex":[335.07,265.62]}],"canvas_size":[459,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0571","image_path":"images/angle_estimation_0571.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0571_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0571_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0571_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0571_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0571_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":571}
-{"angle_1_degrees":163.35579,"angle_2_degrees":22.816923,"angles":[{"angle_degrees":163.35579,"arc_sweep_degrees":163.35579,"ray_endpoints":[[169.1219,343.2652],[21.6031,177.501]],"vertex":[125.01,270.75]},{"angle_degrees":22.816923,"arc_sweep_degrees":22.816923,"ray_endpoints":[[268.2381,213.6007],[273.9825,149.6286]],"vertex":[337.99,270.75]}],"canvas_size":[463,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0572","image_path":"images/angle_estimation_0572.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0572_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0572_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_0572_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0572_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0572_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":572}
-{"angle_1_degrees":114.147017,"angle_2_degrees":144.355215,"angles":[{"angle_degrees":114.147017,"arc_sweep_degrees":114.147017,"ray_endpoints":[[25.8689,248.8752],[204.8514,202.2797]],"vertex":[133.38,282.72]},{"angle_degrees":144.355215,"arc_sweep_degrees":144.355215,"ray_endpoints":[[445.1153,238.9997],[295.773,410.0066]],"vertex":[360.62,282.72]}],"canvas_size":[494,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0573","image_path":"images/angle_estimation_0573.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0573_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0573_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0573_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0573_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0573_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":573}
-{"angle_1_degrees":22.610592,"angle_2_degrees":76.107026,"angles":[{"angle_degrees":22.610592,"arc_sweep_degrees":22.610592,"ray_endpoints":[[26.2217,265.9995],[14.5726,215.227]],"vertex":[126.63,277.02]},{"angle_degrees":76.107026,"arc_sweep_degrees":76.107026,"ray_endpoints":[[411.523,345.9536],[282.8544,376.008]],"vertex":[342.37,277.02]}],"canvas_size":[469,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0574","image_path":"images/angle_estimation_0574.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0574_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0574_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0574_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0574_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0574_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":574}
-{"angle_1_degrees":158.433356,"angle_2_degrees":27.692297,"angles":[{"angle_degrees":158.433356,"arc_sweep_degrees":158.433356,"ray_endpoints":[[185.929,209.2695],[88.1028,408.2752]],"vertex":[126.63,283.29]},{"angle_degrees":27.692297,"arc_sweep_degrees":27.692297,"ray_endpoints":[[312.8716,380.6158],[259.8582,367.0971]],"vertex":[342.37,283.29]}],"canvas_size":[469,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0575","image_path":"images/angle_estimation_0575.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0575_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0575_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_0575_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0575_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0575_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":575}
-{"canvas_size":[498,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0576","image_path":"images/angle_estimation_0576.png","interior_angles_degrees":[89.977044,26.767171,63.255785],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0576_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0576_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0576_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0576_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0576_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":576,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,359.3372],[443.0,359.3372],[55.0784,163.6628]]}
-{"canvas_size":[475,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0577","image_path":"images/angle_estimation_0577.png","interior_angles_degrees":[89.652929,35.610283,54.736788],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0577_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0577_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0577_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0577_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0577_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":577,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,381.1421],[420.0,381.1421],[56.5767,120.8579]]}
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-{"canvas_size":[470,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0579","image_path":"images/angle_estimation_0579.png","interior_angles_degrees":[90.488424,38.488132,51.023444],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0579_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0579_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0579_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0579_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0579_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":579,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[57.4401,395.6176],[415.0,395.6176],[55.0,109.3824]]}
-{"canvas_size":[483,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0580","image_path":"images/angle_estimation_0580.png","interior_angles_degrees":[90.72859,51.453407,37.818003],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0580_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0580_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0580_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0580_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0580_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":580,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[93.7902,448.0],[394.0804,448.0],[88.9196,65.0]]}
-{"angle_degrees":71.946258,"arc_sweep_degrees":71.946258,"canvas_size":[495,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0581","image_path":"images/angle_estimation_0581.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0581_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_0581_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0581_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"108","question_id":"angle_estimation_0581_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0581_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[387.5431,242.0615],[282.8736,360.4939]],"scene_type":"single","seed":581,"vertex":[247.5,237.0]}
-{"angle_degrees":346.837842,"arc_sweep_degrees":346.837842,"canvas_size":[463,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0582","image_path":"images/angle_estimation_0582.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0582_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_0582_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0582_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"167","question_id":"angle_estimation_0582_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0582_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[386.7685,197.9025],[358.6196,171.1457]],"scene_type":"single","seed":582,"vertex":[231.5,259.5]}
-{"angle_degrees":107.730812,"arc_sweep_degrees":107.730812,"canvas_size":[484,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0583","image_path":"images/angle_estimation_0583.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0583_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_0583_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0583_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"72","question_id":"angle_estimation_0583_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0583_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[206.2077,367.6456],[122.3293,161.4326]],"scene_type":"single","seed":583,"vertex":[242.0,240.5]}
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-{"angle_degrees":110.57264,"arc_sweep_degrees":110.57264,"canvas_size":[496,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0588","image_path":"images/angle_estimation_0588.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0588_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_0588_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0588_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"69","question_id":"angle_estimation_0588_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0588_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[124.2854,224.1172],[333.7652,113.1343]],"scene_type":"single","seed":588,"vertex":[248.0,249.5]}
-{"angle_1_degrees":126.774763,"angle_2_degrees":160.433768,"angles":[{"angle_degrees":126.774763,"arc_sweep_degrees":126.774763,"ray_endpoints":[[167.2838,196.6204],[169.7266,384.2965]],"vertex":[123.39,268.47]},{"angle_degrees":160.433768,"arc_sweep_degrees":160.433768,"ray_endpoints":[[267.5561,310.1122],[420.0285,158.6726]],"vertex":[333.61,268.47]}],"canvas_size":[457,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0589","image_path":"images/angle_estimation_0589.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0589_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0589_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0589_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0589_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0589_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":589}
-{"angle_1_degrees":76.896758,"angle_2_degrees":25.285013,"angles":[{"angle_degrees":76.896758,"arc_sweep_degrees":76.896758,"ray_endpoints":[[55.991,185.7047],[200.1501,144.9366]],"vertex":[121.77,258.21]},{"angle_degrees":25.285013,"arc_sweep_degrees":25.285013,"ray_endpoints":[[326.6693,355.1697],[275.0341,365.5097]],"vertex":[329.23,258.21]}],"canvas_size":[451,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0590","image_path":"images/angle_estimation_0590.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0590_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0590_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0590_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0590_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0590_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":590}
-{"angle_1_degrees":91.04139,"angle_2_degrees":80.900906,"angles":[{"angle_degrees":91.04139,"arc_sweep_degrees":91.04139,"ray_endpoints":[[158.7425,345.3037],[25.1362,307.1544]],"vertex":[130.95,270.18]},{"angle_degrees":80.900906,"arc_sweep_degrees":80.900906,"ray_endpoints":[[463.0425,256.4517],[390.0082,393.3225]],"vertex":[354.05,270.18]}],"canvas_size":[485,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0591","image_path":"images/angle_estimation_0591.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0591_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0591_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0591_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0591_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0591_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":591}
-{"angle_1_degrees":161.181207,"angle_2_degrees":35.850359,"angles":[{"angle_degrees":161.181207,"arc_sweep_degrees":161.181207,"ray_endpoints":[[122.7411,192.1211],[165.398,399.4961]],"vertex":[122.58,273.03]},{"angle_degrees":35.850359,"arc_sweep_degrees":35.850359,"ray_endpoints":[[314.6917,346.6882],[242.0197,351.7206]],"vertex":[331.42,273.03]}],"canvas_size":[454,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0592","image_path":"images/angle_estimation_0592.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0592_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0592_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_0592_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0592_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0592_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":592}
-{"angle_1_degrees":75.611447,"angle_2_degrees":16.461802,"angles":[{"angle_degrees":75.611447,"arc_sweep_degrees":75.611447,"ray_endpoints":[[68.4911,342.9511],[29.7678,226.0685]],"vertex":[126.9,269.61]},{"angle_degrees":16.461802,"arc_sweep_degrees":16.461802,"ray_endpoints":[[404.5829,198.5836],[436.9609,209.4504]],"vertex":[343.1,269.61]}],"canvas_size":[470,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0593","image_path":"images/angle_estimation_0593.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0593_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0593_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0593_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0593_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0593_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":593}
-{"angle_1_degrees":38.312514,"angle_2_degrees":150.857721,"angles":[{"angle_degrees":38.312514,"arc_sweep_degrees":38.312514,"ray_endpoints":[[48.1024,271.0464],[16.137,182.5809]],"vertex":[123.66,273.6]},{"angle_degrees":150.857721,"arc_sweep_degrees":150.857721,"ray_endpoints":[[295.4569,190.3555],[432.9765,344.793]],"vertex":[334.34,273.6]}],"canvas_size":[458,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0594","image_path":"images/angle_estimation_0594.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0594_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0594_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0594_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0594_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0594_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":594}
-{"angle_1_degrees":112.861851,"angle_2_degrees":127.015909,"angles":[{"angle_degrees":112.861851,"arc_sweep_degrees":112.861851,"ray_endpoints":[[52.4798,277.021],[160.3496,159.9313]],"vertex":[127.44,269.04]},{"angle_degrees":127.015909,"arc_sweep_degrees":127.015909,"ray_endpoints":[[267.0661,317.5171],[354.1467,159.1864]],"vertex":[344.56,269.04]}],"canvas_size":[472,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0595","image_path":"images/angle_estimation_0595.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0595_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0595_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0595_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0595_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0595_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":595}
-{"canvas_size":[475,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0596","image_path":"images/angle_estimation_0596.png","interior_angles_degrees":[130.408878,16.456534,33.134588],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0596_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0596_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0596_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0596_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0596_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":596,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[146.7881,298.4084],[420.0,298.4084],[55.0,190.5916]]}
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-{"canvas_size":[466,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0600","image_path":"images/angle_estimation_0600.png","interior_angles_degrees":[104.313254,34.19199,41.494757],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0600_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0600_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0600_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0600_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0600_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":600,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[116.7101,371.9323],[411.0,371.9323],[55.0,130.0677]]}
-{"angle_degrees":202.861661,"arc_sweep_degrees":202.861661,"canvas_size":[462,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0601","image_path":"images/angle_estimation_0601.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0601_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_0601_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0601_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"23","question_id":"angle_estimation_0601_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0601_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[210.1275,98.137],[201.2935,366.0126]],"scene_type":"single","seed":601,"vertex":[231.0,258.5]}
-{"angle_degrees":123.820262,"arc_sweep_degrees":123.820262,"canvas_size":[475,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0602","image_path":"images/angle_estimation_0602.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0602_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_0602_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0602_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"56","question_id":"angle_estimation_0602_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0602_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[107.9069,145.6723],[362.6914,198.3791]],"scene_type":"single","seed":602,"vertex":[237.5,242.5]}
-{"angle_degrees":203.484,"arc_sweep_degrees":203.484,"canvas_size":[460,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0603","image_path":"images/angle_estimation_0603.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0603_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_0603_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0603_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"23","question_id":"angle_estimation_0603_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0603_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[83.9793,235.358],[349.7881,326.3405]],"scene_type":"single","seed":603,"vertex":[230.0,254.5]}
-{"angle_degrees":319.861876,"arc_sweep_degrees":319.861876,"canvas_size":[454,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0604","image_path":"images/angle_estimation_0604.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0604_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_0604_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0604_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"140","question_id":"angle_estimation_0604_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0604_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[163.888,92.1861],[113.978,185.0299]],"scene_type":"single","seed":604,"vertex":[227.0,243.0]}
-{"angle_degrees":89.999986,"arc_sweep_degrees":89.999986,"canvas_size":[461,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0605","image_path":"images/angle_estimation_0605.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"right","question_id":"angle_estimation_0605_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_0605_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"approximately equal to","question_id":"angle_estimation_0605_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"90","question_id":"angle_estimation_0605_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0605_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[132.0476,371.2311],[145.8055,183.2604]],"scene_type":"single","seed":605,"vertex":[230.5,255.0]}
-{"angle_degrees":133.260216,"arc_sweep_degrees":133.260216,"canvas_size":[497,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0606","image_path":"images/angle_estimation_0606.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0606_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_0606_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0606_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"47","question_id":"angle_estimation_0606_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0606_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[107.8458,280.2164],[305.1999,125.9629]],"scene_type":"single","seed":606,"vertex":[248.5,238.5]}
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-{"angle_degrees":310.909217,"arc_sweep_degrees":310.909217,"canvas_size":[458,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0608","image_path":"images/angle_estimation_0608.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0608_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_0608_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0608_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"131","question_id":"angle_estimation_0608_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0608_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[369.7458,181.2351],[257.5657,126.9913]],"scene_type":"single","seed":608,"vertex":[229.0,258.0]}
-{"angle_1_degrees":59.49314,"angle_2_degrees":37.945016,"angles":[{"angle_degrees":59.49314,"arc_sweep_degrees":59.49314,"ray_endpoints":[[181.854,364.9163],[74.9942,375.9581]],"vertex":[132.3,277.02]},{"angle_degrees":37.945016,"arc_sweep_degrees":37.945016,"ray_endpoints":[[441.125,251.0046],[456.4275,314.1791]],"vertex":[357.7,277.02]}],"canvas_size":[490,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0609","image_path":"images/angle_estimation_0609.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0609_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0609_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0609_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0609_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0609_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":609}
-{"angle_1_degrees":147.053913,"angle_2_degrees":33.937241,"angles":[{"angle_degrees":147.053913,"arc_sweep_degrees":147.053913,"ray_endpoints":[[109.609,378.3524],[76.1765,144.5633]],"vertex":[129.06,271.32]},{"angle_degrees":33.937241,"arc_sweep_degrees":33.937241,"ray_endpoints":[[411.424,347.1298],[362.3491,409.0964]],"vertex":[348.94,271.32]}],"canvas_size":[478,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0610","image_path":"images/angle_estimation_0610.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0610_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0610_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0610_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0610_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0610_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":610}
-{"angle_1_degrees":110.659041,"angle_2_degrees":162.529866,"angles":[{"angle_degrees":110.659041,"arc_sweep_degrees":110.659041,"ray_endpoints":[[44.6528,290.0641],[143.5326,163.2309]],"vertex":[130.68,269.04]},{"angle_degrees":162.529866,"arc_sweep_degrees":162.529866,"ray_endpoints":[[401.5096,350.3893],[258.701,184.1782]],"vertex":[353.32,269.04]}],"canvas_size":[484,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0611","image_path":"images/angle_estimation_0611.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0611_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0611_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0611_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0611_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0611_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":611}
-{"angle_1_degrees":65.950971,"angle_2_degrees":31.933745,"angles":[{"angle_degrees":65.950971,"arc_sweep_degrees":65.950971,"ray_endpoints":[[27.4812,279.7541],[48.5726,146.918]],"vertex":[125.28,263.91]},{"angle_degrees":31.933745,"arc_sweep_degrees":31.933745,"ray_endpoints":[[266.0837,178.7081],[317.4147,121.5993]],"vertex":[338.72,263.91]}],"canvas_size":[464,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0612","image_path":"images/angle_estimation_0612.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0612_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0612_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0612_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0612_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0612_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":612}
-{"angle_1_degrees":169.603511,"angle_2_degrees":12.364483,"angles":[{"angle_degrees":169.603511,"arc_sweep_degrees":169.603511,"ray_endpoints":[[66.8218,182.1747],[215.3457,343.3801]],"vertex":[126.09,261.06]},{"angle_degrees":12.364483,"arc_sweep_degrees":12.364483,"ray_endpoints":[[375.813,193.283],[417.5934,168.4036]],"vertex":[340.91,261.06]}],"canvas_size":[467,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0613","image_path":"images/angle_estimation_0613.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0613_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0613_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"160","question_id":"angle_estimation_0613_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0613_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0613_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":613}
-{"angle_1_degrees":106.387146,"angle_2_degrees":41.042344,"angles":[{"angle_degrees":106.387146,"arc_sweep_degrees":106.387146,"ray_endpoints":[[216.5328,226.502],[139.8877,391.2936]],"vertex":[125.82,264.48]},{"angle_degrees":41.042344,"arc_sweep_degrees":41.042344,"ray_endpoints":[[438.0128,262.8424],[424.5134,335.4535]],"vertex":[340.18,264.48]}],"canvas_size":[466,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0614","image_path":"images/angle_estimation_0614.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0614_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0614_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0614_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0614_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0614_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":614}
-{"angle_1_degrees":33.076731,"angle_2_degrees":56.140138,"angles":[{"angle_degrees":33.076731,"arc_sweep_degrees":33.076731,"ray_endpoints":[[42.9431,237.6722],[63.8373,183.6528]],"vertex":[125.28,270.18]},{"angle_degrees":56.140138,"arc_sweep_degrees":56.140138,"ray_endpoints":[[371.4138,352.715],[260.5191,383.8329]],"vertex":[338.72,270.18]}],"canvas_size":[464,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0615","image_path":"images/angle_estimation_0615.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0615_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0615_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0615_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0615_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0615_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":615}
-{"canvas_size":[451,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0616","image_path":"images/angle_estimation_0616.png","interior_angles_degrees":[68.953069,38.746567,72.300364],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0616_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0616_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0616_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0616_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0616_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":616,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,366.5415],[396.0,366.5415],[135.456,157.4585]]}
-{"canvas_size":[494,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0617","image_path":"images/angle_estimation_0617.png","interior_angles_degrees":[50.824209,68.596658,60.579133],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0617_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0617_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0617_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0617_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0617_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":617,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,414.0932],[439.0,414.0932],[314.2827,95.9068]]}
-{"canvas_size":[479,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0618","image_path":"images/angle_estimation_0618.png","interior_angles_degrees":[56.558295,36.884308,86.557397],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0618_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0618_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0618_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0618_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0618_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":618,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,353.5713],[424.0,353.5713],[177.2725,168.4287]]}
-{"canvas_size":[482,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0619","image_path":"images/angle_estimation_0619.png","interior_angles_degrees":[57.60204,34.65167,87.74629],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0619_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0619_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0619_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0619_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0619_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":619,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,329.3647],[427.0,329.3647],[168.4162,150.6353]]}
-{"canvas_size":[464,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0620","image_path":"images/angle_estimation_0620.png","interior_angles_degrees":[62.064724,59.884645,58.050631],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0620_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0620_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0620_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0620_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0620_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":620,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,412.9165],[409.0,412.9165],[224.0648,94.0835]]}
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-{"angle_degrees":343.484321,"arc_sweep_degrees":343.484321,"canvas_size":[468,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0622","image_path":"images/angle_estimation_0622.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0622_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_0622_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0622_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"163","question_id":"angle_estimation_0622_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0622_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[383.6972,233.1972],[351.2805,199.1573]],"scene_type":"single","seed":622,"vertex":[234.0,238.5]}
-{"angle_degrees":67.9789,"arc_sweep_degrees":67.9789,"canvas_size":[452,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0623","image_path":"images/angle_estimation_0623.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0623_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_0623_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0623_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"112","question_id":"angle_estimation_0623_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0623_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[348.5915,286.2794],[237.3563,376.0727]],"scene_type":"single","seed":623,"vertex":[226.0,249.0]}
-{"angle_degrees":109.71193,"arc_sweep_degrees":109.71193,"canvas_size":[462,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0624","image_path":"images/angle_estimation_0624.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0624_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_0624_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0624_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"70","question_id":"angle_estimation_0624_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0624_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[67.8542,214.0054],[290.0838,127.2468]],"scene_type":"single","seed":624,"vertex":[231.0,238.0]}
-{"angle_degrees":119.999991,"arc_sweep_degrees":119.999991,"canvas_size":[476,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0625","image_path":"images/angle_estimation_0625.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0625_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_0625_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0625_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"60","question_id":"angle_estimation_0625_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0625_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[109.1194,331.7529],[230.4036,134.862]],"scene_type":"single","seed":625,"vertex":[238.0,245.0]}
-{"angle_degrees":51.410989,"arc_sweep_degrees":51.410989,"canvas_size":[473,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0626","image_path":"images/angle_estimation_0626.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0626_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_0626_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0626_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"129","question_id":"angle_estimation_0626_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0626_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[249.8595,136.2026],[331.8361,200.7572]],"scene_type":"single","seed":626,"vertex":[236.5,261.5]}
-{"angle_degrees":209.880634,"arc_sweep_degrees":209.880634,"canvas_size":[466,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0627","image_path":"images/angle_estimation_0627.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0627_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_0627_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0627_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"30","question_id":"angle_estimation_0627_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0627_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[334.1434,343.7608],[195.8605,160.6124]],"scene_type":"single","seed":627,"vertex":[233.0,260.0]}
-{"angle_degrees":196.930196,"arc_sweep_degrees":196.930196,"canvas_size":[475,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0628","image_path":"images/angle_estimation_0628.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0628_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0628_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0628_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"17","question_id":"angle_estimation_0628_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0628_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[338.8038,365.4598],[187.9042,115.9893]],"scene_type":"single","seed":628,"vertex":[237.5,239.5]}
-{"angle_1_degrees":106.403481,"angle_2_degrees":62.992481,"angles":[{"angle_degrees":106.403481,"arc_sweep_degrees":106.403481,"ray_endpoints":[[197.9159,318.3401],[40.917,335.9249]],"vertex":[122.31,267.9]},{"angle_degrees":62.992481,"arc_sweep_degrees":62.992481,"ray_endpoints":[[296.2281,175.9581],[410.9101,180.1873]],"vertex":[330.69,267.9]}],"canvas_size":[453,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0629","image_path":"images/angle_estimation_0629.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0629_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0629_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0629_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0629_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0629_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":629}
-{"angle_1_degrees":107.159262,"angle_2_degrees":43.88759,"angles":[{"angle_degrees":107.159262,"arc_sweep_degrees":107.159262,"ray_endpoints":[[53.5964,332.6556],[66.7634,133.3684]],"vertex":[129.33,261.63]},{"angle_degrees":43.88759,"arc_sweep_degrees":43.88759,"ray_endpoints":[[374.3096,348.2536],[298.6245,357.5943]],"vertex":[349.67,261.63]}],"canvas_size":[479,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0630","image_path":"images/angle_estimation_0630.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0630_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0630_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0630_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0630_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0630_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":630}
-{"angle_1_degrees":75.486787,"angle_2_degrees":15.63449,"angles":[{"angle_degrees":75.486787,"arc_sweep_degrees":75.486787,"ray_endpoints":[[62.856,319.8325],[39.2812,188.8414]],"vertex":[135.0,266.76]},{"angle_degrees":15.63449,"arc_sweep_degrees":15.63449,"ray_endpoints":[[373.8245,190.562],[417.8682,137.4717]],"vertex":[365.0,266.76]}],"canvas_size":[500,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0631","image_path":"images/angle_estimation_0631.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0631_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0631_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0631_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0631_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0631_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":631}
-{"angle_1_degrees":161.487724,"angle_2_degrees":15.692449,"angles":[{"angle_degrees":161.487724,"arc_sweep_degrees":161.487724,"ray_endpoints":[[222.7183,318.5064],[12.8255,241.9147]],"vertex":[127.71,264.48]},{"angle_degrees":15.692449,"arc_sweep_degrees":15.692449,"ray_endpoints":[[284.1094,203.7991],[284.4356,157.1061]],"vertex":[345.29,264.48]}],"canvas_size":[473,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0632","image_path":"images/angle_estimation_0632.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0632_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0632_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"150","question_id":"angle_estimation_0632_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0632_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0632_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":632}
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-{"angle_1_degrees":65.496218,"angle_2_degrees":30.573149,"angles":[{"angle_degrees":65.496218,"arc_sweep_degrees":65.496218,"ray_endpoints":[[157.7012,352.2949],[27.4749,363.0186]],"vertex":[123.66,264.48]},{"angle_degrees":30.573149,"arc_sweep_degrees":30.573149,"ray_endpoints":[[325.4204,152.0974],[388.179,154.2656]],"vertex":[334.34,264.48]}],"canvas_size":[458,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0634","image_path":"images/angle_estimation_0634.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0634_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0634_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0634_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0634_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0634_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":634}
-{"angle_1_degrees":54.105035,"angle_2_degrees":121.617854,"angles":[{"angle_degrees":54.105035,"arc_sweep_degrees":54.105035,"ray_endpoints":[[140.9175,382.0509],[46.3265,343.8785]],"vertex":[127.44,269.04]},{"angle_degrees":121.617854,"arc_sweep_degrees":121.617854,"ray_endpoints":[[448.6327,242.0133],[306.6477,392.5808]],"vertex":[344.56,269.04]}],"canvas_size":[472,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0635","image_path":"images/angle_estimation_0635.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0635_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0635_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0635_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0635_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0635_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":635}
-{"canvas_size":[462,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0636","image_path":"images/angle_estimation_0636.png","interior_angles_degrees":[90.040887,42.762246,47.196867],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0636_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0636_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0636_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0636_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0636_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":636,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.2323,402.7625],[407.0,402.7625],[55.0,77.2375]]}
-{"canvas_size":[481,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0637","image_path":"images/angle_estimation_0637.png","interior_angles_degrees":[89.223976,43.16766,47.608364],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0637_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0637_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0637_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0637_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0637_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":637,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,417.8162],[426.0,417.8162],[59.6545,74.1838]]}
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-{"canvas_size":[495,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0639","image_path":"images/angle_estimation_0639.png","interior_angles_degrees":[90.404413,26.052508,63.543079],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0639_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0639_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0639_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0639_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0639_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":639,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.3285,353.607],[440.0,353.607],[55.0,165.393]]}
-{"canvas_size":[451,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0640","image_path":"images/angle_estimation_0640.png","interior_angles_degrees":[89.027047,46.355315,44.617638],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0640_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0640_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0640_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0640_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0640_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":640,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[55.0,436.6359],[396.0,436.6359],[60.9656,85.3641]]}
-{"angle_degrees":208.438322,"arc_sweep_degrees":208.438322,"canvas_size":[474,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0641","image_path":"images/angle_estimation_0641.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0641_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_0641_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0641_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"28","question_id":"angle_estimation_0641_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0641_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[134.4456,341.5466],[384.4047,191.6163]],"scene_type":"single","seed":641,"vertex":[237.0,237.0]}
-{"angle_degrees":304.211495,"arc_sweep_degrees":304.211495,"canvas_size":[492,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0642","image_path":"images/angle_estimation_0642.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0642_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_0642_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0642_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"124","question_id":"angle_estimation_0642_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0642_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[365.364,153.7499],[238.1877,104.6207]],"scene_type":"single","seed":642,"vertex":[246.0,245.0]}
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-{"angle_1_degrees":132.672985,"angle_2_degrees":43.845329,"angles":[{"angle_degrees":132.672985,"arc_sweep_degrees":132.672985,"ray_endpoints":[[115.9177,188.0248],[205.5068,343.9795]],"vertex":[122.04,277.02]},{"angle_degrees":43.845329,"arc_sweep_degrees":43.845329,"ray_endpoints":[[276.6588,223.4926],[328.0528,171.2839]],"vertex":[329.96,277.02]}],"canvas_size":[452,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0651","image_path":"images/angle_estimation_0651.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0651_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0651_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_0651_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0651_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0651_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":651}
-{"angle_1_degrees":145.771959,"angle_2_degrees":126.789629,"angles":[{"angle_degrees":145.771959,"arc_sweep_degrees":145.771959,"ray_endpoints":[[140.7431,351.2764],[20.8895,178.2358]],"vertex":[123.93,275.31]},{"angle_degrees":126.789629,"arc_sweep_degrees":126.789629,"ray_endpoints":[[252.4897,306.6889],[367.0473,163.6729]],"vertex":[335.07,275.31]}],"canvas_size":[459,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0652","image_path":"images/angle_estimation_0652.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0652_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0652_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0652_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0652_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0652_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":652}
-{"angle_1_degrees":25.604239,"angle_2_degrees":57.595369,"angles":[{"angle_degrees":25.604239,"arc_sweep_degrees":25.604239,"ray_endpoints":[[83.1701,369.198],[21.6529,356.4283]],"vertex":[134.19,274.17]},{"angle_degrees":57.595369,"arc_sweep_degrees":57.595369,"ray_endpoints":[[407.5066,337.9202],[317.3064,383.6994]],"vertex":[362.81,274.17]}],"canvas_size":[497,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0653","image_path":"images/angle_estimation_0653.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0653_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0653_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0653_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0653_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0653_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":653}
-{"angle_1_degrees":20.329771,"angle_2_degrees":163.597535,"angles":[{"angle_degrees":20.329771,"arc_sweep_degrees":20.329771,"ray_endpoints":[[40.9464,341.1624],[27.8057,304.3511]],"vertex":[132.84,277.02]},{"angle_degrees":163.597535,"arc_sweep_degrees":163.597535,"ray_endpoints":[[294.6671,327.1439],[443.1056,160.3829]],"vertex":[359.16,277.02]}],"canvas_size":[492,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0654","image_path":"images/angle_estimation_0654.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0654_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0654_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_0654_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0654_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0654_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":654}
-{"angle_1_degrees":55.840133,"angle_2_degrees":162.345719,"angles":[{"angle_degrees":55.840133,"arc_sweep_degrees":55.840133,"ray_endpoints":[[29.6707,205.5413],[116.8333,122.9655]],"vertex":[122.04,263.34]},{"angle_degrees":162.345719,"arc_sweep_degrees":162.345719,"ray_endpoints":[[243.076,315.2711],[402.8233,180.9213]],"vertex":[329.96,263.34]}],"canvas_size":[452,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0655","image_path":"images/angle_estimation_0655.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0655_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0655_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0655_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0655_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0655_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":655}
-{"canvas_size":[492,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0656","image_path":"images/angle_estimation_0656.png","interior_angles_degrees":[121.965797,18.731125,39.303078],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0656_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0656_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0656_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0656_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0656_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":656,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[135.8326,327.2656],[437.0,327.2656],[55.0,197.7344]]}
-{"canvas_size":[488,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0657","image_path":"images/angle_estimation_0657.png","interior_angles_degrees":[111.273476,30.167012,38.559511],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0657_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0657_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0657_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0657_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0657_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":657,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[140.5442,359.855],[433.0,359.855],[55.0,140.145]]}
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-{"angle_degrees":115.476971,"arc_sweep_degrees":115.476971,"canvas_size":[461,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0661","image_path":"images/angle_estimation_0661.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0661_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_0661_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0661_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"65","question_id":"angle_estimation_0661_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0661_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[284.979,367.2556],[92.9802,248.6641]],"scene_type":"single","seed":661,"vertex":[230.5,250.0]}
-{"angle_degrees":19.212872,"arc_sweep_degrees":19.212872,"canvas_size":[490,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0662","image_path":"images/angle_estimation_0662.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0662_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_0662_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0662_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"161","question_id":"angle_estimation_0662_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0662_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[300.8324,112.3714],[348.0455,129.0579]],"scene_type":"single","seed":662,"vertex":[245.0,240.5]}
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-{"angle_degrees":318.547458,"arc_sweep_degrees":318.547458,"canvas_size":[500,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0664","image_path":"images/angle_estimation_0664.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0664_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_0664_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0664_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"139","question_id":"angle_estimation_0664_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0664_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[146.445,149.9828],[117.3619,247.545]],"scene_type":"single","seed":664,"vertex":[250.0,259.5]}
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-{"angle_degrees":16.268221,"arc_sweep_degrees":16.268221,"canvas_size":[479,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0668","image_path":"images/angle_estimation_0668.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0668_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_0668_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0668_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"164","question_id":"angle_estimation_0668_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0668_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[112.3359,200.5948],[102.715,149.3084]],"scene_type":"single","seed":668,"vertex":[239.5,240.5]}
-{"angle_1_degrees":52.698092,"angle_2_degrees":37.588952,"angles":[{"angle_degrees":52.698092,"arc_sweep_degrees":52.698092,"ray_endpoints":[[38.5959,271.7792],[58.9595,174.5763]],"vertex":[126.63,278.16]},{"angle_degrees":37.588952,"arc_sweep_degrees":37.588952,"ray_endpoints":[[266.4211,259.8346],[265.8475,183.1404]],"vertex":[342.37,278.16]}],"canvas_size":[469,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0669","image_path":"images/angle_estimation_0669.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0669_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0669_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0669_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0669_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0669_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":669}
-{"angle_1_degrees":13.305865,"angle_2_degrees":158.13189,"angles":[{"angle_degrees":13.305865,"arc_sweep_degrees":13.305865,"ray_endpoints":[[195.0926,363.5093],[170.5134,372.7119]],"vertex":[131.22,269.04]},{"angle_degrees":158.13189,"arc_sweep_degrees":158.13189,"ray_endpoints":[[282.6045,316.6597],[421.5671,172.6447]],"vertex":[354.78,269.04]}],"canvas_size":[486,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0670","image_path":"images/angle_estimation_0670.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0670_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0670_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_0670_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0670_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0670_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":670}
-{"angle_1_degrees":143.195197,"angle_2_degrees":120.5641,"angles":[{"angle_degrees":143.195197,"arc_sweep_degrees":143.195197,"ray_endpoints":[[220.7271,273.1402],[39.2311,312.401]],"vertex":[131.49,261.06]},{"angle_degrees":120.5641,"arc_sweep_degrees":120.5641,"ray_endpoints":[[281.4276,245.4431],[452.3519,155.2571]],"vertex":[355.51,261.06]}],"canvas_size":[487,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0671","image_path":"images/angle_estimation_0671.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0671_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0671_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0671_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0671_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0671_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":671}
-{"angle_1_degrees":64.348167,"angle_2_degrees":37.602679,"angles":[{"angle_degrees":64.348167,"arc_sweep_degrees":64.348167,"ray_endpoints":[[115.5965,355.6812],[23.4454,299.5723]],"vertex":[121.77,259.92]},{"angle_degrees":37.602679,"arc_sweep_degrees":37.602679,"ray_endpoints":[[335.3207,148.228],[402.805,174.4536]],"vertex":[329.23,259.92]}],"canvas_size":[451,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0672","image_path":"images/angle_estimation_0672.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0672_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0672_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0672_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0672_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0672_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":672}
-{"angle_1_degrees":135.297159,"angle_2_degrees":32.486573,"angles":[{"angle_degrees":135.297159,"arc_sweep_degrees":135.297159,"ray_endpoints":[[42.4282,305.7509],[175.6102,160.7123]],"vertex":[130.41,269.04]},{"angle_degrees":32.486573,"arc_sweep_degrees":32.486573,"ray_endpoints":[[426.7235,240.9594],[460.5087,291.4688]],"vertex":[352.59,269.04]}],"canvas_size":[483,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0673","image_path":"images/angle_estimation_0673.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0673_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0673_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_0673_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0673_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0673_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":673}
-{"angle_1_degrees":57.453441,"angle_2_degrees":147.213966,"angles":[{"angle_degrees":57.453441,"arc_sweep_degrees":57.453441,"ray_endpoints":[[152.6357,338.7769],[34.9381,369.0459]],"vertex":[128.25,259.35]},{"angle_degrees":147.213966,"arc_sweep_degrees":147.213966,"ray_endpoints":[[383.6851,185.949],[358.6885,371.5307]],"vertex":[346.75,259.35]}],"canvas_size":[475,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0674","image_path":"images/angle_estimation_0674.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0674_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0674_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_0674_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0674_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0674_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":674}
-{"angle_1_degrees":14.166668,"angle_2_degrees":65.18677,"angles":[{"angle_degrees":14.166668,"arc_sweep_degrees":14.166668,"ray_endpoints":[[71.2749,198.7042],[69.965,140.6872]],"vertex":[125.01,269.04]},{"angle_degrees":65.18677,"arc_sweep_degrees":65.18677,"ray_endpoints":[[331.9854,156.7687],[441.6773,214.1991]],"vertex":[337.99,269.04]}],"canvas_size":[463,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0675","image_path":"images/angle_estimation_0675.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0675_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0675_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0675_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0675_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0675_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":675}
-{"canvas_size":[451,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0676","image_path":"images/angle_estimation_0676.png","interior_angles_degrees":[66.635839,48.117493,65.246668],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0676_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0676_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0676_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0676_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0676_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":676,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,389.3215],[396.0,389.3215],[165.8688,132.6785]]}
-{"canvas_size":[490,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0677","image_path":"images/angle_estimation_0677.png","interior_angles_degrees":[64.248923,45.902954,69.848123],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0677_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0677_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0677_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0677_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0677_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":677,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,372.9141],[435.0,372.9141],[181.297,111.0859]]}
-{"canvas_size":[457,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0678","image_path":"images/angle_estimation_0678.png","interior_angles_degrees":[69.023946,48.956444,62.01961],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0678_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0678_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0678_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0678_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0678_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":678,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,388.3565],[402.0,388.3565],[161.0875,111.6435]]}
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-{"angle_degrees":119.788249,"arc_sweep_degrees":119.788249,"canvas_size":[497,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0688","image_path":"images/angle_estimation_0688.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0688_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_0688_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0688_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"60","question_id":"angle_estimation_0688_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0688_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[275.2661,103.2936],[351.7231,333.4982]],"scene_type":"single","seed":688,"vertex":[248.5,245.5]}
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-{"angle_1_degrees":159.902134,"angle_2_degrees":30.790062,"angles":[{"angle_degrees":159.902134,"arc_sweep_degrees":159.902134,"ray_endpoints":[[152.5287,191.8836],[123.3962,392.2531]],"vertex":[121.77,279.87]},{"angle_degrees":30.790062,"arc_sweep_degrees":30.790062,"ray_endpoints":[[337.7044,355.3137],[273.2116,403.4706]],"vertex":[329.23,279.87]}],"canvas_size":[451,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0692","image_path":"images/angle_estimation_0692.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0692_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0692_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_0692_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0692_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0692_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":692}
-{"angle_1_degrees":103.121433,"angle_2_degrees":156.456685,"angles":[{"angle_degrees":103.121433,"arc_sweep_degrees":103.121433,"ray_endpoints":[[207.4879,288.0399],[70.6548,368.9547]],"vertex":[129.6,265.05]},{"angle_degrees":156.456685,"arc_sweep_degrees":156.456685,"ray_endpoints":[[316.1296,197.1045],[453.467,350.5911]],"vertex":[350.4,265.05]}],"canvas_size":[480,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0693","image_path":"images/angle_estimation_0693.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0693_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0693_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0693_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0693_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0693_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":693}
-{"angle_1_degrees":69.705543,"angle_2_degrees":30.477771,"angles":[{"angle_degrees":69.705543,"arc_sweep_degrees":69.705543,"ray_endpoints":[[52.5497,252.2362],[120.0202,134.5856]],"vertex":[133.38,273.6]},{"angle_degrees":30.477771,"arc_sweep_degrees":30.477771,"ray_endpoints":[[288.8219,244.8996],[274.5393,162.3602]],"vertex":[360.62,273.6]}],"canvas_size":[494,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0694","image_path":"images/angle_estimation_0694.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0694_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0694_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0694_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0694_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0694_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":694}
-{"angle_1_degrees":140.085062,"angle_2_degrees":34.486676,"angles":[{"angle_degrees":140.085062,"arc_sweep_degrees":140.085062,"ray_endpoints":[[115.6599,193.977],[218.1143,366.6262]],"vertex":[127.17,282.72]},{"angle_degrees":34.486676,"arc_sweep_degrees":34.486676,"ray_endpoints":[[262.3379,208.4119],[318.1591,172.8696]],"vertex":[343.83,282.72]}],"canvas_size":[471,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0695","image_path":"images/angle_estimation_0695.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0695_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0695_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0695_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0695_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0695_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":695}
-{"canvas_size":[460,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0696","image_path":"images/angle_estimation_0696.png","interior_angles_degrees":[90.283049,35.890616,53.826335],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0696_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0696_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0696_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0696_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0696_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":696,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.2512,374.1352],[405.0,374.1352],[55.0,120.8648]]}
-{"canvas_size":[458,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0697","image_path":"images/angle_estimation_0697.png","interior_angles_degrees":[90.600854,53.325452,36.073694],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0697_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0697_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0697_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0697_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0697_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":697,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[89.6855,450.0],[372.3521,450.0],[85.6479,65.0]]}
-{"canvas_size":[500,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0698","image_path":"images/angle_estimation_0698.png","interior_angles_degrees":[90.916559,32.362582,56.720859],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0698_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0698_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0698_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0698_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0698_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":698,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[58.9539,375.0722],[445.0,375.0722],[55.0,127.9278]]}
-{"canvas_size":[473,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0699","image_path":"images/angle_estimation_0699.png","interior_angles_degrees":[90.316014,35.437122,54.246865],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0699_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0699_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0699_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0699_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0699_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":699,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.4248,376.6624],[418.0,376.6624],[55.0,118.3376]]}
-{"canvas_size":[460,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0700","image_path":"images/angle_estimation_0700.png","interior_angles_degrees":[89.372885,41.80853,48.818585],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0700_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0700_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0700_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0700_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0700_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":700,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,400.9976],[405.0,400.9976],[58.3931,91.0024]]}
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-{"angle_degrees":292.810885,"arc_sweep_degrees":292.810885,"canvas_size":[457,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0708","image_path":"images/angle_estimation_0708.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0708_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_0708_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0708_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"113","question_id":"angle_estimation_0708_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0708_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[133.7575,386.0081],[290.0044,366.4259]],"scene_type":"single","seed":708,"vertex":[228.5,260.5]}
-{"angle_1_degrees":37.553024,"angle_2_degrees":89.42839,"angles":[{"angle_degrees":37.553024,"arc_sweep_degrees":37.553024,"ray_endpoints":[[128.5558,174.8894],[193.2214,196.7894]],"vertex":[130.68,281.58]},{"angle_degrees":89.42839,"arc_sweep_degrees":89.42839,"ray_endpoints":[[440.6466,323.0895],[292.882,412.0697]],"vertex":[353.32,281.58]}],"canvas_size":[484,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0709","image_path":"images/angle_estimation_0709.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0709_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0709_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0709_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0709_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0709_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":709}
-{"angle_1_degrees":78.665328,"angle_2_degrees":11.933541,"angles":[{"angle_degrees":78.665328,"arc_sweep_degrees":78.665328,"ray_endpoints":[[52.4142,224.6102],[182.2096,166.8118]],"vertex":[127.98,281.01]},{"angle_degrees":11.933541,"arc_sweep_degrees":11.933541,"ray_endpoints":[[426.267,215.9267],[460.2424,222.5348]],"vertex":[346.02,281.01]}],"canvas_size":[474,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0710","image_path":"images/angle_estimation_0710.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0710_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0710_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0710_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0710_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0710_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":710}
-{"angle_1_degrees":46.262005,"angle_2_degrees":141.986065,"angles":[{"angle_degrees":46.262005,"arc_sweep_degrees":46.262005,"ray_endpoints":[[78.0988,209.9048],[144.6584,159.0227]],"vertex":[132.03,274.17]},{"angle_degrees":141.986065,"arc_sweep_degrees":141.986065,"ray_endpoints":[[470.39,276.5347],[269.8144,339.4171]],"vertex":[356.97,274.17]}],"canvas_size":[489,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0711","image_path":"images/angle_estimation_0711.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0711_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0711_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_0711_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0711_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0711_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":711}
-{"angle_1_degrees":89.937959,"angle_2_degrees":23.534409,"angles":[{"angle_degrees":89.937959,"arc_sweep_degrees":89.937959,"ray_endpoints":[[100.5389,367.0708],[23.37,248.7481]],"vertex":[126.36,278.73]},{"angle_degrees":23.534409,"arc_sweep_degrees":23.534409,"ray_endpoints":[[373.9824,376.5518],[331.0593,394.1177]],"vertex":[341.64,278.73]}],"canvas_size":[468,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0712","image_path":"images/angle_estimation_0712.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0712_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0712_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0712_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0712_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0712_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":712}
-{"angle_1_degrees":74.489194,"angle_2_degrees":20.228488,"angles":[{"angle_degrees":74.489194,"arc_sweep_degrees":74.489194,"ray_endpoints":[[53.2003,362.5955],[18.1392,224.7613]],"vertex":[127.98,279.3]},{"angle_degrees":20.228488,"arc_sweep_degrees":20.228488,"ray_endpoints":[[444.8806,304.3689],[455.0634,354.1245]],"vertex":[346.02,279.3]}],"canvas_size":[474,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0713","image_path":"images/angle_estimation_0713.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0713_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0713_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0713_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0713_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0713_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":713}
-{"angle_1_degrees":74.584711,"angle_2_degrees":112.115329,"angles":[{"angle_degrees":74.584711,"arc_sweep_degrees":74.584711,"ray_endpoints":[[214.2993,238.0913],[203.9631,375.0909]],"vertex":[134.73,260.49]},{"angle_degrees":112.115329,"arc_sweep_degrees":112.115329,"ray_endpoints":[[450.8184,216.9741],[374.9192,393.498]],"vertex":[364.27,260.49]}],"canvas_size":[499,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0714","image_path":"images/angle_estimation_0714.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0714_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0714_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0714_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0714_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0714_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":714}
-{"angle_1_degrees":24.509261,"angle_2_degrees":107.293604,"angles":[{"angle_degrees":24.509261,"arc_sweep_degrees":24.509261,"ray_endpoints":[[111.9132,171.4968],[160.2999,125.1028]],"vertex":[130.14,258.78]},{"angle_degrees":107.293604,"arc_sweep_degrees":107.293604,"ray_endpoints":[[266.4688,224.6526],[432.751,159.1662]],"vertex":[351.86,258.78]}],"canvas_size":[482,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0715","image_path":"images/angle_estimation_0715.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0715_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0715_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0715_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0715_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0715_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":715}
-{"canvas_size":[460,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0716","image_path":"images/angle_estimation_0716.png","interior_angles_degrees":[108.492173,34.961905,36.545922],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0716_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0716_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0716_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0716_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0716_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":716,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[136.847,376.863],[405.0,376.863],[55.0,132.137]]}
-{"canvas_size":[465,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0717","image_path":"images/angle_estimation_0717.png","interior_angles_degrees":[130.33649,22.217401,27.44611],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0717_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0717_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0717_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0717_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0717_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":717,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[178.1266,333.9993],[410.0,333.9993],[55.0,189.0007]]}
-{"canvas_size":[466,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0718","image_path":"images/angle_estimation_0718.png","interior_angles_degrees":[134.994383,19.12169,25.883928],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0718_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0718_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0718_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0718_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0718_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":718,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[178.4028,325.7135],[411.0,325.7135],[55.0,202.2865]]}
-{"canvas_size":[467,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0719","image_path":"images/angle_estimation_0719.png","interior_angles_degrees":[105.66807,34.504828,39.827102],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0719_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0719_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0719_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0719_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0719_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":719,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[123.8323,384.7018],[412.0,384.7018],[55.0,139.2982]]}
-{"canvas_size":[497,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0720","image_path":"images/angle_estimation_0720.png","interior_angles_degrees":[106.105035,43.499869,30.395097],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0720_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0720_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0720_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0720_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0720_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":720,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[162.9998,424.0],[437.6544,424.0],[59.3456,65.0]]}
-{"angle_degrees":150.694465,"arc_sweep_degrees":150.694465,"canvas_size":[459,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0721","image_path":"images/angle_estimation_0721.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0721_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_0721_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0721_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"29","question_id":"angle_estimation_0721_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0721_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[388.048,222.085],[137.2117,345.3242]],"scene_type":"single","seed":721,"vertex":[229.5,260.0]}
-{"angle_degrees":61.545372,"arc_sweep_degrees":61.545372,"canvas_size":[489,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0722","image_path":"images/angle_estimation_0722.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0722_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_0722_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0722_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"118","question_id":"angle_estimation_0722_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0722_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[219.4326,396.9728],[114.3599,301.6803]],"scene_type":"single","seed":722,"vertex":[244.5,259.0]}
-{"angle_degrees":79.495404,"arc_sweep_degrees":79.495404,"canvas_size":[484,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0723","image_path":"images/angle_estimation_0723.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0723_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_0723_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0723_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"101","question_id":"angle_estimation_0723_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0723_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[253.2358,108.2919],[361.6887,230.5134]],"scene_type":"single","seed":723,"vertex":[242.0,242.5]}
-{"angle_degrees":253.927554,"arc_sweep_degrees":253.927554,"canvas_size":[496,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0724","image_path":"images/angle_estimation_0724.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0724_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_0724_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0724_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"74","question_id":"angle_estimation_0724_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0724_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[302.0801,96.8694],[131.1205,238.1139]],"scene_type":"single","seed":724,"vertex":[248.0,246.0]}
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-{"angle_degrees":300.978414,"arc_sweep_degrees":300.978414,"canvas_size":[452,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0728","image_path":"images/angle_estimation_0728.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0728_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_0728_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0728_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"121","question_id":"angle_estimation_0728_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0728_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[350.7767,352.0294],[356.3358,203.4969]],"scene_type":"single","seed":728,"vertex":[226.0,251.0]}
-{"angle_1_degrees":48.968627,"angle_2_degrees":35.480986,"angles":[{"angle_degrees":48.968627,"arc_sweep_degrees":48.968627,"ray_endpoints":[[165.9352,355.4287],[65.1435,393.2285]],"vertex":[133.38,267.9]},{"angle_degrees":35.480986,"arc_sweep_degrees":35.480986,"ray_endpoints":[[440.3475,271.3006],[446.9742,335.1814]],"vertex":[360.62,267.9]}],"canvas_size":[494,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0729","image_path":"images/angle_estimation_0729.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0729_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0729_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0729_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0729_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0729_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":729}
-{"angle_1_degrees":142.904133,"angle_2_degrees":47.51509,"angles":[{"angle_degrees":142.904133,"arc_sweep_degrees":142.904133,"ray_endpoints":[[186.7324,179.5428],[127.7755,391.1271]],"vertex":[126.63,260.49]},{"angle_degrees":47.51509,"arc_sweep_degrees":47.51509,"ray_endpoints":[[291.2946,181.64],[378.0032,123.5135]],"vertex":[342.37,260.49]}],"canvas_size":[469,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0730","image_path":"images/angle_estimation_0730.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0730_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0730_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_0730_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0730_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0730_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":730}
-{"angle_1_degrees":121.743967,"angle_2_degrees":153.352936,"angles":[{"angle_degrees":121.743967,"arc_sweep_degrees":121.743967,"ray_endpoints":[[27.8579,298.6732],[161.8872,116.6391]],"vertex":[133.92,258.78]},{"angle_degrees":153.352936,"arc_sweep_degrees":153.352936,"ray_endpoints":[[261.0527,242.2868],[481.7322,221.3405]],"vertex":[362.08,258.78]}],"canvas_size":[496,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0731","image_path":"images/angle_estimation_0731.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0731_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0731_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0731_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0731_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0731_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":731}
-{"angle_1_degrees":30.850251,"angle_2_degrees":47.219972,"angles":[{"angle_degrees":30.850251,"arc_sweep_degrees":30.850251,"ray_endpoints":[[99.8244,328.944],[19.8681,334.9857]],"vertex":[132.84,260.49]},{"angle_degrees":47.219972,"arc_sweep_degrees":47.219972,"ray_endpoints":[[373.1328,148.7229],[461.9506,186.7524]],"vertex":[359.16,260.49]}],"canvas_size":[492,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0732","image_path":"images/angle_estimation_0732.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0732_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0732_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0732_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0732_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0732_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":732}
-{"angle_1_degrees":45.332733,"angle_2_degrees":140.741273,"angles":[{"angle_degrees":45.332733,"arc_sweep_degrees":45.332733,"ray_endpoints":[[42.7046,351.283],[15.7386,268.7534]],"vertex":[128.52,279.3]},{"angle_degrees":140.741273,"arc_sweep_degrees":140.741273,"ray_endpoints":[[385.2986,180.1747],[389.8405,406.8208]],"vertex":[347.48,279.3]}],"canvas_size":[476,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0733","image_path":"images/angle_estimation_0733.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0733_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0733_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_0733_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0733_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0733_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":733}
-{"angle_1_degrees":136.041242,"angle_2_degrees":158.392446,"angles":[{"angle_degrees":136.041242,"arc_sweep_degrees":136.041242,"ray_endpoints":[[179.5122,177.6277],[173.7367,402.1812]],"vertex":[133.11,268.47]},{"angle_degrees":158.392446,"arc_sweep_degrees":158.392446,"ray_endpoints":[[435.1752,250.3586],[262.2948,337.1481]],"vertex":[359.89,268.47]}],"canvas_size":[493,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0734","image_path":"images/angle_estimation_0734.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0734_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0734_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0734_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0734_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0734_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":734}
-{"angle_1_degrees":13.621544,"angle_2_degrees":87.997579,"angles":[{"angle_degrees":13.621544,"arc_sweep_degrees":13.621544,"ray_endpoints":[[146.1102,185.513],[176.5383,165.4349]],"vertex":[128.79,261.06]},{"angle_degrees":87.997579,"arc_sweep_degrees":87.997579,"ray_endpoints":[[286.8503,310.3701],[260.7541,159.7006]],"vertex":[348.21,261.06]}],"canvas_size":[477,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0735","image_path":"images/angle_estimation_0735.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0735_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0735_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0735_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0735_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0735_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":735}
-{"canvas_size":[466,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0736","image_path":"images/angle_estimation_0736.png","interior_angles_degrees":[72.25901,43.264915,64.476076],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0736_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0736_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0736_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0736_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0736_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":736,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,370.761],[411.0,370.761],[137.3888,113.239]]}
-{"canvas_size":[450,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0737","image_path":"images/angle_estimation_0737.png","interior_angles_degrees":[48.216614,49.947422,81.835964],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0737_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0737_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0737_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0737_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0737_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":737,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,356.0253],[395.0,356.0253],[230.1872,159.9747]]}
-{"canvas_size":[460,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0738","image_path":"images/angle_estimation_0738.png","interior_angles_degrees":[47.247337,80.001015,52.751648],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0738_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0738_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0738_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0738_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0738_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":738,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,401.4774],[405.0,401.4774],[348.9418,83.5226]]}
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-{"canvas_size":[486,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0740","image_path":"images/angle_estimation_0740.png","interior_angles_degrees":[69.800541,50.225456,59.974003],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0740_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0740_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0740_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0740_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0740_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":740,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,421.1231],[431.0,421.1231],[170.2488,107.8769]]}
-{"angle_degrees":256.408972,"arc_sweep_degrees":256.408972,"canvas_size":[464,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0741","image_path":"images/angle_estimation_0741.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0741_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_0741_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0741_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"76","question_id":"angle_estimation_0741_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0741_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[158.4371,355.8232],[352.6367,302.5403]],"scene_type":"single","seed":741,"vertex":[232.0,253.5]}
-{"angle_degrees":56.644651,"arc_sweep_degrees":56.644651,"canvas_size":[476,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0742","image_path":"images/angle_estimation_0742.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0742_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_0742_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0742_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"123","question_id":"angle_estimation_0742_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0742_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[110.1897,160.3669],[239.6078,98.2161]],"scene_type":"single","seed":742,"vertex":[238.0,246.5]}
-{"angle_degrees":208.281734,"arc_sweep_degrees":208.281734,"canvas_size":[494,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0743","image_path":"images/angle_estimation_0743.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0743_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_0743_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0743_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"28","question_id":"angle_estimation_0743_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0743_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[230.3554,120.0617],[201.4168,366.2965]],"scene_type":"single","seed":743,"vertex":[247.0,246.0]}
-{"angle_degrees":192.695619,"arc_sweep_degrees":192.695619,"canvas_size":[469,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0744","image_path":"images/angle_estimation_0744.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0744_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0744_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0744_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"13","question_id":"angle_estimation_0744_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0744_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[376.2862,264.1449],[126.5595,235.9616]],"scene_type":"single","seed":744,"vertex":[234.5,262.0]}
-{"angle_degrees":179.999994,"arc_sweep_degrees":179.999994,"canvas_size":[464,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0745","image_path":"images/angle_estimation_0745.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0745_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_0745_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0745_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_0745_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0745_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[315.4294,386.5495],[143.0152,122.9572]],"scene_type":"single","seed":745,"vertex":[232.0,259.0]}
-{"angle_degrees":63.549561,"arc_sweep_degrees":63.549561,"canvas_size":[477,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0746","image_path":"images/angle_estimation_0746.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0746_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_0746_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0746_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"116","question_id":"angle_estimation_0746_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0746_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[224.4875,89.0732],[357.1275,180.7706]],"scene_type":"single","seed":746,"vertex":[238.5,253.0]}
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-{"angle_degrees":332.882053,"arc_sweep_degrees":332.882053,"canvas_size":[454,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0748","image_path":"images/angle_estimation_0748.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0748_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_0748_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0748_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"153","question_id":"angle_estimation_0748_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0748_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[158.2638,364.7351],[222.0098,370.5164]],"scene_type":"single","seed":748,"vertex":[227.0,242.5]}
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-{"angle_1_degrees":102.612212,"angle_2_degrees":155.102728,"angles":[{"angle_degrees":102.612212,"arc_sweep_degrees":102.612212,"ray_endpoints":[[61.0768,315.6991],[79.1989,147.8433]],"vertex":[126.9,271.89]},{"angle_degrees":155.102728,"arc_sweep_degrees":155.102728,"ray_endpoints":[[420.2977,224.6212],[283.7007,361.2145]],"vertex":[343.1,271.89]}],"canvas_size":[470,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0750","image_path":"images/angle_estimation_0750.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0750_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0750_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0750_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0750_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0750_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":750}
-{"angle_1_degrees":60.908392,"angle_2_degrees":16.971123,"angles":[{"angle_degrees":60.908392,"arc_sweep_degrees":60.908392,"ray_endpoints":[[29.8082,299.9014],[65.0742,195.2242]],"vertex":[134.46,282.72]},{"angle_degrees":16.971123,"arc_sweep_degrees":16.971123,"ray_endpoints":[[318.8351,185.555],[345.2447,148.0369]],"vertex":[363.54,282.72]}],"canvas_size":[498,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0751","image_path":"images/angle_estimation_0751.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0751_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0751_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0751_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0751_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0751_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":751}
-{"angle_1_degrees":16.133961,"angle_2_degrees":155.629662,"angles":[{"angle_degrees":16.133961,"arc_sweep_degrees":16.133961,"ray_endpoints":[[119.2642,192.6646],[151.0942,153.2742]],"vertex":[130.41,282.72]},{"angle_degrees":155.629662,"arc_sweep_degrees":155.629662,"ray_endpoints":[[347.8747,171.8932],[405.4851,387.4045]],"vertex":[352.59,282.72]}],"canvas_size":[483,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0752","image_path":"images/angle_estimation_0752.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0752_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0752_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_0752_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0752_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0752_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":752}
-{"angle_1_degrees":116.038816,"angle_2_degrees":35.296997,"angles":[{"angle_degrees":116.038816,"arc_sweep_degrees":116.038816,"ray_endpoints":[[225.7978,300.7185],[41.4948,363.073]],"vertex":[134.46,269.61]},{"angle_degrees":35.296997,"arc_sweep_degrees":35.296997,"ray_endpoints":[[327.1107,164.8111],[397.7651,151.2589]],"vertex":[363.54,269.61]}],"canvas_size":[498,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0753","image_path":"images/angle_estimation_0753.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0753_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0753_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0753_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0753_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0753_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":753}
-{"angle_1_degrees":29.425685,"angle_2_degrees":49.580137,"angles":[{"angle_degrees":29.425685,"arc_sweep_degrees":29.425685,"ray_endpoints":[[87.6355,185.8779],[140.9298,175.882]],"vertex":[124.47,283.29]},{"angle_degrees":49.580137,"arc_sweep_degrees":49.580137,"ray_endpoints":[[312.4401,207.7549],[406.2117,171.3044]],"vertex":[336.53,283.29]}],"canvas_size":[461,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0754","image_path":"images/angle_estimation_0754.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0754_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0754_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0754_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0754_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0754_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":754}
-{"angle_1_degrees":44.249368,"angle_2_degrees":125.261318,"angles":[{"angle_degrees":44.249368,"arc_sweep_degrees":44.249368,"ray_endpoints":[[84.7158,211.2678],[146.0586,137.8983]],"vertex":[130.41,270.75]},{"angle_degrees":125.261318,"arc_sweep_degrees":125.261318,"ray_endpoints":[[416.0318,203.3843],[375.8517,385.5268]],"vertex":[352.59,270.75]}],"canvas_size":[483,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0755","image_path":"images/angle_estimation_0755.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0755_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0755_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0755_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0755_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0755_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":755}
-{"canvas_size":[479,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0756","image_path":"images/angle_estimation_0756.png","interior_angles_degrees":[90.237329,42.703371,47.0593],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0756_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0756_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0756_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0756_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0756_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":756,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.4106,418.7718],[424.0,418.7718],[55.0,78.2282]]}
-{"canvas_size":[475,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0757","image_path":"images/angle_estimation_0757.png","interior_angles_degrees":[89.318123,51.702952,38.978925],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0757_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0757_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0757_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0757_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0757_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":757,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[83.5985,449.0],[391.4015,449.0],[88.1687,65.0]]}
-{"canvas_size":[471,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0758","image_path":"images/angle_estimation_0758.png","interior_angles_degrees":[90.068623,39.340306,50.591071],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0758_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0758_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0758_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0758_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0758_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":758,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.3544,389.9497],[416.0,389.9497],[55.0,94.0503]]}
-{"canvas_size":[453,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0759","image_path":"images/angle_estimation_0759.png","interior_angles_degrees":[90.948919,52.131122,36.919959],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0759_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0759_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0759_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0759_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0759_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":759,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[83.5598,449.0],[375.8005,449.0],[77.1995,65.0]]}
-{"canvas_size":[458,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0760","image_path":"images/angle_estimation_0760.png","interior_angles_degrees":[89.130957,24.018492,66.850551],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0760_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0760_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0760_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0760_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0760_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":760,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,320.0165],[403.0,320.0165],[57.3365,165.9835]]}
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-{"angle_degrees":165.236642,"arc_sweep_degrees":165.236642,"canvas_size":[455,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0768","image_path":"images/angle_estimation_0768.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0768_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_0768_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0768_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"15","question_id":"angle_estimation_0768_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0768_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[383.155,177.0905],[100.0198,345.8012]],"scene_type":"single","seed":768,"vertex":[227.5,245.0]}
-{"angle_1_degrees":107.652767,"angle_2_degrees":26.311726,"angles":[{"angle_degrees":107.652767,"arc_sweep_degrees":107.652767,"ray_endpoints":[[28.1692,237.5096],[177.8897,173.5861]],"vertex":[121.5,262.2]},{"angle_degrees":26.311726,"arc_sweep_degrees":26.311726,"ray_endpoints":[[253.2794,230.8597],[257.8081,181.0771]],"vertex":[328.5,262.2]}],"canvas_size":[450,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0769","image_path":"images/angle_estimation_0769.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0769_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0769_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0769_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0769_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0769_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":769}
-{"angle_1_degrees":15.602033,"angle_2_degrees":62.551543,"angles":[{"angle_degrees":15.602033,"arc_sweep_degrees":15.602033,"ray_endpoints":[[72.4251,181.3645],[83.1899,130.5149]],"vertex":[127.98,262.77]},{"angle_degrees":62.551543,"arc_sweep_degrees":62.551543,"ray_endpoints":[[263.5356,201.7986],[368.0959,123.7475]],"vertex":[346.02,262.77]}],"canvas_size":[474,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0770","image_path":"images/angle_estimation_0770.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0770_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0770_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0770_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0770_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0770_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":770}
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-{"angle_1_degrees":33.41528,"angle_2_degrees":86.443028,"angles":[{"angle_degrees":33.41528,"arc_sweep_degrees":33.41528,"ray_endpoints":[[158.8044,354.6651],[102.6167,407.5132]],"vertex":[123.12,276.45]},{"angle_degrees":86.443028,"arc_sweep_degrees":86.443028,"ray_endpoints":[[419.4122,260.0291],[365.5831,404.7305]],"vertex":[332.88,276.45]}],"canvas_size":[456,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0772","image_path":"images/angle_estimation_0772.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0772_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0772_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0772_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0772_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0772_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":772}
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-{"angle_1_degrees":153.133573,"angle_2_degrees":27.642289,"angles":[{"angle_degrees":153.133573,"arc_sweep_degrees":153.133573,"ray_endpoints":[[211.5285,214.1723],[49.29,360.5087]],"vertex":[126.63,256.5]},{"angle_degrees":27.642289,"arc_sweep_degrees":27.642289,"ray_endpoints":[[389.3784,316.6636],[363.3371,371.1945]],"vertex":[342.37,256.5]}],"canvas_size":[469,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0774","image_path":"images/angle_estimation_0774.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0774_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0774_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_0774_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0774_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0774_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":774}
-{"angle_1_degrees":150.993108,"angle_2_degrees":112.286275,"angles":[{"angle_degrees":150.993108,"arc_sweep_degrees":150.993108,"ray_endpoints":[[93.0821,156.4681],[221.8976,336.8058]],"vertex":[129.87,257.07]},{"angle_degrees":112.286275,"arc_sweep_degrees":112.286275,"ray_endpoints":[[381.0655,160.2243],[459.7982,346.5311]],"vertex":[351.13,257.07]}],"canvas_size":[481,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0775","image_path":"images/angle_estimation_0775.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0775_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0775_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0775_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0775_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0775_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":775}
-{"canvas_size":[478,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0776","image_path":"images/angle_estimation_0776.png","interior_angles_degrees":[127.166193,18.598198,34.235608],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0776_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0776_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0776_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0776_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0776_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":776,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[148.8791,326.9164],[423.0,326.9164],[55.0,203.0836]]}
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-{"canvas_size":[462,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0780","image_path":"images/angle_estimation_0780.png","interior_angles_degrees":[133.13964,23.178408,23.681952],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0780_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0780_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0780_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0780_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0780_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":780,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[196.228,337.8552],[407.0,337.8552],[55.0,187.1448]]}
-{"angle_degrees":146.768858,"arc_sweep_degrees":146.768858,"canvas_size":[463,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0781","image_path":"images/angle_estimation_0781.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0781_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_0781_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0781_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"33","question_id":"angle_estimation_0781_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0781_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[214.7439,413.4172],[169.5525,125.8344]],"scene_type":"single","seed":781,"vertex":[231.5,244.5]}
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-{"angle_degrees":327.494877,"arc_sweep_degrees":327.494877,"canvas_size":[487,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0788","image_path":"images/angle_estimation_0788.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0788_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_0788_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0788_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"147","question_id":"angle_estimation_0788_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0788_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[171.2401,149.4418],[126.4491,203.9287]],"scene_type":"single","seed":788,"vertex":[243.5,252.0]}
-{"angle_1_degrees":69.664164,"angle_2_degrees":31.846152,"angles":[{"angle_degrees":69.664164,"arc_sweep_degrees":69.664164,"ray_endpoints":[[223.88,275.7404],[185.2595,405.8531]],"vertex":[129.6,282.15]},{"angle_degrees":31.846152,"arc_sweep_degrees":31.846152,"ray_endpoints":[[298.6391,211.4137],[339.4493,138.139]],"vertex":[350.4,282.15]}],"canvas_size":[480,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0789","image_path":"images/angle_estimation_0789.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0789_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0789_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0789_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0789_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0789_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":789}
-{"angle_1_degrees":56.479788,"angle_2_degrees":129.345864,"angles":[{"angle_degrees":56.479788,"arc_sweep_degrees":56.479788,"ray_endpoints":[[124.4549,376.8941],[19.9502,344.3782]],"vertex":[132.3,282.72]},{"angle_degrees":129.345864,"arc_sweep_degrees":129.345864,"ray_endpoints":[[432.0014,301.1688],[264.035,352.5606]],"vertex":[357.7,282.72]}],"canvas_size":[490,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0790","image_path":"images/angle_estimation_0790.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0790_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0790_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0790_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0790_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0790_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":790}
-{"angle_1_degrees":105.066145,"angle_2_degrees":43.041721,"angles":[{"angle_degrees":105.066145,"arc_sweep_degrees":105.066145,"ray_endpoints":[[51.6976,255.5102],[176.5259,150.5526]],"vertex":[133.11,263.91]},{"angle_degrees":43.041721,"arc_sweep_degrees":43.041721,"ray_endpoints":[[335.123,370.6837],[271.7685,323.123]],"vertex":[359.89,263.91]}],"canvas_size":[493,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0791","image_path":"images/angle_estimation_0791.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0791_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0791_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0791_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0791_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0791_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":791}
-{"angle_1_degrees":19.318103,"angle_2_degrees":77.279438,"angles":[{"angle_degrees":19.318103,"arc_sweep_degrees":19.318103,"ray_endpoints":[[124.4291,354.1856],[78.3801,392.6708]],"vertex":[131.22,275.31]},{"angle_degrees":77.279438,"arc_sweep_degrees":77.279438,"ray_endpoints":[[423.7582,329.1525],[298.9331,393.7006]],"vertex":[354.78,275.31]}],"canvas_size":[486,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0792","image_path":"images/angle_estimation_0792.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0792_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0792_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0792_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0792_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0792_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":792}
-{"angle_1_degrees":121.409485,"angle_2_degrees":50.963866,"angles":[{"angle_degrees":121.409485,"arc_sweep_degrees":121.409485,"ray_endpoints":[[41.9745,307.4334],[171.8594,147.9762]],"vertex":[132.03,283.29]},{"angle_degrees":50.963866,"arc_sweep_degrees":50.963866,"ray_endpoints":[[261.7055,249.5277],[311.3345,154.5729]],"vertex":[356.97,283.29]}],"canvas_size":[489,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0793","image_path":"images/angle_estimation_0793.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0793_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0793_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0793_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0793_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0793_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":793}
-{"angle_1_degrees":93.468334,"angle_2_degrees":59.009387,"angles":[{"angle_degrees":93.468334,"arc_sweep_degrees":93.468334,"ray_endpoints":[[33.9476,201.9477],[212.1906,146.5546]],"vertex":[126.63,262.2]},{"angle_degrees":59.009387,"arc_sweep_degrees":59.009387,"ray_endpoints":[[343.1051,154.734],[435.381,207.1963]],"vertex":[342.37,262.2]}],"canvas_size":[469,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0794","image_path":"images/angle_estimation_0794.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0794_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0794_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0794_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0794_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0794_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":794}
-{"angle_1_degrees":60.011757,"angle_2_degrees":32.675759,"angles":[{"angle_degrees":60.011757,"arc_sweep_degrees":60.011757,"ray_endpoints":[[19.3088,269.8811],[70.0047,165.004]],"vertex":[128.25,273.03]},{"angle_degrees":32.675759,"arc_sweep_degrees":32.675759,"ray_endpoints":[[361.7924,377.4908],[302.0725,371.1499]],"vertex":[346.75,273.03]}],"canvas_size":[475,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0795","image_path":"images/angle_estimation_0795.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0795_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0795_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0795_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0795_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0795_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":795}
-{"canvas_size":[485,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0796","image_path":"images/angle_estimation_0796.png","interior_angles_degrees":[62.390155,48.959792,68.650053],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0796_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0796_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0796_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0796_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0796_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":796,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,388.5508],[430.0,388.5508],[195.7418,119.4492]]}
-{"canvas_size":[488,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0797","image_path":"images/angle_estimation_0797.png","interior_angles_degrees":[57.82547,62.660309,59.51422],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0797_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0797_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0797_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0797_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0797_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":797,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,417.4029],[433.0,417.4029],[262.4851,87.5971]]}
-{"canvas_size":[476,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0798","image_path":"images/angle_estimation_0798.png","interior_angles_degrees":[55.465706,69.843027,54.691267],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0798_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0798_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0798_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0798_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0798_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":798,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,421.9205],[421.0,421.9205],[293.683,75.0795]]}
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-{"canvas_size":[492,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0800","image_path":"images/angle_estimation_0800.png","interior_angles_degrees":[49.029534,82.320631,48.649834],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0800_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0800_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0800_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0800_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0800_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":800,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,445.8868],[437.0,445.8868],[385.657,65.1132]]}
-{"angle_degrees":130.803212,"arc_sweep_degrees":130.803212,"canvas_size":[456,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0801","image_path":"images/angle_estimation_0801.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0801_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_0801_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0801_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"49","question_id":"angle_estimation_0801_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0801_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[63.0001,247.2049],[313.6599,139.6487]],"scene_type":"single","seed":801,"vertex":[228.0,243.5]}
-{"angle_degrees":197.219256,"arc_sweep_degrees":197.219256,"canvas_size":[485,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0802","image_path":"images/angle_estimation_0802.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0802_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0802_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0802_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"17","question_id":"angle_estimation_0802_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0802_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[298.5287,370.8064],[229.1251,118.5402]],"scene_type":"single","seed":802,"vertex":[242.5,241.5]}
-{"angle_degrees":148.317282,"arc_sweep_degrees":148.317282,"canvas_size":[456,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0803","image_path":"images/angle_estimation_0803.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0803_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_0803_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0803_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"32","question_id":"angle_estimation_0803_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0803_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[236.4081,379.5451],[133.5409,108.5638]],"scene_type":"single","seed":803,"vertex":[228.0,242.5]}
-{"angle_degrees":166.503398,"arc_sweep_degrees":166.503398,"canvas_size":[480,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0804","image_path":"images/angle_estimation_0804.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0804_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_0804_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0804_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"13","question_id":"angle_estimation_0804_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0804_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[399.118,326.2112],[87.0385,232.7517]],"scene_type":"single","seed":804,"vertex":[240.0,258.5]}
-{"angle_degrees":30.000008,"arc_sweep_degrees":30.000008,"canvas_size":[481,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0805","image_path":"images/angle_estimation_0805.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0805_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_0805_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0805_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_0805_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0805_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[83.7787,277.7375],[137.3921,210.7938]],"scene_type":"single","seed":805,"vertex":[240.5,244.0]}
-{"angle_degrees":202.621296,"arc_sweep_degrees":202.621296,"canvas_size":[479,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0806","image_path":"images/angle_estimation_0806.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0806_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_0806_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0806_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"23","question_id":"angle_estimation_0806_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0806_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[191.4758,381.1558],[332.6998,129.9608]],"scene_type":"single","seed":806,"vertex":[239.5,237.0]}
-{"angle_degrees":43.977802,"arc_sweep_degrees":43.977802,"canvas_size":[473,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0807","image_path":"images/angle_estimation_0807.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0807_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_0807_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0807_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"136","question_id":"angle_estimation_0807_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0807_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[295.31,380.089],[189.6845,406.389]],"scene_type":"single","seed":807,"vertex":[236.5,260.5]}
-{"angle_degrees":230.987379,"arc_sweep_degrees":230.987379,"canvas_size":[473,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0808","image_path":"images/angle_estimation_0808.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0808_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_0808_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0808_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"51","question_id":"angle_estimation_0808_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0808_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[385.3187,189.472],[121.0399,188.2448]],"scene_type":"single","seed":808,"vertex":[236.5,251.0]}
-{"angle_1_degrees":39.856113,"angle_2_degrees":137.164991,"angles":[{"angle_degrees":39.856113,"arc_sweep_degrees":39.856113,"ray_endpoints":[[108.2019,368.2245],[24.8105,357.832]],"vertex":[122.31,270.18]},{"angle_degrees":137.164991,"arc_sweep_degrees":137.164991,"ray_endpoints":[[335.5607,180.7312],[417.7866,375.0206]],"vertex":[330.69,270.18]}],"canvas_size":[453,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0809","image_path":"images/angle_estimation_0809.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0809_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0809_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_0809_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0809_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0809_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":809}
-{"angle_1_degrees":140.59781,"angle_2_degrees":112.850814,"angles":[{"angle_degrees":140.59781,"arc_sweep_degrees":140.59781,"ray_endpoints":[[55.8286,312.6199],[195.1746,150.964]],"vertex":[133.65,277.02]},{"angle_degrees":112.850814,"arc_sweep_degrees":112.850814,"ray_endpoints":[[344.3988,352.8614],[261.3431,205.8178]],"vertex":[361.35,277.02]}],"canvas_size":[495,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0810","image_path":"images/angle_estimation_0810.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0810_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0810_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0810_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0810_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0810_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":810}
-{"angle_1_degrees":72.277115,"angle_2_degrees":26.208064,"angles":[{"angle_degrees":72.277115,"arc_sweep_degrees":72.277115,"ray_endpoints":[[45.781,262.7289],[79.0967,125.6094]],"vertex":[122.85,262.77]},{"angle_degrees":26.208064,"arc_sweep_degrees":26.208064,"ray_endpoints":[[256.2675,242.5211],[244.6404,186.2985]],"vertex":[332.15,262.77]}],"canvas_size":[455,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0811","image_path":"images/angle_estimation_0811.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0811_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0811_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0811_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0811_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0811_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":811}
-{"angle_1_degrees":66.285139,"angle_2_degrees":113.206982,"angles":[{"angle_degrees":66.285139,"arc_sweep_degrees":66.285139,"ray_endpoints":[[157.8644,372.2695],[16.4683,369.7217]],"vertex":[122.04,270.75]},{"angle_degrees":113.206982,"arc_sweep_degrees":113.206982,"ray_endpoints":[[422.9185,314.7518],[238.7892,351.3049]],"vertex":[329.96,270.75]}],"canvas_size":[452,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0812","image_path":"images/angle_estimation_0812.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0812_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0812_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0812_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0812_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0812_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":812}
-{"angle_1_degrees":138.02916,"angle_2_degrees":128.14783,"angles":[{"angle_degrees":138.02916,"arc_sweep_degrees":138.02916,"ray_endpoints":[[213.2217,194.2462],[96.5819,374.5349]],"vertex":[123.66,257.07]},{"angle_degrees":128.14783,"arc_sweep_degrees":128.14783,"ray_endpoints":[[439.8351,275.2764],[246.3284,336.4844]],"vertex":[334.34,257.07]}],"canvas_size":[458,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0813","image_path":"images/angle_estimation_0813.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0813_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0813_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0813_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0813_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0813_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":813}
-{"angle_1_degrees":47.094539,"angle_2_degrees":37.512921,"angles":[{"angle_degrees":47.094539,"arc_sweep_degrees":47.094539,"ray_endpoints":[[70.6766,199.9146],[136.5543,131.7668]],"vertex":[131.76,261.06]},{"angle_degrees":37.512921,"arc_sweep_degrees":37.512921,"ray_endpoints":[[263.4719,247.4143],[257.4793,159.2151]],"vertex":[356.24,261.06]}],"canvas_size":[488,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0814","image_path":"images/angle_estimation_0814.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0814_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0814_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0814_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0814_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0814_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":814}
-{"angle_1_degrees":85.923488,"angle_2_degrees":94.252545,"angles":[{"angle_degrees":85.923488,"arc_sweep_degrees":85.923488,"ray_endpoints":[[193.8976,236.7565],[181.2393,386.1246]],"vertex":[121.5,266.76]},{"angle_degrees":94.252545,"arc_sweep_degrees":94.252545,"ray_endpoints":[[269.086,217.8287],[413.3934,178.0055]],"vertex":[328.5,266.76]}],"canvas_size":[450,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0815","image_path":"images/angle_estimation_0815.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0815_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0815_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0815_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0815_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0815_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":815}
-{"canvas_size":[460,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0816","image_path":"images/angle_estimation_0816.png","interior_angles_degrees":[89.805201,36.393044,53.801755],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0816_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0816_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0816_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0816_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0816_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":816,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,387.6659],[405.0,387.6659],[55.8749,130.3341]]}
-{"canvas_size":[458,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0817","image_path":"images/angle_estimation_0817.png","interior_angles_degrees":[90.732559,36.827726,52.439715],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0817_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0817_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0817_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0817_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0817_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":817,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[58.3321,389.3],[403.0,389.3],[55.0,128.7]]}
-{"canvas_size":[480,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0818","image_path":"images/angle_estimation_0818.png","interior_angles_degrees":[90.07353,48.95167,40.9748],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0818_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0818_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0818_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0818_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0818_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":818,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[73.3052,449.0],[407.1876,449.0],[72.8124,65.0]]}
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-{"canvas_size":[463,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0820","image_path":"images/angle_estimation_0820.png","interior_angles_degrees":[89.979635,43.155876,46.864488],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0820_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0820_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0820_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0820_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0820_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":820,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,415.9338],[408.0,415.9338],[55.1176,85.0662]]}
-{"angle_degrees":344.556733,"arc_sweep_degrees":344.556733,"canvas_size":[486,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0821","image_path":"images/angle_estimation_0821.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0821_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_0821_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0821_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"165","question_id":"angle_estimation_0821_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0821_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[259.9897,396.6824],[291.278,374.6149]],"scene_type":"single","seed":821,"vertex":[243.0,257.5]}
-{"angle_degrees":119.99932,"arc_sweep_degrees":119.99932,"canvas_size":[457,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0822","image_path":"images/angle_estimation_0822.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0822_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_0822_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0822_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"60","question_id":"angle_estimation_0822_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0822_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[223.0354,88.1846],[336.8399,307.2489]],"scene_type":"single","seed":822,"vertex":[228.5,249.5]}
-{"angle_degrees":306.020094,"arc_sweep_degrees":306.020094,"canvas_size":[471,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0823","image_path":"images/angle_estimation_0823.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0823_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_0823_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0823_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"126","question_id":"angle_estimation_0823_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0823_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[251.5765,123.8699],[154.6427,180.712]],"scene_type":"single","seed":823,"vertex":[235.5,256.0]}
-{"angle_degrees":60.277425,"arc_sweep_degrees":60.277425,"canvas_size":[491,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0824","image_path":"images/angle_estimation_0824.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0824_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_0824_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0824_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_0824_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0824_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[381.6954,302.9994],[270.2653,371.9385]],"scene_type":"single","seed":824,"vertex":[245.5,261.0]}
-{"angle_degrees":179.999985,"arc_sweep_degrees":179.999985,"canvas_size":[467,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0825","image_path":"images/angle_estimation_0825.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0825_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_0825_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0825_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_0825_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0825_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[339.3094,348.6907],[117.6476,157.6539]],"scene_type":"single","seed":825,"vertex":[233.5,257.5]}
-{"angle_degrees":226.896176,"arc_sweep_degrees":226.896176,"canvas_size":[485,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0826","image_path":"images/angle_estimation_0826.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0826_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_0826_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0826_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"47","question_id":"angle_estimation_0826_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0826_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[298.5543,399.9391],[308.9474,118.0682]],"scene_type":"single","seed":826,"vertex":[242.5,262.0]}
-{"angle_degrees":25.700343,"arc_sweep_degrees":25.700343,"canvas_size":[472,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0827","image_path":"images/angle_estimation_0827.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0827_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_0827_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0827_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"154","question_id":"angle_estimation_0827_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0827_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[284.6549,104.0681],[345.9703,134.3115]],"scene_type":"single","seed":827,"vertex":[236.0,245.5]}
-{"angle_degrees":255.965702,"arc_sweep_degrees":255.965702,"canvas_size":[462,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0828","image_path":"images/angle_estimation_0828.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0828_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_0828_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0828_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"76","question_id":"angle_estimation_0828_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0828_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[193.5068,110.1913],[88.8662,323.4624]],"scene_type":"single","seed":828,"vertex":[231.0,241.5]}
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-{"angle_1_degrees":66.462033,"angle_2_degrees":30.346681,"angles":[{"angle_degrees":66.462033,"arc_sweep_degrees":66.462033,"ray_endpoints":[[37.4388,245.5185],[121.581,157.8652]],"vertex":[123.12,281.58]},{"angle_degrees":30.346681,"arc_sweep_degrees":30.346681,"ray_endpoints":[[433.7616,334.8509],[408.2998,403.1398]],"vertex":[332.88,281.58]}],"canvas_size":[456,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0830","image_path":"images/angle_estimation_0830.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0830_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0830_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0830_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0830_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0830_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":830}
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-{"angle_1_degrees":154.456532,"angle_2_degrees":71.436025,"angles":[{"angle_degrees":154.456532,"arc_sweep_degrees":154.456532,"ray_endpoints":[[89.2555,358.1841],[143.7714,144.2198]],"vertex":[133.92,279.87]},{"angle_degrees":71.436025,"arc_sweep_degrees":71.436025,"ray_endpoints":[[436.739,358.4765],[294.7469,406.9789]],"vertex":[362.08,279.87]}],"canvas_size":[496,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0832","image_path":"images/angle_estimation_0832.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0832_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0832_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0832_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0832_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0832_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":832}
-{"angle_1_degrees":26.740927,"angle_2_degrees":71.034872,"angles":[{"angle_degrees":26.740927,"arc_sweep_degrees":26.740927,"ray_endpoints":[[217.013,291.5231],[221.1473,342.2188]],"vertex":[131.22,278.73]},{"angle_degrees":71.034872,"arc_sweep_degrees":71.034872,"ray_endpoints":[[383.8439,368.5636],[257.3698,351.8493]],"vertex":[354.78,278.73]}],"canvas_size":[486,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0833","image_path":"images/angle_estimation_0833.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0833_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0833_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0833_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0833_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0833_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":833}
-{"angle_1_degrees":106.460138,"angle_2_degrees":74.406444,"angles":[{"angle_degrees":106.460138,"arc_sweep_degrees":106.460138,"ray_endpoints":[[94.6426,366.7198],[22.2762,194.4056]],"vertex":[126.36,263.34]},{"angle_degrees":74.406444,"arc_sweep_degrees":74.406444,"ray_endpoints":[[286.6642,186.8969],[416.9211,169.3193]],"vertex":[341.64,263.34]}],"canvas_size":[468,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0834","image_path":"images/angle_estimation_0834.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0834_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0834_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0834_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0834_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0834_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":834}
-{"angle_1_degrees":162.200157,"angle_2_degrees":130.322992,"angles":[{"angle_degrees":162.200157,"arc_sweep_degrees":162.200157,"ray_endpoints":[[62.9562,355.7635],[190.9548,148.7562]],"vertex":[132.03,279.3]},{"angle_degrees":130.322992,"arc_sweep_degrees":130.322992,"ray_endpoints":[[269.1172,227.2629],[469.0342,240.6304]],"vertex":[356.97,279.3]}],"canvas_size":[489,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0835","image_path":"images/angle_estimation_0835.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0835_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0835_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0835_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0835_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0835_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":835}
-{"canvas_size":[476,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0836","image_path":"images/angle_estimation_0836.png","interior_angles_degrees":[135.888943,21.302387,22.80867],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0836_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0836_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0836_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0836_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0836_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":836,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[202.2136,311.8575],[421.0,311.8575],[55.0,169.1425]]}
-{"canvas_size":[485,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0837","image_path":"images/angle_estimation_0837.png","interior_angles_degrees":[131.918224,19.654858,28.426918],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0837_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0837_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0837_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0837_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0837_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":837,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[175.251,314.9681],[430.0,314.9681],[55.0,181.0319]]}
-{"canvas_size":[482,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0838","image_path":"images/angle_estimation_0838.png","interior_angles_degrees":[127.585084,28.570454,23.844462],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0838_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0838_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0838_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0838_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0838_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":838,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[210.9176,359.7861],[427.0,359.7861],[55.0,157.2139]]}
-{"canvas_size":[489,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0839","image_path":"images/angle_estimation_0839.png","interior_angles_degrees":[109.687182,31.411587,38.901231],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0839_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0839_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0839_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0839_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0839_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":839,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[137.8119,380.7239],[434.0,380.7239],[55.0,149.2761]]}
-{"canvas_size":[463,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0840","image_path":"images/angle_estimation_0840.png","interior_angles_degrees":[133.629365,20.994567,25.376068],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0840_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0840_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0840_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0840_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0840_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":840,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[184.1346,320.7328],[408.0,320.7328],[55.0,185.2672]]}
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-{"angle_degrees":187.009444,"arc_sweep_degrees":187.009444,"canvas_size":[492,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0843","image_path":"images/angle_estimation_0843.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0843_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_0843_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0843_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"7","question_id":"angle_estimation_0843_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0843_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[365.9792,146.8754],[124.6745,336.3352]],"scene_type":"single","seed":843,"vertex":[246.0,253.0]}
-{"angle_degrees":187.956122,"arc_sweep_degrees":187.956122,"canvas_size":[491,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0844","image_path":"images/angle_estimation_0844.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0844_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0844_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0844_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"8","question_id":"angle_estimation_0844_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0844_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[102.8695,159.3363],[326.5298,336.8669]],"scene_type":"single","seed":844,"vertex":[245.5,260.5]}
-{"angle_degrees":179.99999,"arc_sweep_degrees":179.99999,"canvas_size":[453,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0845","image_path":"images/angle_estimation_0845.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0845_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_0845_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0845_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_0845_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0845_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[116.4078,180.9171],[362.0604,327.2545]],"scene_type":"single","seed":845,"vertex":[226.5,246.5]}
-{"angle_degrees":64.745528,"arc_sweep_degrees":64.745528,"canvas_size":[456,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0846","image_path":"images/angle_estimation_0846.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0846_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_0846_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0846_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"115","question_id":"angle_estimation_0846_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0846_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[333.2658,372.5793],[155.456,387.987]],"scene_type":"single","seed":846,"vertex":[228.0,240.5]}
-{"angle_degrees":71.921145,"arc_sweep_degrees":71.921145,"canvas_size":[474,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0847","image_path":"images/angle_estimation_0847.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0847_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_0847_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0847_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"108","question_id":"angle_estimation_0847_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0847_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[179.2845,406.4683],[97.7259,244.371]],"scene_type":"single","seed":847,"vertex":[237.0,249.5]}
-{"angle_degrees":150.948493,"arc_sweep_degrees":150.948493,"canvas_size":[478,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0848","image_path":"images/angle_estimation_0848.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0848_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_0848_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0848_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"29","question_id":"angle_estimation_0848_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0848_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[189.3583,382.3883],[220.2312,100.8423]],"scene_type":"single","seed":848,"vertex":[239.0,262.0]}
-{"angle_1_degrees":34.114101,"angle_2_degrees":57.782406,"angles":[{"angle_degrees":34.114101,"arc_sweep_degrees":34.114101,"ray_endpoints":[[180.6571,341.7399],[143.613,407.577]],"vertex":[121.5,280.44]},{"angle_degrees":57.782406,"arc_sweep_degrees":57.782406,"ray_endpoints":[[354.1804,380.2262],[243.6262,370.3477]],"vertex":[328.5,280.44]}],"canvas_size":[450,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0849","image_path":"images/angle_estimation_0849.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0849_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0849_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0849_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0849_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0849_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":849}
-{"angle_1_degrees":109.33725,"angle_2_degrees":79.72866,"angles":[{"angle_degrees":109.33725,"arc_sweep_degrees":109.33725,"ray_endpoints":[[208.2322,314.6814],[29.1912,364.2219]],"vertex":[129.87,272.46]},{"angle_degrees":79.72866,"arc_sweep_degrees":79.72866,"ray_endpoints":[[420.9306,227.5022],[448.1684,376.3155]],"vertex":[351.13,272.46]}],"canvas_size":[481,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0850","image_path":"images/angle_estimation_0850.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0850_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0850_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0850_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0850_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0850_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":850}
-{"angle_1_degrees":122.010021,"angle_2_degrees":83.033695,"angles":[{"angle_degrees":122.010021,"arc_sweep_degrees":122.010021,"ray_endpoints":[[175.6762,190.3685],[195.3526,385.0556]],"vertex":[131.49,270.75]},{"angle_degrees":83.033695,"arc_sweep_degrees":83.033695,"ray_endpoints":[[434.7515,298.5335],[331.6047,379.8836]],"vertex":[355.51,270.75]}],"canvas_size":[487,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0851","image_path":"images/angle_estimation_0851.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0851_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0851_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0851_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0851_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0851_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":851}
-{"angle_1_degrees":14.074949,"angle_2_degrees":88.843339,"angles":[{"angle_degrees":14.074949,"arc_sweep_degrees":14.074949,"ray_endpoints":[[190.9288,178.905],[219.1152,189.5798]],"vertex":[135.0,278.73]},{"angle_degrees":88.843339,"arc_sweep_degrees":88.843339,"ray_endpoints":[[450.448,350.0785],[290.4988,371.7061]],"vertex":[365.0,278.73]}],"canvas_size":[500,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0852","image_path":"images/angle_estimation_0852.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0852_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0852_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0852_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0852_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0852_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":852}
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-{"angle_1_degrees":63.663527,"angle_2_degrees":136.238463,"angles":[{"angle_degrees":63.663527,"arc_sweep_degrees":63.663527,"ray_endpoints":[[41.0708,241.765],[112.7906,146.8408]],"vertex":[134.46,269.04]},{"angle_degrees":136.238463,"arc_sweep_degrees":136.238463,"ray_endpoints":[[448.9712,218.1285],[325.111,408.1171]],"vertex":[363.54,269.04]}],"canvas_size":[498,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0854","image_path":"images/angle_estimation_0854.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0854_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0854_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0854_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0854_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0854_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":854}
-{"angle_1_degrees":29.835137,"angle_2_degrees":53.977525,"angles":[{"angle_degrees":29.835137,"arc_sweep_degrees":29.835137,"ray_endpoints":[[138.3109,170.6693],[207.9402,158.2064]],"vertex":[125.55,265.62]},{"angle_degrees":53.977525,"arc_sweep_degrees":53.977525,"ray_endpoints":[[383.4717,169.1017],[448.7006,243.383]],"vertex":[339.45,265.62]}],"canvas_size":[465,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0855","image_path":"images/angle_estimation_0855.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0855_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0855_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0855_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0855_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0855_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":855}
-{"canvas_size":[463,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0856","image_path":"images/angle_estimation_0856.png","interior_angles_degrees":[67.336639,26.934035,85.729326],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0856_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0856_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0856_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0856_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0856_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":856,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,338.4804],[408.0,338.4804],[116.7822,190.5196]]}
-{"canvas_size":[480,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0857","image_path":"images/angle_estimation_0857.png","interior_angles_degrees":[68.061946,49.697069,62.240985],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0857_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0857_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0857_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0857_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0857_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":857,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,408.8913],[425.0,408.8913],[174.1321,113.1087]]}
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-{"canvas_size":[486,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0859","image_path":"images/angle_estimation_0859.png","interior_angles_degrees":[72.991834,58.720066,48.2881],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0859_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0859_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0859_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0859_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0859_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":859,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[76.7582,429.0],[409.2418,429.0],[188.1009,65.0]]}
-{"canvas_size":[458,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0860","image_path":"images/angle_estimation_0860.png","interior_angles_degrees":[51.788911,53.904554,74.306535],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0860_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0860_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0860_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0860_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0860_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":860,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,358.751],[403.0,358.751],[235.6722,129.249]]}
-{"angle_degrees":321.301628,"arc_sweep_degrees":321.301628,"canvas_size":[478,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0861","image_path":"images/angle_estimation_0861.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0861_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_0861_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0861_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"141","question_id":"angle_estimation_0861_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0861_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[293.8749,135.974],[202.6627,96.0044]],"scene_type":"single","seed":861,"vertex":[239.0,251.0]}
-{"angle_degrees":79.589071,"arc_sweep_degrees":79.589071,"canvas_size":[486,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0862","image_path":"images/angle_estimation_0862.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0862_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_0862_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0862_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"100","question_id":"angle_estimation_0862_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0862_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[340.4118,374.6068],[143.7833,382.5773]],"scene_type":"single","seed":862,"vertex":[243.0,260.5]}
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-{"angle_1_degrees":81.205419,"angle_2_degrees":69.262321,"angles":[{"angle_degrees":81.205419,"arc_sweep_degrees":81.205419,"ray_endpoints":[[26.8881,282.9983],[88.7597,134.1079]],"vertex":[125.55,272.46]},{"angle_degrees":69.262321,"arc_sweep_degrees":69.262321,"ray_endpoints":[[439.3237,285.517],[372.5616,412.6483]],"vertex":[339.45,272.46]}],"canvas_size":[465,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0870","image_path":"images/angle_estimation_0870.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0870_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0870_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0870_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0870_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0870_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":870}
-{"angle_1_degrees":74.171562,"angle_2_degrees":10.732413,"angles":[{"angle_degrees":74.171562,"arc_sweep_degrees":74.171562,"ray_endpoints":[[202.1646,243.771],[194.4842,357.9275]],"vertex":[127.44,276.45]},{"angle_degrees":10.732413,"arc_sweep_degrees":10.732413,"ray_endpoints":[[377.3083,192.7689],[404.3736,181.1179]],"vertex":[344.56,276.45]}],"canvas_size":[472,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0871","image_path":"images/angle_estimation_0871.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0871_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0871_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0871_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0871_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0871_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":871}
-{"angle_1_degrees":159.679052,"angle_2_degrees":20.181103,"angles":[{"angle_degrees":159.679052,"arc_sweep_degrees":159.679052,"ray_endpoints":[[120.65,364.3835],[104.3005,165.494]],"vertex":[130.95,273.6]},{"angle_degrees":20.181103,"arc_sweep_degrees":20.181103,"ray_endpoints":[[431.2255,195.0394],[468.9271,219.228]],"vertex":[354.05,273.6]}],"canvas_size":[485,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0872","image_path":"images/angle_estimation_0872.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0872_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0872_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_0872_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0872_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0872_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":872}
-{"angle_1_degrees":100.677979,"angle_2_degrees":58.599119,"angles":[{"angle_degrees":100.677979,"arc_sweep_degrees":100.677979,"ray_endpoints":[[48.4974,365.033],[40.0051,171.4544]],"vertex":[123.93,280.44]},{"angle_degrees":58.599119,"arc_sweep_degrees":58.599119,"ray_endpoints":[[259.8847,269.6675],[287.9714,170.7996]],"vertex":[335.07,280.44]}],"canvas_size":[459,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0873","image_path":"images/angle_estimation_0873.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0873_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0873_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0873_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0873_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0873_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":873}
-{"angle_1_degrees":66.620179,"angle_2_degrees":13.500809,"angles":[{"angle_degrees":66.620179,"arc_sweep_degrees":66.620179,"ray_endpoints":[[91.6373,332.7252],[22.402,251.9505]],"vertex":[130.41,262.2]},{"angle_degrees":13.500809,"arc_sweep_degrees":13.500809,"ray_endpoints":[[429.7458,318.114],[425.7789,347.6853]],"vertex":[352.59,262.2]}],"canvas_size":[483,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0874","image_path":"images/angle_estimation_0874.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0874_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0874_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0874_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0874_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0874_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":874}
-{"angle_1_degrees":76.160015,"angle_2_degrees":108.576507,"angles":[{"angle_degrees":76.160015,"arc_sweep_degrees":76.160015,"ray_endpoints":[[67.3033,342.2904],[32.5854,219.0951]],"vertex":[130.14,265.62]},{"angle_degrees":108.576507,"arc_sweep_degrees":108.576507,"ray_endpoints":[[421.4233,203.1703],[400.4971,378.3425]],"vertex":[351.86,265.62]}],"canvas_size":[482,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0875","image_path":"images/angle_estimation_0875.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0875_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0875_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0875_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0875_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0875_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":875}
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-{"canvas_size":[464,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0877","image_path":"images/angle_estimation_0877.png","interior_angles_degrees":[90.760014,41.897468,47.342518],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0877_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0877_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0877_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0877_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0877_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":877,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[59.2131,423.7989],[409.0,423.7989],[55.0,106.2011]]}
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-{"angle_degrees":68.01661,"arc_sweep_degrees":68.01661,"canvas_size":[492,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0881","image_path":"images/angle_estimation_0881.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0881_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_0881_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0881_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"112","question_id":"angle_estimation_0881_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0881_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[218.2983,102.2475],[379.7371,160.7553]],"scene_type":"single","seed":881,"vertex":[246.0,247.0]}
-{"angle_degrees":228.118171,"arc_sweep_degrees":228.118171,"canvas_size":[450,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0882","image_path":"images/angle_estimation_0882.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0882_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_0882_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0882_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"48","question_id":"angle_estimation_0882_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0882_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[102.3417,134.7415],[218.1113,371.9695]],"scene_type":"single","seed":882,"vertex":[225.0,259.0]}
-{"angle_degrees":66.207817,"arc_sweep_degrees":66.207817,"canvas_size":[485,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0883","image_path":"images/angle_estimation_0883.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0883_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_0883_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0883_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"114","question_id":"angle_estimation_0883_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0883_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[371.4661,323.1252],[217.0878,400.2354]],"scene_type":"single","seed":883,"vertex":[242.5,240.0]}
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-{"angle_degrees":208.547792,"arc_sweep_degrees":208.547792,"canvas_size":[455,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0888","image_path":"images/angle_estimation_0888.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0888_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_0888_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0888_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"29","question_id":"angle_estimation_0888_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0888_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[106.9419,371.4772],[350.3471,213.9906]],"scene_type":"single","seed":888,"vertex":[227.5,250.5]}
-{"angle_1_degrees":23.79941,"angle_2_degrees":115.783318,"angles":[{"angle_degrees":23.79941,"arc_sweep_degrees":23.79941,"ray_endpoints":[[211.2694,334.1459],[190.9821,376.3444]],"vertex":[132.3,278.16]},{"angle_degrees":115.783318,"arc_sweep_degrees":115.783318,"ray_endpoints":[[454.4322,238.2682],[351.2883,386.9681]],"vertex":[357.7,278.16]}],"canvas_size":[490,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0889","image_path":"images/angle_estimation_0889.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0889_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0889_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_0889_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0889_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0889_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":889}
-{"angle_1_degrees":56.81786,"angle_2_degrees":28.861815,"angles":[{"angle_degrees":56.81786,"arc_sweep_degrees":56.81786,"ray_endpoints":[[34.1991,302.459],[35.943,206.6727]],"vertex":[122.31,267.33]},{"angle_degrees":28.861815,"arc_sweep_degrees":28.861815,"ray_endpoints":[[424.0722,318.8885],[405.207,385.5051]],"vertex":[330.69,267.33]}],"canvas_size":[453,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0890","image_path":"images/angle_estimation_0890.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0890_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0890_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0890_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0890_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0890_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":890}
-{"angle_1_degrees":18.485633,"angle_2_degrees":160.757865,"angles":[{"angle_degrees":18.485633,"arc_sweep_degrees":18.485633,"ray_endpoints":[[52.6034,320.8159],[25.0829,296.7909]],"vertex":[132.3,270.75]},{"angle_degrees":160.757865,"arc_sweep_degrees":160.757865,"ray_endpoints":[[282.4038,284.0958],[451.2055,218.292]],"vertex":[357.7,270.75]}],"canvas_size":[490,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0891","image_path":"images/angle_estimation_0891.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0891_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0891_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_0891_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0891_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0891_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":891}
-{"angle_1_degrees":113.952971,"angle_2_degrees":133.226411,"angles":[{"angle_degrees":113.952971,"arc_sweep_degrees":113.952971,"ray_endpoints":[[37.5679,281.8743],[181.1458,165.4068]],"vertex":[125.28,283.86]},{"angle_degrees":133.226411,"arc_sweep_degrees":133.226411,"ray_endpoints":[[397.4594,204.5012],[361.4605,409.4205]],"vertex":[338.72,283.86]}],"canvas_size":[464,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0892","image_path":"images/angle_estimation_0892.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0892_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0892_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0892_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0892_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0892_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":892}
-{"angle_1_degrees":41.797055,"angle_2_degrees":52.782101,"angles":[{"angle_degrees":41.797055,"arc_sweep_degrees":41.797055,"ray_endpoints":[[165.514,352.9948],[95.1454,422.1738]],"vertex":[130.14,285.0]},{"angle_degrees":52.782101,"arc_sweep_degrees":52.782101,"ray_endpoints":[[346.9149,207.327],[444.3828,204.9651]],"vertex":[351.86,285.0]}],"canvas_size":[482,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0893","image_path":"images/angle_estimation_0893.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0893_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0893_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0893_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0893_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0893_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":893}
-{"angle_1_degrees":55.423119,"angle_2_degrees":118.844128,"angles":[{"angle_degrees":55.423119,"arc_sweep_degrees":55.423119,"ray_endpoints":[[65.1973,220.2698],[141.2589,149.4765]],"vertex":[129.06,274.17]},{"angle_degrees":118.844128,"arc_sweep_degrees":118.844128,"ray_endpoints":[[455.8178,256.0333],[306.1874,396.8489]],"vertex":[348.94,274.17]}],"canvas_size":[478,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0894","image_path":"images/angle_estimation_0894.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0894_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0894_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0894_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0894_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0894_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":894}
-{"angle_1_degrees":78.393028,"angle_2_degrees":142.299452,"angles":[{"angle_degrees":78.393028,"arc_sweep_degrees":78.393028,"ray_endpoints":[[207.8006,219.9452],[215.7619,364.041]],"vertex":[132.57,257.07]},{"angle_degrees":142.299452,"arc_sweep_degrees":142.299452,"ray_endpoints":[[282.1172,337.38],[370.912,134.9821]],"vertex":[358.43,257.07]}],"canvas_size":[491,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0895","image_path":"images/angle_estimation_0895.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0895_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0895_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0895_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0895_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0895_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":895}
-{"canvas_size":[462,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0896","image_path":"images/angle_estimation_0896.png","interior_angles_degrees":[111.516407,37.108706,31.374887],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0896_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0896_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0896_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0896_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0896_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":896,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[159.9863,391.6498],[407.0,391.6498],[55.0,125.3502]]}
-{"canvas_size":[453,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0897","image_path":"images/angle_estimation_0897.png","interior_angles_degrees":[109.639308,33.299803,37.060889],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0897_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0897_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0897_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0897_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0897_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":897,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[135.4025,377.6536],[398.0,377.6536],[55.0,152.3464]]}
-{"canvas_size":[476,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0898","image_path":"images/angle_estimation_0898.png","interior_angles_degrees":[137.192712,23.919065,18.888222],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0898_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0898_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0898_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0898_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0898_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":898,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[230.2607,325.1673],[421.0,325.1673],[55.0,162.8327]]}
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-{"angle_degrees":225.750237,"arc_sweep_degrees":225.750237,"canvas_size":[467,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0902","image_path":"images/angle_estimation_0902.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0902_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_0902_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0902_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"46","question_id":"angle_estimation_0902_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0902_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[325.3049,374.9181],[252.3822,118.3872]],"scene_type":"single","seed":902,"vertex":[233.5,257.5]}
-{"angle_degrees":232.128523,"arc_sweep_degrees":232.128523,"canvas_size":[452,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0903","image_path":"images/angle_estimation_0903.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0903_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_0903_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0903_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"52","question_id":"angle_estimation_0903_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0903_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[274.3447,389.3752],[287.2568,159.9125]],"scene_type":"single","seed":903,"vertex":[226.0,258.5]}
-{"angle_degrees":106.4597,"arc_sweep_degrees":106.4597,"canvas_size":[495,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0904","image_path":"images/angle_estimation_0904.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0904_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_0904_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0904_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"74","question_id":"angle_estimation_0904_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0904_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[392.1902,249.4259],[209.3728,410.5481]],"scene_type":"single","seed":904,"vertex":[247.5,256.0]}
-{"angle_degrees":60.000003,"arc_sweep_degrees":60.000003,"canvas_size":[493,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0905","image_path":"images/angle_estimation_0905.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0905_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_0905_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0905_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_0905_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0905_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[411.61,272.2435],[295.892,372.4528]],"scene_type":"single","seed":905,"vertex":[246.5,248.0]}
-{"angle_degrees":348.054002,"arc_sweep_degrees":348.054002,"canvas_size":[450,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0906","image_path":"images/angle_estimation_0906.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0906_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_0906_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0906_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"168","question_id":"angle_estimation_0906_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0906_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[182.8074,86.9379],[175.565,147.8338]],"scene_type":"single","seed":906,"vertex":[225.0,245.5]}
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-{"angle_degrees":297.122454,"arc_sweep_degrees":297.122454,"canvas_size":[491,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0908","image_path":"images/angle_estimation_0908.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0908_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_0908_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0908_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"117","question_id":"angle_estimation_0908_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0908_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[374.2514,200.056],[265.5009,132.1666]],"scene_type":"single","seed":908,"vertex":[245.5,238.0]}
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-{"angle_1_degrees":148.143482,"angle_2_degrees":36.12361,"angles":[{"angle_degrees":148.143482,"arc_sweep_degrees":148.143482,"ray_endpoints":[[133.0326,168.3384],[203.284,395.7558]],"vertex":[132.03,278.73]},{"angle_degrees":36.12361,"arc_sweep_degrees":36.12361,"ray_endpoints":[[271.0258,221.8935],[319.3332,177.5222]],"vertex":[356.97,278.73]}],"canvas_size":[489,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0910","image_path":"images/angle_estimation_0910.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0910_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0910_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0910_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0910_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0910_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":910}
-{"angle_1_degrees":92.93203,"angle_2_degrees":47.302569,"angles":[{"angle_degrees":92.93203,"arc_sweep_degrees":92.93203,"ray_endpoints":[[214.2493,206.5514],[203.1569,379.9981]],"vertex":[129.33,270.18]},{"angle_degrees":47.302569,"arc_sweep_degrees":47.302569,"ray_endpoints":[[371.4108,364.7677],[269.8873,386.8828]],"vertex":[349.67,270.18]}],"canvas_size":[479,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0911","image_path":"images/angle_estimation_0911.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0911_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0911_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0911_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0911_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0911_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":911}
-{"angle_1_degrees":10.974265,"angle_2_degrees":81.710627,"angles":[{"angle_degrees":10.974265,"arc_sweep_degrees":10.974265,"ray_endpoints":[[113.9367,366.4212],[83.7692,397.6779]],"vertex":[130.41,283.29]},{"angle_degrees":81.710627,"arc_sweep_degrees":81.710627,"ray_endpoints":[[287.1012,235.4709],[402.7633,188.3171]],"vertex":[352.59,283.29]}],"canvas_size":[483,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0912","image_path":"images/angle_estimation_0912.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0912_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0912_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0912_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0912_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0912_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":912}
-{"angle_1_degrees":71.67087,"angle_2_degrees":119.399979,"angles":[{"angle_degrees":71.67087,"arc_sweep_degrees":71.67087,"ray_endpoints":[[18.7365,248.5756],[96.6056,148.1121]],"vertex":[123.12,257.07]},{"angle_degrees":119.399979,"arc_sweep_degrees":119.399979,"ray_endpoints":[[424.8144,206.8319],[331.4124,369.8843]],"vertex":[332.88,257.07]}],"canvas_size":[456,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0913","image_path":"images/angle_estimation_0913.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0913_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0913_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0913_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0913_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0913_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":913}
-{"angle_1_degrees":138.469763,"angle_2_degrees":128.488927,"angles":[{"angle_degrees":138.469763,"arc_sweep_degrees":138.469763,"ray_endpoints":[[66.6382,359.7323],[101.947,157.048]],"vertex":[122.31,267.33]},{"angle_degrees":128.488927,"arc_sweep_degrees":128.488927,"ray_endpoints":[[281.0404,327.4347],[303.575,139.243]],"vertex":[330.69,267.33]}],"canvas_size":[453,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0914","image_path":"images/angle_estimation_0914.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0914_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0914_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0914_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0914_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0914_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":914}
-{"angle_1_degrees":33.645032,"angle_2_degrees":68.587879,"angles":[{"angle_degrees":33.645032,"arc_sweep_degrees":33.645032,"ray_endpoints":[[200.0231,275.4842],[217.5309,344.879]],"vertex":[124.47,267.33]},{"angle_degrees":68.587879,"arc_sweep_degrees":68.587879,"ray_endpoints":[[420.5172,202.1171],[436.0392,326.555]],"vertex":[336.53,267.33]}],"canvas_size":[461,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0915","image_path":"images/angle_estimation_0915.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0915_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0915_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0915_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0915_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0915_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":915}
-{"canvas_size":[493,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0916","image_path":"images/angle_estimation_0916.png","interior_angles_degrees":[74.437348,45.829293,59.733359],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0916_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0916_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0916_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0916_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0916_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":916,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,411.7042],[438.0,411.7042],[140.3355,105.2958]]}
-{"canvas_size":[498,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0917","image_path":"images/angle_estimation_0917.png","interior_angles_degrees":[71.747262,33.078826,75.173912],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0917_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0917_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0917_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0917_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0917_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":917,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,360.5192],[443.0,360.5192],[123.6118,152.4808]]}
-{"canvas_size":[495,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0918","image_path":"images/angle_estimation_0918.png","interior_angles_degrees":[44.840491,50.626574,84.532936],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0918_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0918_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0918_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0918_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0918_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":918,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,365.4092],[440.0,365.4092],[266.9955,154.5908]]}
-{"canvas_size":[493,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0919","image_path":"images/angle_estimation_0919.png","interior_angles_degrees":[51.425651,50.091988,78.482361],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0919_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0919_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0919_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0919_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0919_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":919,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,373.7025],[438.0,373.7025],[241.9513,139.2975]]}
-{"canvas_size":[488,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0920","image_path":"images/angle_estimation_0920.png","interior_angles_degrees":[59.137705,39.720991,81.141303],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0920_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0920_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0920_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0920_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0920_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":920,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,354.9299],[433.0,354.9299],[180.411,145.0701]]}
-{"angle_degrees":147.770442,"arc_sweep_degrees":147.770442,"canvas_size":[472,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0921","image_path":"images/angle_estimation_0921.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0921_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_0921_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0921_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"32","question_id":"angle_estimation_0921_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0921_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[149.9356,118.84],[332.6384,291.215]],"scene_type":"single","seed":921,"vertex":[236.0,248.0]}
-{"angle_degrees":325.171068,"arc_sweep_degrees":325.171068,"canvas_size":[453,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0922","image_path":"images/angle_estimation_0922.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0922_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_0922_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0922_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"145","question_id":"angle_estimation_0922_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0922_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[283.7904,414.3194],[335.7831,331.2946]],"scene_type":"single","seed":922,"vertex":[226.5,253.0]}
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-{"angle_degrees":179.999985,"arc_sweep_degrees":179.999985,"canvas_size":[455,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0925","image_path":"images/angle_estimation_0925.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0925_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_0925_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0925_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_0925_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0925_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[356.2642,289.9863],[89.027,182.0939]],"scene_type":"single","seed":925,"vertex":[227.5,238.0]}
-{"angle_degrees":300.238144,"arc_sweep_degrees":300.238144,"canvas_size":[491,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0926","image_path":"images/angle_estimation_0926.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0926_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_0926_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0926_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_0926_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0926_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[407.9359,219.3478],[288.057,130.1678]],"scene_type":"single","seed":926,"vertex":[245.5,250.0]}
-{"angle_degrees":39.639911,"arc_sweep_degrees":39.639911,"canvas_size":[490,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0927","image_path":"images/angle_estimation_0927.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0927_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_0927_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0927_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"140","question_id":"angle_estimation_0927_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0927_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[150.1711,330.4742],[80.5637,251.6218]],"scene_type":"single","seed":927,"vertex":[245.0,241.0]}
-{"angle_degrees":193.068117,"arc_sweep_degrees":193.068117,"canvas_size":[469,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0928","image_path":"images/angle_estimation_0928.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0928_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0928_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0928_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"13","question_id":"angle_estimation_0928_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0928_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[392.2393,205.7319],[72.9904,257.3572]],"scene_type":"single","seed":928,"vertex":[234.5,250.0]}
-{"angle_1_degrees":153.163325,"angle_2_degrees":20.287308,"angles":[{"angle_degrees":153.163325,"arc_sweep_degrees":153.163325,"ray_endpoints":[[65.3961,354.653],[145.9337,154.5929]],"vertex":[124.74,275.31]},{"angle_degrees":20.287308,"arc_sweep_degrees":20.287308,"ray_endpoints":[[344.1732,360.7421],[302.5362,399.1675]],"vertex":[337.26,275.31]}],"canvas_size":[462,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0929","image_path":"images/angle_estimation_0929.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0929_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0929_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_0929_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0929_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0929_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":929}
-{"angle_1_degrees":85.434549,"angle_2_degrees":131.633474,"angles":[{"angle_degrees":85.434549,"arc_sweep_degrees":85.434549,"ray_endpoints":[[212.7118,235.2859],[175.7822,378.3939]],"vertex":[130.41,259.35]},{"angle_degrees":131.633474,"arc_sweep_degrees":131.633474,"ray_endpoints":[[434.411,257.5761],[273.7209,352.0488]],"vertex":[352.59,259.35]}],"canvas_size":[483,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0930","image_path":"images/angle_estimation_0930.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0930_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0930_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0930_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0930_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0930_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":930}
-{"angle_1_degrees":28.625108,"angle_2_degrees":63.169758,"angles":[{"angle_degrees":28.625108,"arc_sweep_degrees":28.625108,"ray_endpoints":[[75.0621,203.7814],[105.9654,145.2502]],"vertex":[128.79,270.18]},{"angle_degrees":63.169758,"arc_sweep_degrees":63.169758,"ray_endpoints":[[435.3316,249.5366],[422.8081,358.5782]],"vertex":[348.21,270.18]}],"canvas_size":[477,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0931","image_path":"images/angle_estimation_0931.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0931_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0931_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0931_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0931_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0931_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":931}
-{"angle_1_degrees":34.651658,"angle_2_degrees":157.886798,"angles":[{"angle_degrees":34.651658,"arc_sweep_degrees":34.651658,"ray_endpoints":[[48.671,251.5536],[47.4975,189.1165]],"vertex":[130.41,259.92]},{"angle_degrees":157.886798,"arc_sweep_degrees":157.886798,"ray_endpoints":[[354.923,152.7498],[402.5269,390.9242]],"vertex":[352.59,259.92]}],"canvas_size":[483,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0932","image_path":"images/angle_estimation_0932.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0932_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0932_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_0932_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0932_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0932_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":932}
-{"angle_1_degrees":37.910798,"angle_2_degrees":90.431588,"angles":[{"angle_degrees":37.910798,"arc_sweep_degrees":37.910798,"ray_endpoints":[[163.2055,373.0316],[88.2238,399.1792]],"vertex":[130.41,277.02]},{"angle_degrees":90.431588,"arc_sweep_degrees":90.431588,"ray_endpoints":[[310.3559,199.571],[448.1027,225.8651]],"vertex":[352.59,277.02]}],"canvas_size":[483,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0933","image_path":"images/angle_estimation_0933.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0933_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0933_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0933_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0933_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0933_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":933}
-{"angle_1_degrees":62.824585,"angle_2_degrees":34.34743,"angles":[{"angle_degrees":62.824585,"arc_sweep_degrees":62.824585,"ray_endpoints":[[19.7856,271.2656],[64.722,155.0292]],"vertex":[129.33,265.05]},{"angle_degrees":34.34743,"arc_sweep_degrees":34.34743,"ray_endpoints":[[441.9094,324.0294],[402.0831,388.1865]],"vertex":[349.67,265.05]}],"canvas_size":[479,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0934","image_path":"images/angle_estimation_0934.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0934_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0934_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0934_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0934_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0934_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":934}
-{"angle_1_degrees":27.80273,"angle_2_degrees":150.613249,"angles":[{"angle_degrees":27.80273,"arc_sweep_degrees":27.80273,"ray_endpoints":[[160.1198,201.0823],[233.9889,185.6743]],"vertex":[133.11,282.72]},{"angle_degrees":150.613249,"arc_sweep_degrees":150.613249,"ray_endpoints":[[373.6318,360.7156],[279.6712,184.9869]],"vertex":[359.89,282.72]}],"canvas_size":[493,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0935","image_path":"images/angle_estimation_0935.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0935_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0935_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_0935_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0935_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0935_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":935}
-{"canvas_size":[459,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0936","image_path":"images/angle_estimation_0936.png","interior_angles_degrees":[88.977887,28.243604,62.778508],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0936_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0936_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0936_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0936_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0936_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":936,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,346.3473],[404.0,346.3473],[58.313,160.6527]]}
-{"canvas_size":[484,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0937","image_path":"images/angle_estimation_0937.png","interior_angles_degrees":[90.241229,39.676523,50.082248],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0937_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0937_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0937_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0937_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0937_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":937,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.3062,399.121],[429.0,399.121],[55.0,88.879]]}
-{"canvas_size":[478,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0938","image_path":"images/angle_estimation_0938.png","interior_angles_degrees":[90.399421,44.4755,45.12508],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0938_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0938_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0938_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0938_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0938_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":938,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[57.5189,436.1617],[423.0,436.1617],[55.0,74.8383]]}
-{"canvas_size":[456,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0939","image_path":"images/angle_estimation_0939.png","interior_angles_degrees":[89.624985,32.407859,57.967155],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0939_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0939_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0939_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0939_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0939_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":939,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,353.868],[401.0,353.868],[56.4317,135.132]]}
-{"canvas_size":[472,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0940","image_path":"images/angle_estimation_0940.png","interior_angles_degrees":[90.346971,56.004681,33.648348],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0940_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0940_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0940_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0940_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0940_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":940,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[114.472,432.0],[359.7505,432.0],[112.2495,65.0]]}
-{"angle_degrees":191.147831,"arc_sweep_degrees":191.147831,"canvas_size":[472,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0941","image_path":"images/angle_estimation_0941.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0941_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0941_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0941_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"11","question_id":"angle_estimation_0941_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0941_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[216.1737,92.7877],[225.5289,399.0429]],"scene_type":"single","seed":941,"vertex":[236.0,253.5]}
-{"angle_degrees":302.432874,"arc_sweep_degrees":302.432874,"canvas_size":[475,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0942","image_path":"images/angle_estimation_0942.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0942_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_0942_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0942_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"122","question_id":"angle_estimation_0942_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0942_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[314.425,102.1433],[168.932,119.8637]],"scene_type":"single","seed":942,"vertex":[237.5,243.5]}
-{"angle_degrees":191.943499,"arc_sweep_degrees":191.943499,"canvas_size":[484,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0943","image_path":"images/angle_estimation_0943.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0943_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0943_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0943_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"12","question_id":"angle_estimation_0943_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0943_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[299.7385,362.7701],[205.0647,97.2124]],"scene_type":"single","seed":943,"vertex":[242.0,244.5]}
-{"angle_degrees":322.496896,"arc_sweep_degrees":322.496896,"canvas_size":[450,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0944","image_path":"images/angle_estimation_0944.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0944_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_0944_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0944_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"142","question_id":"angle_estimation_0944_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0944_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[371.9889,208.6384],[291.5831,161.3776]],"scene_type":"single","seed":944,"vertex":[225.0,247.0]}
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-{"angle_degrees":20.429766,"arc_sweep_degrees":20.429766,"canvas_size":[483,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0948","image_path":"images/angle_estimation_0948.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0948_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_0948_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0948_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"160","question_id":"angle_estimation_0948_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0948_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[105.7802,173.4882],[169.4584,164.5476]],"scene_type":"single","seed":948,"vertex":[241.5,248.0]}
-{"angle_1_degrees":68.662334,"angle_2_degrees":141.109844,"angles":[{"angle_degrees":68.662334,"arc_sweep_degrees":68.662334,"ray_endpoints":[[42.952,296.2294],[65.9045,182.2283]],"vertex":[127.17,280.44]},{"angle_degrees":141.109844,"arc_sweep_degrees":141.109844,"ray_endpoints":[[262.2669,354.0104],[366.5845,137.7282]],"vertex":[343.83,280.44]}],"canvas_size":[471,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0949","image_path":"images/angle_estimation_0949.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0949_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0949_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0949_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0949_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0949_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":949}
-{"angle_1_degrees":14.719529,"angle_2_degrees":78.117847,"angles":[{"angle_degrees":14.719529,"arc_sweep_degrees":14.719529,"ray_endpoints":[[178.3417,327.3388],[184.3644,390.1304]],"vertex":[125.01,263.34]},{"angle_degrees":78.117847,"arc_sweep_degrees":78.117847,"ray_endpoints":[[293.1987,187.1651],[426.8522,182.374]],"vertex":[337.99,263.34]}],"canvas_size":[463,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0950","image_path":"images/angle_estimation_0950.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0950_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0950_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0950_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0950_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0950_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":950}
-{"angle_1_degrees":38.394627,"angle_2_degrees":141.619677,"angles":[{"angle_degrees":38.394627,"arc_sweep_degrees":38.394627,"ray_endpoints":[[204.9883,332.3505],[175.496,415.2864]],"vertex":[134.46,284.43]},{"angle_degrees":141.619677,"arc_sweep_degrees":141.619677,"ray_endpoints":[[330.0005,360.2152],[333.1531,167.0007]],"vertex":[363.54,284.43]}],"canvas_size":[498,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0951","image_path":"images/angle_estimation_0951.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0951_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0951_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_0951_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0951_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0951_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":951}
-{"angle_1_degrees":17.878251,"angle_2_degrees":40.268811,"angles":[{"angle_degrees":17.878251,"arc_sweep_degrees":17.878251,"ray_endpoints":[[184.1465,335.5188],[191.1776,397.3672]],"vertex":[123.39,281.01]},{"angle_degrees":40.268811,"arc_sweep_degrees":40.268811,"ray_endpoints":[[323.5834,395.4489],[255.4438,358.4267]],"vertex":[333.61,281.01]}],"canvas_size":[457,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0952","image_path":"images/angle_estimation_0952.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0952_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0952_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0952_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0952_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0952_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":952}
-{"angle_1_degrees":79.390097,"angle_2_degrees":20.905223,"angles":[{"angle_degrees":79.390097,"arc_sweep_degrees":79.390097,"ray_endpoints":[[39.5089,338.9251],[15.8904,184.4581]],"vertex":[121.5,264.48]},{"angle_degrees":20.905223,"arc_sweep_degrees":20.905223,"ray_endpoints":[[287.2888,351.7685],[244.0965,345.481]],"vertex":[328.5,264.48]}],"canvas_size":[450,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0953","image_path":"images/angle_estimation_0953.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0953_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0953_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0953_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0953_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0953_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":953}
-{"angle_1_degrees":29.755549,"angle_2_degrees":155.320607,"angles":[{"angle_degrees":29.755549,"arc_sweep_degrees":29.755549,"ray_endpoints":[[198.9738,320.3911],[188.5316,387.8021]],"vertex":[124.47,277.02]},{"angle_degrees":155.320607,"arc_sweep_degrees":155.320607,"ray_endpoints":[[384.0217,174.4624],[336.181,395.8978]],"vertex":[336.53,277.02]}],"canvas_size":[461,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0954","image_path":"images/angle_estimation_0954.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0954_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0954_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_0954_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0954_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0954_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":954}
-{"angle_1_degrees":92.42373,"angle_2_degrees":112.38989,"angles":[{"angle_degrees":92.42373,"arc_sweep_degrees":92.42373,"ray_endpoints":[[130.2678,347.7755],[22.1284,262.8972]],"vertex":[132.84,271.32]},{"angle_degrees":112.38989,"arc_sweep_degrees":112.38989,"ray_endpoints":[[398.3025,171.7148],[442.7065,351.5602]],"vertex":[359.16,271.32]}],"canvas_size":[492,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0955","image_path":"images/angle_estimation_0955.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0955_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0955_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0955_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0955_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0955_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":955}
-{"canvas_size":[493,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0956","image_path":"images/angle_estimation_0956.png","interior_angles_degrees":[129.030215,25.47413,25.495655],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0956_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0956_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0956_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0956_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0956_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":956,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[202.9202,343.7347],[438.0,343.7347],[55.0,161.2653]]}
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-{"angle_degrees":231.510392,"arc_sweep_degrees":231.510392,"canvas_size":[466,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_0962","image_path":"images/angle_estimation_0962.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0962_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_0962_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0962_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"52","question_id":"angle_estimation_0962_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0962_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[276.2069,395.3819],[296.7984,161.8353]],"scene_type":"single","seed":962,"vertex":[233.0,255.0]}
-{"angle_degrees":83.150396,"arc_sweep_degrees":83.150396,"canvas_size":[484,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0963","image_path":"images/angle_estimation_0963.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0963_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_0963_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0963_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"97","question_id":"angle_estimation_0963_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0963_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[137.3921,379.8304],[114.0632,168.8132]],"scene_type":"single","seed":963,"vertex":[242.0,246.5]}
-{"angle_degrees":157.041824,"arc_sweep_degrees":157.041824,"canvas_size":[500,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_0964","image_path":"images/angle_estimation_0964.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0964_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_0964_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0964_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"23","question_id":"angle_estimation_0964_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0964_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[334.5931,126.5136],[229.4376,360.6274]],"scene_type":"single","seed":964,"vertex":[250.0,253.0]}
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-{"angle_1_degrees":67.679021,"angle_2_degrees":116.74078,"angles":[{"angle_degrees":67.679021,"arc_sweep_degrees":67.679021,"ray_endpoints":[[195.4243,370.4673],[63.1485,391.8095]],"vertex":[126.36,281.58]},{"angle_degrees":116.74078,"arc_sweep_degrees":116.74078,"ray_endpoints":[[262.9874,322.5325],[339.8878,150.203]],"vertex":[341.64,281.58]}],"canvas_size":[468,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0970","image_path":"images/angle_estimation_0970.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0970_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0970_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0970_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0970_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0970_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":970}
-{"angle_1_degrees":167.977326,"angle_2_degrees":120.985256,"angles":[{"angle_degrees":167.977326,"arc_sweep_degrees":167.977326,"ray_endpoints":[[137.3843,344.9518],[88.6852,163.553]],"vertex":[125.82,264.48]},{"angle_degrees":120.985256,"arc_sweep_degrees":120.985256,"ray_endpoints":[[448.67,243.5332],[301.3966,370.7059]],"vertex":[340.18,264.48]}],"canvas_size":[466,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0971","image_path":"images/angle_estimation_0971.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0971_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0971_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0971_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0971_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0971_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":971}
-{"angle_1_degrees":13.230986,"angle_2_degrees":70.107873,"angles":[{"angle_degrees":13.230986,"arc_sweep_degrees":13.230986,"ray_endpoints":[[144.1804,363.5219],[115.3575,400.6552]],"vertex":[133.92,260.49]},{"angle_degrees":70.107873,"arc_sweep_degrees":70.107873,"ray_endpoints":[[292.1303,224.6016],[377.7556,137.5854]],"vertex":[362.08,260.49]}],"canvas_size":[496,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0972","image_path":"images/angle_estimation_0972.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0972_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0972_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0972_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0972_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0972_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":972}
-{"angle_1_degrees":51.941415,"angle_2_degrees":134.54851,"angles":[{"angle_degrees":51.941415,"arc_sweep_degrees":51.941415,"ray_endpoints":[[209.1547,345.4765],[123.4324,394.2479]],"vertex":[123.93,278.16]},{"angle_degrees":134.54851,"arc_sweep_degrees":134.54851,"ray_endpoints":[[425.5093,301.6441],[242.4782,333.5644]],"vertex":[335.07,278.16]}],"canvas_size":[459,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0973","image_path":"images/angle_estimation_0973.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0973_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0973_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0973_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0973_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0973_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":973}
-{"angle_1_degrees":120.947611,"angle_2_degrees":155.805235,"angles":[{"angle_degrees":120.947611,"arc_sweep_degrees":120.947611,"ray_endpoints":[[108.2366,363.684],[38.7869,192.4231]],"vertex":[127.17,274.74]},{"angle_degrees":155.805235,"arc_sweep_degrees":155.805235,"ray_endpoints":[[316.0894,189.782],[416.3921,354.547]],"vertex":[343.83,274.74]}],"canvas_size":[471,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0974","image_path":"images/angle_estimation_0974.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0974_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0974_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0974_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0974_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0974_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":974}
-{"angle_1_degrees":30.797491,"angle_2_degrees":52.773372,"angles":[{"angle_degrees":30.797491,"arc_sweep_degrees":30.797491,"ray_endpoints":[[166.453,384.4157],[105.1679,406.165]],"vertex":[129.87,281.58]},{"angle_degrees":52.773372,"arc_sweep_degrees":52.773372,"ray_endpoints":[[408.3327,371.8622],[303.125,410.5577]],"vertex":[351.13,281.58]}],"canvas_size":[481,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0975","image_path":"images/angle_estimation_0975.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0975_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0975_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0975_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0975_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0975_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":975}
-{"canvas_size":[471,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0976","image_path":"images/angle_estimation_0976.png","interior_angles_degrees":[69.862996,30.179099,79.957905],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0976_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0976_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0976_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0976_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0976_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":976,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,350.017],[416.0,350.017],[118.4482,176.983]]}
-{"canvas_size":[490,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0977","image_path":"images/angle_estimation_0977.png","interior_angles_degrees":[59.67749,58.172222,62.150288],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0977_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0977_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0977_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0977_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0977_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":977,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,422.1008],[435.0,422.1008],[239.3551,106.8992]]}
-{"canvas_size":[487,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0978","image_path":"images/angle_estimation_0978.png","interior_angles_degrees":[68.899073,31.090469,80.010458],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0978_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0978_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0978_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0978_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0978_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":978,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,336.7108],[432.0,336.7108],[126.1658,152.2892]]}
-{"canvas_size":[479,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0979","image_path":"images/angle_estimation_0979.png","interior_angles_degrees":[44.678161,64.463257,70.858582],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0979_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0979_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0979_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0979_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0979_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":979,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,369.4036],[424.0,369.4036],[305.6069,121.5964]]}
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-{"angle_1_degrees":32.428718,"angle_2_degrees":159.068968,"angles":[{"angle_degrees":32.428718,"arc_sweep_degrees":32.428718,"ray_endpoints":[[206.121,307.0941],[213.205,382.8773]],"vertex":[122.85,285.0]},{"angle_degrees":159.068968,"arc_sweep_degrees":159.068968,"ray_endpoints":[[362.347,358.1624],[255.6571,203.9947]],"vertex":[332.15,285.0]}],"canvas_size":[455,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0989","image_path":"images/angle_estimation_0989.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0989_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0989_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_0989_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0989_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0989_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":989}
-{"angle_1_degrees":126.218154,"angle_2_degrees":136.537539,"angles":[{"angle_degrees":126.218154,"arc_sweep_degrees":126.218154,"ray_endpoints":[[228.1451,218.2705],[96.0448,391.0855]],"vertex":[130.14,257.64]},{"angle_degrees":136.537539,"arc_sweep_degrees":136.537539,"ray_endpoints":[[308.0005,152.9643],[458.1037,304.5072]],"vertex":[351.86,257.64]}],"canvas_size":[482,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0990","image_path":"images/angle_estimation_0990.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0990_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0990_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0990_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0990_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0990_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":990}
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-{"angle_1_degrees":127.976654,"angle_2_degrees":56.259363,"angles":[{"angle_degrees":127.976654,"arc_sweep_degrees":127.976654,"ray_endpoints":[[189.7127,193.7109],[151.3014,400.6494]],"vertex":[124.74,269.61]},{"angle_degrees":56.259363,"arc_sweep_degrees":56.259363,"ray_endpoints":[[273.303,208.2653],[358.306,151.0393]],"vertex":[337.26,269.61]}],"canvas_size":[462,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0992","image_path":"images/angle_estimation_0992.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0992_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0992_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0992_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0992_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0992_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":992}
-{"angle_1_degrees":160.259323,"angle_2_degrees":136.806938,"angles":[{"angle_degrees":160.259323,"arc_sweep_degrees":160.259323,"ray_endpoints":[[59.7292,316.2697],[177.2587,155.8827]],"vertex":[122.31,259.35]},{"angle_degrees":136.806938,"arc_sweep_degrees":136.806938,"ray_endpoints":[[415.7981,187.8188],[314.645,394.6962]],"vertex":[330.69,259.35]}],"canvas_size":[453,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0993","image_path":"images/angle_estimation_0993.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0993_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0993_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0993_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0993_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0993_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":993}
-{"angle_1_degrees":54.171219,"angle_2_degrees":44.493,"angles":[{"angle_degrees":54.171219,"arc_sweep_degrees":54.171219,"ray_endpoints":[[47.2543,311.0747],[31.398,220.2935]],"vertex":[123.66,283.86]},{"angle_degrees":44.493,"arc_sweep_degrees":44.493,"ray_endpoints":[[438.4536,293.78],[424.7375,391.3465]],"vertex":[334.34,283.86]}],"canvas_size":[458,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0994","image_path":"images/angle_estimation_0994.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0994_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0994_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0994_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0994_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0994_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":994}
-{"angle_1_degrees":76.954773,"angle_2_degrees":112.483033,"angles":[{"angle_degrees":76.954773,"arc_sweep_degrees":76.954773,"ray_endpoints":[[207.3428,339.2211],[70.8863,367.0287]],"vertex":[124.47,266.76]},{"angle_degrees":112.483033,"arc_sweep_degrees":112.483033,"ray_endpoints":[[419.6174,283.788],[261.0705,378.3604]],"vertex":[336.53,266.76]}],"canvas_size":[461,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_0995","image_path":"images/angle_estimation_0995.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0995_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0995_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0995_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0995_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0995_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":995}
-{"canvas_size":[478,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0996","image_path":"images/angle_estimation_0996.png","interior_angles_degrees":[89.12943,41.849388,49.021182],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0996_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0996_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0996_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0996_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0996_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":996,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,417.5878],[423.0,417.5878],[59.9412,92.4122]]}
-{"canvas_size":[479,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0997","image_path":"images/angle_estimation_0997.png","interior_angles_degrees":[89.282694,40.413404,50.303903],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0997_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0997_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0997_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0997_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0997_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":997,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,409.4392],[424.0,409.4392],[58.8922,98.5608]]}
-{"canvas_size":[460,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0998","image_path":"images/angle_estimation_0998.png","interior_angles_degrees":[90.071819,33.746161,56.18202],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0998_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0998_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0998_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0998_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0998_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":998,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.2931,371.9143],[405.0,371.9143],[55.0,138.0857]]}
-{"canvas_size":[500,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_0999","image_path":"images/angle_estimation_0999.png","interior_angles_degrees":[90.819478,48.300669,40.879853],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0999_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0999_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0999_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0999_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0999_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":999,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[80.5503,458.0],[425.071,458.0],[74.929,65.0]]}
-{"canvas_size":[499,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1000","image_path":"images/angle_estimation_1000.png","interior_angles_degrees":[89.118115,34.801094,56.080791],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1000_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1000_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1000_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1000_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1000_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1000,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,387.2555],[444.0,387.2555],[59.1178,119.7445]]}
-{"angle_degrees":77.332252,"arc_sweep_degrees":77.332252,"canvas_size":[500,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1001","image_path":"images/angle_estimation_1001.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1001_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1001_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1001_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"103","question_id":"angle_estimation_1001_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1001_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[126.4596,358.509],[134.1967,162.8273]],"scene_type":"single","seed":1001,"vertex":[250.0,238.5]}
-{"angle_degrees":153.22508,"arc_sweep_degrees":153.22508,"canvas_size":[483,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1002","image_path":"images/angle_estimation_1002.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1002_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1002_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1002_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"27","question_id":"angle_estimation_1002_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1002_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[106.1433,269.6899],[336.5985,195.2985]],"scene_type":"single","seed":1002,"vertex":[241.5,256.0]}
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-{"angle_degrees":125.700521,"arc_sweep_degrees":125.700521,"canvas_size":[483,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1008","image_path":"images/angle_estimation_1008.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1008_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_1008_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1008_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"54","question_id":"angle_estimation_1008_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1008_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[393.9562,300.8822],[111.9423,345.759]],"scene_type":"single","seed":1008,"vertex":[241.5,251.0]}
-{"angle_1_degrees":87.977949,"angle_2_degrees":22.414665,"angles":[{"angle_degrees":87.977949,"arc_sweep_degrees":87.977949,"ray_endpoints":[[28.584,254.7107],[122.1118,114.7339]],"vertex":[124.47,256.5]},{"angle_degrees":22.414665,"arc_sweep_degrees":22.414665,"ray_endpoints":[[360.6318,361.4081],[313.9363,391.8638]],"vertex":[336.53,256.5]}],"canvas_size":[461,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1009","image_path":"images/angle_estimation_1009.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1009_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1009_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1009_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1009_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1009_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1009}
-{"angle_1_degrees":23.308132,"angle_2_degrees":79.479763,"angles":[{"angle_degrees":23.308132,"arc_sweep_degrees":23.308132,"ray_endpoints":[[122.0265,197.3064],[165.9609,160.2536]],"vertex":[132.84,278.16]},{"angle_degrees":79.479763,"arc_sweep_degrees":79.479763,"ray_endpoints":[[276.1478,272.9942],[342.3958,140.821]],"vertex":[359.16,278.16]}],"canvas_size":[492,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1010","image_path":"images/angle_estimation_1010.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1010_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1010_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1010_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1010_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1010_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1010}
-{"angle_1_degrees":80.827841,"angle_2_degrees":90.850356,"angles":[{"angle_degrees":80.827841,"arc_sweep_degrees":80.827841,"ray_endpoints":[[67.8856,321.9],[29.743,190.2395]],"vertex":[127.71,265.62]},{"angle_degrees":90.850356,"arc_sweep_degrees":90.850356,"ray_endpoints":[[255.0607,308.0296],[300.1802,165.8249]],"vertex":[345.29,265.62]}],"canvas_size":[473,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1011","image_path":"images/angle_estimation_1011.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1011_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1011_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1011_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1011_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1011_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1011}
-{"angle_1_degrees":14.764864,"angle_2_degrees":51.022557,"angles":[{"angle_degrees":14.764864,"arc_sweep_degrees":14.764864,"ray_endpoints":[[161.903,365.5386],[135.571,388.248]],"vertex":[127.17,262.2]},{"angle_degrees":51.022557,"arc_sweep_degrees":51.022557,"ray_endpoints":[[414.9415,223.1774],[456.3791,308.2833]],"vertex":[343.83,262.2]}],"canvas_size":[471,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1012","image_path":"images/angle_estimation_1012.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1012_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1012_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1012_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1012_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1012_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1012}
-{"angle_1_degrees":29.20909,"angle_2_degrees":70.421735,"angles":[{"angle_degrees":29.20909,"arc_sweep_degrees":29.20909,"ray_endpoints":[[68.1466,211.6352],[107.8677,173.8307]],"vertex":[129.87,283.86]},{"angle_degrees":70.421735,"arc_sweep_degrees":70.421735,"ray_endpoints":[[378.1751,366.3267],[258.9692,355.1806]],"vertex":[351.13,283.86]}],"canvas_size":[481,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1013","image_path":"images/angle_estimation_1013.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1013_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1013_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1013_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1013_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1013_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1013}
-{"angle_1_degrees":26.41921,"angle_2_degrees":147.745714,"angles":[{"angle_degrees":26.41921,"arc_sweep_degrees":26.41921,"ray_endpoints":[[131.2758,361.5791],[71.8305,377.1194]],"vertex":[130.14,256.5]},{"angle_degrees":147.745714,"arc_sweep_degrees":147.745714,"ray_endpoints":[[297.9753,352.9131],[345.4794,136.8968]],"vertex":[351.86,256.5]}],"canvas_size":[482,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1014","image_path":"images/angle_estimation_1014.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1014_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1014_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_1014_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1014_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1014_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1014}
-{"angle_1_degrees":58.151377,"angle_2_degrees":159.501954,"angles":[{"angle_degrees":58.151377,"arc_sweep_degrees":58.151377,"ray_endpoints":[[36.0912,320.5954],[13.9207,206.6385]],"vertex":[123.12,283.86]},{"angle_degrees":159.501954,"arc_sweep_degrees":159.501954,"ray_endpoints":[[322.8755,182.8417],[384.5671,389.1154]],"vertex":[332.88,283.86]}],"canvas_size":[456,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1015","image_path":"images/angle_estimation_1015.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1015_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1015_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1015_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1015_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1015_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1015}
-{"canvas_size":[473,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1016","image_path":"images/angle_estimation_1016.png","interior_angles_degrees":[112.645291,32.375215,34.979494],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1016_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1016_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1016_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1016_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1016_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1016,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[151.0143,378.0733],[418.0,378.0733],[55.0,147.9267]]}
-{"canvas_size":[480,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1017","image_path":"images/angle_estimation_1017.png","interior_angles_degrees":[131.641351,20.992321,27.366328],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1017_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1017_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1017_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1017_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1017_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1017,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[181.2327,330.9864],[425.0,330.9864],[55.0,189.0136]]}
-{"canvas_size":[475,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1018","image_path":"images/angle_estimation_1018.png","interior_angles_degrees":[127.780693,23.580175,28.639132],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1018_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1018_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1018_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1018_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1018_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1018,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[178.4908,340.1571],[420.0,340.1571],[55.0,180.8429]]}
-{"canvas_size":[452,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1019","image_path":"images/angle_estimation_1019.png","interior_angles_degrees":[130.652125,24.019598,25.328277],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1019_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1019_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1019_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1019_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1019_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1019,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[185.8705,326.7042],[397.0,326.7042],[55.0,174.2958]]}
-{"canvas_size":[457,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1020","image_path":"images/angle_estimation_1020.png","interior_angles_degrees":[115.028128,24.867138,40.104734],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1020_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1020_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1020_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1020_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1020_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1020,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[130.0925,320.9151],[402.0,320.9151],[55.0,160.0849]]}
-{"angle_degrees":70.615503,"arc_sweep_degrees":70.615503,"canvas_size":[483,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1021","image_path":"images/angle_estimation_1021.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1021_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1021_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1021_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"109","question_id":"angle_estimation_1021_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1021_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[126.2504,327.5867],[146.4623,179.5318]],"scene_type":"single","seed":1021,"vertex":[241.5,253.0]}
-{"angle_degrees":326.238864,"arc_sweep_degrees":326.238864,"canvas_size":[458,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1022","image_path":"images/angle_estimation_1022.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1022_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_1022_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1022_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"146","question_id":"angle_estimation_1022_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1022_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[91.4469,210.7065],[82.4559,297.1026]],"scene_type":"single","seed":1022,"vertex":[229.0,250.0]}
-{"angle_degrees":163.621229,"arc_sweep_degrees":163.621229,"canvas_size":[481,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1023","image_path":"images/angle_estimation_1023.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1023_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1023_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1023_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"16","question_id":"angle_estimation_1023_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1023_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[415.2662,261.9753],[114.9597,294.4743]],"scene_type":"single","seed":1023,"vertex":[240.5,259.5]}
-{"angle_degrees":298.958809,"arc_sweep_degrees":298.958809,"canvas_size":[451,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1024","image_path":"images/angle_estimation_1024.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1024_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_1024_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1024_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"119","question_id":"angle_estimation_1024_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1024_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[85.4282,234.4997],[135.6559,375.2959]],"scene_type":"single","seed":1024,"vertex":[225.5,252.0]}
-{"angle_degrees":30.000014,"arc_sweep_degrees":30.000014,"canvas_size":[463,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1025","image_path":"images/angle_estimation_1025.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1025_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_1025_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1025_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_1025_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1025_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[141.5967,137.4407],[198.7935,79.9613]],"scene_type":"single","seed":1025,"vertex":[231.5,238.5]}
-{"angle_degrees":100.44118,"arc_sweep_degrees":100.44118,"canvas_size":[451,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1026","image_path":"images/angle_estimation_1026.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1026_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_1026_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1026_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"80","question_id":"angle_estimation_1026_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1026_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[293.8756,107.6933],[321.4155,321.1606]],"scene_type":"single","seed":1026,"vertex":[225.5,252.0]}
-{"angle_degrees":318.200425,"arc_sweep_degrees":318.200425,"canvas_size":[451,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1027","image_path":"images/angle_estimation_1027.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1027_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_1027_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1027_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"138","question_id":"angle_estimation_1027_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1027_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[297.1111,106.3733],[187.8633,86.126]],"scene_type":"single","seed":1027,"vertex":[225.5,240.5]}
-{"angle_degrees":143.810264,"arc_sweep_degrees":143.810264,"canvas_size":[479,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1028","image_path":"images/angle_estimation_1028.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1028_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1028_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1028_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"36","question_id":"angle_estimation_1028_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1028_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[364.4562,161.8164],[204.767,371.0142]],"scene_type":"single","seed":1028,"vertex":[239.5,256.0]}
-{"angle_1_degrees":68.587414,"angle_2_degrees":18.444334,"angles":[{"angle_degrees":68.587414,"arc_sweep_degrees":68.587414,"ray_endpoints":[[217.113,312.5507],[117.8796,389.1111]],"vertex":[131.76,267.33]},{"angle_degrees":18.444334,"arc_sweep_degrees":18.444334,"ray_endpoints":[[331.0864,178.0971],[361.2979,160.1521]],"vertex":[356.24,267.33]}],"canvas_size":[488,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1029","image_path":"images/angle_estimation_1029.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1029_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1029_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1029_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1029_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1029_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1029}
-{"angle_1_degrees":133.092099,"angle_2_degrees":35.110793,"angles":[{"angle_degrees":133.092099,"arc_sweep_degrees":133.092099,"ray_endpoints":[[18.6449,303.9632],[184.6174,143.5754]],"vertex":[122.31,271.89]},{"angle_degrees":35.110793,"arc_sweep_degrees":35.110793,"ray_endpoints":[[429.8013,318.9759],[400.9222,396.1378]],"vertex":[330.69,271.89]}],"canvas_size":[453,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1030","image_path":"images/angle_estimation_1030.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1030_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1030_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1030_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1030_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1030_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1030}
-{"angle_1_degrees":98.15652,"angle_2_degrees":165.004478,"angles":[{"angle_degrees":98.15652,"arc_sweep_degrees":98.15652,"ray_endpoints":[[57.3228,354.9759],[61.7325,183.815]],"vertex":[133.38,277.02]},{"angle_degrees":165.004478,"arc_sweep_degrees":165.004478,"ray_endpoints":[[384.6108,171.6689],[365.0074,392.9809]],"vertex":[360.62,277.02]}],"canvas_size":[494,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1031","image_path":"images/angle_estimation_1031.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1031_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1031_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1031_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1031_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1031_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1031}
-{"angle_1_degrees":70.84,"angle_2_degrees":30.780708,"angles":[{"angle_degrees":70.84,"arc_sweep_degrees":70.84,"ray_endpoints":[[216.4785,294.5456],[152.3034,421.5069]],"vertex":[127.98,279.87]},{"angle_degrees":30.780708,"arc_sweep_degrees":30.780708,"ray_endpoints":[[389.3729,178.8771],[449.4682,204.7462]],"vertex":[346.02,279.87]}],"canvas_size":[474,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1032","image_path":"images/angle_estimation_1032.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1032_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1032_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1032_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1032_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1032_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1032}
-{"angle_1_degrees":11.48048,"angle_2_degrees":158.243521,"angles":[{"angle_degrees":11.48048,"arc_sweep_degrees":11.48048,"ray_endpoints":[[199.9708,309.068],[229.3967,361.7637]],"vertex":[132.57,263.91]},{"angle_degrees":158.243521,"arc_sweep_degrees":158.243521,"ray_endpoints":[[397.018,335.4482],[265.7401,186.4067]],"vertex":[358.43,263.91]}],"canvas_size":[491,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1033","image_path":"images/angle_estimation_1033.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1033_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1033_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"150","question_id":"angle_estimation_1033_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1033_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1033_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1033}
-{"angle_1_degrees":22.079755,"angle_2_degrees":131.332474,"angles":[{"angle_degrees":22.079755,"arc_sweep_degrees":22.079755,"ray_endpoints":[[53.6609,359.3979],[20.6458,331.932]],"vertex":[122.04,279.3]},{"angle_degrees":131.332474,"arc_sweep_degrees":131.332474,"ray_endpoints":[[260.9018,248.3197],[427.6557,234.7652]],"vertex":[329.96,279.3]}],"canvas_size":[452,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1034","image_path":"images/angle_estimation_1034.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1034_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1034_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_1034_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1034_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1034_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1034}
-{"angle_1_degrees":36.410855,"angle_2_degrees":54.45404,"angles":[{"angle_degrees":36.410855,"arc_sweep_degrees":36.410855,"ray_endpoints":[[206.3417,319.3971],[178.8806,376.0793]],"vertex":[134.46,279.87]},{"angle_degrees":54.45404,"arc_sweep_degrees":54.45404,"ray_endpoints":[[415.3648,209.9572],[477.8107,281.8701]],"vertex":[363.54,279.87]}],"canvas_size":[498,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1035","image_path":"images/angle_estimation_1035.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1035_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1035_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1035_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1035_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1035_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1035}
-{"canvas_size":[476,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1036","image_path":"images/angle_estimation_1036.png","interior_angles_degrees":[70.606712,49.295923,60.097364],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1036_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1036_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1036_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1036_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1036_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1036,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,412.9548],[421.0,412.9548],[161.2794,111.0452]]}
-{"canvas_size":[455,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1037","image_path":"images/angle_estimation_1037.png","interior_angles_degrees":[63.858119,30.489518,85.652363],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1037_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1037_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1037_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1037_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1037_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1037,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,332.7968],[400.0,332.7968],[132.3472,175.2032]]}
-{"canvas_size":[457,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1038","image_path":"images/angle_estimation_1038.png","interior_angles_degrees":[46.104269,64.181019,69.714712],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1038_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1038_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1038_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1038_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1038_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1038,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,361.9857],[402.0,361.9857],[285.8952,122.0143]]}
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-{"angle_degrees":119.661802,"arc_sweep_degrees":119.661802,"canvas_size":[487,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1043","image_path":"images/angle_estimation_1043.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1043_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_1043_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1043_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"60","question_id":"angle_estimation_1043_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1043_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[375.4074,285.6529],[159.2387,331.6157]],"scene_type":"single","seed":1043,"vertex":[243.5,248.5]}
-{"angle_degrees":162.4215,"arc_sweep_degrees":162.4215,"canvas_size":[464,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1044","image_path":"images/angle_estimation_1044.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1044_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1044_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1044_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"18","question_id":"angle_estimation_1044_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1044_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[105.5635,146.1692],[374.31,303.3961]],"scene_type":"single","seed":1044,"vertex":[232.0,248.0]}
-{"angle_degrees":179.999995,"arc_sweep_degrees":179.999995,"canvas_size":[493,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1045","image_path":"images/angle_estimation_1045.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1045_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_1045_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1045_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_1045_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1045_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[392.1011,175.9752],[103.5623,298.8902]],"scene_type":"single","seed":1045,"vertex":[246.5,238.0]}
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-{"angle_degrees":64.418643,"arc_sweep_degrees":64.418643,"canvas_size":[467,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1048","image_path":"images/angle_estimation_1048.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1048_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1048_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1048_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"116","question_id":"angle_estimation_1048_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1048_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[182.2514,411.5555],[90.5674,266.6827]],"scene_type":"single","seed":1048,"vertex":[233.5,245.5]}
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-{"angle_1_degrees":77.001406,"angle_2_degrees":157.052108,"angles":[{"angle_degrees":77.001406,"arc_sweep_degrees":77.001406,"ray_endpoints":[[27.4034,334.3926],[53.8659,198.2498]],"vertex":[126.9,278.73]},{"angle_degrees":157.052108,"arc_sweep_degrees":157.052108,"ray_endpoints":[[290.4242,333.8869],[386.3704,164.4236]],"vertex":[343.1,278.73]}],"canvas_size":[470,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1050","image_path":"images/angle_estimation_1050.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1050_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1050_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1050_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1050_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1050_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1050}
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-{"angle_1_degrees":65.882658,"angle_2_degrees":76.999646,"angles":[{"angle_degrees":65.882658,"arc_sweep_degrees":65.882658,"ray_endpoints":[[194.3472,333.6016],[92.0333,368.8277]],"vertex":[134.46,269.04]},{"angle_degrees":76.999646,"arc_sweep_degrees":76.999646,"ray_endpoints":[[442.0522,322.4243],[322.6347,374.4273]],"vertex":[363.54,269.04]}],"canvas_size":[498,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1053","image_path":"images/angle_estimation_1053.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1053_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1053_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1053_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1053_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1053_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1053}
-{"angle_1_degrees":13.138409,"angle_2_degrees":88.548488,"angles":[{"angle_degrees":13.138409,"arc_sweep_degrees":13.138409,"ray_endpoints":[[85.5425,169.0966],[108.9643,148.1909]],"vertex":[123.39,275.31]},{"angle_degrees":88.548488,"arc_sweep_degrees":88.548488,"ray_endpoints":[[432.8706,217.2628],[405.405,391.237]],"vertex":[333.61,275.31]}],"canvas_size":[457,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1054","image_path":"images/angle_estimation_1054.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1054_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1054_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1054_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1054_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1054_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1054}
-{"angle_1_degrees":39.997146,"angle_2_degrees":133.435933,"angles":[{"angle_degrees":39.997146,"arc_sweep_degrees":39.997146,"ray_endpoints":[[203.4713,259.5025],[214.5712,336.0696]],"vertex":[122.85,259.92]},{"angle_degrees":133.435933,"arc_sweep_degrees":133.435933,"ray_endpoints":[[263.7445,323.1983],[333.7199,124.7985]],"vertex":[332.15,259.92]}],"canvas_size":[455,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1055","image_path":"images/angle_estimation_1055.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1055_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1055_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1055_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1055_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1055_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1055}
-{"canvas_size":[457,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1056","image_path":"images/angle_estimation_1056.png","interior_angles_degrees":[90.644054,43.469324,45.886622],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1056_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1056_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1056_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1056_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1056_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1056,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[58.6977,409.9689],[402.0,409.9689],[55.0,81.0311]]}
-{"canvas_size":[485,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1057","image_path":"images/angle_estimation_1057.png","interior_angles_degrees":[89.687378,39.178188,51.134434],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1057_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1057_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1057_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1057_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1057_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1057,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,409.626],[430.0,409.626],[56.6601,105.374]]}
-{"canvas_size":[469,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1058","image_path":"images/angle_estimation_1058.png","interior_angles_degrees":[90.798869,46.999008,42.202124],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1058_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1058_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1058_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1058_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1058_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1058,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[60.3679,450.4835],[414.0,450.4835],[55.0,65.5165]]}
-{"canvas_size":[452,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1059","image_path":"images/angle_estimation_1059.png","interior_angles_degrees":[89.427254,46.657529,43.915216],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1059_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1059_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1059_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1059_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1059_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1059,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[56.2326,421.0],[395.7674,421.0],[59.7914,65.0]]}
-{"canvas_size":[465,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1060","image_path":"images/angle_estimation_1060.png","interior_angles_degrees":[90.34294,39.302075,50.354986],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1060_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1060_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1060_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1060_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1060_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1060,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.7393,391.2928],[410.0,391.2928],[55.0,100.7072]]}
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-{"angle_degrees":80.381909,"arc_sweep_degrees":80.381909,"canvas_size":[476,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1068","image_path":"images/angle_estimation_1068.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1068_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1068_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1068_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"100","question_id":"angle_estimation_1068_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1068_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[215.8662,103.8856],[359.1604,212.9241]],"scene_type":"single","seed":1068,"vertex":[238.0,252.5]}
-{"angle_1_degrees":90.907309,"angle_2_degrees":157.97865,"angles":[{"angle_degrees":90.907309,"arc_sweep_degrees":90.907309,"ray_endpoints":[[47.6235,285.6208],[125.1359,170.2959]],"vertex":[127.44,282.72]},{"angle_degrees":157.97865,"arc_sweep_degrees":157.97865,"ray_endpoints":[[265.5431,307.0245],[430.6075,212.7449]],"vertex":[344.56,282.72]}],"canvas_size":[472,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1069","image_path":"images/angle_estimation_1069.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1069_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1069_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1069_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1069_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1069_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1069}
-{"angle_1_degrees":40.893988,"angle_2_degrees":55.594745,"angles":[{"angle_degrees":40.893988,"arc_sweep_degrees":40.893988,"ray_endpoints":[[138.9203,393.6154],[56.4948,384.1021]],"vertex":[127.44,282.72]},{"angle_degrees":55.594745,"arc_sweep_degrees":55.594745,"ray_endpoints":[[415.5022,334.1044],[341.3794,403.292]],"vertex":[344.56,282.72]}],"canvas_size":[472,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1070","image_path":"images/angle_estimation_1070.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1070_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1070_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1070_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1070_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1070_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1070}
-{"angle_1_degrees":36.842714,"angle_2_degrees":131.114728,"angles":[{"angle_degrees":36.842714,"arc_sweep_degrees":36.842714,"ray_endpoints":[[67.4586,333.2079],[14.8514,292.7327]],"vertex":[123.39,274.17]},{"angle_degrees":131.114728,"arc_sweep_degrees":131.114728,"ray_endpoints":[[424.6472,212.5799],[320.0409,384.1278]],"vertex":[333.61,274.17]}],"canvas_size":[457,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1071","image_path":"images/angle_estimation_1071.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1071_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1071_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1071_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1071_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1071_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1071}
-{"angle_1_degrees":13.59347,"angle_2_degrees":112.658476,"angles":[{"angle_degrees":13.59347,"arc_sweep_degrees":13.59347,"ray_endpoints":[[93.6019,192.4285],[103.1258,137.708]],"vertex":[129.87,270.18]},{"angle_degrees":112.658476,"arc_sweep_degrees":112.658476,"ray_endpoints":[[309.1384,365.3782],[265.2319,179.7869]],"vertex":[351.13,270.18]}],"canvas_size":[481,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1072","image_path":"images/angle_estimation_1072.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1072_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1072_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1072_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1072_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1072_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1072}
-{"angle_1_degrees":16.530773,"angle_2_degrees":62.914591,"angles":[{"angle_degrees":16.530773,"arc_sweep_degrees":16.530773,"ray_endpoints":[[210.4991,346.9449],[197.6968,381.0246]],"vertex":[126.9,281.58]},{"angle_degrees":62.914591,"arc_sweep_degrees":62.914591,"ray_endpoints":[[330.9655,195.1286],[449.2685,207.0317]],"vertex":[343.1,281.58]}],"canvas_size":[470,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1073","image_path":"images/angle_estimation_1073.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1073_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1073_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1073_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1073_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1073_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1073}
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-{"angle_1_degrees":92.30965,"angle_2_degrees":122.897869,"angles":[{"angle_degrees":92.30965,"arc_sweep_degrees":92.30965,"ray_endpoints":[[193.5095,183.6807],[214.0588,338.5509]],"vertex":[128.79,257.64]},{"angle_degrees":122.897869,"arc_sweep_degrees":122.897869,"ray_endpoints":[[441.9621,199.2322],[346.3878,364.7269]],"vertex":[348.21,257.64]}],"canvas_size":[477,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1075","image_path":"images/angle_estimation_1075.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1075_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1075_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1075_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1075_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1075_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1075}
-{"canvas_size":[472,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1076","image_path":"images/angle_estimation_1076.png","interior_angles_degrees":[124.564449,32.746504,22.689046],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1076_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1076_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1076_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1076_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1076_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1076,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[215.3952,360.9075],[417.0,360.9075],[55.0,128.0925]]}
-{"canvas_size":[493,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1077","image_path":"images/angle_estimation_1077.png","interior_angles_degrees":[112.491514,38.189921,29.318565],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1077_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1077_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1077_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1077_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1077_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1077,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[179.7429,392.1411],[438.0,392.1411],[55.0,90.8589]]}
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-{"canvas_size":[484,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1079","image_path":"images/angle_estimation_1079.png","interior_angles_degrees":[135.952545,16.978608,27.068847],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1079_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1079_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1079_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1079_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1079_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1079,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[173.052,320.5953],[429.0,320.5953],[55.0,206.4047]]}
-{"canvas_size":[500,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1080","image_path":"images/angle_estimation_1080.png","interior_angles_degrees":[134.933684,16.621821,28.444495],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1080_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1080_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1080_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1080_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1080_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1080,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[171.1566,313.7129],[445.0,313.7129],[55.0,197.2871]]}
-{"angle_degrees":332.239308,"arc_sweep_degrees":332.239308,"canvas_size":[480,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1081","image_path":"images/angle_estimation_1081.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1081_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_1081_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1081_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"152","question_id":"angle_estimation_1081_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1081_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[85.132,258.4011],[121.8087,320.7996]],"scene_type":"single","seed":1081,"vertex":[240.0,246.5]}
-{"angle_degrees":192.633581,"arc_sweep_degrees":192.633581,"canvas_size":[462,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1082","image_path":"images/angle_estimation_1082.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1082_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_1082_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1082_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"13","question_id":"angle_estimation_1082_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1082_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[207.5147,412.9809],[274.6822,140.4219]],"scene_type":"single","seed":1082,"vertex":[231.0,254.0]}
-{"angle_degrees":172.441349,"arc_sweep_degrees":172.441349,"canvas_size":[463,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1083","image_path":"images/angle_estimation_1083.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1083_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1083_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1083_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"8","question_id":"angle_estimation_1083_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1083_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[273.1969,404.292],[186.7148,136.8899]],"scene_type":"single","seed":1083,"vertex":[231.5,246.0]}
-{"angle_degrees":261.496316,"arc_sweep_degrees":261.496316,"canvas_size":[491,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1084","image_path":"images/angle_estimation_1084.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1084_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_1084_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1084_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"81","question_id":"angle_estimation_1084_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1084_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[374.727,170.1894],[155.1157,114.467]],"scene_type":"single","seed":1084,"vertex":[245.5,238.0]}
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-{"angle_degrees":302.165825,"arc_sweep_degrees":302.165825,"canvas_size":[462,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1087","image_path":"images/angle_estimation_1087.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1087_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_1087_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1087_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"122","question_id":"angle_estimation_1087_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1087_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[112.516,375.7782],[255.8765,382.4047]],"scene_type":"single","seed":1087,"vertex":[231.0,262.0]}
-{"angle_degrees":124.392828,"arc_sweep_degrees":124.392828,"canvas_size":[484,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1088","image_path":"images/angle_estimation_1088.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1088_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_1088_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1088_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"56","question_id":"angle_estimation_1088_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1088_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[239.0568,431.9076],[149.5137,192.3647]],"scene_type":"single","seed":1088,"vertex":[242.0,258.0]}
-{"angle_1_degrees":71.362808,"angle_2_degrees":27.929925,"angles":[{"angle_degrees":71.362808,"arc_sweep_degrees":71.362808,"ray_endpoints":[[130.4561,375.4234],[27.3911,310.485]],"vertex":[126.9,273.03]},{"angle_degrees":27.929925,"arc_sweep_degrees":27.929925,"ray_endpoints":[[375.3005,345.6079],[335.5967,380.2088]],"vertex":[343.1,273.03]}],"canvas_size":[470,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1089","image_path":"images/angle_estimation_1089.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1089_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1089_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1089_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1089_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1089_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1089}
-{"angle_1_degrees":72.798592,"angle_2_degrees":119.25449,"angles":[{"angle_degrees":72.798592,"arc_sweep_degrees":72.798592,"ray_endpoints":[[222.6058,324.1],[90.8718,390.2738]],"vertex":[129.06,261.63]},{"angle_degrees":119.25449,"arc_sweep_degrees":119.25449,"ray_endpoints":[[321.7193,332.8608],[272.845,170.3992]],"vertex":[348.94,261.63]}],"canvas_size":[478,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1090","image_path":"images/angle_estimation_1090.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1090_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1090_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1090_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1090_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1090_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1090}
-{"angle_1_degrees":144.641431,"angle_2_degrees":15.658624,"angles":[{"angle_degrees":144.641431,"arc_sweep_degrees":144.641431,"ray_endpoints":[[74.3314,352.2647],[135.1197,147.0942]],"vertex":[127.71,285.0]},{"angle_degrees":15.658624,"arc_sweep_degrees":15.658624,"ray_endpoints":[[381.1054,377.6957],[357.9438,417.2198]],"vertex":[345.29,285.0]}],"canvas_size":[473,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1091","image_path":"images/angle_estimation_1091.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1091_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1091_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_1091_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1091_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1091_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1091}
-{"angle_1_degrees":44.70716,"angle_2_degrees":36.286335,"angles":[{"angle_degrees":44.70716,"arc_sweep_degrees":44.70716,"ray_endpoints":[[60.7135,199.3642],[134.5346,161.2708]],"vertex":[131.76,274.74]},{"angle_degrees":36.286335,"arc_sweep_degrees":36.286335,"ray_endpoints":[[298.0539,194.1624],[357.285,142.515]],"vertex":[356.24,274.74]}],"canvas_size":[488,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1092","image_path":"images/angle_estimation_1092.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1092_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1092_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1092_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1092_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1092_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1092}
-{"angle_1_degrees":32.500893,"angle_2_degrees":138.248119,"angles":[{"angle_degrees":32.500893,"arc_sweep_degrees":32.500893,"ray_endpoints":[[38.8084,272.6695],[32.8917,208.0283]],"vertex":[127.17,280.44]},{"angle_degrees":138.248119,"arc_sweep_degrees":138.248119,"ray_endpoints":[[324.9395,184.1908],[453.1519,363.2516]],"vertex":[343.83,280.44]}],"canvas_size":[471,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1093","image_path":"images/angle_estimation_1093.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1093_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1093_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_1093_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1093_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1093_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1093}
-{"angle_1_degrees":96.474494,"angle_2_degrees":116.24795,"angles":[{"angle_degrees":96.474494,"arc_sweep_degrees":96.474494,"ray_endpoints":[[53.324,277.241],[148.9089,156.7362]],"vertex":[130.68,279.87]},{"angle_degrees":116.24795,"arc_sweep_degrees":116.24795,"ray_endpoints":[[312.9746,343.8767],[278.0246,157.1316]],"vertex":[353.32,279.87]}],"canvas_size":[484,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1094","image_path":"images/angle_estimation_1094.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1094_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1094_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1094_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1094_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1094_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1094}
-{"angle_1_degrees":51.109775,"angle_2_degrees":34.943739,"angles":[{"angle_degrees":51.109775,"arc_sweep_degrees":51.109775,"ray_endpoints":[[120.5828,179.7134],[206.5186,190.7761]],"vertex":[125.01,263.91]},{"angle_degrees":34.943739,"arc_sweep_degrees":34.943739,"ray_endpoints":[[279.9641,177.8927],[339.846,150.8833]],"vertex":[337.99,263.91]}],"canvas_size":[463,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1095","image_path":"images/angle_estimation_1095.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1095_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1095_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1095_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1095_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1095_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1095}
-{"canvas_size":[490,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1096","image_path":"images/angle_estimation_1096.png","interior_angles_degrees":[50.912462,64.762756,64.324782],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1096_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1096_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_1096_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1096_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1096_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1096,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,401.5125],[435.0,401.5125],[295.4661,105.4875]]}
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-{"angle_degrees":54.841609,"arc_sweep_degrees":54.841609,"canvas_size":[496,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1102","image_path":"images/angle_estimation_1102.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1102_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1102_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1102_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"125","question_id":"angle_estimation_1102_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1102_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[270.7191,90.6553],[389.132,176.6893]],"scene_type":"single","seed":1102,"vertex":[248.0,248.5]}
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-{"angle_degrees":331.237636,"arc_sweep_degrees":331.237636,"canvas_size":[466,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1104","image_path":"images/angle_estimation_1104.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1104_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_1104_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1104_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"151","question_id":"angle_estimation_1104_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1104_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[179.0754,365.0279],[244.5862,400.625]],"scene_type":"single","seed":1104,"vertex":[233.0,246.5]}
-{"angle_degrees":29.999969,"arc_sweep_degrees":29.999969,"canvas_size":[498,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1105","image_path":"images/angle_estimation_1105.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1105_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_1105_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1105_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_1105_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1105_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[387.7154,241.8482],[384.894,321.7427]],"scene_type":"single","seed":1105,"vertex":[249.0,237.5]}
-{"angle_degrees":123.143284,"arc_sweep_degrees":123.143284,"canvas_size":[479,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1106","image_path":"images/angle_estimation_1106.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1106_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_1106_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1106_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"57","question_id":"angle_estimation_1106_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1106_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[276.707,420.6624],[87.352,192.0695]],"scene_type":"single","seed":1106,"vertex":[239.5,250.0]}
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-{"angle_degrees":224.99179,"arc_sweep_degrees":224.99179,"canvas_size":[465,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1108","image_path":"images/angle_estimation_1108.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1108_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_1108_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1108_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"45","question_id":"angle_estimation_1108_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1108_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[86.1702,304.3102],[368.9589,335.1043]],"scene_type":"single","seed":1108,"vertex":[232.5,261.0]}
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-{"angle_1_degrees":110.602761,"angle_2_degrees":23.755287,"angles":[{"angle_degrees":110.602761,"arc_sweep_degrees":110.602761,"ray_endpoints":[[43.2369,204.9961],[225.0066,196.8651]],"vertex":[129.6,263.91]},{"angle_degrees":23.755287,"arc_sweep_degrees":23.755287,"ray_endpoints":[[408.4969,210.9636],[466.9138,224.7235]],"vertex":[350.4,263.91]}],"canvas_size":[480,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1110","image_path":"images/angle_estimation_1110.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1110_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1110_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1110_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1110_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1110_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1110}
-{"angle_1_degrees":68.261138,"angle_2_degrees":23.374315,"angles":[{"angle_degrees":68.261138,"arc_sweep_degrees":68.261138,"ray_endpoints":[[74.9239,344.2567],[14.2278,243.7703]],"vertex":[125.01,263.34]},{"angle_degrees":23.374315,"arc_sweep_degrees":23.374315,"ray_endpoints":[[268.7522,187.9937],[297.6752,147.6136]],"vertex":[337.99,263.34]}],"canvas_size":[463,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1111","image_path":"images/angle_estimation_1111.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1111_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1111_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1111_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1111_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1111_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1111}
-{"angle_1_degrees":50.707625,"angle_2_degrees":130.209566,"angles":[{"angle_degrees":50.707625,"arc_sweep_degrees":50.707625,"ray_endpoints":[[115.1073,183.3526],[219.1251,156.555]],"vertex":[126.36,258.78]},{"angle_degrees":130.209566,"arc_sweep_degrees":130.209566,"ray_endpoints":[[383.9414,170.88],[399.2092,387.5288]],"vertex":[341.64,258.78]}],"canvas_size":[468,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1112","image_path":"images/angle_estimation_1112.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1112_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1112_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1112_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1112_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1112_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1112}
-{"angle_1_degrees":28.523491,"angle_2_degrees":12.817055,"angles":[{"angle_degrees":28.523491,"arc_sweep_degrees":28.523491,"ray_endpoints":[[18.2249,212.8403],[54.5714,171.6256]],"vertex":[121.77,258.21]},{"angle_degrees":12.817055,"arc_sweep_degrees":12.817055,"ray_endpoints":[[396.4031,296.7132],[423.0397,344.5877]],"vertex":[329.23,258.21]}],"canvas_size":[451,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1113","image_path":"images/angle_estimation_1113.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1113_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1113_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1113_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1113_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1113_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1113}
-{"angle_1_degrees":66.547424,"angle_2_degrees":21.387515,"angles":[{"angle_degrees":66.547424,"arc_sweep_degrees":66.547424,"ray_endpoints":[[202.6054,293.6241],[135.9133,405.5859]],"vertex":[130.41,265.62]},{"angle_degrees":21.387515,"arc_sweep_degrees":21.387515,"ray_endpoints":[[419.6604,187.4984],[468.9794,203.8255]],"vertex":[352.59,265.62]}],"canvas_size":[483,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1114","image_path":"images/angle_estimation_1114.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1114_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1114_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1114_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1114_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1114_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1114}
-{"angle_1_degrees":115.812859,"angle_2_degrees":54.100716,"angles":[{"angle_degrees":115.812859,"arc_sweep_degrees":115.812859,"ray_endpoints":[[51.4623,254.5272],[203.6884,160.9854]],"vertex":[126.09,267.9]},{"angle_degrees":54.100716,"arc_sweep_degrees":54.100716,"ray_endpoints":[[439.8089,267.3969],[423.695,381.0497]],"vertex":[340.91,267.9]}],"canvas_size":[467,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1115","image_path":"images/angle_estimation_1115.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1115_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1115_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1115_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1115_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1115_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1115}
-{"canvas_size":[486,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1116","image_path":"images/angle_estimation_1116.png","interior_angles_degrees":[90.053015,33.134664,56.81232],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1116_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1116_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1116_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1116_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1116_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1116,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.2271,376.2178],[431.0,376.2178],[55.0,130.7822]]}
-{"canvas_size":[479,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1117","image_path":"images/angle_estimation_1117.png","interior_angles_degrees":[89.561949,51.806534,38.631516],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1117_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1117_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1117_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1117_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1117_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1117,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[86.9784,449.0],[392.0216,449.0],[89.9143,65.0]]}
-{"canvas_size":[464,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1118","image_path":"images/angle_estimation_1118.png","interior_angles_degrees":[90.147908,37.864501,51.987591],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1118_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1118_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1118_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1118_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1118_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1118,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.7105,400.1147],[409.0,400.1147],[55.0,124.8853]]}
-{"canvas_size":[453,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1119","image_path":"images/angle_estimation_1119.png","interior_angles_degrees":[90.798802,43.786999,45.414199],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1119_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1119_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1119_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1119_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1119_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1119,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[59.584,421.8879],[398.0,421.8879],[55.0,93.1121]]}
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-{"angle_degrees":53.629176,"arc_sweep_degrees":53.629176,"canvas_size":[454,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1128","image_path":"images/angle_estimation_1128.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1128_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1128_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1128_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"126","question_id":"angle_estimation_1128_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1128_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[324.1582,341.0849],[213.1891,392.7826]],"scene_type":"single","seed":1128,"vertex":[227.0,253.5]}
-{"angle_1_degrees":142.271501,"angle_2_degrees":122.779344,"angles":[{"angle_degrees":142.271501,"arc_sweep_degrees":142.271501,"ray_endpoints":[[56.1117,308.2837],[197.7874,157.0157]],"vertex":[133.92,274.17]},{"angle_degrees":122.779344,"arc_sweep_degrees":122.779344,"ray_endpoints":[[436.1201,243.6322],[338.6792,402.1026]],"vertex":[362.08,274.17]}],"canvas_size":[496,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1129","image_path":"images/angle_estimation_1129.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1129_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1129_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1129_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1129_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1129_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1129}
-{"angle_1_degrees":61.188678,"angle_2_degrees":39.283855,"angles":[{"angle_degrees":61.188678,"arc_sweep_degrees":61.188678,"ray_endpoints":[[156.151,351.1401],[30.7573,373.6657]],"vertex":[130.68,269.61]},{"angle_degrees":39.283855,"arc_sweep_degrees":39.283855,"ray_endpoints":[[409.0181,355.95],[340.2402,385.1681]],"vertex":[353.32,269.61]}],"canvas_size":[484,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1130","image_path":"images/angle_estimation_1130.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1130_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1130_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1130_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1130_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1130_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1130}
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-{"angle_1_degrees":26.193848,"angle_2_degrees":103.706994,"angles":[{"angle_degrees":26.193848,"arc_sweep_degrees":26.193848,"ray_endpoints":[[79.3966,210.9949],[111.9152,164.6368]],"vertex":[130.68,283.86]},{"angle_degrees":103.706994,"arc_sweep_degrees":103.706994,"ray_endpoints":[[285.9147,249.4681],[424.36,201.3815]],"vertex":[353.32,283.86]}],"canvas_size":[484,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1132","image_path":"images/angle_estimation_1132.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1132_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1132_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1132_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1132_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1132_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1132}
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-{"angle_1_degrees":37.089034,"angle_2_degrees":143.013584,"angles":[{"angle_degrees":37.089034,"arc_sweep_degrees":37.089034,"ray_endpoints":[[50.2723,242.2911],[57.6478,151.1232]],"vertex":[122.04,277.02]},{"angle_degrees":143.013584,"arc_sweep_degrees":143.013584,"ray_endpoints":[[338.7169,198.922],[397.3472,391.0167]],"vertex":[329.96,277.02]}],"canvas_size":[452,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1134","image_path":"images/angle_estimation_1134.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1134_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1134_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_1134_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1134_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1134_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1134}
-{"angle_1_degrees":33.495448,"angle_2_degrees":103.222064,"angles":[{"angle_degrees":33.495448,"arc_sweep_degrees":33.495448,"ray_endpoints":[[165.0653,348.2537],[111.404,395.7042]],"vertex":[130.68,273.03]},{"angle_degrees":103.222064,"arc_sweep_degrees":103.222064,"ray_endpoints":[[466.5527,266.5832],[331.3311,398.2015]],"vertex":[353.32,273.03]}],"canvas_size":[484,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1135","image_path":"images/angle_estimation_1135.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1135_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1135_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1135_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1135_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1135_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1135}
-{"canvas_size":[452,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1136","image_path":"images/angle_estimation_1136.png","interior_angles_degrees":[137.192758,19.163296,23.643946],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1136_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1136_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1136_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1136_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1136_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1136,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[183.3153,300.4257],[397.0,300.4257],[55.0,181.5743]]}
-{"canvas_size":[475,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1137","image_path":"images/angle_estimation_1137.png","interior_angles_degrees":[126.711477,22.866605,30.421918],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1137_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1137_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1137_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1137_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1137_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1137,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[169.7849,334.9657],[420.0,334.9657],[55.0,181.0343]]}
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-{"canvas_size":[457,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1139","image_path":"images/angle_estimation_1139.png","interior_angles_degrees":[136.202826,22.934804,20.862369],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1139_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1139_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1139_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1139_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1139_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1139,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[208.1249,328.4135],[402.0,328.4135],[55.0,181.5865]]}
-{"canvas_size":[473,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1140","image_path":"images/angle_estimation_1140.png","interior_angles_degrees":[133.885944,23.541682,22.572373],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1140_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1140_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1140_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1140_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1140_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1140,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[207.1174,342.0755],[418.0,342.0755],[55.0,183.9245]]}
-{"angle_degrees":49.201698,"arc_sweep_degrees":49.201698,"canvas_size":[475,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1141","image_path":"images/angle_estimation_1141.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1141_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_1141_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1141_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"131","question_id":"angle_estimation_1141_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1141_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[233.7549,66.8113],[335.3044,153.3547]],"scene_type":"single","seed":1141,"vertex":[237.5,241.5]}
-{"angle_degrees":115.029615,"arc_sweep_degrees":115.029615,"canvas_size":[454,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1142","image_path":"images/angle_estimation_1142.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1142_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_1142_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1142_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"65","question_id":"angle_estimation_1142_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1142_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[154.6837,117.2926],[371.4044,231.4174]],"scene_type":"single","seed":1142,"vertex":[227.0,243.5]}
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-{"angle_degrees":244.581225,"arc_sweep_degrees":244.581225,"canvas_size":[478,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1148","image_path":"images/angle_estimation_1148.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1148_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_1148_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1148_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"65","question_id":"angle_estimation_1148_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1148_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[331.4751,344.4101],[287.1618,121.0442]],"scene_type":"single","seed":1148,"vertex":[239.0,248.0]}
-{"angle_1_degrees":86.876222,"angle_2_degrees":13.5898,"angles":[{"angle_degrees":86.876222,"arc_sweep_degrees":86.876222,"ray_endpoints":[[192.8347,212.8485],[228.1636,368.1273]],"vertex":[131.22,264.48]},{"angle_degrees":13.5898,"arc_sweep_degrees":13.5898,"ray_endpoints":[[380.7455,169.1602],[414.756,155.5088]],"vertex":[354.78,264.48]}],"canvas_size":[486,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1149","image_path":"images/angle_estimation_1149.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1149_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1149_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1149_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1149_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1149_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1149}
-{"angle_1_degrees":50.38681,"angle_2_degrees":139.291956,"angles":[{"angle_degrees":50.38681,"arc_sweep_degrees":50.38681,"ray_endpoints":[[79.7101,209.7235],[157.0405,145.6768]],"vertex":[123.66,271.32]},{"angle_degrees":139.291956,"arc_sweep_degrees":139.291956,"ray_endpoints":[[318.6245,361.3517],[262.033,150.0553]],"vertex":[334.34,271.32]}],"canvas_size":[458,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1150","image_path":"images/angle_estimation_1150.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1150_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1150_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1150_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1150_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1150_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1150}
-{"angle_1_degrees":161.265702,"angle_2_degrees":50.11044,"angles":[{"angle_degrees":161.265702,"arc_sweep_degrees":161.265702,"ray_endpoints":[[74.2447,175.1632],[215.3727,371.929]],"vertex":[123.66,278.16]},{"angle_degrees":50.11044,"arc_sweep_degrees":50.11044,"ray_endpoints":[[419.596,244.1977],[435.9608,333.0838]],"vertex":[334.34,278.16]}],"canvas_size":[458,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1151","image_path":"images/angle_estimation_1151.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1151_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1151_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_1151_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1151_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1151_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1151}
-{"angle_1_degrees":28.096774,"angle_2_degrees":63.044458,"angles":[{"angle_degrees":28.096774,"arc_sweep_degrees":28.096774,"ray_endpoints":[[147.955,362.0338],[89.9406,412.3728]],"vertex":[131.22,277.02]},{"angle_degrees":63.044458,"arc_sweep_degrees":63.044458,"ray_endpoints":[[364.5017,169.2668],[458.7663,235.4281]],"vertex":[354.78,277.02]}],"canvas_size":[486,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1152","image_path":"images/angle_estimation_1152.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1152_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1152_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1152_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1152_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1152_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1152}
-{"angle_1_degrees":141.55386,"angle_2_degrees":46.782072,"angles":[{"angle_degrees":141.55386,"arc_sweep_degrees":141.55386,"ray_endpoints":[[64.6561,348.414],[118.9321,134.4849]],"vertex":[122.58,271.32]},{"angle_degrees":46.782072,"arc_sweep_degrees":46.782072,"ray_endpoints":[[360.1978,354.2437],[264.8319,398.4573]],"vertex":[331.42,271.32]}],"canvas_size":[454,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1153","image_path":"images/angle_estimation_1153.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1153_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1153_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1153_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1153_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1153_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1153}
-{"angle_1_degrees":75.075722,"angle_2_degrees":147.241859,"angles":[{"angle_degrees":75.075722,"arc_sweep_degrees":75.075722,"ray_endpoints":[[229.4195,241.8212],[186.9719,385.286]],"vertex":[130.68,257.07]},{"angle_degrees":147.241859,"arc_sweep_degrees":147.241859,"ray_endpoints":[[391.5448,164.2461],[377.9203,391.4192]],"vertex":[353.32,257.07]}],"canvas_size":[484,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1154","image_path":"images/angle_estimation_1154.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1154_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1154_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1154_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1154_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1154_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1154}
-{"angle_1_degrees":36.791988,"angle_2_degrees":50.393701,"angles":[{"angle_degrees":36.791988,"arc_sweep_degrees":36.791988,"ray_endpoints":[[148.1825,366.8328],[83.6208,389.7554]],"vertex":[124.74,283.29]},{"angle_degrees":50.393701,"arc_sweep_degrees":50.393701,"ray_endpoints":[[428.5475,337.0219],[356.5562,403.4219]],"vertex":[337.26,283.29]}],"canvas_size":[462,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1155","image_path":"images/angle_estimation_1155.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1155_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1155_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1155_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1155_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1155_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1155}
-{"canvas_size":[488,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1156","image_path":"images/angle_estimation_1156.png","interior_angles_degrees":[54.204315,54.921897,70.873788],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1156_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1156_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1156_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1156_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1156_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1156,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,375.7854],[433.0,375.7854],[246.5053,110.2146]]}
-{"canvas_size":[486,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1157","image_path":"images/angle_estimation_1157.png","interior_angles_degrees":[68.17348,36.868106,74.958413],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1157_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1157_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1157_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1157_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1157_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1157,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,372.9243],[431.0,372.9243],[141.8497,156.0757]]}
-{"canvas_size":[498,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1158","image_path":"images/angle_estimation_1158.png","interior_angles_degrees":[55.649727,60.398639,63.951634],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1158_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1158_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1158_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1158_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1158_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1158,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,404.0077],[443.0,404.0077],[266.877,93.9923]]}
-{"canvas_size":[462,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1159","image_path":"images/angle_estimation_1159.png","interior_angles_degrees":[58.194362,61.915993,59.889645],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1159_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1159_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_1159_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1159_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1159_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1159,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,405.0455],[407.0,405.0455],[244.206,99.9545]]}
-{"canvas_size":[478,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1160","image_path":"images/angle_estimation_1160.png","interior_angles_degrees":[58.312228,66.599775,55.087996],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1160_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1160_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_1160_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1160_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1160_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1160,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,422.2279],[423.0,422.2279],[271.3426,71.7721]]}
-{"angle_degrees":204.152735,"arc_sweep_degrees":204.152735,"canvas_size":[485,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1161","image_path":"images/angle_estimation_1161.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1161_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_1161_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1161_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"24","question_id":"angle_estimation_1161_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1161_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[343.6898,389.0222],[219.7485,136.2568]],"scene_type":"single","seed":1161,"vertex":[242.5,248.0]}
-{"angle_degrees":331.403817,"arc_sweep_degrees":331.403817,"canvas_size":[480,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1162","image_path":"images/angle_estimation_1162.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1162_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_1162_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1162_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"151","question_id":"angle_estimation_1162_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1162_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[137.8049,332.8815],[205.1405,342.0084]],"scene_type":"single","seed":1162,"vertex":[240.0,238.0]}
-{"angle_degrees":158.75336,"arc_sweep_degrees":158.75336,"canvas_size":[453,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1163","image_path":"images/angle_estimation_1163.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1163_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1163_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1163_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"21","question_id":"angle_estimation_1163_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1163_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[373.0301,244.2983],[111.3898,285.6376]],"scene_type":"single","seed":1163,"vertex":[226.5,242.5]}
-{"angle_degrees":296.08785,"arc_sweep_degrees":296.08785,"canvas_size":[460,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1164","image_path":"images/angle_estimation_1164.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1164_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_1164_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1164_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"116","question_id":"angle_estimation_1164_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1164_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[292.1458,394.311],[352.2752,251.7471]],"scene_type":"single","seed":1164,"vertex":[230.0,244.0]}
-{"angle_degrees":59.999993,"arc_sweep_degrees":59.999993,"canvas_size":[459,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1165","image_path":"images/angle_estimation_1165.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1165_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1165_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1165_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_1165_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1165_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[157.5658,365.7959],[68.9327,246.4337]],"scene_type":"single","seed":1165,"vertex":[229.5,254.5]}
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-{"angle_degrees":154.173137,"arc_sweep_degrees":154.173137,"canvas_size":[496,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1167","image_path":"images/angle_estimation_1167.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1167_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1167_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1167_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"26","question_id":"angle_estimation_1167_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1167_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[374.5434,222.873],[152.1146,311.9038]],"scene_type":"single","seed":1167,"vertex":[248.0,244.0]}
-{"angle_degrees":304.825881,"arc_sweep_degrees":304.825881,"canvas_size":[488,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1168","image_path":"images/angle_estimation_1168.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1168_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_1168_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1168_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"125","question_id":"angle_estimation_1168_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1168_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[380.8183,188.5831],[266.7941,102.6215]],"scene_type":"single","seed":1168,"vertex":[244.0,256.5]}
-{"angle_1_degrees":54.135612,"angle_2_degrees":123.395242,"angles":[{"angle_degrees":54.135612,"arc_sweep_degrees":54.135612,"ray_endpoints":[[206.2183,322.62],[134.6799,391.4472]],"vertex":[121.77,274.74]},{"angle_degrees":123.395242,"arc_sweep_degrees":123.395242,"ray_endpoints":[[344.7222,192.5892],[420.1374,362.7579]],"vertex":[329.23,274.74]}],"canvas_size":[451,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1169","image_path":"images/angle_estimation_1169.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1169_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1169_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1169_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1169_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1169_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1169}
-{"angle_1_degrees":32.353334,"angle_2_degrees":78.861578,"angles":[{"angle_degrees":32.353334,"arc_sweep_degrees":32.353334,"ray_endpoints":[[155.5214,346.0176],[97.9345,391.2704]],"vertex":[122.04,262.2]},{"angle_degrees":78.861578,"arc_sweep_degrees":78.861578,"ray_endpoints":[[243.2367,309.1559],[253.7077,169.9335]],"vertex":[329.96,262.2]}],"canvas_size":[452,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1170","image_path":"images/angle_estimation_1170.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1170_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1170_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1170_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1170_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1170_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1170}
-{"angle_1_degrees":38.152878,"angle_2_degrees":58.099177,"angles":[{"angle_degrees":38.152878,"arc_sweep_degrees":38.152878,"ray_endpoints":[[58.7567,263.4415],[43.0364,183.8798]],"vertex":[133.92,270.75]},{"angle_degrees":58.099177,"arc_sweep_degrees":58.099177,"ray_endpoints":[[443.6757,215.5789],[478.9219,322.8557]],"vertex":[362.08,270.75]}],"canvas_size":[496,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1171","image_path":"images/angle_estimation_1171.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1171_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1171_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1171_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1171_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1171_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1171}
-{"angle_1_degrees":74.19295,"angle_2_degrees":96.150691,"angles":[{"angle_degrees":74.19295,"arc_sweep_degrees":74.19295,"ray_endpoints":[[226.2659,324.3074],[114.4284,414.8821]],"vertex":[130.95,283.86]},{"angle_degrees":96.150691,"arc_sweep_degrees":96.150691,"ray_endpoints":[[432.1174,247.7426],[390.5731,391.9079]],"vertex":[354.05,283.86]}],"canvas_size":[485,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1172","image_path":"images/angle_estimation_1172.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1172_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1172_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1172_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1172_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1172_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1172}
-{"angle_1_degrees":151.845615,"angle_2_degrees":65.28747,"angles":[{"angle_degrees":151.845615,"arc_sweep_degrees":151.845615,"ray_endpoints":[[86.6548,325.0745],[142.9992,118.8395]],"vertex":[128.52,262.77]},{"angle_degrees":65.28747,"arc_sweep_degrees":65.28747,"ray_endpoints":[[391.027,366.5131],[274.7436,342.101]],"vertex":[347.48,262.77]}],"canvas_size":[476,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1173","image_path":"images/angle_estimation_1173.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1173_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1173_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1173_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1173_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1173_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1173}
-{"angle_1_degrees":57.810807,"angle_2_degrees":29.520626,"angles":[{"angle_degrees":57.810807,"arc_sweep_degrees":57.810807,"ray_endpoints":[[46.5806,218.7249],[128.1731,165.4793]],"vertex":[125.28,271.32]},{"angle_degrees":29.520626,"arc_sweep_degrees":29.520626,"ray_endpoints":[[278.9972,203.8716],[314.5705,157.7343]],"vertex":[338.72,271.32]}],"canvas_size":[464,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1174","image_path":"images/angle_estimation_1174.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1174_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1174_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1174_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1174_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1174_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1174}
-{"angle_1_degrees":129.161938,"angle_2_degrees":55.936379,"angles":[{"angle_degrees":129.161938,"arc_sweep_degrees":129.161938,"ray_endpoints":[[93.5604,364.4285],[60.9155,153.9024]],"vertex":[128.79,277.59]},{"angle_degrees":55.936379,"arc_sweep_degrees":55.936379,"ray_endpoints":[[411.0643,221.7082],[463.0205,306.8486]],"vertex":[348.21,277.59]}],"canvas_size":[477,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1175","image_path":"images/angle_estimation_1175.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1175_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1175_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1175_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1175_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1175_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1175}
-{"canvas_size":[500,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1176","image_path":"images/angle_estimation_1176.png","interior_angles_degrees":[90.341208,33.959539,55.699253],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1176_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1176_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1176_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1176_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1176_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1176,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.5642,389.3289],[445.0,389.3289],[55.0,126.6711]]}
-{"canvas_size":[475,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1177","image_path":"images/angle_estimation_1177.png","interior_angles_degrees":[89.990445,46.858356,43.151199],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1177_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1177_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1177_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1177_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1177_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1177,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[65.5028,432.0],[409.4972,432.0],[65.564,65.0]]}
-{"canvas_size":[488,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1178","image_path":"images/angle_estimation_1178.png","interior_angles_degrees":[89.507313,41.802864,48.689823],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1178_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1178_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1178_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1178_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1178_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1178,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,423.2129],[433.0,423.2129],[57.8844,87.7871]]}
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-{"angle_degrees":96.204573,"arc_sweep_degrees":96.204573,"canvas_size":[482,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1184","image_path":"images/angle_estimation_1184.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1184_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_1184_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1184_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"84","question_id":"angle_estimation_1184_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1184_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[351.9526,304.2833],[163.8067,350.172]],"scene_type":"single","seed":1184,"vertex":[241.0,242.0]}
-{"angle_degrees":30.000001,"arc_sweep_degrees":30.000001,"canvas_size":[466,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1185","image_path":"images/angle_estimation_1185.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1185_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_1185_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1185_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_1185_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1185_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[200.9768,398.9699],[141.2901,342.944]],"scene_type":"single","seed":1185,"vertex":[233.0,238.5]}
-{"angle_degrees":232.224431,"arc_sweep_degrees":232.224431,"canvas_size":[466,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1186","image_path":"images/angle_estimation_1186.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1186_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_1186_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1186_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"52","question_id":"angle_estimation_1186_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1186_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[87.7752,309.3694],[330.4916,298.3999]],"scene_type":"single","seed":1186,"vertex":[233.0,245.5]}
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-{"angle_degrees":319.057154,"arc_sweep_degrees":319.057154,"canvas_size":[487,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1188","image_path":"images/angle_estimation_1188.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1188_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_1188_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1188_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"139","question_id":"angle_estimation_1188_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1188_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[352.8942,354.534],[375.6431,257.4368]],"scene_type":"single","seed":1188,"vertex":[243.5,253.0]}
-{"angle_1_degrees":117.701755,"angle_2_degrees":130.103185,"angles":[{"angle_degrees":117.701755,"arc_sweep_degrees":117.701755,"ray_endpoints":[[138.5811,375.1791],[19.0129,230.9493]],"vertex":[131.22,279.3]},{"angle_degrees":130.103185,"arc_sweep_degrees":130.103185,"ray_endpoints":[[378.1608,190.5106],[420.7892,373.0681]],"vertex":[354.78,279.3]}],"canvas_size":[486,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1189","image_path":"images/angle_estimation_1189.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1189_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1189_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1189_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1189_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1189_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1189}
-{"angle_1_degrees":69.899166,"angle_2_degrees":28.840782,"angles":[{"angle_degrees":69.899166,"arc_sweep_degrees":69.899166,"ray_endpoints":[[59.3703,198.1393],[194.7619,149.0847]],"vertex":[129.06,274.74]},{"angle_degrees":28.840782,"arc_sweep_degrees":28.840782,"ray_endpoints":[[396.8555,181.6592],[441.5832,212.437]],"vertex":[348.94,274.74]}],"canvas_size":[478,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1190","image_path":"images/angle_estimation_1190.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1190_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1190_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1190_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1190_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1190_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1190}
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-{"angle_1_degrees":32.540942,"angle_2_degrees":127.085405,"angles":[{"angle_degrees":32.540942,"arc_sweep_degrees":32.540942,"ray_endpoints":[[147.4077,197.5919],[216.8636,189.2141]],"vertex":[134.19,283.29]},{"angle_degrees":127.085405,"arc_sweep_degrees":127.085405,"ray_endpoints":[[267.5261,310.3964],[412.5663,155.0464]],"vertex":[362.81,283.29]}],"canvas_size":[497,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1192","image_path":"images/angle_estimation_1192.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1192_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1192_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1192_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1192_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1192_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1192}
-{"angle_1_degrees":33.114373,"angle_2_degrees":45.271808,"angles":[{"angle_degrees":33.114373,"arc_sweep_degrees":33.114373,"ray_endpoints":[[204.4169,343.9746],[166.193,408.9715]],"vertex":[126.63,278.73]},{"angle_degrees":45.271808,"arc_sweep_degrees":45.271808,"ray_endpoints":[[284.6015,196.3755],[365.5064,150.4469]],"vertex":[342.37,278.73]}],"canvas_size":[469,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1193","image_path":"images/angle_estimation_1193.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1193_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1193_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1193_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1193_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1193_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1193}
-{"angle_1_degrees":134.64493,"angle_2_degrees":54.548829,"angles":[{"angle_degrees":134.64493,"arc_sweep_degrees":134.64493,"ray_endpoints":[[193.2011,362.9816],[22.8274,244.6213]],"vertex":[132.3,267.9]},{"angle_degrees":54.548829,"arc_sweep_degrees":54.548829,"ray_endpoints":[[326.1532,157.7671],[431.133,175.7962]],"vertex":[357.7,267.9]}],"canvas_size":[490,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1194","image_path":"images/angle_estimation_1194.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1194_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1194_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1194_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1194_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1194_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1194}
-{"angle_1_degrees":59.222339,"angle_2_degrees":90.508096,"angles":[{"angle_degrees":59.222339,"arc_sweep_degrees":59.222339,"ray_endpoints":[[61.2886,225.3326],[138.9449,149.6835]],"vertex":[126.63,273.6]},{"angle_degrees":90.508096,"arc_sweep_degrees":90.508096,"ray_endpoints":[[273.5381,194.5191],[449.7398,181.8062]],"vertex":[342.37,273.6]}],"canvas_size":[469,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1195","image_path":"images/angle_estimation_1195.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1195_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1195_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1195_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1195_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1195_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1195}
-{"canvas_size":[460,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1196","image_path":"images/angle_estimation_1196.png","interior_angles_degrees":[120.179523,25.503169,34.317308],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1196_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1196_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1196_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1196_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1196_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1196,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[152.0962,331.4826],[405.0,331.4826],[55.0,164.5174]]}
-{"canvas_size":[492,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1197","image_path":"images/angle_estimation_1197.png","interior_angles_degrees":[101.573023,33.260827,45.16615],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1197_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1197_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1197_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1197_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1197_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1197,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[106.3083,372.7767],[437.0,372.7767],[55.0,122.2233]]}
-{"canvas_size":[470,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1198","image_path":"images/angle_estimation_1198.png","interior_angles_degrees":[104.619051,41.596711,33.784238],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1198_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1198_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1198_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1198_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1198_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1198,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[138.3594,419.293],[415.0,419.293],[55.0,99.707]]}
-{"canvas_size":[497,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1199","image_path":"images/angle_estimation_1199.png","interior_angles_degrees":[107.20754,25.399818,47.392642],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1199_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1199_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1199_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1199_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1199_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1199,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[111.9096,334.3798],[442.0,334.3798],[55.0,150.6202]]}
-{"canvas_size":[469,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1200","image_path":"images/angle_estimation_1200.png","interior_angles_degrees":[138.805218,21.026037,20.168745],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1200_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1200_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1200_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1200_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1200_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1200,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[212.6587,328.4972],[414.0,328.4972],[55.0,190.5028]]}
-{"angle_degrees":135.004538,"arc_sweep_degrees":135.004538,"canvas_size":[462,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1201","image_path":"images/angle_estimation_1201.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1201_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1201_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1201_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"45","question_id":"angle_estimation_1201_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1201_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[362.9483,183.8057],[192.426,342.8646]],"scene_type":"single","seed":1201,"vertex":[231.0,242.5]}
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-{"angle_degrees":179.999992,"arc_sweep_degrees":179.999992,"canvas_size":[491,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1205","image_path":"images/angle_estimation_1205.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1205_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_1205_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1205_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_1205_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1205_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[105.4047,287.7198],[383.1177,212.9473]],"scene_type":"single","seed":1205,"vertex":[245.5,250.0]}
-{"angle_degrees":106.087781,"arc_sweep_degrees":106.087781,"canvas_size":[471,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1206","image_path":"images/angle_estimation_1206.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1206_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_1206_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1206_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"74","question_id":"angle_estimation_1206_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1206_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[307.0003,409.5477],[102.1285,284.2752]],"scene_type":"single","seed":1206,"vertex":[235.5,261.5]}
-{"angle_degrees":19.664281,"arc_sweep_degrees":19.664281,"canvas_size":[495,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1207","image_path":"images/angle_estimation_1207.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1207_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_1207_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1207_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"160","question_id":"angle_estimation_1207_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1207_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[386.3999,348.3601],[341.7918,382.1241]],"scene_type":"single","seed":1207,"vertex":[247.5,257.0]}
-{"angle_degrees":231.731497,"arc_sweep_degrees":231.731497,"canvas_size":[451,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1208","image_path":"images/angle_estimation_1208.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1208_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_1208_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1208_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"52","question_id":"angle_estimation_1208_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1208_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[382.0322,182.7124],[116.5533,171.0458]],"scene_type":"single","seed":1208,"vertex":[225.5,239.0]}
-{"angle_1_degrees":40.248756,"angle_2_degrees":60.461296,"angles":[{"angle_degrees":40.248756,"arc_sweep_degrees":40.248756,"ray_endpoints":[[131.277,334.6761],[49.8481,354.0599]],"vertex":[130.68,257.07]},{"angle_degrees":60.461296,"arc_sweep_degrees":60.461296,"ray_endpoints":[[376.8937,348.2803],[261.5207,345.8123]],"vertex":[353.32,257.07]}],"canvas_size":[484,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1209","image_path":"images/angle_estimation_1209.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1209_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1209_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1209_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1209_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1209_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1209}
-{"angle_1_degrees":69.561839,"angle_2_degrees":101.024413,"angles":[{"angle_degrees":69.561839,"arc_sweep_degrees":69.561839,"ray_endpoints":[[137.3144,372.1828],[18.9671,332.2605]],"vertex":[122.58,274.74]},{"angle_degrees":101.024413,"arc_sweep_degrees":101.024413,"ray_endpoints":[[285.8356,204.7116],[434.6422,232.9572]],"vertex":[331.42,274.74]}],"canvas_size":[454,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1210","image_path":"images/angle_estimation_1210.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1210_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1210_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1210_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1210_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1210_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1210}
-{"angle_1_degrees":13.488057,"angle_2_degrees":51.004726,"angles":[{"angle_degrees":13.488057,"arc_sweep_degrees":13.488057,"ray_endpoints":[[61.7834,359.0548],[22.4133,359.105]],"vertex":[126.36,279.3]},{"angle_degrees":51.004726,"arc_sweep_degrees":51.004726,"ray_endpoints":[[401.8713,336.1049],[331.2033,417.209]],"vertex":[341.64,279.3]}],"canvas_size":[468,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1211","image_path":"images/angle_estimation_1211.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1211_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1211_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1211_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1211_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1211_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1211}
-{"angle_1_degrees":38.562479,"angle_2_degrees":59.781023,"angles":[{"angle_degrees":38.562479,"arc_sweep_degrees":38.562479,"ray_endpoints":[[46.0237,233.7775],[83.2416,156.1609]],"vertex":[135.0,283.86]},{"angle_degrees":59.781023,"arc_sweep_degrees":59.781023,"ray_endpoints":[[464.2373,340.8305],[365.8272,415.6747]],"vertex":[365.0,283.86]}],"canvas_size":[500,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1212","image_path":"images/angle_estimation_1212.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1212_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1212_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1212_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1212_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1212_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1212}
-{"angle_1_degrees":101.600026,"angle_2_degrees":91.112429,"angles":[{"angle_degrees":101.600026,"arc_sweep_degrees":101.600026,"ray_endpoints":[[19.0993,296.3286],[130.9313,130.0921]],"vertex":[130.14,274.17]},{"angle_degrees":91.112429,"arc_sweep_degrees":91.112429,"ray_endpoints":[[428.6564,235.2696],[405.1812,384.7085]],"vertex":[351.86,274.17]}],"canvas_size":[482,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1213","image_path":"images/angle_estimation_1213.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1213_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1213_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1213_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1213_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1213_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1213}
-{"angle_1_degrees":90.203083,"angle_2_degrees":67.222781,"angles":[{"angle_degrees":90.203083,"arc_sweep_degrees":90.203083,"ray_endpoints":[[42.5181,217.4733],[201.3334,179.8333]],"vertex":[126.09,279.87]},{"angle_degrees":67.222781,"arc_sweep_degrees":67.222781,"ray_endpoints":[[256.6118,244.2663],[341.1403,169.6809]],"vertex":[340.91,279.87]}],"canvas_size":[467,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1214","image_path":"images/angle_estimation_1214.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1214_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1214_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1214_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1214_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1214_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1214}
-{"angle_1_degrees":42.175637,"angle_2_degrees":50.949071,"angles":[{"angle_degrees":42.175637,"arc_sweep_degrees":42.175637,"ray_endpoints":[[158.9756,366.2905],[82.4922,391.546]],"vertex":[129.06,281.01]},{"angle_degrees":50.949071,"arc_sweep_degrees":50.949071,"ray_endpoints":[[392.6702,344.3491],[315.4713,395.2617]],"vertex":[348.94,281.01]}],"canvas_size":[478,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1215","image_path":"images/angle_estimation_1215.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1215_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1215_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1215_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1215_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1215_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1215}
-{"canvas_size":[484,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1216","image_path":"images/angle_estimation_1216.png","interior_angles_degrees":[44.12726,77.915091,57.957649],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1216_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1216_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_1216_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1216_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1216_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1216,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,393.6955],[429.0,393.6955],[364.6845,93.3045]]}
-{"canvas_size":[453,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1217","image_path":"images/angle_estimation_1217.png","interior_angles_degrees":[64.352956,56.165859,59.481185],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1217_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1217_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1217_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1217_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1217_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1217,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,405.5741],[398.0,405.5741],[198.1498,107.4259]]}
-{"canvas_size":[484,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1218","image_path":"images/angle_estimation_1218.png","interior_angles_degrees":[48.368761,45.317786,86.313454],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1218_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1218_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1218_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1218_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1218_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1218,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,344.0854],[429.0,344.0854],[232.0264,144.9146]]}
-{"canvas_size":[483,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1219","image_path":"images/angle_estimation_1219.png","interior_angles_degrees":[54.01986,43.042863,82.937277],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1219_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1219_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1219_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1219_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1219_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1219,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,355.7971],[428.0,355.7971],[205.7161,148.2029]]}
-{"canvas_size":[467,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1220","image_path":"images/angle_estimation_1220.png","interior_angles_degrees":[52.153133,67.147571,60.699296],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1220_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1220_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_1220_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1220_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1220_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1220,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,408.945],[412.0,408.945],[286.4577,111.055]]}
-{"angle_degrees":289.430383,"arc_sweep_degrees":289.430383,"canvas_size":[453,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1221","image_path":"images/angle_estimation_1221.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1221_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_1221_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1221_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"109","question_id":"angle_estimation_1221_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1221_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[159.9511,390.2864],[305.5745,328.5492]],"scene_type":"single","seed":1221,"vertex":[226.5,250.0]}
-{"angle_degrees":149.393569,"arc_sweep_degrees":149.393569,"canvas_size":[486,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1222","image_path":"images/angle_estimation_1222.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1222_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1222_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1222_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"31","question_id":"angle_estimation_1222_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1222_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[259.4569,99.186],[286.8048,348.7112]],"scene_type":"single","seed":1222,"vertex":[243.0,252.5]}
-{"angle_degrees":159.043248,"arc_sweep_degrees":159.043248,"canvas_size":[497,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1223","image_path":"images/angle_estimation_1223.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1223_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1223_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1223_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"21","question_id":"angle_estimation_1223_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1223_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[187.3366,398.4912],[253.5848,140.8021]],"scene_type":"single","seed":1223,"vertex":[248.5,257.5]}
-{"angle_degrees":251.0645,"arc_sweep_degrees":251.0645,"canvas_size":[456,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1224","image_path":"images/angle_estimation_1224.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1224_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_1224_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1224_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"71","question_id":"angle_estimation_1224_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1224_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[97.9447,303.0558],[335.2878,350.392]],"scene_type":"single","seed":1224,"vertex":[228.0,241.0]}
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-{"angle_degrees":68.64086,"arc_sweep_degrees":68.64086,"canvas_size":[457,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1228","image_path":"images/angle_estimation_1228.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1228_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1228_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1228_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"111","question_id":"angle_estimation_1228_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1228_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[203.3689,103.3295],[355.2708,169.9796]],"scene_type":"single","seed":1228,"vertex":[228.5,247.0]}
-{"angle_1_degrees":107.987413,"angle_2_degrees":71.906468,"angles":[{"angle_degrees":107.987413,"arc_sweep_degrees":107.987413,"ray_endpoints":[[186.5943,321.9686],[35.4323,330.2918]],"vertex":[123.66,271.89]},{"angle_degrees":71.906468,"arc_sweep_degrees":71.906468,"ray_endpoints":[[265.1425,190.8738],[400.7649,163.0907]],"vertex":[334.34,271.89]}],"canvas_size":[458,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1229","image_path":"images/angle_estimation_1229.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1229_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1229_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1229_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1229_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1229_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1229}
-{"angle_1_degrees":84.379123,"angle_2_degrees":29.522021,"angles":[{"angle_degrees":84.379123,"arc_sweep_degrees":84.379123,"ray_endpoints":[[39.4161,324.7544],[63.6986,170.4974]],"vertex":[130.95,280.44]},{"angle_degrees":29.522021,"arc_sweep_degrees":29.522021,"ray_endpoints":[[310.2391,365.8738],[260.3223,342.0755]],"vertex":[354.05,280.44]}],"canvas_size":[485,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1230","image_path":"images/angle_estimation_1230.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1230_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1230_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1230_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1230_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1230_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1230}
-{"angle_1_degrees":39.180396,"angle_2_degrees":51.295193,"angles":[{"angle_degrees":39.180396,"arc_sweep_degrees":39.180396,"ray_endpoints":[[122.1303,194.4122],[202.4803,171.1342]],"vertex":[127.98,277.02]},{"angle_degrees":51.295193,"arc_sweep_degrees":51.295193,"ray_endpoints":[[408.1052,366.3699],[307.7167,406.3173]],"vertex":[346.02,277.02]}],"canvas_size":[474,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1231","image_path":"images/angle_estimation_1231.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1231_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1231_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1231_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1231_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1231_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1231}
-{"angle_1_degrees":57.012123,"angle_2_degrees":127.894014,"angles":[{"angle_degrees":57.012123,"arc_sweep_degrees":57.012123,"ray_endpoints":[[78.1288,203.2058],[159.3242,152.1569]],"vertex":[131.22,261.06]},{"angle_degrees":127.894014,"arc_sweep_degrees":127.894014,"ray_endpoints":[[343.1532,173.1266],[453.2271,318.7306]],"vertex":[354.78,261.06]}],"canvas_size":[486,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1232","image_path":"images/angle_estimation_1232.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1232_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1232_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1232_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1232_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1232_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1232}
-{"angle_1_degrees":91.479743,"angle_2_degrees":39.533097,"angles":[{"angle_degrees":91.479743,"arc_sweep_degrees":91.479743,"ray_endpoints":[[191.3657,324.6759],[36.7869,363.5103]],"vertex":[126.9,267.33]},{"angle_degrees":39.533097,"arc_sweep_degrees":39.533097,"ray_endpoints":[[258.6086,256.9787],[249.3422,168.4685]],"vertex":[343.1,267.33]}],"canvas_size":[470,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1233","image_path":"images/angle_estimation_1233.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1233_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1233_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1233_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1233_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1233_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1233}
-{"angle_1_degrees":25.7475,"angle_2_degrees":66.741686,"angles":[{"angle_degrees":25.7475,"arc_sweep_degrees":25.7475,"ray_endpoints":[[89.5909,211.6939],[107.5141,130.5792]],"vertex":[134.73,272.46]},{"angle_degrees":66.741686,"arc_sweep_degrees":66.741686,"ray_endpoints":[[443.5375,323.6687],[343.6562,394.27]],"vertex":[364.27,272.46]}],"canvas_size":[499,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1234","image_path":"images/angle_estimation_1234.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1234_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1234_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1234_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1234_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1234_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1234}
-{"angle_1_degrees":65.820955,"angle_2_degrees":113.369369,"angles":[{"angle_degrees":65.820955,"arc_sweep_degrees":65.820955,"ray_endpoints":[[55.0039,320.705],[26.49,200.0492]],"vertex":[133.38,271.89]},{"angle_degrees":113.369369,"arc_sweep_degrees":113.369369,"ray_endpoints":[[277.7195,290.8092],[382.3162,154.9842]],"vertex":[360.62,271.89]}],"canvas_size":[494,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1235","image_path":"images/angle_estimation_1235.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1235_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1235_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1235_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1235_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1235_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1235}
-{"canvas_size":[484,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1236","image_path":"images/angle_estimation_1236.png","interior_angles_degrees":[90.639651,44.927768,44.432581],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1236_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1236_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1236_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1236_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1236_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1236,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[59.165,441.5291],[429.0,441.5291],[55.0,68.4709]]}
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-{"canvas_size":[451,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1238","image_path":"images/angle_estimation_1238.png","interior_angles_degrees":[91.097944,48.347923,40.554133],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1238_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1238_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1238_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1238_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1238_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1238,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[63.3582,446.0],[394.9437,446.0],[56.0563,65.0]]}
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-{"canvas_size":[491,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1240","image_path":"images/angle_estimation_1240.png","interior_angles_degrees":[90.039519,42.88805,47.07243],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1240_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1240_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1240_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1240_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1240_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1240,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.2441,431.4495],[436.0,431.4495],[55.0,77.5505]]}
-{"angle_degrees":81.926199,"arc_sweep_degrees":81.926199,"canvas_size":[488,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1241","image_path":"images/angle_estimation_1241.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1241_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1241_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1241_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"98","question_id":"angle_estimation_1241_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1241_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[106.5736,263.9181],[220.9886,141.5811]],"scene_type":"single","seed":1241,"vertex":[244.0,256.0]}
-{"angle_degrees":119.292465,"arc_sweep_degrees":119.292465,"canvas_size":[455,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1242","image_path":"images/angle_estimation_1242.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1242_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_1242_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1242_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"61","question_id":"angle_estimation_1242_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1242_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[78.693,328.836],[232.5745,142.007]],"scene_type":"single","seed":1242,"vertex":[227.5,254.0]}
-{"angle_degrees":134.652587,"arc_sweep_degrees":134.652587,"canvas_size":[496,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1243","image_path":"images/angle_estimation_1243.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1243_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1243_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1243_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"45","question_id":"angle_estimation_1243_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1243_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[89.3858,184.8784],[346.4508,213.8181]],"scene_type":"single","seed":1243,"vertex":[248.0,253.5]}
-{"angle_degrees":326.980041,"arc_sweep_degrees":326.980041,"canvas_size":[467,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1244","image_path":"images/angle_estimation_1244.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1244_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_1244_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1244_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"147","question_id":"angle_estimation_1244_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1244_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[129.6229,334.9252],[188.9531,381.4653]],"scene_type":"single","seed":1244,"vertex":[233.5,255.0]}
-{"angle_degrees":45.000022,"arc_sweep_degrees":45.000022,"canvas_size":[484,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1245","image_path":"images/angle_estimation_1245.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1245_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_1245_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1245_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"135","question_id":"angle_estimation_1245_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1245_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[330.3957,344.4991],[239.7203,410.5851]],"scene_type":"single","seed":1245,"vertex":[242.0,253.5]}
-{"angle_degrees":189.28553,"arc_sweep_degrees":189.28553,"canvas_size":[460,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1246","image_path":"images/angle_estimation_1246.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1246_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_1246_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1246_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"9","question_id":"angle_estimation_1246_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1246_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[326.0035,108.5472],[141.377,324.8601]],"scene_type":"single","seed":1246,"vertex":[230.0,238.5]}
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-{"angle_1_degrees":115.959499,"angle_2_degrees":37.981892,"angles":[{"angle_degrees":115.959499,"arc_sweep_degrees":115.959499,"ray_endpoints":[[220.1872,255.6651],[89.8587,372.9756]],"vertex":[130.14,264.48]},{"angle_degrees":37.981892,"arc_sweep_degrees":37.981892,"ray_endpoints":[[256.6463,205.0995],[315.7991,165.7691]],"vertex":[351.86,264.48]}],"canvas_size":[482,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1249","image_path":"images/angle_estimation_1249.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1249_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1249_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1249_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1249_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1249_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1249}
-{"angle_1_degrees":61.525348,"angle_2_degrees":25.443685,"angles":[{"angle_degrees":61.525348,"arc_sweep_degrees":61.525348,"ray_endpoints":[[150.1287,347.3623],[27.4262,375.5264]],"vertex":[123.93,270.75]},{"angle_degrees":25.443685,"arc_sweep_degrees":25.443685,"ray_endpoints":[[315.8851,184.8103],[366.4696,133.2054]],"vertex":[335.07,270.75]}],"canvas_size":[459,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1250","image_path":"images/angle_estimation_1250.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1250_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1250_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1250_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1250_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1250_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1250}
-{"angle_1_degrees":169.08235,"angle_2_degrees":11.322851,"angles":[{"angle_degrees":169.08235,"arc_sweep_degrees":169.08235,"ray_endpoints":[[170.7032,198.2915],[105.089,388.6839]],"vertex":[133.38,277.59]},{"angle_degrees":11.322851,"arc_sweep_degrees":11.322851,"ray_endpoints":[[352.8328,170.1717],[374.4101,168.0688]],"vertex":[360.62,277.59]}],"canvas_size":[494,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1251","image_path":"images/angle_estimation_1251.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1251_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1251_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"160","question_id":"angle_estimation_1251_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1251_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1251_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1251}
-{"angle_1_degrees":58.598236,"angle_2_degrees":85.134266,"angles":[{"angle_degrees":58.598236,"arc_sweep_degrees":58.598236,"ray_endpoints":[[227.9752,329.2371],[148.7365,422.7562]],"vertex":[135.0,284.43]},{"angle_degrees":85.134266,"arc_sweep_degrees":85.134266,"ray_endpoints":[[285.8394,332.2844],[296.4429,190.1373]],"vertex":[365.0,284.43]}],"canvas_size":[500,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1252","image_path":"images/angle_estimation_1252.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1252_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1252_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1252_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1252_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1252_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1252}
-{"angle_1_degrees":30.616521,"angle_2_degrees":63.440068,"angles":[{"angle_degrees":30.616521,"arc_sweep_degrees":30.616521,"ray_endpoints":[[136.1183,160.4956],[205.9231,147.9359]],"vertex":[133.92,263.91]},{"angle_degrees":63.440068,"arc_sweep_degrees":63.440068,"ray_endpoints":[[455.5724,229.0837],[442.7337,339.1458]],"vertex":[362.08,263.91]}],"canvas_size":[496,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1253","image_path":"images/angle_estimation_1253.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1253_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1253_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1253_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1253_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1253_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1253}
-{"angle_1_degrees":17.878492,"angle_2_degrees":158.559441,"angles":[{"angle_degrees":17.878492,"arc_sweep_degrees":17.878492,"ray_endpoints":[[60.6476,199.2426],[60.7761,137.7792]],"vertex":[128.79,265.05]},{"angle_degrees":158.559441,"arc_sweep_degrees":158.559441,"ray_endpoints":[[332.1195,361.1745],[325.4652,157.4699]],"vertex":[348.21,265.05]}],"canvas_size":[477,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1254","image_path":"images/angle_estimation_1254.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1254_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1254_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_1254_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1254_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1254_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1254}
-{"angle_1_degrees":134.173051,"angle_2_degrees":79.011883,"angles":[{"angle_degrees":134.173051,"arc_sweep_degrees":134.173051,"ray_endpoints":[[85.1617,373.1553],[84.4421,168.8105]],"vertex":[127.98,269.61]},{"angle_degrees":79.011883,"arc_sweep_degrees":79.011883,"ray_endpoints":[[404.393,205.6098],[449.1984,332.5386]],"vertex":[346.02,269.61]}],"canvas_size":[474,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1255","image_path":"images/angle_estimation_1255.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1255_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1255_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1255_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1255_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1255_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1255}
-{"canvas_size":[485,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1256","image_path":"images/angle_estimation_1256.png","interior_angles_degrees":[116.477805,37.510844,26.011351],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1256_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1256_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1256_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1256_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1256_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1256,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[198.3827,387.4302],[430.0,387.4302],[55.0,99.5698]]}
-{"canvas_size":[482,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1257","image_path":"images/angle_estimation_1257.png","interior_angles_degrees":[108.464596,40.62427,30.911134],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1257_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1257_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1257_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1257_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1257_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1257,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[161.5555,412.058],[427.0,412.058],[55.0,92.942]]}
-{"canvas_size":[458,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1258","image_path":"images/angle_estimation_1258.png","interior_angles_degrees":[132.096927,18.408302,29.49477],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1258_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1258_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1258_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1258_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1258_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1258,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[159.6403,309.4101],[403.0,309.4101],[55.0,193.5899]]}
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-{"angle_1_degrees":47.492803,"angle_2_degrees":33.393083,"angles":[{"angle_degrees":47.492803,"arc_sweep_degrees":47.492803,"ray_endpoints":[[106.5193,339.3723],[21.4641,312.5923]],"vertex":[134.19,269.61]},{"angle_degrees":33.393083,"arc_sweep_degrees":33.393083,"ray_endpoints":[[414.3729,350.2745],[361.23,382.0192]],"vertex":[362.81,269.61]}],"canvas_size":[497,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1269","image_path":"images/angle_estimation_1269.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1269_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1269_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1269_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1269_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1269_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1269}
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-{"angle_1_degrees":96.673724,"angle_2_degrees":151.651668,"angles":[{"angle_degrees":96.673724,"arc_sweep_degrees":96.673724,"ray_endpoints":[[60.2478,225.7783],[205.0956,143.0821]],"vertex":[127.44,259.92]},{"angle_degrees":151.651668,"arc_sweep_degrees":151.651668,"ray_endpoints":[[327.3789,359.8814],[309.7051,156.3255]],"vertex":[344.56,259.92]}],"canvas_size":[472,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1271","image_path":"images/angle_estimation_1271.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1271_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1271_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1271_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1271_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1271_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1271}
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-{"angle_1_degrees":133.749956,"angle_2_degrees":47.469686,"angles":[{"angle_degrees":133.749956,"arc_sweep_degrees":133.749956,"ray_endpoints":[[215.9812,268.0524],[64.3591,362.3697]],"vertex":[132.84,275.88]},{"angle_degrees":47.469686,"arc_sweep_degrees":47.469686,"ray_endpoints":[[273.5097,254.5593],[304.5606,175.5374]],"vertex":[359.16,275.88]}],"canvas_size":[492,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1273","image_path":"images/angle_estimation_1273.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1273_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1273_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1273_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1273_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1273_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1273}
-{"angle_1_degrees":102.730084,"angle_2_degrees":11.23922,"angles":[{"angle_degrees":102.730084,"arc_sweep_degrees":102.730084,"ray_endpoints":[[35.2195,232.753],[215.4087,181.4888]],"vertex":[123.39,282.72]},{"angle_degrees":11.23922,"arc_sweep_degrees":11.23922,"ray_endpoints":[[285.0948,379.1073],[247.4465,393.1751]],"vertex":[333.61,282.72]}],"canvas_size":[457,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1274","image_path":"images/angle_estimation_1274.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1274_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1274_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1274_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1274_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1274_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1274}
-{"angle_1_degrees":17.921017,"angle_2_degrees":59.289702,"angles":[{"angle_degrees":17.921017,"arc_sweep_degrees":17.921017,"ray_endpoints":[[90.3485,386.3442],[58.5144,370.9229]],"vertex":[132.57,283.29]},{"angle_degrees":59.289702,"arc_sweep_degrees":59.289702,"ray_endpoints":[[460.2591,310.2311],[390.686,396.5931]],"vertex":[358.43,283.29]}],"canvas_size":[491,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1275","image_path":"images/angle_estimation_1275.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1275_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1275_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1275_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1275_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1275_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1275}
-{"canvas_size":[465,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1276","image_path":"images/angle_estimation_1276.png","interior_angles_degrees":[46.532037,63.239364,70.228599],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1276_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1276_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1276_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1276_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1276_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1276,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,367.7303],[410.0,367.7303],[286.7248,123.2697]]}
-{"canvas_size":[464,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1277","image_path":"images/angle_estimation_1277.png","interior_angles_degrees":[67.569841,40.809905,71.620254],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1277_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1277_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1277_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1277_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1277_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1277,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,373.1748],[409.0,373.1748],[148.0212,147.8252]]}
-{"canvas_size":[453,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1278","image_path":"images/angle_estimation_1278.png","interior_angles_degrees":[68.763827,46.427491,64.808682],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1278_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1278_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1278_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1278_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1278_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1278,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,388.4876],[398.0,388.4876],[154.4722,132.5124]]}
-{"canvas_size":[496,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1279","image_path":"images/angle_estimation_1279.png","interior_angles_degrees":[74.339051,51.532333,54.128616],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1279_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1279_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1279_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1279_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1279_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1279,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,435.0571],[441.0,435.0571],[155.6784,75.9429]]}
-{"canvas_size":[497,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1280","image_path":"images/angle_estimation_1280.png","interior_angles_degrees":[56.932163,42.938835,80.129001],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1280_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1280_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1280_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1280_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1280_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1280,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,363.6246],[442.0,363.6246],[201.0069,139.3754]]}
-{"angle_degrees":336.710723,"arc_sweep_degrees":336.710723,"canvas_size":[464,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1281","image_path":"images/angle_estimation_1281.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1281_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_1281_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1281_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"157","question_id":"angle_estimation_1281_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1281_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[188.1899,385.4066],[245.0509,360.1835]],"scene_type":"single","seed":1281,"vertex":[232.0,242.0]}
-{"angle_degrees":77.109938,"arc_sweep_degrees":77.109938,"canvas_size":[453,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1282","image_path":"images/angle_estimation_1282.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1282_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1282_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1282_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"103","question_id":"angle_estimation_1282_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1282_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[198.4321,73.5574],[349.0887,191.0274]],"scene_type":"single","seed":1282,"vertex":[226.5,241.5]}
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-{"angle_degrees":10.421415,"arc_sweep_degrees":10.421415,"canvas_size":[471,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1286","image_path":"images/angle_estimation_1286.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1286_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_1286_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1286_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"170","question_id":"angle_estimation_1286_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1286_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[211.3928,406.2077],[189.4846,374.2879]],"scene_type":"single","seed":1286,"vertex":[235.5,237.0]}
-{"angle_degrees":313.179699,"arc_sweep_degrees":313.179699,"canvas_size":[478,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1287","image_path":"images/angle_estimation_1287.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1287_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_1287_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1287_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"133","question_id":"angle_estimation_1287_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1287_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[295.5645,363.6791],[347.2884,275.8155]],"scene_type":"single","seed":1287,"vertex":[239.0,239.0]}
-{"angle_degrees":343.911482,"arc_sweep_degrees":343.911482,"canvas_size":[493,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1288","image_path":"images/angle_estimation_1288.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1288_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_1288_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1288_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"164","question_id":"angle_estimation_1288_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1288_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[150.5353,388.8179],[191.4199,408.6074]],"scene_type":"single","seed":1288,"vertex":[246.5,257.0]}
-{"angle_1_degrees":115.520043,"angle_2_degrees":73.315173,"angles":[{"angle_degrees":115.520043,"arc_sweep_degrees":115.520043,"ray_endpoints":[[73.1454,322.5867],[103.0383,165.6254]],"vertex":[131.22,273.6]},{"angle_degrees":73.315173,"arc_sweep_degrees":73.315173,"ray_endpoints":[[421.1893,195.5642],[468.3857,323.5009]],"vertex":[354.78,273.6]}],"canvas_size":[486,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1289","image_path":"images/angle_estimation_1289.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1289_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1289_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1289_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1289_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1289_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1289}
-{"angle_1_degrees":133.874769,"angle_2_degrees":116.197054,"angles":[{"angle_degrees":133.874769,"arc_sweep_degrees":133.874769,"ray_endpoints":[[26.0154,292.2461],[196.2496,146.463]],"vertex":[127.44,266.76]},{"angle_degrees":116.197054,"arc_sweep_degrees":116.197054,"ray_endpoints":[[399.2798,171.056],[424.5423,385.1437]],"vertex":[344.56,266.76]}],"canvas_size":[472,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1290","image_path":"images/angle_estimation_1290.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1290_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1290_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1290_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1290_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1290_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1290}
-{"angle_1_degrees":57.932934,"angle_2_degrees":30.445846,"angles":[{"angle_degrees":57.932934,"arc_sweep_degrees":57.932934,"ray_endpoints":[[140.0868,384.4316],[23.564,349.8551]],"vertex":[131.22,270.18]},{"angle_degrees":30.445846,"arc_sweep_degrees":30.445846,"ray_endpoints":[[322.5712,183.7016],[376.7202,145.9797]],"vertex":[354.78,270.18]}],"canvas_size":[486,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1291","image_path":"images/angle_estimation_1291.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1291_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1291_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1291_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1291_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1291_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1291}
-{"angle_1_degrees":100.808111,"angle_2_degrees":76.465088,"angles":[{"angle_degrees":100.808111,"arc_sweep_degrees":100.808111,"ray_endpoints":[[207.2451,232.7263],[174.533,398.8815]],"vertex":[128.52,282.72]},{"angle_degrees":76.465088,"arc_sweep_degrees":76.465088,"ray_endpoints":[[447.4652,293.466],[365.9519,424.9352]],"vertex":[347.48,282.72]}],"canvas_size":[476,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1292","image_path":"images/angle_estimation_1292.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1292_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1292_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1292_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1292_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1292_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1292}
-{"angle_1_degrees":18.443055,"angle_2_degrees":99.765613,"angles":[{"angle_degrees":18.443055,"arc_sweep_degrees":18.443055,"ray_endpoints":[[73.2506,182.7401],[106.1425,161.1189]],"vertex":[126.63,283.29]},{"angle_degrees":99.765613,"arc_sweep_degrees":99.765613,"ray_endpoints":[[402.5389,339.3728],[250.2076,353.3654]],"vertex":[342.37,283.29]}],"canvas_size":[469,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1293","image_path":"images/angle_estimation_1293.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1293_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1293_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1293_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1293_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1293_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1293}
-{"angle_1_degrees":62.049322,"angle_2_degrees":21.98416,"angles":[{"angle_degrees":62.049322,"arc_sweep_degrees":62.049322,"ray_endpoints":[[200.6758,316.3739],[127.6067,420.0559]],"vertex":[127.71,277.59]},{"angle_degrees":21.98416,"arc_sweep_degrees":21.98416,"ray_endpoints":[[363.6717,204.6033],[429.5346,162.147]],"vertex":[345.29,277.59]}],"canvas_size":[473,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1294","image_path":"images/angle_estimation_1294.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1294_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1294_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1294_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1294_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1294_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1294}
-{"angle_1_degrees":71.982942,"angle_2_degrees":108.790089,"angles":[{"angle_degrees":71.982942,"arc_sweep_degrees":71.982942,"ray_endpoints":[[66.7924,184.1411],[194.6046,188.8278]],"vertex":[123.12,274.17]},{"angle_degrees":108.790089,"arc_sweep_degrees":108.790089,"ray_endpoints":[[254.6215,319.4877],[312.087,169.9603]],"vertex":[332.88,274.17]}],"canvas_size":[456,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1295","image_path":"images/angle_estimation_1295.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1295_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1295_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1295_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1295_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1295_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1295}
-{"canvas_size":[480,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1296","image_path":"images/angle_estimation_1296.png","interior_angles_degrees":[88.992231,37.382121,53.625648],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1296_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1296_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1296_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1296_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1296_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1296,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,390.9771],[425.0,390.9771],[59.907,112.0229]]}
-{"canvas_size":[478,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1297","image_path":"images/angle_estimation_1297.png","interior_angles_degrees":[89.827509,43.132582,47.039909],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1297_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1297_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1297_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1297_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1297_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1297,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,421.3957],[423.0,421.3957],[56.035,77.6043]]}
-{"canvas_size":[462,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1298","image_path":"images/angle_estimation_1298.png","interior_angles_degrees":[89.725129,46.262446,44.012424],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1298_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1298_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1298_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1298_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1298_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1298,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[55.0,431.5144],[407.0,431.5144],[56.756,65.4856]]}
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-{"canvas_size":[473,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1300","image_path":"images/angle_estimation_1300.png","interior_angles_degrees":[90.370214,29.204132,60.425654],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1300_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1300_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1300_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1300_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1300_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1300,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.3111,350.4541],[418.0,350.4541],[55.0,147.5459]]}
-{"angle_degrees":290.225664,"arc_sweep_degrees":290.225664,"canvas_size":[477,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1301","image_path":"images/angle_estimation_1301.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1301_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_1301_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1301_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"110","question_id":"angle_estimation_1301_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1301_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[399.5952,270.2914],[308.7402,111.7915]],"scene_type":"single","seed":1301,"vertex":[238.5,252.5]}
-{"angle_degrees":205.691354,"arc_sweep_degrees":205.691354,"canvas_size":[480,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1302","image_path":"images/angle_estimation_1302.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1302_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_1302_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1302_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"26","question_id":"angle_estimation_1302_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1302_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[96.6997,205.7011],[345.401,326.8951]],"scene_type":"single","seed":1302,"vertex":[240.0,240.5]}
-{"angle_degrees":307.292947,"arc_sweep_degrees":307.292947,"canvas_size":[473,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1303","image_path":"images/angle_estimation_1303.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1303_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_1303_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1303_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"127","question_id":"angle_estimation_1303_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1303_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[366.8614,162.3439],[248.5811,95.9661]],"scene_type":"single","seed":1303,"vertex":[236.5,246.0]}
-{"angle_degrees":298.730546,"arc_sweep_degrees":298.730546,"canvas_size":[475,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1304","image_path":"images/angle_estimation_1304.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1304_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_1304_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1304_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"119","question_id":"angle_estimation_1304_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1304_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[85.3961,279.8925],[192.6528,402.0086]],"scene_type":"single","seed":1304,"vertex":[237.5,245.5]}
-{"angle_degrees":90.00003,"arc_sweep_degrees":90.00003,"canvas_size":[460,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1305","image_path":"images/angle_estimation_1305.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"right","question_id":"angle_estimation_1305_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_1305_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"approximately equal to","question_id":"angle_estimation_1305_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"90","question_id":"angle_estimation_1305_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1305_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[60.5368,277.3346],[207.2518,99.8367]],"scene_type":"single","seed":1305,"vertex":[230.0,252.0]}
-{"angle_degrees":173.26517,"arc_sweep_degrees":173.26517,"canvas_size":[500,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1306","image_path":"images/angle_estimation_1306.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1306_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_1306_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1306_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"7","question_id":"angle_estimation_1306_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1306_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[209.2739,385.3403],[273.0205,149.2338]],"scene_type":"single","seed":1306,"vertex":[250.0,262.0]}
-{"angle_degrees":246.463443,"arc_sweep_degrees":246.463443,"canvas_size":[486,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1307","image_path":"images/angle_estimation_1307.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1307_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_1307_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1307_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"66","question_id":"angle_estimation_1307_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1307_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[95.0272,314.1703],[340.0168,322.8456]],"scene_type":"single","seed":1307,"vertex":[243.0,241.0]}
-{"angle_degrees":71.172927,"arc_sweep_degrees":71.172927,"canvas_size":[481,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1308","image_path":"images/angle_estimation_1308.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1308_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1308_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1308_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"109","question_id":"angle_estimation_1308_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1308_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[184.1534,136.4218],[350.1624,149.0436]],"scene_type":"single","seed":1308,"vertex":[240.5,255.5]}
-{"angle_1_degrees":46.614692,"angle_2_degrees":93.31227,"angles":[{"angle_degrees":46.614692,"arc_sweep_degrees":46.614692,"ray_endpoints":[[33.6346,276.0481],[40.7512,183.4926]],"vertex":[129.87,274.17]},{"angle_degrees":93.31227,"arc_sweep_degrees":93.31227,"ray_endpoints":[[273.4629,246.5316],[397.5558,164.2687]],"vertex":[351.13,274.17]}],"canvas_size":[481,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1309","image_path":"images/angle_estimation_1309.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1309_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1309_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1309_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1309_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1309_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1309}
-{"angle_1_degrees":54.957887,"angle_2_degrees":32.296272,"angles":[{"angle_degrees":54.957887,"arc_sweep_degrees":54.957887,"ray_endpoints":[[133.4541,378.4765],[44.4357,343.8779]],"vertex":[125.55,277.02]},{"angle_degrees":32.296272,"arc_sweep_degrees":32.296272,"ray_endpoints":[[409.6063,309.7276],[402.0912,374.5626]],"vertex":[339.45,277.02]}],"canvas_size":[465,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1310","image_path":"images/angle_estimation_1310.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1310_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1310_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1310_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1310_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1310_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1310}
-{"angle_1_degrees":162.582612,"angle_2_degrees":22.823423,"angles":[{"angle_degrees":162.582612,"arc_sweep_degrees":162.582612,"ray_endpoints":[[115.3285,192.2299],[179.9532,394.3091]],"vertex":[123.93,267.9]},{"angle_degrees":22.823423,"arc_sweep_degrees":22.823423,"ray_endpoints":[[433.7412,294.5239],[431.5918,343.1041]],"vertex":[335.07,267.9]}],"canvas_size":[459,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1311","image_path":"images/angle_estimation_1311.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1311_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1311_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_1311_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1311_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1311_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1311}
-{"angle_1_degrees":91.499095,"angle_2_degrees":136.634628,"angles":[{"angle_degrees":91.499095,"arc_sweep_degrees":91.499095,"ray_endpoints":[[221.3663,208.1358],[205.8467,382.1909]],"vertex":[130.95,274.74]},{"angle_degrees":136.634628,"arc_sweep_degrees":136.634628,"ray_endpoints":[[261.9413,327.4419],[395.4164,138.2249]],"vertex":[354.05,274.74]}],"canvas_size":[485,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1312","image_path":"images/angle_estimation_1312.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1312_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1312_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1312_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1312_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1312_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1312}
-{"angle_1_degrees":28.094314,"angle_2_degrees":56.367298,"angles":[{"angle_degrees":28.094314,"arc_sweep_degrees":28.094314,"ray_endpoints":[[80.8994,180.3466],[129.9888,164.6829]],"vertex":[132.03,271.89]},{"angle_degrees":56.367298,"arc_sweep_degrees":56.367298,"ray_endpoints":[[465.0857,255.1102],[442.304,365.1635]],"vertex":[356.97,271.89]}],"canvas_size":[489,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1313","image_path":"images/angle_estimation_1313.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1313_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1313_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1313_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1313_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1313_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1313}
-{"angle_1_degrees":126.968381,"angle_2_degrees":46.597251,"angles":[{"angle_degrees":126.968381,"arc_sweep_degrees":126.968381,"ray_endpoints":[[21.8682,285.615],[178.9638,135.912]],"vertex":[128.25,258.21]},{"angle_degrees":46.597251,"arc_sweep_degrees":46.597251,"ray_endpoints":[[351.6054,157.3093],[427.3302,189.0278]],"vertex":[346.75,258.21]}],"canvas_size":[475,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1314","image_path":"images/angle_estimation_1314.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1314_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1314_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1314_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1314_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1314_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1314}
-{"angle_1_degrees":52.675504,"angle_2_degrees":79.273274,"angles":[{"angle_degrees":52.675504,"arc_sweep_degrees":52.675504,"ray_endpoints":[[18.3109,239.6744],[71.4543,138.7455]],"vertex":[127.98,265.62]},{"angle_degrees":79.273274,"arc_sweep_degrees":79.273274,"ray_endpoints":[[453.4975,225.7326],[402.1609,358.7307]],"vertex":[346.02,265.62]}],"canvas_size":[474,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1315","image_path":"images/angle_estimation_1315.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1315_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1315_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1315_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1315_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1315_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1315}
-{"canvas_size":[463,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1316","image_path":"images/angle_estimation_1316.png","interior_angles_degrees":[103.084225,23.00924,53.906535],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1316_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1316_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1316_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1316_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1316_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1316,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[89.8409,322.4534],[408.0,322.4534],[55.0,172.5466]]}
-{"canvas_size":[489,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1317","image_path":"images/angle_estimation_1317.png","interior_angles_degrees":[105.551005,41.432626,33.016369],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1317_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1317_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1317_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1317_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1317_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1317,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[148.0906,417.2586],[434.0,417.2586],[55.0,82.7414]]}
-{"canvas_size":[496,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1318","image_path":"images/angle_estimation_1318.png","interior_angles_degrees":[120.783849,21.299264,37.916887],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1318_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1318_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1318_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1318_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1318_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1318,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[144.6522,323.7447],[441.0,323.7447],[55.0,173.2553]]}
-{"canvas_size":[475,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1319","image_path":"images/angle_estimation_1319.png","interior_angles_degrees":[101.053332,30.464509,48.482159],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1319_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1319_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1319_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1319_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1319_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1319,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[96.9403,356.3485],[420.0,356.3485],[55.0,141.6515]]}
-{"canvas_size":[459,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1320","image_path":"images/angle_estimation_1320.png","interior_angles_degrees":[131.002794,23.763412,25.233794],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1320_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1320_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1320_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1320_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1320_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1320,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[188.5888,321.3306],[404.0,321.3306],[55.0,167.6694]]}
-{"angle_degrees":225.89858,"arc_sweep_degrees":225.89858,"canvas_size":[484,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1321","image_path":"images/angle_estimation_1321.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1321_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_1321_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1321_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"46","question_id":"angle_estimation_1321_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1321_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[112.7488,278.1491],[350.5043,324.2866]],"scene_type":"single","seed":1321,"vertex":[242.0,251.0]}
-{"angle_degrees":304.867018,"arc_sweep_degrees":304.867018,"canvas_size":[476,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1322","image_path":"images/angle_estimation_1322.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1322_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_1322_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1322_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"125","question_id":"angle_estimation_1322_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1322_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[313.6229,137.6247],[181.9614,93.9057]],"scene_type":"single","seed":1322,"vertex":[238.0,246.0]}
-{"angle_degrees":131.12912,"arc_sweep_degrees":131.12912,"canvas_size":[480,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1323","image_path":"images/angle_estimation_1323.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1323_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1323_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1323_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"49","question_id":"angle_estimation_1323_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1323_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[240.5819,397.666],[116.8175,144.2892]],"scene_type":"single","seed":1323,"vertex":[240.0,251.0]}
-{"angle_degrees":142.549027,"arc_sweep_degrees":142.549027,"canvas_size":[480,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1324","image_path":"images/angle_estimation_1324.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1324_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1324_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1324_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"37","question_id":"angle_estimation_1324_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1324_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[139.3791,115.6955],[359.0565,284.9416]],"scene_type":"single","seed":1324,"vertex":[240.0,251.0]}
-{"angle_degrees":45.000008,"arc_sweep_degrees":45.000008,"canvas_size":[498,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1325","image_path":"images/angle_estimation_1325.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1325_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_1325_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1325_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"135","question_id":"angle_estimation_1325_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1325_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[119.7229,304.0906],[106.0142,190.5511]],"scene_type":"single","seed":1325,"vertex":[249.0,256.0]}
-{"angle_degrees":340.884758,"arc_sweep_degrees":340.884758,"canvas_size":[481,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1326","image_path":"images/angle_estimation_1326.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1326_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_1326_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1326_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"161","question_id":"angle_estimation_1326_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1326_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[172.4142,98.8039],[156.3181,155.4026]],"scene_type":"single","seed":1326,"vertex":[240.5,240.0]}
-{"angle_degrees":188.589402,"arc_sweep_degrees":188.589402,"canvas_size":[464,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1327","image_path":"images/angle_estimation_1327.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1327_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_1327_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1327_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"9","question_id":"angle_estimation_1327_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1327_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[236.9104,112.8401],[206.0892,392.6982]],"scene_type":"single","seed":1327,"vertex":[232.0,254.0]}
-{"angle_degrees":124.0334,"arc_sweep_degrees":124.0334,"canvas_size":[459,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1328","image_path":"images/angle_estimation_1328.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1328_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_1328_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1328_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"56","question_id":"angle_estimation_1328_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1328_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[331.8642,139.0459],[268.1913,401.2554]],"scene_type":"single","seed":1328,"vertex":[229.5,257.0]}
-{"angle_1_degrees":17.725195,"angle_2_degrees":84.34731,"angles":[{"angle_degrees":17.725195,"arc_sweep_degrees":17.725195,"ray_endpoints":[[154.4023,164.9111],[201.8459,152.5831]],"vertex":[128.25,274.17]},{"angle_degrees":84.34731,"arc_sweep_degrees":84.34731,"ray_endpoints":[[414.6464,220.1171],[427.8721,357.6588]],"vertex":[346.75,274.17]}],"canvas_size":[475,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1329","image_path":"images/angle_estimation_1329.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1329_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1329_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1329_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1329_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1329_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1329}
-{"angle_1_degrees":137.79037,"angle_2_degrees":45.364704,"angles":[{"angle_degrees":137.79037,"arc_sweep_degrees":137.79037,"ray_endpoints":[[138.5417,167.5659],[210.1057,380.0379]],"vertex":[127.44,265.05]},{"angle_degrees":45.364704,"arc_sweep_degrees":45.364704,"ray_endpoints":[[399.4956,177.4906],[459.7668,239.4444]],"vertex":[344.56,265.05]}],"canvas_size":[472,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1330","image_path":"images/angle_estimation_1330.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1330_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1330_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1330_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1330_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1330_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1330}
-{"angle_1_degrees":87.623071,"angle_2_degrees":70.659526,"angles":[{"angle_degrees":87.623071,"arc_sweep_degrees":87.623071,"ray_endpoints":[[70.2259,353.2578],[30.1388,202.7661]],"vertex":[131.22,275.31]},{"angle_degrees":70.659526,"arc_sweep_degrees":70.659526,"ray_endpoints":[[414.214,184.1176],[473.1651,304.2864]],"vertex":[354.78,275.31]}],"canvas_size":[486,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1331","image_path":"images/angle_estimation_1331.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1331_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1331_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1331_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1331_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1331_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1331}
-{"angle_1_degrees":35.846655,"angle_2_degrees":63.060546,"angles":[{"angle_degrees":35.846655,"arc_sweep_degrees":35.846655,"ray_endpoints":[[99.0529,363.9668],[30.0649,348.2054]],"vertex":[122.31,270.18]},{"angle_degrees":63.060546,"arc_sweep_degrees":63.060546,"ray_endpoints":[[413.6505,341.741],[300.4607,392.8697]],"vertex":[330.69,270.18]}],"canvas_size":[453,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1332","image_path":"images/angle_estimation_1332.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1332_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1332_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1332_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1332_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1332_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1332}
-{"angle_1_degrees":158.74604,"angle_2_degrees":23.726258,"angles":[{"angle_degrees":158.74604,"arc_sweep_degrees":158.74604,"ray_endpoints":[[121.4157,373.2372],[89.2367,132.871]],"vertex":[129.87,269.04]},{"angle_degrees":23.726258,"arc_sweep_degrees":23.726258,"ray_endpoints":[[400.8815,166.3201],[447.6189,186.8317]],"vertex":[351.13,269.04]}],"canvas_size":[481,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1333","image_path":"images/angle_estimation_1333.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1333_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1333_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_1333_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1333_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1333_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1333}
-{"angle_1_degrees":130.36565,"angle_2_degrees":14.902714,"angles":[{"angle_degrees":130.36565,"arc_sweep_degrees":130.36565,"ray_endpoints":[[161.6197,184.4804],[208.4754,395.8316]],"vertex":[132.84,273.03]},{"angle_degrees":14.902714,"arc_sweep_degrees":14.902714,"ray_endpoints":[[315.8336,350.4709],[267.437,367.5859]],"vertex":[359.16,273.03]}],"canvas_size":[492,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1334","image_path":"images/angle_estimation_1334.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1334_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1334_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_1334_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1334_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1334_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1334}
-{"angle_1_degrees":66.101302,"angle_2_degrees":29.071421,"angles":[{"angle_degrees":66.101302,"arc_sweep_degrees":66.101302,"ray_endpoints":[[198.6776,346.3434],[82.5517,392.0221]],"vertex":[134.19,275.31]},{"angle_degrees":29.071421,"arc_sweep_degrees":29.071421,"ray_endpoints":[[428.6134,368.4601],[377.0484,407.0867]],"vertex":[362.81,275.31]}],"canvas_size":[497,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1335","image_path":"images/angle_estimation_1335.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1335_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1335_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1335_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1335_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1335_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1335}
-{"canvas_size":[482,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1336","image_path":"images/angle_estimation_1336.png","interior_angles_degrees":[68.160602,42.087287,69.752111],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1336_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1336_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1336_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1336_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1336_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1336,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,366.3434],[427.0,366.3434],[153.8645,119.6566]]}
-{"canvas_size":[489,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1337","image_path":"images/angle_estimation_1337.png","interior_angles_degrees":[60.842316,53.930644,65.22704],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1337_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1337_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1337_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1337_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1337_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1337,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,404.3211],[434.0,404.3211],[219.3845,109.6789]]}
-{"canvas_size":[499,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1338","image_path":"images/angle_estimation_1338.png","interior_angles_degrees":[70.386113,62.82704,46.786847],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1338_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1338_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1338_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1338_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1338_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1338,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[78.1709,459.0],[420.8291,459.0],[218.5756,65.0]]}
-{"canvas_size":[490,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1339","image_path":"images/angle_estimation_1339.png","interior_angles_degrees":[43.299119,79.680759,57.020121],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1339_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1339_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_1339_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1339_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1339_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1339,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,399.321],[435.0,399.321],[379.3494,93.679]]}
-{"canvas_size":[472,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1340","image_path":"images/angle_estimation_1340.png","interior_angles_degrees":[69.710892,54.481253,55.807855],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1340_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1340_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1340_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1340_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1340_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1340,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,424.054],[417.0,424.054],[178.5181,89.946]]}
-{"angle_degrees":203.943261,"arc_sweep_degrees":203.943261,"canvas_size":[478,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1341","image_path":"images/angle_estimation_1341.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1341_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_1341_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1341_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"24","question_id":"angle_estimation_1341_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1341_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[141.5635,350.0581],[383.5862,189.368]],"scene_type":"single","seed":1341,"vertex":[239.0,248.5]}
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-{"angle_degrees":81.464943,"arc_sweep_degrees":81.464943,"canvas_size":[471,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1343","image_path":"images/angle_estimation_1343.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1343_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1343_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1343_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"99","question_id":"angle_estimation_1343_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1343_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[103.316,225.2321],[238.7471,97.7327]],"scene_type":"single","seed":1343,"vertex":[235.5,248.0]}
-{"angle_degrees":140.643985,"arc_sweep_degrees":140.643985,"canvas_size":[476,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1344","image_path":"images/angle_estimation_1344.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1344_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1344_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1344_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"39","question_id":"angle_estimation_1344_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1344_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[277.4972,382.5829],[121.4259,174.5957]],"scene_type":"single","seed":1344,"vertex":[238.0,252.5]}
-{"angle_degrees":90.000025,"arc_sweep_degrees":90.000025,"canvas_size":[456,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1345","image_path":"images/angle_estimation_1345.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"right","question_id":"angle_estimation_1345_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_1345_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"approximately equal to","question_id":"angle_estimation_1345_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"90","question_id":"angle_estimation_1345_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1345_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[193.922,109.78],[362.5745,225.8492]],"scene_type":"single","seed":1345,"vertex":[228.0,257.0]}
-{"angle_degrees":239.056889,"arc_sweep_degrees":239.056889,"canvas_size":[469,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1346","image_path":"images/angle_estimation_1346.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1346_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_1346_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1346_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"59","question_id":"angle_estimation_1346_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1346_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[223.1139,418.112],[331.9348,209.6754]],"scene_type":"single","seed":1346,"vertex":[234.5,259.0]}
-{"angle_degrees":198.318837,"arc_sweep_degrees":198.318837,"canvas_size":[481,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1347","image_path":"images/angle_estimation_1347.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1347_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_1347_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1347_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"18","question_id":"angle_estimation_1347_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1347_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[257.352,426.5982],[268.8526,132.5604]],"scene_type":"single","seed":1347,"vertex":[240.5,260.0]}
-{"angle_degrees":82.454823,"arc_sweep_degrees":82.454823,"canvas_size":[474,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1348","image_path":"images/angle_estimation_1348.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1348_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1348_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1348_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"98","question_id":"angle_estimation_1348_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1348_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[337.021,334.3127],[144.9857,371.3889]],"scene_type":"single","seed":1348,"vertex":[237.0,241.5]}
-{"angle_1_degrees":107.585879,"angle_2_degrees":64.591183,"angles":[{"angle_degrees":107.585879,"arc_sweep_degrees":107.585879,"ray_endpoints":[[57.0007,325.6268],[61.7389,137.4251]],"vertex":[121.5,266.76]},{"angle_degrees":64.591183,"arc_sweep_degrees":64.591183,"ray_endpoints":[[407.3451,339.3305],[291.1245,387.3649]],"vertex":[328.5,266.76]}],"canvas_size":[450,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1349","image_path":"images/angle_estimation_1349.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1349_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1349_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1349_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1349_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1349_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1349}
-{"angle_1_degrees":46.6076,"angle_2_degrees":102.988499,"angles":[{"angle_degrees":46.6076,"arc_sweep_degrees":46.6076,"ray_endpoints":[[115.3067,184.0354],[206.6768,185.8972]],"vertex":[129.87,283.29]},{"angle_degrees":102.988499,"arc_sweep_degrees":102.988499,"ray_endpoints":[[434.9457,283.9757],[319.5696,415.1822]],"vertex":[351.13,283.29]}],"canvas_size":[481,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1350","image_path":"images/angle_estimation_1350.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1350_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1350_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1350_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1350_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1350_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1350}
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-{"angle_1_degrees":126.517996,"angle_2_degrees":43.494526,"angles":[{"angle_degrees":126.517996,"arc_sweep_degrees":126.517996,"ray_endpoints":[[144.0296,371.1526],[23.0744,220.7852]],"vertex":[126.63,272.46]},{"angle_degrees":43.494526,"arc_sweep_degrees":43.494526,"ray_endpoints":[[250.8942,263.6687],[250.7504,167.1228]],"vertex":[342.37,272.46]}],"canvas_size":[469,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1352","image_path":"images/angle_estimation_1352.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1352_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1352_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1352_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1352_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1352_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1352}
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-{"angle_1_degrees":35.082829,"angle_2_degrees":65.157354,"angles":[{"angle_degrees":35.082829,"arc_sweep_degrees":35.082829,"ray_endpoints":[[139.0869,171.921],[204.2833,174.327]],"vertex":[130.68,260.49]},{"angle_degrees":65.157354,"arc_sweep_degrees":65.157354,"ray_endpoints":[[401.7815,320.4908],[300.6628,367.3613]],"vertex":[353.32,260.49]}],"canvas_size":[484,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1354","image_path":"images/angle_estimation_1354.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1354_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1354_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1354_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1354_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1354_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1354}
-{"angle_1_degrees":41.722787,"angle_2_degrees":145.310817,"angles":[{"angle_degrees":41.722787,"arc_sweep_degrees":41.722787,"ray_endpoints":[[201.9588,339.0846],[140.595,411.579]],"vertex":[133.11,269.61]},{"angle_degrees":145.310817,"arc_sweep_degrees":145.310817,"ray_endpoints":[[332.4658,177.7364],[446.2032,338.7364]],"vertex":[359.89,269.61]}],"canvas_size":[493,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1355","image_path":"images/angle_estimation_1355.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1355_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1355_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1355_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1355_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1355_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1355}
-{"canvas_size":[465,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1356","image_path":"images/angle_estimation_1356.png","interior_angles_degrees":[91.012163,42.233857,46.753979],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1356_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1356_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1356_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1356_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1356_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1356,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[60.6938,425.1384],[410.0,425.1384],[55.0,102.8616]]}
-{"canvas_size":[486,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1357","image_path":"images/angle_estimation_1357.png","interior_angles_degrees":[90.632973,34.420539,54.946488],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1357_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1357_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1357_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1357_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1357_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1357,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[57.8465,382.3253],[431.0,382.3253],[55.0,124.6747]]}
-{"canvas_size":[450,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1358","image_path":"images/angle_estimation_1358.png","interior_angles_degrees":[90.691303,47.832147,41.476551],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1358_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1358_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1358_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1358_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1358_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1358,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[59.5295,449.1954],[395.0,449.1954],[55.0,73.8046]]}
-{"canvas_size":[480,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1359","image_path":"images/angle_estimation_1359.png","interior_angles_degrees":[89.146966,37.524087,53.328947],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1359_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1359_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1359_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1359_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1359_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1359,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,387.9728],[425.0,387.9728],[59.1831,107.0272]]}
-{"canvas_size":[490,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1360","image_path":"images/angle_estimation_1360.png","interior_angles_degrees":[89.413391,30.33104,60.255569],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1360_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1360_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1360_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1360_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1360_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1360,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,357.0032],[435.0,357.0032],[57.2628,135.9968]]}
-{"angle_degrees":126.829687,"arc_sweep_degrees":126.829687,"canvas_size":[457,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1361","image_path":"images/angle_estimation_1361.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1361_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_1361_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1361_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"53","question_id":"angle_estimation_1361_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1361_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[344.9364,171.0395],[216.7267,397.8006]],"scene_type":"single","seed":1361,"vertex":[228.5,245.0]}
-{"angle_degrees":220.483888,"arc_sweep_degrees":220.483888,"canvas_size":[453,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1362","image_path":"images/angle_estimation_1362.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1362_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_1362_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1362_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"40","question_id":"angle_estimation_1362_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1362_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[93.5949,240.8982],[316.4255,360.9688]],"scene_type":"single","seed":1362,"vertex":[226.5,259.5]}
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-{"angle_degrees":210.752024,"arc_sweep_degrees":210.752024,"canvas_size":[463,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1368","image_path":"images/angle_estimation_1368.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1368_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_1368_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1368_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"31","question_id":"angle_estimation_1368_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1368_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[66.5019,195.5132],[332.9771,351.0922]],"scene_type":"single","seed":1368,"vertex":[231.5,243.0]}
-{"angle_1_degrees":26.086105,"angle_2_degrees":130.429144,"angles":[{"angle_degrees":26.086105,"arc_sweep_degrees":26.086105,"ray_endpoints":[[130.7944,206.1739],[190.2616,158.6808]],"vertex":[131.49,281.58]},{"angle_degrees":130.429144,"arc_sweep_degrees":130.429144,"ray_endpoints":[[280.2526,275.8916],[454.1105,182.1211]],"vertex":[355.51,281.58]}],"canvas_size":[487,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1369","image_path":"images/angle_estimation_1369.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1369_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1369_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1369_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1369_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1369_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1369}
-{"angle_1_degrees":51.487454,"angle_2_degrees":25.801183,"angles":[{"angle_degrees":51.487454,"arc_sweep_degrees":51.487454,"ray_endpoints":[[204.7764,352.8007],[116.0026,409.5504]],"vertex":[132.57,278.73]},{"angle_degrees":25.801183,"arc_sweep_degrees":25.801183,"ray_endpoints":[[290.3098,241.8503],[278.5771,167.8811]],"vertex":[358.43,278.73]}],"canvas_size":[491,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1370","image_path":"images/angle_estimation_1370.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1370_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1370_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1370_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1370_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1370_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1370}
-{"angle_1_degrees":63.149589,"angle_2_degrees":118.229108,"angles":[{"angle_degrees":63.149589,"arc_sweep_degrees":63.149589,"ray_endpoints":[[212.3061,264.9139],[196.4724,375.3244]],"vertex":[132.84,271.32]},{"angle_degrees":118.229108,"arc_sweep_degrees":118.229108,"ray_endpoints":[[452.3586,229.1819],[351.3261,386.2364]],"vertex":[359.16,271.32]}],"canvas_size":[492,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1371","image_path":"images/angle_estimation_1371.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1371_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1371_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1371_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1371_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1371_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1371}
-{"angle_1_degrees":96.766662,"angle_2_degrees":167.910103,"angles":[{"angle_degrees":96.766662,"arc_sweep_degrees":96.766662,"ray_endpoints":[[61.4545,306.8436],[77.8424,146.7796]],"vertex":[133.65,259.92]},{"angle_degrees":167.910103,"arc_sweep_degrees":167.910103,"ray_endpoints":[[297.1483,203.9732],[465.6881,317.7073]],"vertex":[361.35,259.92]}],"canvas_size":[495,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1372","image_path":"images/angle_estimation_1372.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1372_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1372_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1372_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1372_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1372_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1372}
-{"angle_1_degrees":50.092861,"angle_2_degrees":29.417719,"angles":[{"angle_degrees":50.092861,"arc_sweep_degrees":50.092861,"ray_endpoints":[[115.3485,360.4874],[29.582,329.9194]],"vertex":[122.04,262.77]},{"angle_degrees":29.417719,"arc_sweep_degrees":29.417719,"ray_endpoints":[[256.2514,210.2166],[271.2789,137.4642]],"vertex":[329.96,262.77]}],"canvas_size":[452,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1373","image_path":"images/angle_estimation_1373.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1373_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1373_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1373_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1373_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1373_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1373}
-{"angle_1_degrees":61.809148,"angle_2_degrees":118.179752,"angles":[{"angle_degrees":61.809148,"arc_sweep_degrees":61.809148,"ray_endpoints":[[122.9935,372.7092],[19.2018,336.2545]],"vertex":[121.5,279.3]},{"angle_degrees":118.179752,"arc_sweep_degrees":118.179752,"ray_endpoints":[[368.9998,183.4261],[400.0889,367.9587]],"vertex":[328.5,279.3]}],"canvas_size":[450,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1374","image_path":"images/angle_estimation_1374.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1374_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1374_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1374_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1374_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1374_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1374}
-{"angle_1_degrees":97.500486,"angle_2_degrees":53.546437,"angles":[{"angle_degrees":97.500486,"arc_sweep_degrees":97.500486,"ray_endpoints":[[186.1609,180.4105],[207.9774,350.0484]],"vertex":[122.31,271.32]},{"angle_degrees":53.546437,"arc_sweep_degrees":53.546437,"ray_endpoints":[[407.5505,288.9702],[388.5198,404.1899]],"vertex":[330.69,271.32]}],"canvas_size":[453,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1375","image_path":"images/angle_estimation_1375.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1375_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1375_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1375_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1375_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1375_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1375}
-{"canvas_size":[479,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1376","image_path":"images/angle_estimation_1376.png","interior_angles_degrees":[127.942998,23.460896,28.596106],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1376_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1376_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1376_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1376_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1376_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1376,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[179.8637,334.5732],[424.0,334.5732],[55.0,174.4268]]}
-{"canvas_size":[459,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1377","image_path":"images/angle_estimation_1377.png","interior_angles_degrees":[102.348356,45.397369,32.254275],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1377_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1377_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1377_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1377_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1377_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1377,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[132.4701,439.4374],[404.0,439.4374],[55.0,85.5626]]}
-{"canvas_size":[450,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1378","image_path":"images/angle_estimation_1378.png","interior_angles_degrees":[131.690923,19.335792,28.973285],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1378_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1378_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1378_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1378_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1378_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1378,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[161.2628,304.6524],[395.0,304.6524],[55.0,185.3476]]}
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-{"canvas_size":[491,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1380","image_path":"images/angle_estimation_1380.png","interior_angles_degrees":[130.203449,17.208261,32.58829],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1380_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1380_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1380_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1380_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1380_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1380,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[154.7294,317.4997],[436.0,317.4997],[55.0,199.5003]]}
-{"angle_degrees":325.185119,"arc_sweep_degrees":325.185119,"canvas_size":[486,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1381","image_path":"images/angle_estimation_1381.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1381_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_1381_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1381_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"145","question_id":"angle_estimation_1381_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1381_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[267.9417,386.658],[358.6597,371.5335]],"scene_type":"single","seed":1381,"vertex":[243.0,259.5]}
-{"angle_degrees":316.441318,"arc_sweep_degrees":316.441318,"canvas_size":[492,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1382","image_path":"images/angle_estimation_1382.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1382_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_1382_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1382_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"136","question_id":"angle_estimation_1382_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1382_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[140.8958,114.9436],[131.8013,232.8302]],"scene_type":"single","seed":1382,"vertex":[246.0,250.0]}
-{"angle_degrees":341.204899,"arc_sweep_degrees":341.204899,"canvas_size":[457,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1383","image_path":"images/angle_estimation_1383.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1383_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_1383_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1383_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"161","question_id":"angle_estimation_1383_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1383_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[73.6021,206.1249],[123.1276,254.0321]],"scene_type":"single","seed":1383,"vertex":[228.5,246.0]}
-{"angle_degrees":259.69039,"arc_sweep_degrees":259.69039,"canvas_size":[469,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1384","image_path":"images/angle_estimation_1384.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1384_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_1384_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1384_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"80","question_id":"angle_estimation_1384_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1384_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[290.1707,120.454],[126.8084,209.7669]],"scene_type":"single","seed":1384,"vertex":[234.5,238.5]}
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-{"angle_degrees":226.765858,"arc_sweep_degrees":226.765858,"canvas_size":[487,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1388","image_path":"images/angle_estimation_1388.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1388_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_1388_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1388_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"47","question_id":"angle_estimation_1388_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1388_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[118.2481,146.8703],[245.0562,377.3501]],"scene_type":"single","seed":1388,"vertex":[243.5,261.5]}
-{"angle_1_degrees":11.686804,"angle_2_degrees":77.617412,"angles":[{"angle_degrees":11.686804,"arc_sweep_degrees":11.686804,"ray_endpoints":[[103.412,391.4061],[76.6286,399.4568]],"vertex":[122.31,285.0]},{"angle_degrees":77.617412,"arc_sweep_degrees":77.617412,"ray_endpoints":[[413.6911,331.0334],[290.3992,419.8889]],"vertex":[330.69,285.0]}],"canvas_size":[453,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1389","image_path":"images/angle_estimation_1389.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1389_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1389_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1389_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1389_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1389_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1389}
-{"angle_1_degrees":83.736126,"angle_2_degrees":107.629915,"angles":[{"angle_degrees":83.736126,"arc_sweep_degrees":83.736126,"ray_endpoints":[[176.0025,332.9635],[19.8097,353.7012]],"vertex":[122.85,259.92]},{"angle_degrees":107.629915,"arc_sweep_degrees":107.629915,"ray_endpoints":[[254.0385,293.4182],[319.4212,129.6853]],"vertex":[332.15,259.92]}],"canvas_size":[455,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1390","image_path":"images/angle_estimation_1390.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1390_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1390_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1390_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1390_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1390_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1390}
-{"angle_1_degrees":143.550715,"angle_2_degrees":124.739723,"angles":[{"angle_degrees":143.550715,"arc_sweep_degrees":143.550715,"ray_endpoints":[[52.683,328.3123],[155.4132,167.5828]],"vertex":[123.66,274.74]},{"angle_degrees":124.739723,"arc_sweep_degrees":124.739723,"ray_endpoints":[[250.2987,271.3809],[408.0934,176.9675]],"vertex":[334.34,274.74]}],"canvas_size":[458,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1391","image_path":"images/angle_estimation_1391.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1391_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1391_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1391_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1391_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1391_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1391}
-{"angle_1_degrees":63.302403,"angle_2_degrees":17.651312,"angles":[{"angle_degrees":63.302403,"arc_sweep_degrees":63.302403,"ray_endpoints":[[60.2944,312.7437],[26.5378,211.0939]],"vertex":[125.82,272.46]},{"angle_degrees":17.651312,"arc_sweep_degrees":17.651312,"ray_endpoints":[[409.0361,357.2939],[390.5931,401.0101]],"vertex":[340.18,272.46]}],"canvas_size":[466,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1392","image_path":"images/angle_estimation_1392.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1392_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1392_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1392_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1392_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1392_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1392}
-{"angle_1_degrees":28.306663,"angle_2_degrees":158.507915,"angles":[{"angle_degrees":28.306663,"arc_sweep_degrees":28.306663,"ray_endpoints":[[32.9244,259.6496],[32.1968,195.7954]],"vertex":[127.98,283.86]},{"angle_degrees":158.507915,"arc_sweep_degrees":158.507915,"ray_endpoints":[[290.6601,199.0929],[459.0133,364.0417]],"vertex":[346.02,283.86]}],"canvas_size":[474,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1393","image_path":"images/angle_estimation_1393.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1393_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1393_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_1393_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1393_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1393_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1393}
-{"angle_1_degrees":81.842893,"angle_2_degrees":131.80082,"angles":[{"angle_degrees":81.842893,"arc_sweep_degrees":81.842893,"ray_endpoints":[[15.4164,276.7159],[90.8121,125.0038]],"vertex":[128.25,262.77]},{"angle_degrees":131.80082,"arc_sweep_degrees":131.80082,"ray_endpoints":[[423.6975,205.3924],[336.5575,377.2013]],"vertex":[346.75,262.77]}],"canvas_size":[475,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1394","image_path":"images/angle_estimation_1394.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1394_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1394_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1394_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1394_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1394_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1394}
-{"angle_1_degrees":17.052881,"angle_2_degrees":82.335965,"angles":[{"angle_degrees":17.052881,"arc_sweep_degrees":17.052881,"ray_endpoints":[[41.8634,228.1153],[45.4343,195.6622]],"vertex":[132.84,259.92]},{"angle_degrees":82.335965,"arc_sweep_degrees":82.335965,"ray_endpoints":[[436.2924,277.9711],[348.8396,366.9507]],"vertex":[359.16,259.92]}],"canvas_size":[492,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1395","image_path":"images/angle_estimation_1395.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1395_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1395_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1395_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1395_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1395_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1395}
-{"canvas_size":[454,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1396","image_path":"images/angle_estimation_1396.png","interior_angles_degrees":[71.598338,35.511243,72.890419],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1396_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1396_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1396_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1396_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1396_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1396,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,354.6895],[399.0,354.6895],[120.9983,156.3105]]}
-{"canvas_size":[454,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1397","image_path":"images/angle_estimation_1397.png","interior_angles_degrees":[54.962937,58.82527,66.211793],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1397_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1397_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1397_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1397_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1397_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1397,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,381.6806],[399.0,381.6806],[239.6615,118.3194]]}
-{"canvas_size":[471,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1398","image_path":"images/angle_estimation_1398.png","interior_angles_degrees":[54.124387,42.071127,83.804485],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1398_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1398_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1398_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1398_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1398_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1398,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,348.576],[416.0,348.576],[197.5864,151.424]]}
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-{"angle_degrees":314.799653,"arc_sweep_degrees":314.799653,"canvas_size":[496,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1401","image_path":"images/angle_estimation_1401.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1401_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_1401_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1401_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"135","question_id":"angle_estimation_1401_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1401_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[300.2724,98.7733],[188.3541,130.0428]],"scene_type":"single","seed":1401,"vertex":[248.0,251.0]}
-{"angle_degrees":17.679862,"arc_sweep_degrees":17.679862,"canvas_size":[489,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1402","image_path":"images/angle_estimation_1402.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1402_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_1402_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1402_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"162","question_id":"angle_estimation_1402_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1402_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[260.8103,131.4521],[297.9357,143.1821]],"scene_type":"single","seed":1402,"vertex":[244.5,257.5]}
-{"angle_degrees":56.915059,"arc_sweep_degrees":56.915059,"canvas_size":[470,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1403","image_path":"images/angle_estimation_1403.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1403_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1403_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1403_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"123","question_id":"angle_estimation_1403_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1403_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[177.3748,402.284],[109.3677,278.2378]],"scene_type":"single","seed":1403,"vertex":[235.0,251.0]}
-{"angle_degrees":62.835726,"arc_sweep_degrees":62.835726,"canvas_size":[499,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1404","image_path":"images/angle_estimation_1404.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1404_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1404_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1404_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"117","question_id":"angle_estimation_1404_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1404_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[342.4776,137.9496],[386.7234,277.3532]],"scene_type":"single","seed":1404,"vertex":[249.5,240.5]}
-{"angle_degrees":120.000024,"arc_sweep_degrees":120.000024,"canvas_size":[477,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1405","image_path":"images/angle_estimation_1405.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1405_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_1405_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1405_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"60","question_id":"angle_estimation_1405_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1405_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[280.1213,374.8217],[87.7781,211.6706]],"scene_type":"single","seed":1405,"vertex":[238.5,244.5]}
-{"angle_degrees":235.43415,"arc_sweep_degrees":235.43415,"canvas_size":[461,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1406","image_path":"images/angle_estimation_1406.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1406_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_1406_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1406_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"55","question_id":"angle_estimation_1406_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1406_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[333.3523,354.4723],[248.9452,146.8067]],"scene_type":"single","seed":1406,"vertex":[230.5,254.0]}
-{"angle_degrees":168.391573,"arc_sweep_degrees":168.391573,"canvas_size":[455,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1407","image_path":"images/angle_estimation_1407.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1407_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1407_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1407_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"12","question_id":"angle_estimation_1407_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1407_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[103.8575,369.8913],[310.3477,147.0524]],"scene_type":"single","seed":1407,"vertex":[227.5,259.0]}
-{"angle_degrees":48.230871,"arc_sweep_degrees":48.230871,"canvas_size":[481,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1408","image_path":"images/angle_estimation_1408.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1408_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_1408_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1408_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"132","question_id":"angle_estimation_1408_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1408_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[147.9466,138.0951],[255.027,134.8371]],"scene_type":"single","seed":1408,"vertex":[240.5,245.5]}
-{"angle_1_degrees":17.394028,"angle_2_degrees":164.549082,"angles":[{"angle_degrees":17.394028,"arc_sweep_degrees":17.394028,"ray_endpoints":[[62.1833,334.5878],[12.2168,332.0609]],"vertex":[122.04,275.31]},{"angle_degrees":164.549082,"arc_sweep_degrees":164.549082,"ray_endpoints":[[342.1023,161.2056],[352.6278,412.5814]],"vertex":[329.96,275.31]}],"canvas_size":[452,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1409","image_path":"images/angle_estimation_1409.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1409_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1409_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"150","question_id":"angle_estimation_1409_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1409_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1409_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1409}
-{"angle_1_degrees":71.697844,"angle_2_degrees":134.62527,"angles":[{"angle_degrees":71.697844,"arc_sweep_degrees":71.697844,"ray_endpoints":[[117.2112,350.2428],[16.999,292.0341]],"vertex":[126.36,269.04]},{"angle_degrees":134.62527,"arc_sweep_degrees":134.62527,"ray_endpoints":[[413.6963,229.5379],[306.019,394.1448]],"vertex":[341.64,269.04]}],"canvas_size":[468,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1410","image_path":"images/angle_estimation_1410.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1410_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1410_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1410_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1410_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1410_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1410}
-{"angle_1_degrees":37.603584,"angle_2_degrees":51.22385,"angles":[{"angle_degrees":37.603584,"arc_sweep_degrees":37.603584,"ray_endpoints":[[194.054,310.143],[164.3943,397.5132]],"vertex":[134.46,259.92]},{"angle_degrees":51.22385,"arc_sweep_degrees":51.22385,"ray_endpoints":[[442.2313,329.4671],[358.1615,374.2257]],"vertex":[363.54,259.92]}],"canvas_size":[498,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1411","image_path":"images/angle_estimation_1411.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1411_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1411_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1411_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1411_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1411_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1411}
-{"angle_1_degrees":100.753453,"angle_2_degrees":70.713053,"angles":[{"angle_degrees":100.753453,"arc_sweep_degrees":100.753453,"ray_endpoints":[[64.3251,325.6061],[49.1636,144.8942]],"vertex":[129.6,257.07]},{"angle_degrees":70.713053,"arc_sweep_degrees":70.713053,"ray_endpoints":[[304.9376,169.4788],[446.0914,155.4623]],"vertex":[350.4,257.07]}],"canvas_size":[480,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1412","image_path":"images/angle_estimation_1412.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1412_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1412_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1412_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1412_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1412_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1412}
-{"angle_1_degrees":26.270936,"angle_2_degrees":81.101024,"angles":[{"angle_degrees":26.270936,"arc_sweep_degrees":26.270936,"ray_endpoints":[[59.8273,327.3322],[15.3632,296.6553]],"vertex":[129.33,273.6]},{"angle_degrees":81.101024,"arc_sweep_degrees":81.101024,"ray_endpoints":[[252.5324,256.0405],[353.0236,131.051]],"vertex":[349.67,273.6]}],"canvas_size":[479,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1413","image_path":"images/angle_estimation_1413.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1413_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1413_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1413_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1413_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1413_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1413}
-{"angle_1_degrees":15.58582,"angle_2_degrees":69.899103,"angles":[{"angle_degrees":15.58582,"arc_sweep_degrees":15.58582,"ray_endpoints":[[102.3139,386.4592],[62.1247,401.3681]],"vertex":[123.66,280.44]},{"angle_degrees":69.899103,"arc_sweep_degrees":69.899103,"ray_endpoints":[[273.3126,185.4878],[409.3571,181.4995]],"vertex":[334.34,280.44]}],"canvas_size":[458,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1414","image_path":"images/angle_estimation_1414.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1414_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1414_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1414_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1414_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1414_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1414}
-{"angle_1_degrees":61.338561,"angle_2_degrees":118.764246,"angles":[{"angle_degrees":61.338561,"arc_sweep_degrees":61.338561,"ray_endpoints":[[221.2867,226.9996],[228.5808,338.6514]],"vertex":[130.68,283.29]},{"angle_degrees":118.764246,"arc_sweep_degrees":118.764246,"ray_endpoints":[[267.2205,357.8277],[329.4091,171.9359]],"vertex":[353.32,283.29]}],"canvas_size":[484,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1415","image_path":"images/angle_estimation_1415.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1415_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1415_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1415_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1415_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1415_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1415}
-{"canvas_size":[456,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1416","image_path":"images/angle_estimation_1416.png","interior_angles_degrees":[89.879189,45.069894,45.050918],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1416_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1416_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1416_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1416_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1416_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1416,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[55.0,433.5568],[401.0,433.5568],[55.7298,87.4432]]}
-{"canvas_size":[470,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1417","image_path":"images/angle_estimation_1417.png","interior_angles_degrees":[90.841938,33.404541,55.753521],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1417_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1417_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1417_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1417_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1417_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1417,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[58.489,381.2086],[415.0,381.2086],[55.0,143.7914]]}
-{"canvas_size":[499,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1418","image_path":"images/angle_estimation_1418.png","interior_angles_degrees":[90.80341,42.935225,46.261364],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1418_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1418_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1418_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1418_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1418_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1418,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[65.7943,416.0],[438.1278,416.0],[60.8722,65.0]]}
-{"canvas_size":[486,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1419","image_path":"images/angle_estimation_1419.png","interior_angles_degrees":[88.960017,28.242127,62.797856],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1419_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1419_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1419_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1419_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1419_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1419,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,356.0076],[431.0,356.0076],[58.6309,155.9924]]}
-{"canvas_size":[496,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1420","image_path":"images/angle_estimation_1420.png","interior_angles_degrees":[89.701219,24.297091,66.00169],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1420_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1420_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1420_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1420_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1420_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1420,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,339.9264],[441.0,339.9264],[55.9066,166.0736]]}
-{"angle_degrees":71.08776,"arc_sweep_degrees":71.08776,"canvas_size":[453,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1421","image_path":"images/angle_estimation_1421.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1421_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1421_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1421_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"109","question_id":"angle_estimation_1421_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1421_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[101.8326,194.5256],[240.2405,138.9052]],"scene_type":"single","seed":1421,"vertex":[226.5,254.5]}
-{"angle_degrees":159.955028,"arc_sweep_degrees":159.955028,"canvas_size":[463,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1422","image_path":"images/angle_estimation_1422.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1422_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1422_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1422_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"20","question_id":"angle_estimation_1422_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1422_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[104.4714,357.6069],[284.7274,160.6054]],"scene_type":"single","seed":1422,"vertex":[231.5,252.0]}
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-{"angle_degrees":89.999982,"arc_sweep_degrees":89.999982,"canvas_size":[470,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1425","image_path":"images/angle_estimation_1425.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"right","question_id":"angle_estimation_1425_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_1425_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"approximately equal to","question_id":"angle_estimation_1425_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"90","question_id":"angle_estimation_1425_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1425_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[158.5558,83.4149],[343.0599,183.2151]],"scene_type":"single","seed":1425,"vertex":[235.0,237.0]}
-{"angle_degrees":83.936972,"arc_sweep_degrees":83.936972,"canvas_size":[455,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1426","image_path":"images/angle_estimation_1426.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1426_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_1426_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1426_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"96","question_id":"angle_estimation_1426_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1426_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[164.4644,365.7073],[98.1942,199.3078]],"scene_type":"single","seed":1426,"vertex":[227.5,257.0]}
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-{"angle_degrees":231.375343,"arc_sweep_degrees":231.375343,"canvas_size":[483,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1428","image_path":"images/angle_estimation_1428.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1428_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_1428_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1428_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"51","question_id":"angle_estimation_1428_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1428_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[140.6267,339.6824],[386.2911,280.3644]],"scene_type":"single","seed":1428,"vertex":[241.5,253.0]}
-{"angle_1_degrees":165.259325,"angle_2_degrees":49.238602,"angles":[{"angle_degrees":165.259325,"arc_sweep_degrees":165.259325,"ray_endpoints":[[61.8199,324.583],[198.0714,172.9546]],"vertex":[123.39,274.74]},{"angle_degrees":49.238602,"arc_sweep_degrees":49.238602,"ray_endpoints":[[320.5491,175.9474],[414.708,183.7415]],"vertex":[333.61,274.74]}],"canvas_size":[457,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1429","image_path":"images/angle_estimation_1429.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1429_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1429_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_1429_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1429_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1429_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1429}
-{"angle_1_degrees":80.829127,"angle_2_degrees":12.658269,"angles":[{"angle_degrees":80.829127,"arc_sweep_degrees":80.829127,"ray_endpoints":[[102.0638,380.1895],[12.872,271.0512]],"vertex":[126.36,279.87]},{"angle_degrees":12.658269,"arc_sweep_degrees":12.658269,"ray_endpoints":[[382.1732,359.6019],[375.7788,413.9085]],"vertex":[341.64,279.87]}],"canvas_size":[468,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1430","image_path":"images/angle_estimation_1430.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1430_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1430_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1430_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1430_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1430_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1430}
-{"angle_1_degrees":100.509615,"angle_2_degrees":77.302456,"angles":[{"angle_degrees":100.509615,"arc_sweep_degrees":100.509615,"ray_endpoints":[[224.2617,238.5325],[137.1009,367.258]],"vertex":[130.41,262.2]},{"angle_degrees":77.302456,"arc_sweep_degrees":77.302456,"ray_endpoints":[[444.4944,323.537],[301.7653,394.4538]],"vertex":[352.59,262.2]}],"canvas_size":[483,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1431","image_path":"images/angle_estimation_1431.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1431_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1431_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1431_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1431_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1431_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1431}
-{"angle_1_degrees":169.52102,"angle_2_degrees":33.999767,"angles":[{"angle_degrees":169.52102,"arc_sweep_degrees":169.52102,"ray_endpoints":[[64.2033,199.2207],[223.8001,317.2921]],"vertex":[129.6,258.78]},{"angle_degrees":33.999767,"arc_sweep_degrees":33.999767,"ray_endpoints":[[399.5282,317.5823],[364.8208,398.8449]],"vertex":[350.4,258.78]}],"canvas_size":[480,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1432","image_path":"images/angle_estimation_1432.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1432_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1432_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_1432_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1432_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1432_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1432}
-{"angle_1_degrees":69.161009,"angle_2_degrees":15.804964,"angles":[{"angle_degrees":69.161009,"arc_sweep_degrees":69.161009,"ray_endpoints":[[205.1775,291.2082],[127.9041,380.0602]],"vertex":[133.92,259.92]},{"angle_degrees":15.804964,"arc_sweep_degrees":15.804964,"ray_endpoints":[[294.6461,195.484],[290.4281,138.2664]],"vertex":[362.08,259.92]}],"canvas_size":[496,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1433","image_path":"images/angle_estimation_1433.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1433_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1433_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1433_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1433_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1433_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1433}
-{"angle_1_degrees":166.234534,"angle_2_degrees":16.063566,"angles":[{"angle_degrees":166.234534,"arc_sweep_degrees":166.234534,"ray_endpoints":[[176.1616,373.9732],[38.3074,182.2925]],"vertex":[121.5,273.6]},{"angle_degrees":16.063566,"arc_sweep_degrees":16.063566,"ray_endpoints":[[351.6885,349.4046],[330.5877,400.1376]],"vertex":[328.5,273.6]}],"canvas_size":[450,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1434","image_path":"images/angle_estimation_1434.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1434_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1434_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"150","question_id":"angle_estimation_1434_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1434_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1434_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1434}
-{"angle_1_degrees":62.826624,"angle_2_degrees":85.583374,"angles":[{"angle_degrees":62.826624,"arc_sweep_degrees":62.826624,"ray_endpoints":[[209.903,304.2498],[146.576,384.8019]],"vertex":[126.36,279.87]},{"angle_degrees":85.583374,"arc_sweep_degrees":85.583374,"ray_endpoints":[[439.783,277.039],[356.4795,419.4436]],"vertex":[341.64,279.87]}],"canvas_size":[468,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1435","image_path":"images/angle_estimation_1435.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1435_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1435_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1435_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1435_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1435_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1435}
-{"canvas_size":[500,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1436","image_path":"images/angle_estimation_1436.png","interior_angles_degrees":[124.416659,23.814499,31.768842],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1436_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1436_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1436_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1436_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1436_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1436,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[172.9323,336.0642],[445.0,336.0642],[55.0,163.9358]]}
-{"canvas_size":[463,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1437","image_path":"images/angle_estimation_1437.png","interior_angles_degrees":[107.969864,28.953034,43.077102],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1437_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1437_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1437_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1437_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1437_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1437,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[118.341,362.1465],[408.0,362.1465],[55.0,166.8535]]}
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-{"canvas_size":[465,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1440","image_path":"images/angle_estimation_1440.png","interior_angles_degrees":[127.926147,22.434917,29.638936],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1440_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1440_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1440_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1440_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1440_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1440,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[169.2119,337.7868],[410.0,337.7868],[55.0,191.2132]]}
-{"angle_degrees":259.117315,"arc_sweep_degrees":259.117315,"canvas_size":[487,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1441","image_path":"images/angle_estimation_1441.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1441_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_1441_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1441_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"79","question_id":"angle_estimation_1441_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1441_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[204.0818,388.3773],[386.4721,256.8548]],"scene_type":"single","seed":1441,"vertex":[243.5,245.5]}
-{"angle_degrees":190.304677,"arc_sweep_degrees":190.304677,"canvas_size":[496,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1442","image_path":"images/angle_estimation_1442.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1442_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_1442_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1442_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"10","question_id":"angle_estimation_1442_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1442_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[281.6083,397.3817],[244.6413,114.6821]],"scene_type":"single","seed":1442,"vertex":[248.0,237.5]}
-{"angle_degrees":250.201296,"arc_sweep_degrees":250.201296,"canvas_size":[465,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1443","image_path":"images/angle_estimation_1443.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1443_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_1443_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1443_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"70","question_id":"angle_estimation_1443_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1443_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[100.2699,245.1854],[295.99,384.1326]],"scene_type":"single","seed":1443,"vertex":[232.5,237.0]}
-{"angle_degrees":313.015277,"arc_sweep_degrees":313.015277,"canvas_size":[493,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1444","image_path":"images/angle_estimation_1444.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1444_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_1444_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1444_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"133","question_id":"angle_estimation_1444_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1444_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[188.0402,93.1362],[116.8992,190.097]],"scene_type":"single","seed":1444,"vertex":[246.5,241.0]}
-{"angle_degrees":179.999998,"arc_sweep_degrees":179.999998,"canvas_size":[465,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1445","image_path":"images/angle_estimation_1445.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1445_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_1445_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1445_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_1445_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1445_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[187.0135,359.9346],[278.3353,124.1649]],"scene_type":"single","seed":1445,"vertex":[232.5,242.5]}
-{"angle_degrees":195.561935,"arc_sweep_degrees":195.561935,"canvas_size":[471,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1446","image_path":"images/angle_estimation_1446.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1446_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_1446_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1446_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"16","question_id":"angle_estimation_1446_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1446_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[125.9803,163.6636],[330.3287,356.006]],"scene_type":"single","seed":1446,"vertex":[235.5,240.5]}
-{"angle_degrees":156.886201,"arc_sweep_degrees":156.886201,"canvas_size":[455,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1447","image_path":"images/angle_estimation_1447.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1447_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1447_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1447_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"23","question_id":"angle_estimation_1447_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1447_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[138.5204,354.2336],[275.6199,132.6309]],"scene_type":"single","seed":1447,"vertex":[227.5,261.0]}
-{"angle_degrees":77.911625,"arc_sweep_degrees":77.911625,"canvas_size":[477,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1448","image_path":"images/angle_estimation_1448.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1448_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1448_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1448_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"102","question_id":"angle_estimation_1448_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1448_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[130.3628,149.5789],[325.1694,130.2481]],"scene_type":"single","seed":1448,"vertex":[238.5,260.5]}
-{"angle_1_degrees":30.609868,"angle_2_degrees":47.363339,"angles":[{"angle_degrees":30.609868,"arc_sweep_degrees":30.609868,"ray_endpoints":[[27.5519,285.7548],[19.2916,226.3426]],"vertex":[123.12,281.01]},{"angle_degrees":47.363339,"arc_sweep_degrees":47.363339,"ray_endpoints":[[269.4185,194.8314],[359.2536,145.2738]],"vertex":[332.88,281.01]}],"canvas_size":[456,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1449","image_path":"images/angle_estimation_1449.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1449_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1449_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1449_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1449_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1449_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1449}
-{"angle_1_degrees":108.445198,"angle_2_degrees":64.501149,"angles":[{"angle_degrees":108.445198,"arc_sweep_degrees":108.445198,"ray_endpoints":[[188.9593,328.5743],[35.6697,319.7214]],"vertex":[130.95,271.32]},{"angle_degrees":64.501149,"arc_sweep_degrees":64.501149,"ray_endpoints":[[275.518,296.4442],[267.8874,179.6929]],"vertex":[354.05,271.32]}],"canvas_size":[485,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1450","image_path":"images/angle_estimation_1450.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1450_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1450_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1450_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1450_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1450_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1450}
-{"angle_1_degrees":44.563449,"angle_2_degrees":112.537116,"angles":[{"angle_degrees":44.563449,"arc_sweep_degrees":44.563449,"ray_endpoints":[[95.9558,181.9523],[181.63,148.6864]],"vertex":[127.44,267.9]},{"angle_degrees":112.537116,"arc_sweep_degrees":112.537116,"ray_endpoints":[[265.0223,202.4304],[458.4943,207.3094]],"vertex":[344.56,267.9]}],"canvas_size":[472,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1451","image_path":"images/angle_estimation_1451.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1451_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1451_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1451_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1451_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1451_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1451}
-{"angle_1_degrees":24.667574,"angle_2_degrees":54.416382,"angles":[{"angle_degrees":24.667574,"arc_sweep_degrees":24.667574,"ray_endpoints":[[215.167,315.2226],[187.9533,353.3897]],"vertex":[126.09,259.92]},{"angle_degrees":54.416382,"arc_sweep_degrees":54.416382,"ray_endpoints":[[261.994,252.6077],[270.7695,139.8396]],"vertex":[340.91,259.92]}],"canvas_size":[467,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1452","image_path":"images/angle_estimation_1452.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1452_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1452_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1452_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1452_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1452_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1452}
-{"angle_1_degrees":131.190179,"angle_2_degrees":42.322294,"angles":[{"angle_degrees":131.190179,"arc_sweep_degrees":131.190179,"ray_endpoints":[[199.8697,291.8572],[28.6885,335.2356]],"vertex":[126.36,271.32]},{"angle_degrees":42.322294,"arc_sweep_degrees":42.322294,"ray_endpoints":[[421.4228,279.7684],[433.847,375.0547]],"vertex":[341.64,271.32]}],"canvas_size":[468,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1453","image_path":"images/angle_estimation_1453.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1453_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1453_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1453_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1453_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1453_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1453}
-{"angle_1_degrees":112.889612,"angle_2_degrees":150.369915,"angles":[{"angle_degrees":112.889612,"arc_sweep_degrees":112.889612,"ray_endpoints":[[36.2424,233.2775],[221.402,170.5432]],"vertex":[133.92,267.33]},{"angle_degrees":150.369915,"arc_sweep_degrees":150.369915,"ray_endpoints":[[399.4303,172.5061],[377.8344,377.5979]],"vertex":[362.08,267.33]}],"canvas_size":[496,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1454","image_path":"images/angle_estimation_1454.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1454_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1454_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1454_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1454_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1454_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1454}
-{"angle_1_degrees":58.596,"angle_2_degrees":38.628286,"angles":[{"angle_degrees":58.596,"arc_sweep_degrees":58.596,"ray_endpoints":[[224.6048,312.9748],[131.5,378.0619]],"vertex":[130.68,256.5]},{"angle_degrees":38.628286,"arc_sweep_degrees":38.628286,"ray_endpoints":[[256.7572,201.2998],[311.3468,150.5809]],"vertex":[353.32,256.5]}],"canvas_size":[484,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1455","image_path":"images/angle_estimation_1455.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1455_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1455_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1455_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1455_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1455_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1455}
-{"canvas_size":[479,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1456","image_path":"images/angle_estimation_1456.png","interior_angles_degrees":[61.927216,39.901059,78.171725],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1456_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1456_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1456_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1456_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1456_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1456,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,351.1917],[424.0,351.1917],[168.8059,137.8083]]}
-{"canvas_size":[471,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1457","image_path":"images/angle_estimation_1457.png","interior_angles_degrees":[63.411988,36.55171,80.036302],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1457_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1457_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1457_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1457_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1457_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1457,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,338.6005],[416.0,338.6005],[152.6983,143.3995]]}
-{"canvas_size":[458,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1458","image_path":"images/angle_estimation_1458.png","interior_angles_degrees":[64.682562,57.982079,57.335359],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1458_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1458_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1458_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1458_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1458_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1458,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,403.4159],[403.0,403.4159],[204.8837,86.5841]]}
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-{"canvas_size":[493,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1460","image_path":"images/angle_estimation_1460.png","interior_angles_degrees":[52.462809,47.595951,79.941239],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1460_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1460_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1460_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1460_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1460_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1460,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,365.8787],[438.0,365.8787],[229.9994,138.1213]]}
-{"angle_degrees":25.495488,"arc_sweep_degrees":25.495488,"canvas_size":[452,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1461","image_path":"images/angle_estimation_1461.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1461_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_1461_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1461_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"155","question_id":"angle_estimation_1461_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1461_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[397.3859,223.155],[379.2061,296.164]],"scene_type":"single","seed":1461,"vertex":[226.0,257.5]}
-{"angle_degrees":322.766447,"arc_sweep_degrees":322.766447,"canvas_size":[466,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1462","image_path":"images/angle_estimation_1462.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1462_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_1462_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1462_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"143","question_id":"angle_estimation_1462_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1462_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[263.506,88.3975],[179.6003,154.6274]],"scene_type":"single","seed":1462,"vertex":[233.0,259.0]}
-{"angle_degrees":69.435434,"arc_sweep_degrees":69.435434,"canvas_size":[491,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1463","image_path":"images/angle_estimation_1463.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1463_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1463_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1463_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"111","question_id":"angle_estimation_1463_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1463_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[112.9773,239.2503],[203.2834,106.6337]],"scene_type":"single","seed":1463,"vertex":[245.5,248.5]}
-{"angle_degrees":349.35588,"arc_sweep_degrees":349.35588,"canvas_size":[470,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1464","image_path":"images/angle_estimation_1464.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1464_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_1464_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1464_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"169","question_id":"angle_estimation_1464_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1464_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[219.5752,77.4679],[193.4827,103.8877]],"scene_type":"single","seed":1464,"vertex":[235.0,251.5]}
-{"angle_degrees":119.999984,"arc_sweep_degrees":119.999984,"canvas_size":[465,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1465","image_path":"images/angle_estimation_1465.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1465_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_1465_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1465_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"60","question_id":"angle_estimation_1465_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1465_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[299.4016,80.966],[312.2462,345.8929]],"scene_type":"single","seed":1465,"vertex":[232.5,241.5]}
-{"angle_degrees":135.879854,"arc_sweep_degrees":135.879854,"canvas_size":[489,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1466","image_path":"images/angle_estimation_1466.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1466_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1466_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1466_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"44","question_id":"angle_estimation_1466_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1466_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[135.8064,179.966],[389.2288,218.0333]],"scene_type":"single","seed":1466,"vertex":[244.5,248.5]}
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-{"angle_1_degrees":37.982485,"angle_2_degrees":92.741699,"angles":[{"angle_degrees":37.982485,"arc_sweep_degrees":37.982485,"ray_endpoints":[[207.0461,283.4222],[217.2382,363.6002]],"vertex":[132.57,270.75]},{"angle_degrees":92.741699,"arc_sweep_degrees":92.741699,"ray_endpoints":[[337.0786,197.6811],[474.1548,242.8662]],"vertex":[358.43,270.75]}],"canvas_size":[491,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1470","image_path":"images/angle_estimation_1470.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1470_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1470_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1470_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1470_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1470_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1470}
-{"angle_1_degrees":33.934511,"angle_2_degrees":64.394579,"angles":[{"angle_degrees":33.934511,"arc_sweep_degrees":33.934511,"ray_endpoints":[[126.3444,183.8081],[207.8155,144.4268]],"vertex":[123.93,261.06]},{"angle_degrees":64.394579,"arc_sweep_degrees":64.394579,"ray_endpoints":[[273.0289,200.1491],[380.8194,127.1924]],"vertex":[335.07,261.06]}],"canvas_size":[459,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1471","image_path":"images/angle_estimation_1471.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1471_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1471_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1471_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1471_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1471_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1471}
-{"angle_1_degrees":87.635549,"angle_2_degrees":97.658623,"angles":[{"angle_degrees":87.635549,"arc_sweep_degrees":87.635549,"ray_endpoints":[[59.6082,217.0231],[188.4641,153.8779]],"vertex":[125.28,259.92]},{"angle_degrees":97.658623,"arc_sweep_degrees":97.658623,"ray_endpoints":[[363.6731,173.7245],[437.4993,303.4952]],"vertex":[338.72,259.92]}],"canvas_size":[464,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1472","image_path":"images/angle_estimation_1472.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1472_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1472_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1472_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1472_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1472_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1472}
-{"angle_1_degrees":157.44205,"angle_2_degrees":97.689794,"angles":[{"angle_degrees":157.44205,"arc_sweep_degrees":157.44205,"ray_endpoints":[[52.9659,314.4395],[201.7039,190.1346]],"vertex":[123.12,279.87]},{"angle_degrees":97.689794,"arc_sweep_degrees":97.689794,"ray_endpoints":[[247.1522,224.4611],[407.22,193.0312]],"vertex":[332.88,279.87]}],"canvas_size":[456,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1473","image_path":"images/angle_estimation_1473.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1473_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1473_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1473_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1473_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1473_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1473}
-{"angle_1_degrees":26.166112,"angle_2_degrees":68.116807,"angles":[{"angle_degrees":26.166112,"arc_sweep_degrees":26.166112,"ray_endpoints":[[134.7854,178.1153],[202.3977,152.3679]],"vertex":[122.31,272.46]},{"angle_degrees":68.116807,"arc_sweep_degrees":68.116807,"ray_endpoints":[[254.7068,307.9409],[243.6467,191.0455]],"vertex":[330.69,272.46]}],"canvas_size":[453,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1474","image_path":"images/angle_estimation_1474.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1474_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1474_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1474_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1474_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1474_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1474}
-{"angle_1_degrees":36.660437,"angle_2_degrees":151.284449,"angles":[{"angle_degrees":36.660437,"arc_sweep_degrees":36.660437,"ray_endpoints":[[58.393,204.0308],[114.1117,162.4392]],"vertex":[123.39,278.16]},{"angle_degrees":151.284449,"arc_sweep_degrees":151.284449,"ray_endpoints":[[330.5558,382.6095],[277.3845,168.0045]],"vertex":[333.61,278.16]}],"canvas_size":[457,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1475","image_path":"images/angle_estimation_1475.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1475_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1475_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_1475_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1475_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1475_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1475}
-{"canvas_size":[485,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1476","image_path":"images/angle_estimation_1476.png","interior_angles_degrees":[89.228502,49.905926,40.865572],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1476_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1476_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1476_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1476_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1476_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1476,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[92.8107,415.0],[392.1893,415.0],[97.5238,65.0]]}
-{"canvas_size":[494,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1477","image_path":"images/angle_estimation_1477.png","interior_angles_degrees":[89.816909,43.050738,47.132353],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1477_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1477_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1477_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1477_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1477_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1477,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,434.3272],[439.0,434.3272],[56.1429,76.6728]]}
-{"canvas_size":[487,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1478","image_path":"images/angle_estimation_1478.png","interior_angles_degrees":[90.389042,33.324421,56.286536],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1478_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1478_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1478_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1478_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1478_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1478,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.6831,386.9364],[432.0,386.9364],[55.0,139.0636]]}
-{"canvas_size":[453,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1479","image_path":"images/angle_estimation_1479.png","interior_angles_degrees":[88.970935,44.114349,46.914716],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1479_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1479_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1479_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1479_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1479_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1479,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,412.4321],[398.0,412.4321],[60.8713,85.5679]]}
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-{"angle_1_degrees":12.381634,"angle_2_degrees":113.936032,"angles":[{"angle_degrees":12.381634,"arc_sweep_degrees":12.381634,"ray_endpoints":[[94.3415,346.6224],[62.018,360.1564]],"vertex":[128.79,273.03]},{"angle_degrees":113.936032,"arc_sweep_degrees":113.936032,"ray_endpoints":[[418.6982,303.2895],[267.3537,347.9847]],"vertex":[348.21,273.03]}],"canvas_size":[477,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1489","image_path":"images/angle_estimation_1489.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1489_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1489_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1489_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1489_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1489_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1489}
-{"angle_1_degrees":53.007445,"angle_2_degrees":37.644723,"angles":[{"angle_degrees":53.007445,"arc_sweep_degrees":53.007445,"ray_endpoints":[[220.1858,342.2824],[128.1255,390.1028]],"vertex":[130.41,271.89]},{"angle_degrees":37.644723,"arc_sweep_degrees":37.644723,"ray_endpoints":[[281.4133,228.1244],[304.2823,144.508]],"vertex":[352.59,271.89]}],"canvas_size":[483,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1490","image_path":"images/angle_estimation_1490.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1490_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1490_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1490_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1490_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1490_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1490}
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-{"angle_1_degrees":132.631053,"angle_2_degrees":153.449714,"angles":[{"angle_degrees":132.631053,"arc_sweep_degrees":132.631053,"ray_endpoints":[[222.2047,253.373],[53.7212,362.1658]],"vertex":[132.03,261.06]},{"angle_degrees":153.449714,"arc_sweep_degrees":153.449714,"ray_endpoints":[[296.4885,353.7775],[372.1692,129.0299]],"vertex":[356.97,261.06]}],"canvas_size":[489,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1492","image_path":"images/angle_estimation_1492.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1492_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1492_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1492_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1492_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1492_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1492}
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-{"angle_1_degrees":15.28316,"angle_2_degrees":152.700945,"angles":[{"angle_degrees":15.28316,"arc_sweep_degrees":15.28316,"ray_endpoints":[[192.2458,348.5041],[164.9413,360.7188]],"vertex":[124.47,257.64]},{"angle_degrees":152.700945,"arc_sweep_degrees":152.700945,"ray_endpoints":[[328.5866,371.3391],[294.3027,159.6019]],"vertex":[336.53,257.64]}],"canvas_size":[461,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1494","image_path":"images/angle_estimation_1494.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1494_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1494_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_1494_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1494_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1494_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1494}
-{"angle_1_degrees":119.347824,"angle_2_degrees":149.181292,"angles":[{"angle_degrees":119.347824,"arc_sweep_degrees":119.347824,"ray_endpoints":[[160.9004,358.2023],[22.5461,267.5631]],"vertex":[128.79,280.44]},{"angle_degrees":149.181292,"arc_sweep_degrees":149.181292,"ray_endpoints":[[407.7072,224.2192],[312.6238,406.1729]],"vertex":[348.21,280.44]}],"canvas_size":[477,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1495","image_path":"images/angle_estimation_1495.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1495_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1495_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1495_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1495_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1495_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1495}
-{"canvas_size":[454,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1496","image_path":"images/angle_estimation_1496.png","interior_angles_degrees":[134.979092,18.628692,26.392216],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1496_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1496_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1496_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1496_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1496_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1496,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[170.876,297.9803],[399.0,297.9803],[55.0,182.0197]]}
-{"canvas_size":[455,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1497","image_path":"images/angle_estimation_1497.png","interior_angles_degrees":[103.579095,28.990239,47.430666],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1497_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1497_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1497_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1497_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1497_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1497,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[101.1726,339.0799],[400.0,339.0799],[55.0,147.9201]]}
-{"canvas_size":[459,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1498","image_path":"images/angle_estimation_1498.png","interior_angles_degrees":[109.799669,37.502943,32.697388],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1498_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1498_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1498_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1498_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1498_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1498,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[151.4214,387.9128],[404.0,387.9128],[55.0,120.0872]]}
-{"canvas_size":[472,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1499","image_path":"images/angle_estimation_1499.png","interior_angles_degrees":[121.69533,33.648394,24.656276],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1499_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1499_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1499_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1499_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1499_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1499,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[203.7886,375.4766],[417.0,375.4766],[55.0,134.5234]]}
-{"canvas_size":[469,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1500","image_path":"images/angle_estimation_1500.png","interior_angles_degrees":[112.229603,25.179903,42.590493],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1500_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1500_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1500_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1500_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1500_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1500,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[123.9791,325.8894],[414.0,325.8894],[55.0,157.1106]]}
-{"angle_degrees":154.748754,"arc_sweep_degrees":154.748754,"canvas_size":[490,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1501","image_path":"images/angle_estimation_1501.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1501_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1501_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1501_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"25","question_id":"angle_estimation_1501_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1501_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[345.4421,165.0679],[181.508,370.8634]],"scene_type":"single","seed":1501,"vertex":[245.0,244.0]}
-{"angle_degrees":212.269367,"arc_sweep_degrees":212.269367,"canvas_size":[460,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1502","image_path":"images/angle_estimation_1502.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1502_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_1502_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1502_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"32","question_id":"angle_estimation_1502_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1502_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[318.0953,146.9553],[105.706,294.2345]],"scene_type":"single","seed":1502,"vertex":[230.0,253.5]}
-{"angle_degrees":321.014283,"arc_sweep_degrees":321.014283,"canvas_size":[479,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1503","image_path":"images/angle_estimation_1503.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1503_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_1503_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1503_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"141","question_id":"angle_estimation_1503_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1503_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[145.4549,363.7612],[243.081,375.0128]],"scene_type":"single","seed":1503,"vertex":[239.5,241.0]}
-{"angle_degrees":58.05012,"arc_sweep_degrees":58.05012,"canvas_size":[476,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1504","image_path":"images/angle_estimation_1504.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1504_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1504_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1504_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"122","question_id":"angle_estimation_1504_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1504_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[229.151,98.6078],[346.0335,178.2944]],"scene_type":"single","seed":1504,"vertex":[238.0,254.5]}
-{"angle_degrees":29.999983,"arc_sweep_degrees":29.999983,"canvas_size":[457,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1505","image_path":"images/angle_estimation_1505.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1505_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_1505_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1505_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_1505_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1505_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[394.5291,302.1867],[327.3959,356.6754]],"scene_type":"single","seed":1505,"vertex":[228.5,257.0]}
-{"angle_degrees":206.475952,"arc_sweep_degrees":206.475952,"canvas_size":[461,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1506","image_path":"images/angle_estimation_1506.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1506_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_1506_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1506_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"26","question_id":"angle_estimation_1506_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1506_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[340.7764,120.3369],[128.3386,296.5816]],"scene_type":"single","seed":1506,"vertex":[230.5,252.0]}
-{"angle_degrees":138.403289,"arc_sweep_degrees":138.403289,"canvas_size":[452,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1507","image_path":"images/angle_estimation_1507.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1507_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1507_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1507_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"42","question_id":"angle_estimation_1507_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1507_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[378.1921,250.0639],[134.6666,350.1965]],"scene_type":"single","seed":1507,"vertex":[226.0,259.0]}
-{"angle_degrees":190.492648,"arc_sweep_degrees":190.492648,"canvas_size":[469,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1508","image_path":"images/angle_estimation_1508.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1508_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_1508_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1508_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"10","question_id":"angle_estimation_1508_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1508_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[366.4533,232.2317],[107.0111,253.4362]],"scene_type":"single","seed":1508,"vertex":[234.5,255.0]}
-{"angle_1_degrees":17.516968,"angle_2_degrees":81.138331,"angles":[{"angle_degrees":17.516968,"arc_sweep_degrees":17.516968,"ray_endpoints":[[132.551,360.8501],[98.8262,403.7294]],"vertex":[126.09,283.29]},{"angle_degrees":81.138331,"arc_sweep_degrees":81.138331,"ray_endpoints":[[256.938,242.2473],[373.0831,179.2666]],"vertex":[340.91,283.29]}],"canvas_size":[467,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1509","image_path":"images/angle_estimation_1509.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1509_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1509_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1509_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1509_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1509_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1509}
-{"angle_1_degrees":71.966958,"angle_2_degrees":119.53346,"angles":[{"angle_degrees":71.966958,"arc_sweep_degrees":71.966958,"ray_endpoints":[[203.3792,245.0743],[205.0602,369.0499]],"vertex":[128.25,273.6]},{"angle_degrees":119.53346,"arc_sweep_degrees":119.53346,"ray_endpoints":[[289.6336,329.281],[310.7848,136.8731]],"vertex":[346.75,273.6]}],"canvas_size":[475,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1510","image_path":"images/angle_estimation_1510.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1510_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1510_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1510_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1510_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1510_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1510}
-{"angle_1_degrees":72.87201,"angle_2_degrees":162.385974,"angles":[{"angle_degrees":72.87201,"arc_sweep_degrees":72.87201,"ray_endpoints":[[200.8269,283.7064],[152.5765,385.1373]],"vertex":[124.47,281.01]},{"angle_degrees":162.385974,"arc_sweep_degrees":162.385974,"ray_endpoints":[[288.1491,361.771],[365.1849,159.8878]],"vertex":[336.53,281.01]}],"canvas_size":[461,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1511","image_path":"images/angle_estimation_1511.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1511_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1511_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1511_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1511_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1511_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1511}
-{"angle_1_degrees":36.974402,"angle_2_degrees":63.603252,"angles":[{"angle_degrees":36.974402,"arc_sweep_degrees":36.974402,"ray_endpoints":[[199.6767,355.942],[140.5122,406.608]],"vertex":[129.6,277.59]},{"angle_degrees":63.603252,"arc_sweep_degrees":63.603252,"ray_endpoints":[[442.7656,255.228],[436.0068,379.5892]],"vertex":[350.4,277.59]}],"canvas_size":[480,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1512","image_path":"images/angle_estimation_1512.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1512_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1512_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1512_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1512_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1512_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1512}
-{"angle_1_degrees":109.316254,"angle_2_degrees":63.947699,"angles":[{"angle_degrees":109.316254,"arc_sweep_degrees":109.316254,"ray_endpoints":[[205.7802,240.5331],[148.8842,388.9087]],"vertex":[130.68,282.15]},{"angle_degrees":63.947699,"arc_sweep_degrees":63.947699,"ray_endpoints":[[436.5237,263.285],[429.6342,376.9737]],"vertex":[353.32,282.15]}],"canvas_size":[484,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1513","image_path":"images/angle_estimation_1513.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1513_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1513_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1513_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1513_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1513_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1513}
-{"angle_1_degrees":97.021429,"angle_2_degrees":57.401099,"angles":[{"angle_degrees":97.021429,"arc_sweep_degrees":97.021429,"ray_endpoints":[[26.605,245.3931],[153.8716,153.9411]],"vertex":[121.5,261.63]},{"angle_degrees":57.401099,"arc_sweep_degrees":57.401099,"ray_endpoints":[[243.4801,191.9565],[342.9663,139.141]],"vertex":[328.5,261.63]}],"canvas_size":[450,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1514","image_path":"images/angle_estimation_1514.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1514_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1514_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1514_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1514_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1514_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1514}
-{"angle_1_degrees":44.395604,"angle_2_degrees":53.275013,"angles":[{"angle_degrees":44.395604,"arc_sweep_degrees":44.395604,"ray_endpoints":[[92.7247,361.876],[13.5079,316.3876]],"vertex":[133.92,267.9]},{"angle_degrees":53.275013,"arc_sweep_degrees":53.275013,"ray_endpoints":[[433.556,313.9088],[371.928,410.3126]],"vertex":[362.08,267.9]}],"canvas_size":[496,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1515","image_path":"images/angle_estimation_1515.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1515_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1515_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1515_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1515_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1515_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1515}
-{"canvas_size":[464,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1516","image_path":"images/angle_estimation_1516.png","interior_angles_degrees":[57.41087,68.067724,54.521406],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1516_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1516_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_1516_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1516_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1516_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1516,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,410.8801],[409.0,410.8801],[272.1949,71.1199]]}
-{"canvas_size":[475,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1517","image_path":"images/angle_estimation_1517.png","interior_angles_degrees":[71.092309,60.833598,48.074094],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1517_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1517_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1517_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1517_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1517_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1517,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[65.9284,446.0],[409.0716,446.0],[196.431,65.0]]}
-{"canvas_size":[462,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1518","image_path":"images/angle_estimation_1518.png","interior_angles_degrees":[49.861109,56.179297,73.959594],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1518_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1518_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1518_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1518_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1518_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1518,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,371.8095],[407.0,371.8095],[251.1534,139.1905]]}
-{"canvas_size":[465,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1519","image_path":"images/angle_estimation_1519.png","interior_angles_degrees":[63.373459,57.026163,59.600377],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1519_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1519_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1519_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1519_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1519_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1519,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,404.3343],[410.0,404.3343],[209.7486,95.6657]]}
-{"canvas_size":[476,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1520","image_path":"images/angle_estimation_1520.png","interior_angles_degrees":[71.451997,55.730127,52.817876],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1520_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1520_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1520_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1520_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1520_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1520,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,426.9568],[421.0,426.9568],[175.7608,67.0432]]}
-{"angle_degrees":109.195911,"arc_sweep_degrees":109.195911,"canvas_size":[450,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1521","image_path":"images/angle_estimation_1521.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1521_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_1521_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1521_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"71","question_id":"angle_estimation_1521_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1521_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[322.7448,152.0658],[282.0258,368.811]],"scene_type":"single","seed":1521,"vertex":[225.0,248.0]}
-{"angle_degrees":209.715416,"arc_sweep_degrees":209.715416,"canvas_size":[488,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1522","image_path":"images/angle_estimation_1522.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1522_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_1522_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1522_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"30","question_id":"angle_estimation_1522_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1522_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[225.2129,386.0769],[334.9333,122.5705]],"scene_type":"single","seed":1522,"vertex":[244.0,242.5]}
-{"angle_degrees":257.57848,"arc_sweep_degrees":257.57848,"canvas_size":[461,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1523","image_path":"images/angle_estimation_1523.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1523_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_1523_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1523_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"78","question_id":"angle_estimation_1523_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1523_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[360.5634,294.1206],[247.2425,94.3235]],"scene_type":"single","seed":1523,"vertex":[230.5,250.5]}
-{"angle_degrees":80.278835,"arc_sweep_degrees":80.278835,"canvas_size":[453,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1524","image_path":"images/angle_estimation_1524.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1524_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1524_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1524_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"100","question_id":"angle_estimation_1524_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1524_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[393.0706,252.5595],[240.1164,351.876]],"scene_type":"single","seed":1524,"vertex":[226.5,245.5]}
-{"angle_degrees":179.999993,"arc_sweep_degrees":179.999993,"canvas_size":[469,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1525","image_path":"images/angle_estimation_1525.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1525_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_1525_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1525_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_1525_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1525_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[380.6045,324.739],[90.9991,184.5216]],"scene_type":"single","seed":1525,"vertex":[234.5,254.0]}
-{"angle_degrees":21.045656,"arc_sweep_degrees":21.045656,"canvas_size":[489,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1526","image_path":"images/angle_estimation_1526.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1526_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_1526_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1526_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"159","question_id":"angle_estimation_1526_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1526_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[394.3809,341.9176],[323.7145,353.3667]],"scene_type":"single","seed":1526,"vertex":[244.5,255.0]}
-{"angle_degrees":126.961806,"arc_sweep_degrees":126.961806,"canvas_size":[489,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1527","image_path":"images/angle_estimation_1527.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1527_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_1527_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1527_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"53","question_id":"angle_estimation_1527_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1527_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[240.1886,116.2449],[374.9005,345.8824]],"scene_type":"single","seed":1527,"vertex":[244.5,254.0]}
-{"angle_degrees":213.826229,"arc_sweep_degrees":213.826229,"canvas_size":[472,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1528","image_path":"images/angle_estimation_1528.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1528_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_1528_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1528_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"34","question_id":"angle_estimation_1528_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1528_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[238.7565,112.6802],[163.0061,356.4023]],"scene_type":"single","seed":1528,"vertex":[236.0,252.0]}
-{"angle_1_degrees":110.399415,"angle_2_degrees":81.357958,"angles":[{"angle_degrees":110.399415,"arc_sweep_degrees":110.399415,"ray_endpoints":[[47.2095,316.5112],[97.8333,147.9942]],"vertex":[127.17,260.49]},{"angle_degrees":81.357958,"arc_sweep_degrees":81.357958,"ray_endpoints":[[393.2474,323.2055],[266.6423,342.9134]],"vertex":[343.83,260.49]}],"canvas_size":[471,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1529","image_path":"images/angle_estimation_1529.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1529_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1529_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1529_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1529_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1529_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1529}
-{"angle_1_degrees":53.170705,"angle_2_degrees":160.541944,"angles":[{"angle_degrees":53.170705,"arc_sweep_degrees":53.170705,"ray_endpoints":[[120.6681,184.484],[210.7288,204.4416]],"vertex":[122.04,273.03]},{"angle_degrees":160.541944,"arc_sweep_degrees":160.541944,"ray_endpoints":[[385.4846,222.5731],[272.0754,380.6253]],"vertex":[329.96,273.03]}],"canvas_size":[452,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1530","image_path":"images/angle_estimation_1530.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1530_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1530_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_1530_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1530_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1530_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1530}
-{"angle_1_degrees":83.251109,"angle_2_degrees":15.264116,"angles":[{"angle_degrees":83.251109,"arc_sweep_degrees":83.251109,"ray_endpoints":[[208.4552,245.0952],[171.2657,386.5363]],"vertex":[133.65,257.64]},{"angle_degrees":15.264116,"arc_sweep_degrees":15.264116,"ray_endpoints":[[435.3824,324.1317],[424.46,355.5394]],"vertex":[361.35,257.64]}],"canvas_size":[495,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1531","image_path":"images/angle_estimation_1531.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1531_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1531_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1531_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1531_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1531_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1531}
-{"angle_1_degrees":158.11617,"angle_2_degrees":28.922082,"angles":[{"angle_degrees":158.11617,"arc_sweep_degrees":158.11617,"ray_endpoints":[[74.4774,346.2471],[145.6982,149.7583]],"vertex":[124.47,266.76]},{"angle_degrees":28.922082,"arc_sweep_degrees":28.922082,"ray_endpoints":[[364.8884,173.4678],[420.7902,184.9063]],"vertex":[336.53,266.76]}],"canvas_size":[461,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1532","image_path":"images/angle_estimation_1532.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1532_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1532_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_1532_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1532_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1532_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1532}
-{"angle_1_degrees":40.804613,"angle_2_degrees":159.340249,"angles":[{"angle_degrees":40.804613,"arc_sweep_degrees":40.804613,"ray_endpoints":[[164.1604,354.172],[92.8651,410.7997]],"vertex":[131.76,281.58]},{"angle_degrees":159.340249,"arc_sweep_degrees":159.340249,"ray_endpoints":[[302.9415,339.553],[398.8452,175.7813]],"vertex":[356.24,281.58]}],"canvas_size":[488,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1533","image_path":"images/angle_estimation_1533.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1533_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1533_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_1533_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1533_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1533_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1533}
-{"angle_1_degrees":28.003482,"angle_2_degrees":65.080136,"angles":[{"angle_degrees":28.003482,"arc_sweep_degrees":28.003482,"ray_endpoints":[[113.2756,367.7337],[61.0513,366.684]],"vertex":[127.44,278.73]},{"angle_degrees":65.080136,"arc_sweep_degrees":65.080136,"ray_endpoints":[[316.6918,177.6667],[440.309,197.4253]],"vertex":[344.56,278.73]}],"canvas_size":[472,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1534","image_path":"images/angle_estimation_1534.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1534_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1534_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1534_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1534_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1534_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1534}
-{"angle_1_degrees":138.851391,"angle_2_degrees":42.481981,"angles":[{"angle_degrees":138.851391,"arc_sweep_degrees":138.851391,"ray_endpoints":[[171.6361,179.3535],[164.0856,405.2156]],"vertex":[126.63,275.88]},{"angle_degrees":42.481981,"arc_sweep_degrees":42.481981,"ray_endpoints":[[435.7276,330.0475],[382.5282,404.0637]],"vertex":[342.37,275.88]}],"canvas_size":[469,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1535","image_path":"images/angle_estimation_1535.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1535_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1535_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1535_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1535_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1535_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1535}
-{"canvas_size":[457,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1536","image_path":"images/angle_estimation_1536.png","interior_angles_degrees":[90.764686,46.583001,42.652313],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1536_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1536_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1536_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1536_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1536_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1536,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[59.8947,434.3621],[402.0,434.3621],[55.0,67.6379]]}
-{"canvas_size":[472,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1537","image_path":"images/angle_estimation_1537.png","interior_angles_degrees":[88.941517,40.2587,50.799783],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1537_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1537_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1537_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1537_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1537_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1537,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,406.9138],[417.0,406.9138],[60.5766,105.0862]]}
-{"canvas_size":[467,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1538","image_path":"images/angle_estimation_1538.png","interior_angles_degrees":[90.124832,40.345803,49.529364],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1538_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1538_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1538_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1538_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1538_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1538,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.6607,416.1245],[412.0,416.1245],[55.0,112.8755]]}
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-{"angle_degrees":316.947219,"arc_sweep_degrees":316.947219,"canvas_size":[462,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1544","image_path":"images/angle_estimation_1544.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1544_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_1544_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1544_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"137","question_id":"angle_estimation_1544_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1544_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[266.6906,89.4995],[171.745,161.0121]],"scene_type":"single","seed":1544,"vertex":[231.0,259.0]}
-{"angle_degrees":45.000031,"arc_sweep_degrees":45.000031,"canvas_size":[462,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1545","image_path":"images/angle_estimation_1545.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1545_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_1545_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1545_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"135","question_id":"angle_estimation_1545_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1545_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[104.4565,287.3101],[137.5759,198.7905]],"scene_type":"single","seed":1545,"vertex":[231.0,247.5]}
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-{"angle_degrees":308.606459,"arc_sweep_degrees":308.606459,"canvas_size":[460,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1548","image_path":"images/angle_estimation_1548.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1548_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_1548_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1548_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"129","question_id":"angle_estimation_1548_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1548_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[112.1586,172.6293],[100.925,293.3974]],"scene_type":"single","seed":1548,"vertex":[230.0,256.5]}
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-{"angle_1_degrees":30.944777,"angle_2_degrees":54.622495,"angles":[{"angle_degrees":30.944777,"arc_sweep_degrees":30.944777,"ray_endpoints":[[170.8483,351.0289],[113.7504,387.2321]],"vertex":[131.76,258.78]},{"angle_degrees":54.622495,"arc_sweep_degrees":54.622495,"ray_endpoints":[[257.7998,211.3167],[332.9142,121.3989]],"vertex":[356.24,258.78]}],"canvas_size":[488,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1550","image_path":"images/angle_estimation_1550.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1550_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1550_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1550_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1550_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1550_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1550}
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-{"angle_1_degrees":10.280547,"angle_2_degrees":119.864855,"angles":[{"angle_degrees":10.280547,"arc_sweep_degrees":10.280547,"ray_endpoints":[[143.6838,174.9782],[165.8618,166.4818]],"vertex":[124.2,270.75]},{"angle_degrees":119.864855,"arc_sweep_degrees":119.864855,"ray_endpoints":[[434.3684,222.5571],[326.3496,412.6757]],"vertex":[335.8,270.75]}],"canvas_size":[460,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1552","image_path":"images/angle_estimation_1552.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1552_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1552_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_1552_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1552_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1552_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1552}
-{"angle_1_degrees":15.396129,"angle_2_degrees":84.592187,"angles":[{"angle_degrees":15.396129,"arc_sweep_degrees":15.396129,"ray_endpoints":[[153.0371,354.2576],[128.1654,389.5974]],"vertex":[132.03,267.33]},{"angle_degrees":84.592187,"arc_sweep_degrees":84.592187,"ray_endpoints":[[442.1911,271.5779],[361.8628,377.0112]],"vertex":[356.97,267.33]}],"canvas_size":[489,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1553","image_path":"images/angle_estimation_1553.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1553_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1553_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1553_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1553_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1553_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1553}
-{"angle_1_degrees":31.322894,"angle_2_degrees":136.134207,"angles":[{"angle_degrees":31.322894,"arc_sweep_degrees":31.322894,"ray_endpoints":[[225.9053,257.1716],[225.2451,315.4754]],"vertex":[128.52,258.78]},{"angle_degrees":136.134207,"arc_sweep_degrees":136.134207,"ray_endpoints":[[426.1257,184.4625],[340.7833,397.9441]],"vertex":[347.48,258.78]}],"canvas_size":[476,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1554","image_path":"images/angle_estimation_1554.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1554_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1554_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1554_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1554_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1554_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1554}
-{"angle_1_degrees":16.707166,"angle_2_degrees":111.797872,"angles":[{"angle_degrees":16.707166,"arc_sweep_degrees":16.707166,"ray_endpoints":[[180.472,344.3328],[172.7507,383.7548]],"vertex":[127.44,283.29]},{"angle_degrees":111.797872,"arc_sweep_degrees":111.797872,"ray_endpoints":[[452.9221,288.2122],[291.8365,399.5255]],"vertex":[344.56,283.29]}],"canvas_size":[472,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1555","image_path":"images/angle_estimation_1555.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1555_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1555_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1555_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1555_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1555_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1555}
-{"canvas_size":[472,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1556","image_path":"images/angle_estimation_1556.png","interior_angles_degrees":[116.410473,30.919046,32.670481],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1556_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1556_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1556_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1556_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1556_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1556,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[162.6778,367.908],[417.0,367.908],[55.0,151.092]]}
-{"canvas_size":[454,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1557","image_path":"images/angle_estimation_1557.png","interior_angles_degrees":[127.434341,23.570888,28.994772],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1557_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1557_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1557_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1557_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1557_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1557,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[169.8888,334.0409],[399.0,334.0409],[55.0,183.9591]]}
-{"canvas_size":[459,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1558","image_path":"images/angle_estimation_1558.png","interior_angles_degrees":[138.433481,22.44918,19.117339],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1558_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1558_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1558_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1558_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1558_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1558,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[217.6054,312.099],[404.0,312.099],[55.0,167.901]]}
-{"canvas_size":[500,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1559","image_path":"images/angle_estimation_1559.png","interior_angles_degrees":[131.244445,18.804578,29.950978],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1559_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1559_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1559_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1559_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1559_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1559,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[171.4411,329.9008],[445.0,329.9008],[55.0,197.0992]]}
-{"canvas_size":[496,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1560","image_path":"images/angle_estimation_1560.png","interior_angles_degrees":[139.311034,17.616423,23.072543],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1560_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1560_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1560_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1560_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1560_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1560,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[197.5542,315.7841],[441.0,315.7841],[55.0,193.2159]]}
-{"angle_degrees":143.54786,"arc_sweep_degrees":143.54786,"canvas_size":[498,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1561","image_path":"images/angle_estimation_1561.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1561_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1561_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1561_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"36","question_id":"angle_estimation_1561_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1561_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[207.031,364.9092],[209.9298,118.5646]],"scene_type":"single","seed":1561,"vertex":[249.0,244.5]}
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-{"angle_degrees":179.999986,"arc_sweep_degrees":179.999986,"canvas_size":[488,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1565","image_path":"images/angle_estimation_1565.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1565_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_1565_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1565_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_1565_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1565_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[235.5467,415.9229],[250.6779,112.6594]],"scene_type":"single","seed":1565,"vertex":[244.0,246.5]}
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-{"angle_degrees":68.385234,"arc_sweep_degrees":68.385234,"canvas_size":[487,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1567","image_path":"images/angle_estimation_1567.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1567_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1567_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1567_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"112","question_id":"angle_estimation_1567_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1567_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[373.7715,242.112],[292.1096,367.7572]],"scene_type":"single","seed":1567,"vertex":[243.5,240.5]}
-{"angle_degrees":64.110609,"arc_sweep_degrees":64.110609,"canvas_size":[479,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1568","image_path":"images/angle_estimation_1568.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1568_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1568_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1568_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"116","question_id":"angle_estimation_1568_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1568_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[274.3198,91.5396],[399.8029,213.0822]],"scene_type":"single","seed":1568,"vertex":[239.5,252.0]}
-{"angle_1_degrees":34.910929,"angle_2_degrees":44.76886,"angles":[{"angle_degrees":34.910929,"arc_sweep_degrees":34.910929,"ray_endpoints":[[88.7294,168.1795],[159.2697,140.1053]],"vertex":[133.65,270.18]},{"angle_degrees":44.76886,"arc_sweep_degrees":44.76886,"ray_endpoints":[[456.4589,268.0984],[453.5439,357.7148]],"vertex":[361.35,270.18]}],"canvas_size":[495,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1569","image_path":"images/angle_estimation_1569.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1569_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1569_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1569_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1569_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1569_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1569}
-{"angle_1_degrees":72.115609,"angle_2_degrees":116.257806,"angles":[{"angle_degrees":72.115609,"arc_sweep_degrees":72.115609,"ray_endpoints":[[40.7243,321.8574],[25.8597,192.3591]],"vertex":[122.58,258.21]},{"angle_degrees":116.257806,"arc_sweep_degrees":116.257806,"ray_endpoints":[[240.5969,197.2377],[428.6447,202.3766]],"vertex":[331.42,258.21]}],"canvas_size":[454,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1570","image_path":"images/angle_estimation_1570.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1570_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1570_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1570_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1570_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1570_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1570}
-{"angle_1_degrees":109.306919,"angle_2_degrees":166.207405,"angles":[{"angle_degrees":109.306919,"arc_sweep_degrees":109.306919,"ray_endpoints":[[205.2521,277.2149],[73.1408,392.3565]],"vertex":[124.47,271.89]},{"angle_degrees":166.207405,"arc_sweep_degrees":166.207405,"ray_endpoints":[[396.6034,366.7181],[254.8039,193.3716]],"vertex":[336.53,271.89]}],"canvas_size":[461,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1571","image_path":"images/angle_estimation_1571.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1571_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1571_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1571_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1571_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1571_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1571}
-{"angle_1_degrees":60.600816,"angle_2_degrees":32.321577,"angles":[{"angle_degrees":60.600816,"arc_sweep_degrees":60.600816,"ray_endpoints":[[28.598,324.7457],[41.3545,210.6343]],"vertex":[132.3,281.01]},{"angle_degrees":32.321577,"arc_sweep_degrees":32.321577,"ray_endpoints":[[382.1092,192.0434],[454.8947,192.4577]],"vertex":[357.7,281.01]}],"canvas_size":[490,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1572","image_path":"images/angle_estimation_1572.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1572_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1572_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1572_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1572_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1572_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1572}
-{"angle_1_degrees":112.934345,"angle_2_degrees":62.166532,"angles":[{"angle_degrees":112.934345,"arc_sweep_degrees":112.934345,"ray_endpoints":[[228.1598,279.449],[75.1434,376.0665]],"vertex":[132.57,270.18]},{"angle_degrees":62.166532,"arc_sweep_degrees":62.166532,"ray_endpoints":[[444.8951,242.5312],[459.2638,369.0407]],"vertex":[358.43,270.18]}],"canvas_size":[491,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1573","image_path":"images/angle_estimation_1573.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1573_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1573_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1573_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1573_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1573_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1573}
-{"angle_1_degrees":135.917032,"angle_2_degrees":122.461353,"angles":[{"angle_degrees":135.917032,"arc_sweep_degrees":135.917032,"ray_endpoints":[[119.1493,351.0826],[41.849,146.54]],"vertex":[129.6,261.06]},{"angle_degrees":122.461353,"arc_sweep_degrees":122.461353,"ray_endpoints":[[433.0275,232.195],[323.9217,373.906]],"vertex":[350.4,261.06]}],"canvas_size":[480,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1574","image_path":"images/angle_estimation_1574.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1574_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1574_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1574_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1574_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1574_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1574}
-{"angle_1_degrees":65.132641,"angle_2_degrees":17.98685,"angles":[{"angle_degrees":65.132641,"arc_sweep_degrees":65.132641,"ray_endpoints":[[64.9524,212.4771],[151.7218,148.1931]],"vertex":[125.28,259.92]},{"angle_degrees":17.98685,"arc_sweep_degrees":17.98685,"ray_endpoints":[[440.9825,250.8657],[441.6677,283.5494]],"vertex":[338.72,259.92]}],"canvas_size":[464,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1575","image_path":"images/angle_estimation_1575.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1575_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1575_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1575_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1575_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1575_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1575}
-{"canvas_size":[494,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1576","image_path":"images/angle_estimation_1576.png","interior_angles_degrees":[60.628653,38.895554,80.475793],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1576_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1576_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1576_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1576_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1576_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1576,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,356.0292],[439.0,356.0292],[174.9119,142.9708]]}
-{"canvas_size":[500,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1577","image_path":"images/angle_estimation_1577.png","interior_angles_degrees":[47.760058,53.457294,78.782648],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1577_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1577_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1577_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1577_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1577_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1577,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,367.2441],[445.0,367.2441],[269.735,130.7559]]}
-{"canvas_size":[478,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1578","image_path":"images/angle_estimation_1578.png","interior_angles_degrees":[62.819488,41.053883,76.126629],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1578_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1578_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1578_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1578_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1578_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1578,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,362.2309],[423.0,362.2309],[168.7207,140.7691]]}
-{"canvas_size":[457,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1579","image_path":"images/angle_estimation_1579.png","interior_angles_degrees":[44.972392,72.85488,62.172728],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1579_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1579_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_1579_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1579_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1579_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1579,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,395.9967],[402.0,395.9967],[320.2489,131.0033]]}
-{"canvas_size":[458,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1580","image_path":"images/angle_estimation_1580.png","interior_angles_degrees":[65.430703,64.264193,50.305104],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1580_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1580_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1580_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1580_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1580_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1580,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[64.6356,415.0],[393.3644,415.0],[224.6513,65.0]]}
-{"angle_degrees":285.479894,"arc_sweep_degrees":285.479894,"canvas_size":[492,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1581","image_path":"images/angle_estimation_1581.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1581_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_1581_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1581_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"105","question_id":"angle_estimation_1581_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1581_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[122.9208,332.8292],[289.65,374.0845]],"scene_type":"single","seed":1581,"vertex":[246.0,248.0]}
-{"angle_degrees":151.550205,"arc_sweep_degrees":151.550205,"canvas_size":[463,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1582","image_path":"images/angle_estimation_1582.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1582_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1582_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1582_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"28","question_id":"angle_estimation_1582_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1582_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[351.3879,128.483],[192.6197,367.8856]],"scene_type":"single","seed":1582,"vertex":[231.5,244.5]}
-{"angle_degrees":288.123827,"arc_sweep_degrees":288.123827,"canvas_size":[477,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1583","image_path":"images/angle_estimation_1583.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1583_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_1583_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1583_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"108","question_id":"angle_estimation_1583_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1583_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[382.706,281.4592],[328.4484,104.7919]],"scene_type":"single","seed":1583,"vertex":[238.5,243.0]}
-{"angle_degrees":252.285313,"arc_sweep_degrees":252.285313,"canvas_size":[471,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1584","image_path":"images/angle_estimation_1584.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1584_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_1584_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1584_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"72","question_id":"angle_estimation_1584_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1584_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[105.7509,232.886],[266.7074,393.5372]],"scene_type":"single","seed":1584,"vertex":[235.5,246.0]}
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-{"angle_degrees":206.992594,"arc_sweep_degrees":206.992594,"canvas_size":[455,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1587","image_path":"images/angle_estimation_1587.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1587_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_1587_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1587_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"27","question_id":"angle_estimation_1587_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1587_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[113.3754,311.0081],[336.7625,234.8913]],"scene_type":"single","seed":1587,"vertex":[227.5,242.5]}
-{"angle_degrees":31.76318,"arc_sweep_degrees":31.76318,"canvas_size":[488,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1588","image_path":"images/angle_estimation_1588.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1588_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_1588_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1588_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"148","question_id":"angle_estimation_1588_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1588_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[307.3318,363.3456],[234.9866,361.4001]],"scene_type":"single","seed":1588,"vertex":[244.0,241.5]}
-{"angle_1_degrees":20.401051,"angle_2_degrees":161.40326,"angles":[{"angle_degrees":20.401051,"arc_sweep_degrees":20.401051,"ray_endpoints":[[183.529,370.9927],[146.4929,382.8909]],"vertex":[122.31,278.16]},{"angle_degrees":161.40326,"arc_sweep_degrees":161.40326,"ray_endpoints":[[331.2238,182.3916],[375.1164,412.6711]],"vertex":[330.69,278.16]}],"canvas_size":[453,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1589","image_path":"images/angle_estimation_1589.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1589_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1589_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_1589_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1589_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1589_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1589}
-{"angle_1_degrees":159.496282,"angle_2_degrees":68.508353,"angles":[{"angle_degrees":159.496282,"arc_sweep_degrees":159.496282,"ray_endpoints":[[187.3848,336.9439],[22.9738,247.113]],"vertex":[122.04,282.15]},{"angle_degrees":68.508353,"arc_sweep_degrees":68.508353,"ray_endpoints":[[241.4837,288.976],[277.1958,173.5024]],"vertex":[329.96,282.15]}],"canvas_size":[452,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1590","image_path":"images/angle_estimation_1590.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1590_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1590_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1590_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1590_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1590_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1590}
-{"angle_1_degrees":54.880169,"angle_2_degrees":44.374112,"angles":[{"angle_degrees":54.880169,"arc_sweep_degrees":54.880169,"ray_endpoints":[[144.6742,385.0304],[32.1051,374.1234]],"vertex":[130.95,282.72]},{"angle_degrees":44.374112,"arc_sweep_degrees":44.374112,"ray_endpoints":[[409.0111,188.3551],[461.2194,253.1845]],"vertex":[354.05,282.72]}],"canvas_size":[485,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1591","image_path":"images/angle_estimation_1591.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1591_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1591_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1591_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1591_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1591_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1591}
-{"angle_1_degrees":109.332819,"angle_2_degrees":82.786994,"angles":[{"angle_degrees":109.332819,"arc_sweep_degrees":109.332819,"ray_endpoints":[[197.7188,172.5119],[197.0642,369.9619]],"vertex":[127.71,263.34]},{"angle_degrees":82.786994,"arc_sweep_degrees":82.786994,"ray_endpoints":[[420.7955,274.2053],[343.2158,385.1325]],"vertex":[345.29,263.34]}],"canvas_size":[473,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1592","image_path":"images/angle_estimation_1592.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1592_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1592_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1592_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1592_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1592_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1592}
-{"angle_1_degrees":35.144215,"angle_2_degrees":87.84587,"angles":[{"angle_degrees":35.144215,"arc_sweep_degrees":35.144215,"ray_endpoints":[[85.5397,194.3326],[132.5269,137.0594]],"vertex":[128.79,259.92]},{"angle_degrees":87.84587,"arc_sweep_degrees":87.84587,"ray_endpoints":[[458.6511,233.0713],[385.1282,390.2306]],"vertex":[348.21,259.92]}],"canvas_size":[477,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1593","image_path":"images/angle_estimation_1593.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1593_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1593_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1593_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1593_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1593_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1593}
-{"angle_1_degrees":61.973998,"angle_2_degrees":38.795378,"angles":[{"angle_degrees":61.973998,"arc_sweep_degrees":61.973998,"ray_endpoints":[[104.5713,160.3883],[209.0437,190.6214]],"vertex":[130.68,262.2]},{"angle_degrees":38.795378,"arc_sweep_degrees":38.795378,"ray_endpoints":[[302.4561,195.7136],[356.5193,129.2416]],"vertex":[353.32,262.2]}],"canvas_size":[484,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1594","image_path":"images/angle_estimation_1594.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1594_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1594_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1594_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1594_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1594_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1594}
-{"angle_1_degrees":112.869364,"angle_2_degrees":79.32644,"angles":[{"angle_degrees":112.869364,"arc_sweep_degrees":112.869364,"ray_endpoints":[[204.1107,318.2456],[30.8089,310.068]],"vertex":[125.55,257.07]},{"angle_degrees":79.32644,"arc_sweep_degrees":79.32644,"ray_endpoints":[[418.3945,248.918],[380.5799,395.3092]],"vertex":[339.45,257.07]}],"canvas_size":[465,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1595","image_path":"images/angle_estimation_1595.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1595_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1595_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1595_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1595_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1595_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1595}
-{"canvas_size":[457,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1596","image_path":"images/angle_estimation_1596.png","interior_angles_degrees":[89.761787,33.070909,57.167304],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1596_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1596_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1596_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1596_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1596_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1596,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,360.6727],[402.0,360.6727],[55.9369,135.3273]]}
-{"canvas_size":[500,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1597","image_path":"images/angle_estimation_1597.png","interior_angles_degrees":[90.768114,37.542592,51.689294],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1597_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1597_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1597_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1597_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1597_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1597,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[59.0183,405.8592],[445.0,405.8592],[55.0,106.1408]]}
-{"canvas_size":[480,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1598","image_path":"images/angle_estimation_1598.png","interior_angles_degrees":[89.714823,44.607941,45.677235],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1598_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1598_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1598_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1598_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1598_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1598,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,435.0938],[425.0,435.0938],[56.8077,71.9062]]}
-{"canvas_size":[484,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1599","image_path":"images/angle_estimation_1599.png","interior_angles_degrees":[90.721124,34.625349,54.653527],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1599_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1599_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1599_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1599_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1599_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1599,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[58.2505,384.1248],[429.0,384.1248],[55.0,125.8752]]}
-{"canvas_size":[450,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1600","image_path":"images/angle_estimation_1600.png","interior_angles_degrees":[90.505964,44.157465,45.336571],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1600_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1600_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1600_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1600_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1600_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1600,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[57.9155,416.0724],[395.0,416.0724],[55.0,85.9276]]}
-{"angle_degrees":291.57294,"arc_sweep_degrees":291.57294,"canvas_size":[475,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1601","image_path":"images/angle_estimation_1601.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1601_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_1601_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1601_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"112","question_id":"angle_estimation_1601_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1601_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[321.1912,110.6833],[146.2453,135.1965]],"scene_type":"single","seed":1601,"vertex":[237.5,252.5]}
-{"angle_degrees":172.221819,"arc_sweep_degrees":172.221819,"canvas_size":[467,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1602","image_path":"images/angle_estimation_1602.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1602_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1602_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1602_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"8","question_id":"angle_estimation_1602_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1602_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[126.9295,160.4916],[343.5673,312.9684]],"scene_type":"single","seed":1602,"vertex":[233.5,246.5]}
-{"angle_degrees":234.94061,"arc_sweep_degrees":234.94061,"canvas_size":[483,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1603","image_path":"images/angle_estimation_1603.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1603_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_1603_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1603_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"55","question_id":"angle_estimation_1603_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1603_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[199.2935,99.4296],[149.7146,355.7348]],"scene_type":"single","seed":1603,"vertex":[241.5,238.5]}
-{"angle_degrees":166.825391,"arc_sweep_degrees":166.825391,"canvas_size":[451,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1604","image_path":"images/angle_estimation_1604.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1604_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1604_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1604_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"13","question_id":"angle_estimation_1604_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1604_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[96.8322,202.1562],[348.1361,257.1839]],"scene_type":"single","seed":1604,"vertex":[225.5,245.5]}
-{"angle_degrees":90.000018,"arc_sweep_degrees":90.000018,"canvas_size":[458,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1605","image_path":"images/angle_estimation_1605.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"right","question_id":"angle_estimation_1605_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_1605_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"approximately equal to","question_id":"angle_estimation_1605_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"90","question_id":"angle_estimation_1605_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1605_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[256.3554,396.8399],[118.5385,258.705]],"scene_type":"single","seed":1605,"vertex":[229.0,239.5]}
-{"angle_degrees":159.340317,"arc_sweep_degrees":159.340317,"canvas_size":[483,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1606","image_path":"images/angle_estimation_1606.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1606_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1606_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1606_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"21","question_id":"angle_estimation_1606_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1606_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[78.352,243.8244],[353.0053,219.7162]],"scene_type":"single","seed":1606,"vertex":[241.5,254.0]}
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-{"angle_degrees":134.763476,"arc_sweep_degrees":134.763476,"canvas_size":[461,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1608","image_path":"images/angle_estimation_1608.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1608_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1608_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1608_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"45","question_id":"angle_estimation_1608_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1608_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[353.1963,330.4118],[123.5774,282.6606]],"scene_type":"single","seed":1608,"vertex":[230.5,256.0]}
-{"angle_1_degrees":96.433206,"angle_2_degrees":137.251587,"angles":[{"angle_degrees":96.433206,"arc_sweep_degrees":96.433206,"ray_endpoints":[[29.9504,281.6332],[144.643,140.3]],"vertex":[128.79,281.58]},{"angle_degrees":137.251587,"arc_sweep_degrees":137.251587,"ray_endpoints":[[395.4612,219.8668],[361.0878,420.1709]],"vertex":[348.21,281.58]}],"canvas_size":[477,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1609","image_path":"images/angle_estimation_1609.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1609_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1609_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1609_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1609_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1609_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1609}
-{"angle_1_degrees":65.810927,"angle_2_degrees":29.094265,"angles":[{"angle_degrees":65.810927,"arc_sweep_degrees":65.810927,"ray_endpoints":[[48.5712,273.9663],[82.5197,160.5719]],"vertex":[126.36,279.3]},{"angle_degrees":29.094265,"arc_sweep_degrees":29.094265,"ray_endpoints":[[278.8818,206.4115],[316.4584,157.0012]],"vertex":[341.64,279.3]}],"canvas_size":[468,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1610","image_path":"images/angle_estimation_1610.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1610_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1610_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1610_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1610_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1610_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1610}
-{"angle_1_degrees":141.40481,"angle_2_degrees":26.81431,"angles":[{"angle_degrees":141.40481,"arc_sweep_degrees":141.40481,"ray_endpoints":[[192.3984,184.5378],[133.6591,413.2983]],"vertex":[126.36,277.02]},{"angle_degrees":26.81431,"arc_sweep_degrees":26.81431,"ray_endpoints":[[342.5688,373.2223],[277.9191,406.1698]],"vertex":[341.64,277.02]}],"canvas_size":[468,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1611","image_path":"images/angle_estimation_1611.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1611_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1611_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_1611_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1611_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1611_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1611}
-{"angle_1_degrees":92.076392,"angle_2_degrees":32.686289,"angles":[{"angle_degrees":92.076392,"arc_sweep_degrees":92.076392,"ray_endpoints":[[174.2056,215.4313],[214.6908,358.2386]],"vertex":[123.93,273.03]},{"angle_degrees":32.686289,"arc_sweep_degrees":32.686289,"ray_endpoints":[[283.7272,210.622],[319.7026,143.3408]],"vertex":[335.07,273.03]}],"canvas_size":[459,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1612","image_path":"images/angle_estimation_1612.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1612_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1612_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1612_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1612_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1612_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1612}
-{"angle_1_degrees":20.345276,"angle_2_degrees":70.294949,"angles":[{"angle_degrees":20.345276,"arc_sweep_degrees":20.345276,"ray_endpoints":[[125.3903,184.3092],[163.9927,178.2302]],"vertex":[127.17,283.29]},{"angle_degrees":70.294949,"arc_sweep_degrees":70.294949,"ray_endpoints":[[431.9615,278.8254],[386.2146,385.087]],"vertex":[343.83,283.29]}],"canvas_size":[471,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1613","image_path":"images/angle_estimation_1613.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1613_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1613_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1613_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1613_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1613_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1613}
-{"angle_1_degrees":49.429831,"angle_2_degrees":123.782911,"angles":[{"angle_degrees":49.429831,"arc_sweep_degrees":49.429831,"ray_endpoints":[[124.9008,345.087],[27.7014,344.4669]],"vertex":[124.74,261.06]},{"angle_degrees":123.782911,"arc_sweep_degrees":123.782911,"ray_endpoints":[[415.422,236.8262],[305.2886,368.6001]],"vertex":[337.26,261.06]}],"canvas_size":[462,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1614","image_path":"images/angle_estimation_1614.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1614_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1614_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1614_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1614_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1614_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1614}
-{"angle_1_degrees":128.36553,"angle_2_degrees":92.308155,"angles":[{"angle_degrees":128.36553,"arc_sweep_degrees":128.36553,"ray_endpoints":[[177.376,210.2046],[156.652,381.7336]],"vertex":[127.44,279.87]},{"angle_degrees":92.308155,"arc_sweep_degrees":92.308155,"ray_endpoints":[[266.4001,347.0658],[266.4004,181.1801]],"vertex":[344.56,279.87]}],"canvas_size":[472,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1615","image_path":"images/angle_estimation_1615.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1615_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1615_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1615_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1615_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1615_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1615}
-{"canvas_size":[486,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1616","image_path":"images/angle_estimation_1616.png","interior_angles_degrees":[122.015354,25.033375,32.951271],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1616_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1616_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1616_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1616_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1616_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1616,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[164.7915,339.2992],[431.0,339.2992],[55.0,163.7008]]}
-{"canvas_size":[481,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1617","image_path":"images/angle_estimation_1617.png","interior_angles_degrees":[137.68547,16.360646,25.953884],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1617_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1617_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1617_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1617_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1617_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1617,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[174.6344,315.9572],[426.0,315.9572],[55.0,207.0428]]}
-{"canvas_size":[494,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1618","image_path":"images/angle_estimation_1618.png","interior_angles_degrees":[136.650368,20.11423,23.235402],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1618_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1618_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1618_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1618_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1618_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1618,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[203.9765,312.8161],[439.0,312.8161],[55.0,172.1839]]}
-{"canvas_size":[453,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1619","image_path":"images/angle_estimation_1619.png","interior_angles_degrees":[122.976003,27.759389,29.264608],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1619_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1619_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1619_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1619_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1619_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1619,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[172.1319,336.7664],[398.0,336.7664],[55.0,156.2336]]}
-{"canvas_size":[455,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1620","image_path":"images/angle_estimation_1620.png","interior_angles_degrees":[117.803661,30.186452,32.009887],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1620_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1620_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1620_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1620_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1620_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1620,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[160.8259,347.3428],[400.0,347.3428],[55.0,146.6572]]}
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-{"angle_degrees":127.223063,"arc_sweep_degrees":127.223063,"canvas_size":[478,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1622","image_path":"images/angle_estimation_1622.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1622_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_1622_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1622_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"53","question_id":"angle_estimation_1622_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1622_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[335.3223,342.1131],[125.7236,269.6896]],"scene_type":"single","seed":1622,"vertex":[239.0,251.0]}
-{"angle_degrees":298.031729,"arc_sweep_degrees":298.031729,"canvas_size":[494,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1623","image_path":"images/angle_estimation_1623.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1623_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_1623_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1623_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"118","question_id":"angle_estimation_1623_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1623_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[287.3618,102.367],[137.4428,134.2212]],"scene_type":"single","seed":1623,"vertex":[247.0,241.0]}
-{"angle_degrees":76.919701,"arc_sweep_degrees":76.919701,"canvas_size":[465,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1624","image_path":"images/angle_estimation_1624.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1624_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1624_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1624_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"103","question_id":"angle_estimation_1624_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1624_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[238.7703,387.1701],[102.2746,273.0444]],"scene_type":"single","seed":1624,"vertex":[232.5,237.0]}
-{"angle_degrees":119.999984,"arc_sweep_degrees":119.999984,"canvas_size":[470,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1625","image_path":"images/angle_estimation_1625.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1625_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_1625_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1625_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"60","question_id":"angle_estimation_1625_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1625_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[98.8781,282.1917],[266.3137,125.7953]],"scene_type":"single","seed":1625,"vertex":[235.0,245.0]}
-{"angle_degrees":54.654561,"arc_sweep_degrees":54.654561,"canvas_size":[470,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1626","image_path":"images/angle_estimation_1626.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1626_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1626_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1626_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"125","question_id":"angle_estimation_1626_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1626_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[377.2356,172.9085],[343.135,301.3156]],"scene_type":"single","seed":1626,"vertex":[235.0,242.0]}
-{"angle_degrees":213.421725,"arc_sweep_degrees":213.421725,"canvas_size":[472,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1627","image_path":"images/angle_estimation_1627.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1627_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_1627_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1627_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"33","question_id":"angle_estimation_1627_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1627_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[269.1196,115.4059],[131.439,346.0016]],"scene_type":"single","seed":1627,"vertex":[236.0,249.5]}
-{"angle_degrees":284.786954,"arc_sweep_degrees":284.786954,"canvas_size":[456,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1628","image_path":"images/angle_estimation_1628.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1628_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_1628_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1628_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"105","question_id":"angle_estimation_1628_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1628_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[221.1875,392.7198],[354.6462,295.7455]],"scene_type":"single","seed":1628,"vertex":[228.0,255.5]}
-{"angle_1_degrees":25.692085,"angle_2_degrees":66.170728,"angles":[{"angle_degrees":25.692085,"arc_sweep_degrees":25.692085,"ray_endpoints":[[207.9513,356.0499],[171.1293,403.989]],"vertex":[132.03,272.46]},{"angle_degrees":66.170728,"arc_sweep_degrees":66.170728,"ray_endpoints":[[267.5718,275.8248],[296.2842,147.9517]],"vertex":[356.97,272.46]}],"canvas_size":[489,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1629","image_path":"images/angle_estimation_1629.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1629_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1629_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1629_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1629_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1629_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1629}
-{"angle_1_degrees":126.258071,"angle_2_degrees":65.315368,"angles":[{"angle_degrees":126.258071,"arc_sweep_degrees":126.258071,"ray_endpoints":[[23.4896,303.2646],[152.105,157.4813]],"vertex":[122.31,265.62]},{"angle_degrees":65.315368,"arc_sweep_degrees":65.315368,"ray_endpoints":[[283.6777,205.3733],[388.2183,154.3963]],"vertex":[330.69,265.62]}],"canvas_size":[453,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1630","image_path":"images/angle_estimation_1630.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1630_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1630_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1630_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1630_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1630_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1630}
-{"angle_1_degrees":99.244426,"angle_2_degrees":115.722666,"angles":[{"angle_degrees":99.244426,"arc_sweep_degrees":99.244426,"ray_endpoints":[[193.4558,297.4252],[62.3595,368.8339]],"vertex":[122.31,269.04]},{"angle_degrees":115.722666,"arc_sweep_degrees":115.722666,"ray_endpoints":[[405.1189,200.2321],[370.107,397.7258]],"vertex":[330.69,269.04]}],"canvas_size":[453,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1631","image_path":"images/angle_estimation_1631.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1631_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1631_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1631_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1631_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1631_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1631}
-{"angle_1_degrees":12.765113,"angle_2_degrees":77.459699,"angles":[{"angle_degrees":12.765113,"arc_sweep_degrees":12.765113,"ray_endpoints":[[145.2604,361.2415],[127.4795,409.4177]],"vertex":[124.74,278.73]},{"angle_degrees":77.459699,"arc_sweep_degrees":77.459699,"ray_endpoints":[[442.5791,268.3519],[370.1708,379.0173]],"vertex":[337.26,278.73]}],"canvas_size":[462,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1632","image_path":"images/angle_estimation_1632.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1632_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1632_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1632_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1632_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1632_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1632}
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-{"angle_1_degrees":76.78499,"angle_2_degrees":130.106837,"angles":[{"angle_degrees":76.78499,"arc_sweep_degrees":76.78499,"ray_endpoints":[[159.8259,363.9928],[14.0398,321.0464]],"vertex":[134.46,259.92]},{"angle_degrees":130.106837,"arc_sweep_degrees":130.106837,"ray_endpoints":[[387.9978,187.338],[431.444,371.7299]],"vertex":[363.54,259.92]}],"canvas_size":[498,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1634","image_path":"images/angle_estimation_1634.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1634_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1634_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1634_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1634_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1634_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1634}
-{"angle_1_degrees":88.24821,"angle_2_degrees":13.400111,"angles":[{"angle_degrees":88.24821,"arc_sweep_degrees":88.24821,"ray_endpoints":[[201.1466,287.5667],[86.285,399.3132]],"vertex":[122.58,263.91]},{"angle_degrees":13.400111,"arc_sweep_degrees":13.400111,"ray_endpoints":[[415.4354,336.7388],[399.4092,358.5985]],"vertex":[331.42,263.91]}],"canvas_size":[454,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1635","image_path":"images/angle_estimation_1635.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1635_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1635_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1635_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1635_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1635_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1635}
-{"canvas_size":[458,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1636","image_path":"images/angle_estimation_1636.png","interior_angles_degrees":[58.923522,43.085853,77.990625],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1636_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1636_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1636_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1636_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1636_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1636,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,359.0775],[403.0,359.0775],[180.4506,150.9225]]}
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-{"canvas_size":[454,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1639","image_path":"images/angle_estimation_1639.png","interior_angles_degrees":[42.663519,54.565707,82.770774],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1639_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1639_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1639_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1639_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1639_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1639,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,357.7343],[399.0,357.7343],[262.7578,166.2657]]}
-{"canvas_size":[500,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1640","image_path":"images/angle_estimation_1640.png","interior_angles_degrees":[59.394452,67.147748,53.4578],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1640_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1640_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_1640_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1640_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1640_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1640,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[56.5239,447.0],[443.4761,447.0],[282.488,65.0]]}
-{"angle_degrees":140.861866,"arc_sweep_degrees":140.861866,"canvas_size":[500,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1641","image_path":"images/angle_estimation_1641.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1641_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1641_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1641_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"39","question_id":"angle_estimation_1641_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1641_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[246.8586,85.1958],[335.1266,349.0906]],"scene_type":"single","seed":1641,"vertex":[250.0,248.5]}
-{"angle_degrees":157.575865,"arc_sweep_degrees":157.575865,"canvas_size":[496,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1642","image_path":"images/angle_estimation_1642.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1642_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1642_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1642_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"22","question_id":"angle_estimation_1642_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1642_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[81.9426,278.0043],[378.2065,167.6181]],"scene_type":"single","seed":1642,"vertex":[248.0,249.5]}
-{"angle_degrees":321.581386,"arc_sweep_degrees":321.581386,"canvas_size":[470,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1643","image_path":"images/angle_estimation_1643.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1643_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_1643_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1643_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"142","question_id":"angle_estimation_1643_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1643_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[349.7005,315.3733],[384.9378,226.3502]],"scene_type":"single","seed":1643,"vertex":[235.0,260.0]}
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-{"angle_degrees":102.457965,"arc_sweep_degrees":102.457965,"canvas_size":[478,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1647","image_path":"images/angle_estimation_1647.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1647_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_1647_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1647_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"78","question_id":"angle_estimation_1647_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1647_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[358.6299,298.5306],[152.6633,379.8884]],"scene_type":"single","seed":1647,"vertex":[239.0,251.5]}
-{"angle_degrees":169.735416,"arc_sweep_degrees":169.735416,"canvas_size":[450,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1648","image_path":"images/angle_estimation_1648.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1648_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1648_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1648_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"10","question_id":"angle_estimation_1648_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1648_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[337.1538,363.5681],[104.1658,185.8774]],"scene_type":"single","seed":1648,"vertex":[225.0,261.5]}
-{"angle_1_degrees":52.619119,"angle_2_degrees":115.873493,"angles":[{"angle_degrees":52.619119,"arc_sweep_degrees":52.619119,"ray_endpoints":[[59.0292,201.8802],[147.1598,137.4492]],"vertex":[132.03,271.89]},{"angle_degrees":115.873493,"arc_sweep_degrees":115.873493,"ray_endpoints":[[289.2283,202.9616],[456.9649,238.1816]],"vertex":[356.97,271.89]}],"canvas_size":[489,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1649","image_path":"images/angle_estimation_1649.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1649_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1649_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1649_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1649_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1649_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1649}
-{"angle_1_degrees":65.656673,"angle_2_degrees":153.459226,"angles":[{"angle_degrees":65.656673,"arc_sweep_degrees":65.656673,"ray_endpoints":[[25.7339,247.959],[83.624,122.4329]],"vertex":[129.6,258.21]},{"angle_degrees":153.459226,"arc_sweep_degrees":153.459226,"ray_endpoints":[[307.3846,343.5212],[350.9194,121.2386]],"vertex":[350.4,258.21]}],"canvas_size":[480,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1650","image_path":"images/angle_estimation_1650.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1650_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1650_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1650_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1650_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1650_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1650}
-{"angle_1_degrees":32.216526,"angle_2_degrees":49.632762,"angles":[{"angle_degrees":32.216526,"arc_sweep_degrees":32.216526,"ray_endpoints":[[170.2297,355.2283],[124.5838,401.5544]],"vertex":[121.5,282.15]},{"angle_degrees":49.632762,"arc_sweep_degrees":49.632762,"ray_endpoints":[[249.6804,257.6372],[278.5184,164.9222]],"vertex":[328.5,282.15]}],"canvas_size":[450,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1651","image_path":"images/angle_estimation_1651.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1651_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1651_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1651_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1651_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1651_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1651}
-{"angle_1_degrees":46.455098,"angle_2_degrees":130.88235,"angles":[{"angle_degrees":46.455098,"arc_sweep_degrees":46.455098,"ray_endpoints":[[55.506,202.9198],[132.2418,157.7218]],"vertex":[127.44,277.02]},{"angle_degrees":130.88235,"arc_sweep_degrees":130.88235,"ray_endpoints":[[272.6551,254.5836],[440.7186,217.4265]],"vertex":[344.56,277.02]}],"canvas_size":[472,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1652","image_path":"images/angle_estimation_1652.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1652_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1652_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1652_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1652_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1652_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1652}
-{"angle_1_degrees":91.45252,"angle_2_degrees":38.833334,"angles":[{"angle_degrees":91.45252,"arc_sweep_degrees":91.45252,"ray_endpoints":[[30.3583,325.4927],[53.097,158.4067]],"vertex":[122.31,258.21]},{"angle_degrees":38.833334,"arc_sweep_degrees":38.833334,"ray_endpoints":[[278.7267,179.4883],[341.8974,139.7581]],"vertex":[330.69,258.21]}],"canvas_size":[453,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1653","image_path":"images/angle_estimation_1653.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1653_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1653_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1653_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1653_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1653_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1653}
-{"angle_1_degrees":36.23802,"angle_2_degrees":63.726086,"angles":[{"angle_degrees":36.23802,"arc_sweep_degrees":36.23802,"ray_endpoints":[[141.3798,160.4686],[212.2847,171.9675]],"vertex":[125.55,257.07]},{"angle_degrees":63.726086,"arc_sweep_degrees":63.726086,"ray_endpoints":[[400.1203,354.1997],[265.9452,375.9179]],"vertex":[339.45,257.07]}],"canvas_size":[465,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1654","image_path":"images/angle_estimation_1654.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1654_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1654_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1654_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1654_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1654_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1654}
-{"angle_1_degrees":99.006722,"angle_2_degrees":73.646849,"angles":[{"angle_degrees":99.006722,"arc_sweep_degrees":99.006722,"ray_endpoints":[[30.4706,297.3282],[102.5223,124.965]],"vertex":[130.14,259.92]},{"angle_degrees":73.646849,"arc_sweep_degrees":73.646849,"ray_endpoints":[[439.04,318.0671],[309.0871,396.8334]],"vertex":[351.86,259.92]}],"canvas_size":[482,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1655","image_path":"images/angle_estimation_1655.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1655_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1655_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1655_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1655_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1655_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1655}
-{"canvas_size":[496,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1656","image_path":"images/angle_estimation_1656.png","interior_angles_degrees":[90.051354,33.959021,55.989625],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1656_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1656_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1656_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1656_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1656_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1656,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.233,385.4794],[441.0,385.4794],[55.0,125.5206]]}
-{"canvas_size":[495,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1657","image_path":"images/angle_estimation_1657.png","interior_angles_degrees":[89.140789,41.978089,48.881122],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1657_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1657_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1657_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1657_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1657_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1657,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,425.3887],[440.0,425.3887],[60.1257,83.6113]]}
-{"canvas_size":[495,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1658","image_path":"images/angle_estimation_1658.png","interior_angles_degrees":[89.684687,30.560152,59.755162],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1658_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1658_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1658_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1658_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1658_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1658,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,367.2954],[440.0,367.2954],[56.247,140.7046]]}
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-{"canvas_size":[498,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1660","image_path":"images/angle_estimation_1660.png","interior_angles_degrees":[90.29198,35.781867,53.926153],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1660_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1660_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1660_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1660_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1660_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1660,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.4251,383.3239],[443.0,383.3239],[55.0,103.6761]]}
-{"angle_degrees":257.464104,"arc_sweep_degrees":257.464104,"canvas_size":[480,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1661","image_path":"images/angle_estimation_1661.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1661_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_1661_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1661_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"77","question_id":"angle_estimation_1661_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1661_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[350.9271,148.6281],[145.8512,203.5351]],"scene_type":"single","seed":1661,"vertex":[240.0,262.0]}
-{"angle_degrees":201.75523,"arc_sweep_degrees":201.75523,"canvas_size":[494,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1662","image_path":"images/angle_estimation_1662.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1662_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_1662_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1662_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"22","question_id":"angle_estimation_1662_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1662_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[101.2645,323.1369],[367.242,233.0718]],"scene_type":"single","seed":1662,"vertex":[247.0,246.0]}
-{"angle_degrees":34.318444,"arc_sweep_degrees":34.318444,"canvas_size":[491,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1663","image_path":"images/angle_estimation_1663.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1663_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_1663_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1663_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"146","question_id":"angle_estimation_1663_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1663_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[335.942,384.6044],[240.6764,365.7502]],"scene_type":"single","seed":1663,"vertex":[245.5,240.5]}
-{"angle_degrees":260.78606,"arc_sweep_degrees":260.78606,"canvas_size":[497,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1664","image_path":"images/angle_estimation_1664.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1664_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_1664_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1664_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"81","question_id":"angle_estimation_1664_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1664_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[335.3284,158.6322],[120.7887,161.7795]],"scene_type":"single","seed":1664,"vertex":[248.5,249.5]}
-{"angle_degrees":29.999989,"arc_sweep_degrees":29.999989,"canvas_size":[484,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1665","image_path":"images/angle_estimation_1665.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1665_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_1665_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1665_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_1665_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1665_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[399.7768,276.4372],[336.0387,327.5829]],"scene_type":"single","seed":1665,"vertex":[242.0,251.0]}
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-{"angle_degrees":142.566966,"arc_sweep_degrees":142.566966,"canvas_size":[481,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1667","image_path":"images/angle_estimation_1667.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1667_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1667_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1667_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"37","question_id":"angle_estimation_1667_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1667_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[146.3841,128.1216],[376.0449,279.7011]],"scene_type":"single","seed":1667,"vertex":[240.5,246.0]}
-{"angle_degrees":201.879387,"arc_sweep_degrees":201.879387,"canvas_size":[487,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1668","image_path":"images/angle_estimation_1668.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1668_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_1668_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1668_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"22","question_id":"angle_estimation_1668_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1668_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[417.3728,259.3749],[112.8233,211.8002]],"scene_type":"single","seed":1668,"vertex":[243.5,262.0]}
-{"angle_1_degrees":119.159738,"angle_2_degrees":169.221703,"angles":[{"angle_degrees":119.159738,"arc_sweep_degrees":119.159738,"ray_endpoints":[[215.678,328.2914],[30.0079,336.0954]],"vertex":[125.28,277.59]},{"angle_degrees":169.221703,"arc_sweep_degrees":169.221703,"ray_endpoints":[[384.0661,373.3],[267.6482,180.2307]],"vertex":[338.72,277.59]}],"canvas_size":[464,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1669","image_path":"images/angle_estimation_1669.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1669_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1669_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1669_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1669_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1669_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1669}
-{"angle_1_degrees":28.709169,"angle_2_degrees":50.954041,"angles":[{"angle_degrees":28.709169,"arc_sweep_degrees":28.709169,"ray_endpoints":[[74.2427,226.7865],[81.4659,156.7789]],"vertex":[135.0,271.32]},{"angle_degrees":50.954041,"arc_sweep_degrees":50.954041,"ray_endpoints":[[411.9324,333.0368],[331.0534,410.5434]],"vertex":[365.0,271.32]}],"canvas_size":[500,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1670","image_path":"images/angle_estimation_1670.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1670_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1670_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1670_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1670_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1670_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1670}
-{"angle_1_degrees":117.457915,"angle_2_degrees":71.901838,"angles":[{"angle_degrees":117.457915,"arc_sweep_degrees":117.457915,"ray_endpoints":[[29.5825,251.0781],[203.5104,159.4445]],"vertex":[126.36,265.62]},{"angle_degrees":71.901838,"arc_sweep_degrees":71.901838,"ray_endpoints":[[431.3672,215.92],[442.0207,358.9639]],"vertex":[341.64,265.62]}],"canvas_size":[468,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1671","image_path":"images/angle_estimation_1671.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1671_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1671_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1671_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1671_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1671_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1671}
-{"angle_1_degrees":42.961688,"angle_2_degrees":95.057886,"angles":[{"angle_degrees":42.961688,"arc_sweep_degrees":42.961688,"ray_endpoints":[[198.8733,300.9836],[174.4759,384.5992]],"vertex":[130.68,266.76]},{"angle_degrees":95.057886,"arc_sweep_degrees":95.057886,"ray_endpoints":[[261.2642,312.964],[300.7253,133.8856]],"vertex":[353.32,266.76]}],"canvas_size":[484,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1672","image_path":"images/angle_estimation_1672.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1672_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1672_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1672_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1672_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1672_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1672}
-{"angle_1_degrees":33.751116,"angle_2_degrees":50.186683,"angles":[{"angle_degrees":33.751116,"arc_sweep_degrees":33.751116,"ray_endpoints":[[62.8315,179.4439],[116.2661,137.2938]],"vertex":[126.63,259.35]},{"angle_degrees":50.186683,"arc_sweep_degrees":50.186683,"ray_endpoints":[[327.9228,185.0598],[426.0487,156.683]],"vertex":[342.37,259.35]}],"canvas_size":[469,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1673","image_path":"images/angle_estimation_1673.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1673_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1673_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1673_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1673_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1673_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1673}
-{"angle_1_degrees":112.963577,"angle_2_degrees":69.731013,"angles":[{"angle_degrees":112.963577,"arc_sweep_degrees":112.963577,"ray_endpoints":[[35.1357,323.923],[102.6288,138.9073]],"vertex":[127.44,260.49]},{"angle_degrees":69.731013,"arc_sweep_degrees":69.731013,"ray_endpoints":[[418.3219,240.4312],[422.7267,370.1481]],"vertex":[344.56,260.49]}],"canvas_size":[472,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1674","image_path":"images/angle_estimation_1674.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1674_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1674_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1674_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1674_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1674_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1674}
-{"angle_1_degrees":27.760555,"angle_2_degrees":10.108832,"angles":[{"angle_degrees":27.760555,"arc_sweep_degrees":27.760555,"ray_endpoints":[[138.0277,164.9167],[189.7261,178.105]],"vertex":[125.82,271.89]},{"angle_degrees":10.108832,"arc_sweep_degrees":10.108832,"ray_endpoints":[[297.2688,350.2643],[270.851,358.0863]],"vertex":[340.18,271.89]}],"canvas_size":[466,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1675","image_path":"images/angle_estimation_1675.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1675_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1675_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1675_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1675_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1675_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1675}
-{"canvas_size":[451,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1676","image_path":"images/angle_estimation_1676.png","interior_angles_degrees":[136.062998,20.235366,23.701637],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1676_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1676_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1676_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1676_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1676_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1676,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[185.4556,304.3513],[396.0,304.3513],[55.0,178.6487]]}
-{"canvas_size":[494,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1677","image_path":"images/angle_estimation_1677.png","interior_angles_degrees":[121.992546,28.322702,29.684752],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1677_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1677_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1677_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1677_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1677_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1677,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[184.2849,362.9795],[439.0,362.9795],[55.0,156.0205]]}
-{"canvas_size":[466,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1678","image_path":"images/angle_estimation_1678.png","interior_angles_degrees":[100.446895,44.734704,34.818401],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1678_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1678_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1678_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1678_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1678_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1678,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[120.0344,433.8592],[411.0,433.8592],[55.0,81.1408]]}
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-{"angle_degrees":115.169206,"arc_sweep_degrees":115.169206,"canvas_size":[480,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1684","image_path":"images/angle_estimation_1684.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1684_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_1684_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1684_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"65","question_id":"angle_estimation_1684_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1684_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[134.2951,134.2767],[370.3212,187.8847]],"scene_type":"single","seed":1684,"vertex":[240.0,237.0]}
-{"angle_degrees":179.999998,"arc_sweep_degrees":179.999998,"canvas_size":[485,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1685","image_path":"images/angle_estimation_1685.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1685_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_1685_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1685_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_1685_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1685_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[101.8351,144.7603],[345.7602,312.5153]],"scene_type":"single","seed":1685,"vertex":[242.5,241.5]}
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-{"angle_degrees":59.215501,"arc_sweep_degrees":59.215501,"canvas_size":[496,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1688","image_path":"images/angle_estimation_1688.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1688_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1688_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1688_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"121","question_id":"angle_estimation_1688_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1688_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[409.69,287.8412],[286.9305,378.4151]],"scene_type":"single","seed":1688,"vertex":[248.0,246.5]}
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-{"angle_1_degrees":81.74827,"angle_2_degrees":107.456681,"angles":[{"angle_degrees":81.74827,"arc_sweep_degrees":81.74827,"ray_endpoints":[[65.0637,226.5619],[187.9867,168.8344]],"vertex":[122.58,274.74]},{"angle_degrees":107.456681,"arc_sweep_degrees":107.456681,"ray_endpoints":[[437.1193,256.6896],[312.2588,415.2458]],"vertex":[331.42,274.74]}],"canvas_size":[454,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1690","image_path":"images/angle_estimation_1690.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1690_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1690_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1690_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1690_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1690_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1690}
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-{"angle_1_degrees":28.687447,"angle_2_degrees":56.188812,"angles":[{"angle_degrees":28.687447,"arc_sweep_degrees":28.687447,"ray_endpoints":[[190.416,333.7097],[153.4461,377.5404]],"vertex":[135.0,262.2]},{"angle_degrees":56.188812,"arc_sweep_degrees":56.188812,"ray_endpoints":[[321.9305,187.6485],[412.6431,165.2618]],"vertex":[365.0,262.2]}],"canvas_size":[500,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1692","image_path":"images/angle_estimation_1692.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1692_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1692_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1692_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1692_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1692_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1692}
-{"angle_1_degrees":47.997426,"angle_2_degrees":125.59317,"angles":[{"angle_degrees":47.997426,"arc_sweep_degrees":47.997426,"ray_endpoints":[[41.9068,210.175],[107.0549,143.2688]],"vertex":[133.92,261.63]},{"angle_degrees":125.59317,"arc_sweep_degrees":125.59317,"ray_endpoints":[[313.2708,203.0108],[483.5736,252.731]],"vertex":[362.08,261.63]}],"canvas_size":[496,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1693","image_path":"images/angle_estimation_1693.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1693_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1693_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1693_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1693_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1693_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1693}
-{"angle_1_degrees":141.259428,"angle_2_degrees":67.491565,"angles":[{"angle_degrees":141.259428,"arc_sweep_degrees":141.259428,"ray_endpoints":[[56.9847,289.5953],[185.6089,158.5043]],"vertex":[132.3,257.64]},{"angle_degrees":67.491565,"arc_sweep_degrees":67.491565,"ray_endpoints":[[287.5007,203.9189],[393.213,124.3329]],"vertex":[357.7,257.64]}],"canvas_size":[490,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1694","image_path":"images/angle_estimation_1694.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1694_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1694_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1694_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1694_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1694_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1694}
-{"angle_1_degrees":33.366746,"angle_2_degrees":56.737537,"angles":[{"angle_degrees":33.366746,"arc_sweep_degrees":33.366746,"ray_endpoints":[[23.1201,308.088],[19.5212,247.2331]],"vertex":[122.85,278.16]},{"angle_degrees":56.737537,"arc_sweep_degrees":56.737537,"ray_endpoints":[[330.3134,174.7282],[435.8981,207.4416]],"vertex":[332.15,278.16]}],"canvas_size":[455,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1695","image_path":"images/angle_estimation_1695.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1695_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1695_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1695_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1695_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1695_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1695}
-{"canvas_size":[451,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1696","image_path":"images/angle_estimation_1696.png","interior_angles_degrees":[48.638371,70.005652,61.355977],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1696_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1696_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_1696_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1696_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1696_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1696,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,398.5262],[396.0,398.5262],[296.2837,124.4738]]}
-{"canvas_size":[495,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1697","image_path":"images/angle_estimation_1697.png","interior_angles_degrees":[60.543273,34.718008,84.73872],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1697_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1697_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1697_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1697_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1697_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1697,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,347.367],[440.0,347.367],[163.2868,155.633]]}
-{"canvas_size":[476,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1698","image_path":"images/angle_estimation_1698.png","interior_angles_degrees":[69.50596,29.344236,81.149804],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1698_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1698_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1698_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1698_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1698_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1698,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,330.0164],[421.0,330.0164],[118.5525,159.9836]]}
-{"canvas_size":[469,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1699","image_path":"images/angle_estimation_1699.png","interior_angles_degrees":[68.528446,64.773387,46.698166],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1699_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1699_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1699_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1699_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1699_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1699,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[72.4121,440.0],[396.5879,440.0],[219.9135,65.0]]}
-{"canvas_size":[477,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1700","image_path":"images/angle_estimation_1700.png","interior_angles_degrees":[63.89158,32.902328,83.206092],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1700_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1700_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1700_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1700_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1700_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1700,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,334.6408],[422.0,334.6408],[143.3519,154.3592]]}
-{"angle_degrees":168.266833,"arc_sweep_degrees":168.266833,"canvas_size":[481,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1701","image_path":"images/angle_estimation_1701.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1701_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1701_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1701_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"12","question_id":"angle_estimation_1701_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1701_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[384.9429,304.1944],[122.2365,229.8886]],"scene_type":"single","seed":1701,"vertex":[240.5,249.0]}
-{"angle_degrees":106.39407,"arc_sweep_degrees":106.39407,"canvas_size":[476,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1702","image_path":"images/angle_estimation_1702.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1702_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_1702_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1702_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"74","question_id":"angle_estimation_1702_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1702_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[131.6845,378.7465],[174.8256,154.5575]],"scene_type":"single","seed":1702,"vertex":[238.0,243.0]}
-{"angle_degrees":298.700566,"arc_sweep_degrees":298.700566,"canvas_size":[483,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1703","image_path":"images/angle_estimation_1703.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1703_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_1703_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1703_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"119","question_id":"angle_estimation_1703_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1703_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[408.1727,262.5667],[305.4884,151.653]],"scene_type":"single","seed":1703,"vertex":[241.5,249.5]}
-{"angle_degrees":45.845935,"arc_sweep_degrees":45.845935,"canvas_size":[483,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1704","image_path":"images/angle_estimation_1704.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1704_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_1704_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1704_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"134","question_id":"angle_estimation_1704_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1704_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[93.6743,349.738],[103.6495,223.5714]],"scene_type":"single","seed":1704,"vertex":[241.5,258.0]}
-{"angle_degrees":29.999979,"arc_sweep_degrees":29.999979,"canvas_size":[497,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1705","image_path":"images/angle_estimation_1705.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1705_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_1705_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1705_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_1705_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1705_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[376.6581,148.7198],[381.2533,232.7533]],"scene_type":"single","seed":1705,"vertex":[248.5,256.0]}
-{"angle_degrees":170.613604,"arc_sweep_degrees":170.613604,"canvas_size":[478,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1706","image_path":"images/angle_estimation_1706.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1706_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1706_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1706_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"9","question_id":"angle_estimation_1706_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1706_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[232.0667,130.451],[265.7249,375.4547]],"scene_type":"single","seed":1706,"vertex":[239.0,255.5]}
-{"angle_degrees":50.54148,"arc_sweep_degrees":50.54148,"canvas_size":[461,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1707","image_path":"images/angle_estimation_1707.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1707_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_1707_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1707_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"129","question_id":"angle_estimation_1707_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1707_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[340.8051,321.4662],[256.1172,398.3305]],"scene_type":"single","seed":1707,"vertex":[230.5,260.5]}
-{"angle_degrees":159.559391,"arc_sweep_degrees":159.559391,"canvas_size":[470,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1708","image_path":"images/angle_estimation_1708.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1708_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1708_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1708_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"20","question_id":"angle_estimation_1708_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1708_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[388.0112,206.3721],[145.0625,298.9377]],"scene_type":"single","seed":1708,"vertex":[235.0,240.5]}
-{"angle_1_degrees":150.983665,"angle_2_degrees":37.668329,"angles":[{"angle_degrees":150.983665,"arc_sweep_degrees":150.983665,"ray_endpoints":[[139.6139,344.3416],[56.3021,146.1425]],"vertex":[132.03,258.21]},{"angle_degrees":37.668329,"arc_sweep_degrees":37.668329,"ray_endpoints":[[409.2648,333.956],[351.0171,370.0335]],"vertex":[356.97,258.21]}],"canvas_size":[489,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1709","image_path":"images/angle_estimation_1709.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1709_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1709_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_1709_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1709_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1709_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1709}
-{"angle_1_degrees":19.397652,"angle_2_degrees":115.2802,"angles":[{"angle_degrees":19.397652,"arc_sweep_degrees":19.397652,"ray_endpoints":[[66.1433,205.517],[88.4713,175.28]],"vertex":[127.98,278.16]},{"angle_degrees":115.2802,"arc_sweep_degrees":115.2802,"ray_endpoints":[[446.7044,225.7604],[350.9185,404.8754]],"vertex":[346.02,278.16]}],"canvas_size":[474,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1710","image_path":"images/angle_estimation_1710.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1710_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1710_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1710_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1710_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1710_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1710}
-{"angle_1_degrees":57.686523,"angle_2_degrees":21.920233,"angles":[{"angle_degrees":57.686523,"arc_sweep_degrees":57.686523,"ray_endpoints":[[45.9142,314.4517],[17.2396,197.0219]],"vertex":[134.73,274.17]},{"angle_degrees":21.920233,"arc_sweep_degrees":21.920233,"ray_endpoints":[[428.647,181.0883],[474.6089,201.3836]],"vertex":[364.27,274.17]}],"canvas_size":[499,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1711","image_path":"images/angle_estimation_1711.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1711_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1711_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1711_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1711_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1711_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1711}
-{"angle_1_degrees":82.915415,"angle_2_degrees":107.767224,"angles":[{"angle_degrees":82.915415,"arc_sweep_degrees":82.915415,"ray_endpoints":[[220.6682,205.5055],[235.1686,373.401]],"vertex":[133.92,275.31]},{"angle_degrees":107.767224,"arc_sweep_degrees":107.767224,"ray_endpoints":[[437.7633,223.7551],[400.7757,405.9849]],"vertex":[362.08,275.31]}],"canvas_size":[496,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1712","image_path":"images/angle_estimation_1712.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1712_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1712_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1712_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1712_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1712_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1712}
-{"angle_1_degrees":77.656691,"angle_2_degrees":154.833808,"angles":[{"angle_degrees":77.656691,"arc_sweep_degrees":77.656691,"ray_endpoints":[[49.0525,279.3464],[90.7402,144.3424]],"vertex":[133.65,269.61]},{"angle_degrees":154.833808,"arc_sweep_degrees":154.833808,"ray_endpoints":[[400.7467,339.6704],[266.6651,202.1126]],"vertex":[361.35,269.61]}],"canvas_size":[495,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1713","image_path":"images/angle_estimation_1713.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1713_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1713_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1713_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1713_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1713_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1713}
-{"angle_1_degrees":64.538859,"angle_2_degrees":22.245905,"angles":[{"angle_degrees":64.538859,"arc_sweep_degrees":64.538859,"ray_endpoints":[[55.0153,290.0213],[44.8344,185.8663]],"vertex":[128.52,257.07]},{"angle_degrees":22.245905,"arc_sweep_degrees":22.245905,"ray_endpoints":[[416.1643,308.2684],[417.0453,372.6055]],"vertex":[347.48,257.07]}],"canvas_size":[476,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1714","image_path":"images/angle_estimation_1714.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1714_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1714_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1714_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1714_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1714_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1714}
-{"angle_1_degrees":113.57313,"angle_2_degrees":68.665836,"angles":[{"angle_degrees":113.57313,"arc_sweep_degrees":113.57313,"ray_endpoints":[[214.9527,271.2769],[83.2724,398.3624]],"vertex":[130.14,275.31]},{"angle_degrees":68.665836,"arc_sweep_degrees":68.665836,"ray_endpoints":[[454.8194,311.8326],[356.2994,416.3283]],"vertex":[351.86,275.31]}],"canvas_size":[482,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1715","image_path":"images/angle_estimation_1715.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1715_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1715_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1715_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1715_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1715_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1715}
-{"canvas_size":[450,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1716","image_path":"images/angle_estimation_1716.png","interior_angles_degrees":[90.838188,43.79671,45.365102],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1716_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1716_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1716_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1716_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1716_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1716,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[59.7696,426.0054],[395.0,426.0054],[55.0,99.9946]]}
-{"canvas_size":[499,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1717","image_path":"images/angle_estimation_1717.png","interior_angles_degrees":[90.964222,34.668133,54.367645],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1717_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1717_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1717_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1717_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1717_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1717,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[59.528,380.0182],[444.0,380.0182],[55.0,110.9818]]}
-{"canvas_size":[476,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1718","image_path":"images/angle_estimation_1718.png","interior_angles_degrees":[89.040623,43.766865,47.192512],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1718_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1718_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1718_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1718_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1718_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1718,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,437.5204],[421.0,437.5204],[60.778,92.4796]]}
-{"canvas_size":[482,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1719","image_path":"images/angle_estimation_1719.png","interior_angles_degrees":[90.83121,35.635396,53.533394],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1719_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1719_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1719_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1719_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1719_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1719,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[58.869,385.8368],[427.0,385.8368],[55.0,119.1632]]}
-{"canvas_size":[469,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1720","image_path":"images/angle_estimation_1720.png","interior_angles_degrees":[90.267221,44.287226,45.445553],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1720_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1720_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1720_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1720_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1720_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1720,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.6332,429.5886],[414.0,429.5886],[55.0,79.4114]]}
-{"angle_degrees":304.326422,"arc_sweep_degrees":304.326422,"canvas_size":[458,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1721","image_path":"images/angle_estimation_1721.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1721_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_1721_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1721_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"124","question_id":"angle_estimation_1721_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1721_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[320.6045,378.3639],[370.8862,246.8223]],"scene_type":"single","seed":1721,"vertex":[229.0,249.5]}
-{"angle_degrees":197.788001,"arc_sweep_degrees":197.788001,"canvas_size":[480,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1722","image_path":"images/angle_estimation_1722.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1722_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_1722_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1722_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"18","question_id":"angle_estimation_1722_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1722_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[280.9735,80.2639],[176.1567,354.1007]],"scene_type":"single","seed":1722,"vertex":[240.0,249.5]}
-{"angle_degrees":81.693917,"arc_sweep_degrees":81.693917,"canvas_size":[467,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1723","image_path":"images/angle_estimation_1723.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1723_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1723_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1723_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"98","question_id":"angle_estimation_1723_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1723_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[171.9202,146.2336],[331.6842,186.7304]],"scene_type":"single","seed":1723,"vertex":[233.5,260.0]}
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-{"angle_degrees":247.656498,"arc_sweep_degrees":247.656498,"canvas_size":[493,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1727","image_path":"images/angle_estimation_1727.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1727_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_1727_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1727_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"68","question_id":"angle_estimation_1727_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1727_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[378.9612,236.2639],[197.099,125.5308]],"scene_type":"single","seed":1727,"vertex":[246.5,239.0]}
-{"angle_degrees":162.514756,"arc_sweep_degrees":162.514756,"canvas_size":[474,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1728","image_path":"images/angle_estimation_1728.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1728_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1728_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1728_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"17","question_id":"angle_estimation_1728_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1728_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[258.9394,97.1256],[261.1749,397.1489]],"scene_type":"single","seed":1728,"vertex":[237.0,238.5]}
-{"angle_1_degrees":116.757458,"angle_2_degrees":39.203027,"angles":[{"angle_degrees":116.757458,"arc_sweep_degrees":116.757458,"ray_endpoints":[[190.7687,193.394],[175.5397,369.1726]],"vertex":[132.57,257.64]},{"angle_degrees":39.203027,"arc_sweep_degrees":39.203027,"ray_endpoints":[[404.8084,326.8422],[345.4915,395.1926]],"vertex":[358.43,257.64]}],"canvas_size":[491,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1729","image_path":"images/angle_estimation_1729.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1729_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1729_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1729_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1729_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1729_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1729}
-{"angle_1_degrees":58.06496,"angle_2_degrees":44.728355,"angles":[{"angle_degrees":58.06496,"arc_sweep_degrees":58.06496,"ray_endpoints":[[48.7852,253.5655],[76.41,143.6045]],"vertex":[124.74,267.9]},{"angle_degrees":44.728355,"arc_sweep_degrees":44.728355,"ray_endpoints":[[259.9418,254.6572],[262.006,162.6021]],"vertex":[337.26,267.9]}],"canvas_size":[462,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1730","image_path":"images/angle_estimation_1730.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1730_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1730_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1730_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1730_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1730_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1730}
-{"angle_1_degrees":101.977013,"angle_2_degrees":73.35219,"angles":[{"angle_degrees":101.977013,"arc_sweep_degrees":101.977013,"ray_endpoints":[[56.4054,341.793],[48.1011,148.4285]],"vertex":[129.6,260.49]},{"angle_degrees":73.35219,"arc_sweep_degrees":73.35219,"ray_endpoints":[[425.1978,332.9095],[301.4227,354.8693]],"vertex":[350.4,260.49]}],"canvas_size":[480,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1731","image_path":"images/angle_estimation_1731.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1731_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1731_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1731_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1731_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1731_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1731}
-{"angle_1_degrees":95.524008,"angle_2_degrees":62.577058,"angles":[{"angle_degrees":95.524008,"arc_sweep_degrees":95.524008,"ray_endpoints":[[26.9826,289.6747],[98.0177,118.4439]],"vertex":[125.55,260.49]},{"angle_degrees":62.577058,"arc_sweep_degrees":62.577058,"ray_endpoints":[[280.6534,205.3113],[374.682,135.6413]],"vertex":[339.45,260.49]}],"canvas_size":[465,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1732","image_path":"images/angle_estimation_1732.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1732_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1732_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1732_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1732_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1732_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1732}
-{"angle_1_degrees":61.368747,"angle_2_degrees":19.823252,"angles":[{"angle_degrees":61.368747,"arc_sweep_degrees":61.368747,"ray_endpoints":[[215.7205,255.4797],[194.5989,357.5303]],"vertex":[123.66,275.31]},{"angle_degrees":19.823252,"arc_sweep_degrees":19.823252,"ray_endpoints":[[418.5114,304.7897],[432.118,354.8436]],"vertex":[334.34,275.31]}],"canvas_size":[458,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1733","image_path":"images/angle_estimation_1733.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1733_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1733_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1733_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1733_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1733_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1733}
-{"angle_1_degrees":152.441399,"angle_2_degrees":35.978335,"angles":[{"angle_degrees":152.441399,"arc_sweep_degrees":152.441399,"ray_endpoints":[[131.0561,168.7462],[171.5208,382.28]],"vertex":[123.39,270.18]},{"angle_degrees":35.978335,"arc_sweep_degrees":35.978335,"ray_endpoints":[[385.9675,325.182],[350.8971,399.5577]],"vertex":[333.61,270.18]}],"canvas_size":[457,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1734","image_path":"images/angle_estimation_1734.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1734_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1734_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_1734_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1734_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1734_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1734}
-{"angle_1_degrees":73.627681,"angle_2_degrees":162.216471,"angles":[{"angle_degrees":73.627681,"arc_sweep_degrees":73.627681,"ray_endpoints":[[60.0871,315.8347],[54.9981,203.0298]],"vertex":[128.79,280.44]},{"angle_degrees":162.216471,"arc_sweep_degrees":162.216471,"ray_endpoints":[[314.068,175.8075],[420.5421,380.5274]],"vertex":[348.21,280.44]}],"canvas_size":[477,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1735","image_path":"images/angle_estimation_1735.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1735_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1735_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1735_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1735_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1735_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1735}
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-{"canvas_size":[460,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1737","image_path":"images/angle_estimation_1737.png","interior_angles_degrees":[115.581903,28.200972,36.217124],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1737_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1737_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1737_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1737_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1737_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1737,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[144.8464,355.338],[405.0,355.338],[55.0,167.662]]}
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-{"angle_degrees":73.064916,"arc_sweep_degrees":73.064916,"canvas_size":[495,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1741","image_path":"images/angle_estimation_1741.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1741_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1741_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1741_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"107","question_id":"angle_estimation_1741_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1741_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[224.1719,412.5287],[134.8175,277.2037]],"scene_type":"single","seed":1741,"vertex":[247.5,261.0]}
-{"angle_degrees":296.024634,"arc_sweep_degrees":296.024634,"canvas_size":[452,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1742","image_path":"images/angle_estimation_1742.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1742_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_1742_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1742_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"116","question_id":"angle_estimation_1742_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1742_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[85.7798,246.7042],[172.9267,351.033]],"scene_type":"single","seed":1742,"vertex":[226.0,252.0]}
-{"angle_degrees":345.600933,"arc_sweep_degrees":345.600933,"canvas_size":[492,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1743","image_path":"images/angle_estimation_1743.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1743_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_1743_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1743_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"166","question_id":"angle_estimation_1743_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1743_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[342.4706,329.7793],[365.046,305.0322]],"scene_type":"single","seed":1743,"vertex":[246.0,242.0]}
-{"angle_degrees":218.963909,"arc_sweep_degrees":218.963909,"canvas_size":[469,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1744","image_path":"images/angle_estimation_1744.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1744_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_1744_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1744_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"39","question_id":"angle_estimation_1744_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1744_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[180.4248,392.4582],[354.6258,181.3214]],"scene_type":"single","seed":1744,"vertex":[234.5,251.0]}
-{"angle_degrees":179.999988,"arc_sweep_degrees":179.999988,"canvas_size":[469,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1745","image_path":"images/angle_estimation_1745.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1745_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_1745_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1745_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_1745_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1745_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[177.4408,120.5965],[283.3477,357.9966]],"scene_type":"single","seed":1745,"vertex":[234.5,248.5]}
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-{"angle_1_degrees":11.672788,"angle_2_degrees":85.553455,"angles":[{"angle_degrees":11.672788,"arc_sweep_degrees":11.672788,"ray_endpoints":[[139.9102,359.182],[115.6209,392.5632]],"vertex":[134.73,265.05]},{"angle_degrees":85.553455,"arc_sweep_degrees":85.553455,"ray_endpoints":[[282.1148,202.98],[433.7955,156.4416]],"vertex":[364.27,265.05]}],"canvas_size":[499,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1749","image_path":"images/angle_estimation_1749.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1749_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1749_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1749_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1749_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1749_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1749}
-{"angle_1_degrees":18.894582,"angle_2_degrees":151.217416,"angles":[{"angle_degrees":18.894582,"arc_sweep_degrees":18.894582,"ray_endpoints":[[58.1825,212.9463],[49.8209,147.7264]],"vertex":[127.71,267.33]},{"angle_degrees":151.217416,"arc_sweep_degrees":151.217416,"ray_endpoints":[[283.2221,329.1719],[384.7664,132.5227]],"vertex":[345.29,267.33]}],"canvas_size":[473,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1750","image_path":"images/angle_estimation_1750.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1750_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1750_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_1750_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1750_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1750_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1750}
-{"angle_1_degrees":37.396259,"angle_2_degrees":107.652825,"angles":[{"angle_degrees":37.396259,"arc_sweep_degrees":37.396259,"ray_endpoints":[[181.7677,365.4411],[108.9126,402.6087]],"vertex":[121.5,269.04]},{"angle_degrees":107.652825,"arc_sweep_degrees":107.652825,"ray_endpoints":[[248.0685,327.8304],[286.58,143.8389]],"vertex":[328.5,269.04]}],"canvas_size":[450,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1751","image_path":"images/angle_estimation_1751.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1751_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1751_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1751_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1751_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1751_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1751}
-{"angle_1_degrees":74.058552,"angle_2_degrees":11.673527,"angles":[{"angle_degrees":74.058552,"arc_sweep_degrees":74.058552,"ray_endpoints":[[32.7439,324.8816],[26.3345,180.6162]],"vertex":[125.01,257.64]},{"angle_degrees":11.673527,"arc_sweep_degrees":11.673527,"ray_endpoints":[[403.5125,182.9113],[448.6686,173.989]],"vertex":[337.99,257.64]}],"canvas_size":[463,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1752","image_path":"images/angle_estimation_1752.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1752_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1752_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1752_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1752_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1752_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1752}
-{"angle_1_degrees":67.555922,"angle_2_degrees":121.743768,"angles":[{"angle_degrees":67.555922,"arc_sweep_degrees":67.555922,"ray_endpoints":[[76.8083,189.8335],[209.83,169.2462]],"vertex":[122.31,275.31]},{"angle_degrees":121.743768,"arc_sweep_degrees":121.743768,"ray_endpoints":[[249.1941,246.739],[432.5026,193.0505]],"vertex":[330.69,275.31]}],"canvas_size":[453,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1753","image_path":"images/angle_estimation_1753.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1753_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1753_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1753_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1753_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1753_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1753}
-{"angle_1_degrees":34.438071,"angle_2_degrees":83.247794,"angles":[{"angle_degrees":34.438071,"arc_sweep_degrees":34.438071,"ray_endpoints":[[51.6976,301.9589],[13.9682,244.0861]],"vertex":[124.74,281.01]},{"angle_degrees":83.247794,"arc_sweep_degrees":83.247794,"ray_endpoints":[[420.2043,330.8406],[284.3699,398.4542]],"vertex":[337.26,281.01]}],"canvas_size":[462,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1754","image_path":"images/angle_estimation_1754.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1754_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1754_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1754_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1754_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1754_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1754}
-{"angle_1_degrees":20.081304,"angle_2_degrees":74.644266,"angles":[{"angle_degrees":20.081304,"arc_sweep_degrees":20.081304,"ray_endpoints":[[144.4009,173.1808],[193.49,148.4042]],"vertex":[134.46,269.61]},{"angle_degrees":74.644266,"arc_sweep_degrees":74.644266,"ray_endpoints":[[405.0384,189.1437],[473.0249,292.733]],"vertex":[363.54,269.61]}],"canvas_size":[498,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1755","image_path":"images/angle_estimation_1755.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1755_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1755_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1755_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1755_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1755_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1755}
-{"canvas_size":[498,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1756","image_path":"images/angle_estimation_1756.png","interior_angles_degrees":[63.922746,38.117865,77.959389],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1756_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1756_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1756_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1756_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1756_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1756,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,358.9816],[443.0,358.9816],[162.6506,139.0184]]}
-{"canvas_size":[493,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1757","image_path":"images/angle_estimation_1757.png","interior_angles_degrees":[68.902741,32.412546,78.684713],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1757_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1757_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1757_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1757_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1757_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1757,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,359.1643],[438.0,359.1643],[130.3603,163.8357]]}
-{"canvas_size":[459,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1758","image_path":"images/angle_estimation_1758.png","interior_angles_degrees":[56.436264,46.189798,77.373939],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1758_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1758_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1758_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1758_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1758_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1758,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,356.0306],[404.0,356.0306],[197.6902,140.9694]]}
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-{"angle_degrees":128.901926,"arc_sweep_degrees":128.901926,"canvas_size":[462,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1764","image_path":"images/angle_estimation_1764.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1764_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1764_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1764_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"51","question_id":"angle_estimation_1764_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1764_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[294.1942,401.3549],[123.2507,205.3729]],"scene_type":"single","seed":1764,"vertex":[231.0,239.5]}
-{"angle_degrees":44.999991,"arc_sweep_degrees":44.999991,"canvas_size":[463,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1765","image_path":"images/angle_estimation_1765.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1765_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_1765_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1765_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"135","question_id":"angle_estimation_1765_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1765_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[272.9959,389.2086],[168.2916,383.8577]],"scene_type":"single","seed":1765,"vertex":[231.5,260.5]}
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-{"angle_degrees":349.185369,"arc_sweep_degrees":349.185369,"canvas_size":[454,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1768","image_path":"images/angle_estimation_1768.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1768_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_1768_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1768_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"169","question_id":"angle_estimation_1768_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1768_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[356.9388,325.5232],[373.9557,301.5597]],"scene_type":"single","seed":1768,"vertex":[227.0,249.0]}
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-{"angle_1_degrees":104.51689,"angle_2_degrees":158.895515,"angles":[{"angle_degrees":104.51689,"arc_sweep_degrees":104.51689,"ray_endpoints":[[71.1122,371.4845],[35.705,183.901]],"vertex":[127.17,271.89]},{"angle_degrees":158.895515,"arc_sweep_degrees":158.895515,"ray_endpoints":[[298.7632,177.4412],[433.0995,356.2699]],"vertex":[343.83,271.89]}],"canvas_size":[471,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1770","image_path":"images/angle_estimation_1770.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1770_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1770_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1770_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1770_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1770_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1770}
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-{"angle_1_degrees":17.885402,"angle_2_degrees":28.62361,"angles":[{"angle_degrees":17.885402,"arc_sweep_degrees":17.885402,"ray_endpoints":[[161.5335,185.1316],[218.6221,158.8692]],"vertex":[128.52,263.91]},{"angle_degrees":28.62361,"arc_sweep_degrees":28.62361,"ray_endpoints":[[370.9908,162.0064],[437.5412,162.5263]],"vertex":[347.48,263.91]}],"canvas_size":[476,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1773","image_path":"images/angle_estimation_1773.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1773_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1773_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1773_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1773_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1773_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1773}
-{"angle_1_degrees":72.988599,"angle_2_degrees":29.089711,"angles":[{"angle_degrees":72.988599,"arc_sweep_degrees":72.988599,"ray_endpoints":[[31.4382,283.4666],[75.7533,143.9129]],"vertex":[127.17,276.45]},{"angle_degrees":29.089711,"arc_sweep_degrees":29.089711,"ray_endpoints":[[357.2446,370.354],[294.0011,406.5317]],"vertex":[343.83,276.45]}],"canvas_size":[471,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1774","image_path":"images/angle_estimation_1774.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1774_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1774_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1774_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1774_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1774_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1774}
-{"angle_1_degrees":145.813015,"angle_2_degrees":41.964717,"angles":[{"angle_degrees":145.813015,"arc_sweep_degrees":145.813015,"ray_endpoints":[[123.9901,159.2311],[205.3605,364.6611]],"vertex":[127.98,259.92]},{"angle_degrees":41.964717,"arc_sweep_degrees":41.964717,"ray_endpoints":[[368.6433,344.4647],[297.047,356.1016]],"vertex":[346.02,259.92]}],"canvas_size":[474,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1775","image_path":"images/angle_estimation_1775.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1775_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1775_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1775_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1775_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1775_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1775}
-{"canvas_size":[489,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1776","image_path":"images/angle_estimation_1776.png","interior_angles_degrees":[90.941958,42.904467,46.153575],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1776_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1776_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1776_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1776_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1776_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1776,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[60.7915,434.6218],[434.0,434.6218],[55.0,82.3782]]}
-{"canvas_size":[487,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1777","image_path":"images/angle_estimation_1777.png","interior_angles_degrees":[90.572303,43.231209,46.196488],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1777_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1777_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1777_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1777_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1777_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1777,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[58.5402,428.7066],[432.0,428.7066],[55.0,74.2934]]}
-{"canvas_size":[453,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1778","image_path":"images/angle_estimation_1778.png","interior_angles_degrees":[90.708366,25.5311,63.760535],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1778_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1778_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1778_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1778_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1778_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1778,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[57.0256,325.9156],[398.0,325.9156],[55.0,162.0844]]}
-{"canvas_size":[482,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1779","image_path":"images/angle_estimation_1779.png","interior_angles_degrees":[89.011752,38.874681,52.113567],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1779_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1779_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1779_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1779_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1779_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1779,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,396.3908],[427.0,396.3908],[60.1022,100.6092]]}
-{"canvas_size":[483,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1780","image_path":"images/angle_estimation_1780.png","interior_angles_degrees":[89.921441,40.298781,49.779778],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1780_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1780_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1780_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1780_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1780_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1780,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,397.973],[428.0,397.973],[55.4332,82.027]]}
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-{"angle_degrees":20.276463,"arc_sweep_degrees":20.276463,"canvas_size":[465,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1788","image_path":"images/angle_estimation_1788.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1788_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_1788_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1788_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"160","question_id":"angle_estimation_1788_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1788_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[315.5319,386.0149],[262.0685,401.9766]],"scene_type":"single","seed":1788,"vertex":[232.5,249.0]}
-{"angle_1_degrees":28.865857,"angle_2_degrees":89.55476,"angles":[{"angle_degrees":28.865857,"arc_sweep_degrees":28.865857,"ray_endpoints":[[75.3319,225.5636],[93.5067,151.2208]],"vertex":[134.19,282.15]},{"angle_degrees":89.55476,"arc_sweep_degrees":89.55476,"ray_endpoints":[[307.4836,228.9851],[455.8555,183.8032]],"vertex":[362.81,282.15]}],"canvas_size":[497,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1789","image_path":"images/angle_estimation_1789.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1789_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1789_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1789_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1789_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1789_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1789}
-{"angle_1_degrees":39.841102,"angle_2_degrees":58.229295,"angles":[{"angle_degrees":39.841102,"arc_sweep_degrees":39.841102,"ray_endpoints":[[174.661,348.5551],[112.5804,420.1293]],"vertex":[124.2,277.02]},{"angle_degrees":58.229295,"arc_sweep_degrees":58.229295,"ray_endpoints":[[406.2232,244.9423],[439.8588,346.5238]],"vertex":[335.8,277.02]}],"canvas_size":[460,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1790","image_path":"images/angle_estimation_1790.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1790_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1790_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1790_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1790_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1790_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1790}
-{"angle_1_degrees":57.534409,"angle_2_degrees":117.17166,"angles":[{"angle_degrees":57.534409,"arc_sweep_degrees":57.534409,"ray_endpoints":[[136.9511,354.1572],[41.5698,347.7927]],"vertex":[127.44,277.02]},{"angle_degrees":117.17166,"arc_sweep_degrees":117.17166,"ray_endpoints":[[279.8638,205.6285],[451.7275,248.281]],"vertex":[344.56,277.02]}],"canvas_size":[472,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1791","image_path":"images/angle_estimation_1791.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1791_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1791_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1791_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1791_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1791_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1791}
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-{"angle_1_degrees":54.673927,"angle_2_degrees":41.899762,"angles":[{"angle_degrees":54.673927,"arc_sweep_degrees":54.673927,"ray_endpoints":[[200.9757,291.5505],[166.6117,378.644]],"vertex":[121.77,274.74]},{"angle_degrees":41.899762,"arc_sweep_degrees":41.899762,"ray_endpoints":[[378.8873,344.5018],[313.8085,411.0224]],"vertex":[329.23,274.74]}],"canvas_size":[451,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1793","image_path":"images/angle_estimation_1793.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1793_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1793_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1793_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1793_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1793_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1793}
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-{"angle_1_degrees":36.850434,"angle_2_degrees":100.582123,"angles":[{"angle_degrees":36.850434,"arc_sweep_degrees":36.850434,"ray_endpoints":[[123.2255,177.6759],[205.1049,150.8213]],"vertex":[123.12,259.92]},{"angle_degrees":100.582123,"arc_sweep_degrees":100.582123,"ray_endpoints":[[424.8485,205.976],[380.883,393.169]],"vertex":[332.88,259.92]}],"canvas_size":[456,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1795","image_path":"images/angle_estimation_1795.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1795_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1795_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1795_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1795_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1795_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1795}
-{"canvas_size":[480,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1796","image_path":"images/angle_estimation_1796.png","interior_angles_degrees":[137.07444,17.561453,25.364107],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1796_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1796_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1796_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1796_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1796_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1796,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[180.8987,299.0485],[425.0,299.0485],[55.0,181.9515]]}
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-{"canvas_size":[473,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1800","image_path":"images/angle_estimation_1800.png","interior_angles_degrees":[111.797822,37.512804,30.689374],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1800_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1800_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1800_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1800_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1800_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1800,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[166.4472,398.3343],[418.0,398.3343],[55.0,119.6657]]}
-{"angle_degrees":105.505709,"arc_sweep_degrees":105.505709,"canvas_size":[456,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1801","image_path":"images/angle_estimation_1801.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1801_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_1801_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1801_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"74","question_id":"angle_estimation_1801_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1801_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[96.4204,211.3766],[290.6105,167.4928]],"scene_type":"single","seed":1801,"vertex":[228.0,257.5]}
-{"angle_degrees":232.394562,"arc_sweep_degrees":232.394562,"canvas_size":[492,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1802","image_path":"images/angle_estimation_1802.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1802_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_1802_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1802_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"52","question_id":"angle_estimation_1802_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1802_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[123.6069,355.0143],[389.8611,286.845]],"scene_type":"single","seed":1802,"vertex":[246.0,254.0]}
-{"angle_degrees":324.860783,"arc_sweep_degrees":324.860783,"canvas_size":[483,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1803","image_path":"images/angle_estimation_1803.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1803_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_1803_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1803_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"145","question_id":"angle_estimation_1803_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1803_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[207.191,76.3101],[140.1225,150.4202]],"scene_type":"single","seed":1803,"vertex":[241.5,246.5]}
-{"angle_degrees":130.887472,"arc_sweep_degrees":130.887472,"canvas_size":[490,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1804","image_path":"images/angle_estimation_1804.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1804_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1804_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1804_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"49","question_id":"angle_estimation_1804_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1804_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[265.494,413.2051],[124.5092,165.5978]],"scene_type":"single","seed":1804,"vertex":[245.0,246.5]}
-{"angle_degrees":179.999996,"arc_sweep_degrees":179.999996,"canvas_size":[471,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1805","image_path":"images/angle_estimation_1805.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1805_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_1805_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1805_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_1805_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1805_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[185.4371,128.0089],[295.7434,407.8153]],"scene_type":"single","seed":1805,"vertex":[235.5,255.0]}
-{"angle_degrees":344.49549,"arc_sweep_degrees":344.49549,"canvas_size":[454,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1806","image_path":"images/angle_estimation_1806.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1806_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_1806_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1806_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"164","question_id":"angle_estimation_1806_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1806_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[131.1109,153.5849],[123.9637,192.2348]],"scene_type":"single","seed":1806,"vertex":[227.0,253.0]}
-{"angle_degrees":234.772028,"arc_sweep_degrees":234.772028,"canvas_size":[485,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1807","image_path":"images/angle_estimation_1807.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1807_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_1807_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1807_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"55","question_id":"angle_estimation_1807_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1807_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[120.3016,279.2841],[335.528,314.1716]],"scene_type":"single","seed":1807,"vertex":[242.5,242.0]}
-{"angle_degrees":263.579889,"arc_sweep_degrees":263.579889,"canvas_size":[450,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1808","image_path":"images/angle_estimation_1808.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1808_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"270","question_id":"angle_estimation_1808_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1808_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"84","question_id":"angle_estimation_1808_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1808_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[100.8418,281.5409],[285.3763,364.8568]],"scene_type":"single","seed":1808,"vertex":[225.0,238.5]}
-{"angle_1_degrees":76.094739,"angle_2_degrees":24.75305,"angles":[{"angle_degrees":76.094739,"arc_sweep_degrees":76.094739,"ray_endpoints":[[71.7813,353.9017],[30.6549,228.8531]],"vertex":[134.46,283.86]},{"angle_degrees":24.75305,"arc_sweep_degrees":24.75305,"ray_endpoints":[[387.7258,372.763],[342.2674,410.5154]],"vertex":[363.54,283.86]}],"canvas_size":[498,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1809","image_path":"images/angle_estimation_1809.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1809_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1809_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1809_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1809_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1809_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1809}
-{"angle_1_degrees":124.67088,"angle_2_degrees":47.78172,"angles":[{"angle_degrees":124.67088,"arc_sweep_degrees":124.67088,"ray_endpoints":[[28.7263,320.0512],[147.4563,171.5889]],"vertex":[122.58,282.15]},{"angle_degrees":47.78172,"arc_sweep_degrees":47.78172,"ray_endpoints":[[385.0772,362.0005],[301.7038,402.3916]],"vertex":[331.42,282.15]}],"canvas_size":[454,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1810","image_path":"images/angle_estimation_1810.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1810_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1810_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1810_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1810_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1810_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1810}
-{"angle_1_degrees":147.240611,"angle_2_degrees":155.637098,"angles":[{"angle_degrees":147.240611,"arc_sweep_degrees":147.240611,"ray_endpoints":[[226.1339,256.1145],[24.975,356.2506]],"vertex":[130.95,267.9]},{"angle_degrees":155.637098,"arc_sweep_degrees":155.637098,"ray_endpoints":[[325.6993,190.7098],[441.1133,356.4024]],"vertex":[354.05,267.9]}],"canvas_size":[485,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1811","image_path":"images/angle_estimation_1811.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1811_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1811_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1811_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1811_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1811_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1811}
-{"angle_1_degrees":16.971348,"angle_2_degrees":67.640218,"angles":[{"angle_degrees":16.971348,"arc_sweep_degrees":16.971348,"ray_endpoints":[[107.8948,360.879],[65.4108,381.9481]],"vertex":[130.95,282.15]},{"angle_degrees":67.640218,"arc_sweep_degrees":67.640218,"ray_endpoints":[[286.168,244.931],[369.3663,145.0778]],"vertex":[354.05,282.15]}],"canvas_size":[485,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1812","image_path":"images/angle_estimation_1812.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1812_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1812_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1812_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1812_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1812_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1812}
-{"angle_1_degrees":62.791865,"angle_2_degrees":118.627933,"angles":[{"angle_degrees":62.791865,"arc_sweep_degrees":62.791865,"ray_endpoints":[[38.2294,285.0102],[75.1148,184.7188]],"vertex":[129.6,281.58]},{"angle_degrees":118.627933,"arc_sweep_degrees":118.627933,"ray_endpoints":[[275.6998,350.2177],[318.7235,154.0602]],"vertex":[350.4,281.58]}],"canvas_size":[480,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1813","image_path":"images/angle_estimation_1813.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1813_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1813_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1813_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1813_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1813_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1813}
-{"angle_1_degrees":69.337897,"angle_2_degrees":87.138966,"angles":[{"angle_degrees":69.337897,"arc_sweep_degrees":69.337897,"ray_endpoints":[[201.3425,322.3321],[96.6435,367.3761]],"vertex":[134.73,264.48]},{"angle_degrees":87.138966,"arc_sweep_degrees":87.138966,"ray_endpoints":[[433.0902,175.6453],[482.4323,346.9231]],"vertex":[364.27,264.48]}],"canvas_size":[499,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1814","image_path":"images/angle_estimation_1814.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1814_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1814_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1814_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1814_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1814_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1814}
-{"angle_1_degrees":59.608605,"angle_2_degrees":36.961038,"angles":[{"angle_degrees":59.608605,"arc_sweep_degrees":59.608605,"ray_endpoints":[[108.5782,176.5137],[211.917,186.8867]],"vertex":[122.31,261.06]},{"angle_degrees":36.961038,"arc_sweep_degrees":36.961038,"ray_endpoints":[[412.6904,338.7135],[352.4636,389.8128]],"vertex":[330.69,261.06]}],"canvas_size":[453,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1815","image_path":"images/angle_estimation_1815.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1815_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1815_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1815_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1815_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1815_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1815}
-{"canvas_size":[468,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1816","image_path":"images/angle_estimation_1816.png","interior_angles_degrees":[71.135533,48.225186,60.639282],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1816_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1816_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1816_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1816_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1816_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1816,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,389.4397],[413.0,389.4397],[154.0471,99.5603]]}
-{"canvas_size":[484,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1817","image_path":"images/angle_estimation_1817.png","interior_angles_degrees":[57.599698,38.435949,83.964353],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1817_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1817_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1817_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1817_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1817_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1817,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,358.197],[429.0,358.197],[180.2715,160.803]]}
-{"canvas_size":[460,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1818","image_path":"images/angle_estimation_1818.png","interior_angles_degrees":[47.08747,47.85941,85.05312],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1818_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1818_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1818_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1818_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1818_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1818,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,359.8927],[405.0,359.8927],[232.3665,169.1073]]}
-{"canvas_size":[478,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1819","image_path":"images/angle_estimation_1819.png","interior_angles_degrees":[60.999721,43.489979,75.5103],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1819_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1819_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1819_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1819_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1819_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1819,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,360.3948],[423.0,360.3948],[181.8216,131.6052]]}
-{"canvas_size":[459,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1820","image_path":"images/angle_estimation_1820.png","interior_angles_degrees":[56.127655,42.815354,81.05699],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1820_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1820_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1820_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1820_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1820_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1820,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,346.6805],[404.0,346.6805],[188.8254,147.3195]]}
-{"angle_degrees":190.404194,"arc_sweep_degrees":190.404194,"canvas_size":[472,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1821","image_path":"images/angle_estimation_1821.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1821_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_1821_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1821_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"10","question_id":"angle_estimation_1821_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1821_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[102.2441,340.7878],[366.7624,201.4479]],"scene_type":"single","seed":1821,"vertex":[236.0,255.0]}
-{"angle_degrees":133.711992,"arc_sweep_degrees":133.711992,"canvas_size":[500,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1822","image_path":"images/angle_estimation_1822.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1822_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1822_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1822_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"46","question_id":"angle_estimation_1822_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1822_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[290.1441,386.2523],[151.6958,205.5463]],"scene_type":"single","seed":1822,"vertex":[250.0,255.0]}
-{"angle_degrees":12.233635,"arc_sweep_degrees":12.233635,"canvas_size":[467,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1823","image_path":"images/angle_estimation_1823.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1823_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_1823_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1823_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"168","question_id":"angle_estimation_1823_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1823_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[278.8812,95.1296],[294.124,137.3119]],"scene_type":"single","seed":1823,"vertex":[233.5,247.5]}
-{"angle_degrees":149.514372,"arc_sweep_degrees":149.514372,"canvas_size":[464,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1824","image_path":"images/angle_estimation_1824.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1824_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1824_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1824_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"30","question_id":"angle_estimation_1824_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1824_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[381.9184,230.1153],[111.2068,316.8633]],"scene_type":"single","seed":1824,"vertex":[232.0,237.5]}
-{"angle_degrees":59.999968,"arc_sweep_degrees":59.999968,"canvas_size":[451,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1825","image_path":"images/angle_estimation_1825.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1825_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1825_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1825_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_1825_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1825_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[109.9594,321.3031],[131.4218,200.3538]],"scene_type":"single","seed":1825,"vertex":[225.5,255.0]}
-{"angle_degrees":249.301823,"arc_sweep_degrees":249.301823,"canvas_size":[498,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1826","image_path":"images/angle_estimation_1826.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1826_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_1826_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1826_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"69","question_id":"angle_estimation_1826_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1826_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[219.0828,407.7771],[386.7908,239.9279]],"scene_type":"single","seed":1826,"vertex":[249.0,262.0]}
-{"angle_degrees":298.475508,"arc_sweep_degrees":298.475508,"canvas_size":[467,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1827","image_path":"images/angle_estimation_1827.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1827_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_1827_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1827_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"118","question_id":"angle_estimation_1827_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1827_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[382.0229,276.5458],[307.9328,155.4314]],"scene_type":"single","seed":1827,"vertex":[233.5,254.5]}
-{"angle_degrees":26.500501,"arc_sweep_degrees":26.500501,"canvas_size":[491,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1828","image_path":"images/angle_estimation_1828.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1828_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_1828_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1828_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"153","question_id":"angle_estimation_1828_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1828_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[119.9335,252.7679],[104.3286,181.0169]],"scene_type":"single","seed":1828,"vertex":[245.5,256.0]}
-{"angle_1_degrees":111.954355,"angle_2_degrees":74.945923,"angles":[{"angle_degrees":111.954355,"arc_sweep_degrees":111.954355,"ray_endpoints":[[171.522,190.2957],[212.1931,374.9381]],"vertex":[127.44,282.15]},{"angle_degrees":74.945923,"arc_sweep_degrees":74.945923,"ray_endpoints":[[426.8333,251.8395],[425.1842,396.1103]],"vertex":[344.56,282.15]}],"canvas_size":[472,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1829","image_path":"images/angle_estimation_1829.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1829_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1829_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1829_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1829_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1829_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1829}
-{"angle_1_degrees":51.19851,"angle_2_degrees":148.90038,"angles":[{"angle_degrees":51.19851,"arc_sweep_degrees":51.19851,"ray_endpoints":[[213.3736,344.5352],[126.8688,417.6927]],"vertex":[132.03,274.17]},{"angle_degrees":148.90038,"arc_sweep_degrees":148.90038,"ray_endpoints":[[320.6863,176.404],[456.9573,353.8149]],"vertex":[356.97,274.17]}],"canvas_size":[489,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1830","image_path":"images/angle_estimation_1830.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1830_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1830_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1830_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1830_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1830_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1830}
-{"angle_1_degrees":63.377747,"angle_2_degrees":21.560617,"angles":[{"angle_degrees":63.377747,"arc_sweep_degrees":63.377747,"ray_endpoints":[[47.2277,292.3933],[59.7788,176.5085]],"vertex":[130.14,282.15]},{"angle_degrees":21.560617,"arc_sweep_degrees":21.560617,"ray_endpoints":[[336.181,357.1586],[282.1737,387.9669]],"vertex":[351.86,282.15]}],"canvas_size":[482,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1831","image_path":"images/angle_estimation_1831.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1831_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1831_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1831_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1831_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1831_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1831}
-{"angle_1_degrees":138.588427,"angle_2_degrees":35.004874,"angles":[{"angle_degrees":138.588427,"arc_sweep_degrees":138.588427,"ray_endpoints":[[179.2452,181.8669],[165.9744,414.4575]],"vertex":[129.87,282.72]},{"angle_degrees":35.004874,"arc_sweep_degrees":35.004874,"ray_endpoints":[[315.4087,370.8386],[253.0081,346.2674]],"vertex":[351.13,282.72]}],"canvas_size":[481,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1832","image_path":"images/angle_estimation_1832.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1832_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1832_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1832_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1832_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1832_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1832}
-{"angle_1_degrees":100.939551,"angle_2_degrees":57.651635,"angles":[{"angle_degrees":100.939551,"arc_sweep_degrees":100.939551,"ray_endpoints":[[31.9286,291.9327],[123.6913,144.9731]],"vertex":[131.76,265.62]},{"angle_degrees":57.651635,"arc_sweep_degrees":57.651635,"ray_endpoints":[[263.6914,242.1441],[317.3715,146.8064]],"vertex":[356.24,265.62]}],"canvas_size":[488,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1833","image_path":"images/angle_estimation_1833.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1833_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1833_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1833_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1833_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1833_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1833}
-{"angle_1_degrees":59.79861,"angle_2_degrees":38.382504,"angles":[{"angle_degrees":59.79861,"arc_sweep_degrees":59.79861,"ray_endpoints":[[82.9043,200.647],[176.9888,165.6839]],"vertex":[127.98,267.33]},{"angle_degrees":38.382504,"arc_sweep_degrees":38.382504,"ray_endpoints":[[370.7472,192.732],[461.0577,191.826]],"vertex":[346.02,267.33]}],"canvas_size":[474,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1834","image_path":"images/angle_estimation_1834.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1834_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1834_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1834_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1834_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1834_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1834}
-{"angle_1_degrees":72.370778,"angle_2_degrees":118.852069,"angles":[{"angle_degrees":72.370778,"arc_sweep_degrees":72.370778,"ray_endpoints":[[128.3112,394.6053],[16.9401,310.4808]],"vertex":[135.0,280.44]},{"angle_degrees":118.852069,"arc_sweep_degrees":118.852069,"ray_endpoints":[[348.8813,168.5056],[480.9539,324.1576]],"vertex":[365.0,280.44]}],"canvas_size":[500,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1835","image_path":"images/angle_estimation_1835.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1835_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1835_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1835_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1835_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1835_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1835}
-{"canvas_size":[463,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1836","image_path":"images/angle_estimation_1836.png","interior_angles_degrees":[90.436002,52.719116,36.844882],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1836_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1836_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1836_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1836_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1836_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1836,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[87.1395,452.0],[378.8055,452.0],[84.1945,65.0]]}
-{"canvas_size":[482,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1837","image_path":"images/angle_estimation_1837.png","interior_angles_degrees":[90.257298,40.579539,49.163163],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1837_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1837_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1837_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1837_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1837_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1837,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.4308,399.3061],[427.0,399.3061],[55.0,80.6939]]}
-{"canvas_size":[460,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1838","image_path":"images/angle_estimation_1838.png","interior_angles_degrees":[89.112578,37.520348,53.367074],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1838_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1838_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1838_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1838_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1838_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1838,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,387.3014],[405.0,387.3014],[59.1141,121.6986]]}
-{"canvas_size":[453,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1839","image_path":"images/angle_estimation_1839.png","interior_angles_degrees":[90.526998,43.070444,46.402559],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1839_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1839_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1839_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1839_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1839_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1839,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[57.9493,422.321],[398.0,422.321],[55.0,101.679]]}
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-{"angle_degrees":149.530624,"arc_sweep_degrees":149.530624,"canvas_size":[500,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1846","image_path":"images/angle_estimation_1846.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1846_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1846_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1846_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"30","question_id":"angle_estimation_1846_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1846_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[337.3013,129.057],[240.4444,366.3108]],"scene_type":"single","seed":1846,"vertex":[250.0,252.5]}
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-{"angle_1_degrees":126.587001,"angle_2_degrees":116.429958,"angles":[{"angle_degrees":126.587001,"arc_sweep_degrees":126.587001,"ray_endpoints":[[204.106,270.1529],[34.2171,351.2149]],"vertex":[126.36,258.78]},{"angle_degrees":116.429958,"arc_sweep_degrees":116.429958,"ray_endpoints":[[316.6802,331.2115],[256.2694,172.0764]],"vertex":[341.64,258.78]}],"canvas_size":[468,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1849","image_path":"images/angle_estimation_1849.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1849_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1849_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1849_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1849_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1849_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1849}
-{"angle_1_degrees":82.644977,"angle_2_degrees":13.415819,"angles":[{"angle_degrees":82.644977,"arc_sweep_degrees":82.644977,"ray_endpoints":[[65.8021,198.8418],[213.6325,201.15]],"vertex":[133.92,283.86]},{"angle_degrees":13.415819,"arc_sweep_degrees":13.415819,"ray_endpoints":[[356.5194,395.3939],[326.7939,404.7642]],"vertex":[362.08,283.86]}],"canvas_size":[496,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1850","image_path":"images/angle_estimation_1850.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1850_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1850_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1850_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1850_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1850_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1850}
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-{"angle_1_degrees":118.538826,"angle_2_degrees":99.969259,"angles":[{"angle_degrees":118.538826,"arc_sweep_degrees":118.538826,"ray_endpoints":[[203.15,240.8428],[116.4573,395.2367]],"vertex":[122.58,279.3]},{"angle_degrees":99.969259,"arc_sweep_degrees":99.969259,"ray_endpoints":[[394.565,331.8389],[240.8478,356.0268]],"vertex":[331.42,279.3]}],"canvas_size":[454,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1852","image_path":"images/angle_estimation_1852.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1852_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1852_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1852_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1852_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1852_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1852}
-{"angle_1_degrees":68.381124,"angle_2_degrees":29.497309,"angles":[{"angle_degrees":68.381124,"arc_sweep_degrees":68.381124,"ray_endpoints":[[48.9895,321.969],[32.3247,201.3893]],"vertex":[125.55,282.15]},{"angle_degrees":29.497309,"arc_sweep_degrees":29.497309,"ray_endpoints":[[279.5947,207.813],[319.7146,162.2017]],"vertex":[339.45,282.15]}],"canvas_size":[465,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1853","image_path":"images/angle_estimation_1853.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1853_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1853_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1853_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1853_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1853_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1853}
-{"angle_1_degrees":98.387253,"angle_2_degrees":70.774096,"angles":[{"angle_degrees":98.387253,"arc_sweep_degrees":98.387253,"ray_endpoints":[[44.4259,216.5726],[203.9976,162.8725]],"vertex":[127.17,262.77]},{"angle_degrees":70.774096,"arc_sweep_degrees":70.774096,"ray_endpoints":[[252.2338,282.0124],[280.3996,157.5787]],"vertex":[343.83,262.77]}],"canvas_size":[471,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1854","image_path":"images/angle_estimation_1854.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1854_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1854_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1854_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1854_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1854_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1854}
-{"angle_1_degrees":165.194125,"angle_2_degrees":120.558061,"angles":[{"angle_degrees":165.194125,"arc_sweep_degrees":165.194125,"ray_endpoints":[[44.7124,333.5916],[210.0871,162.0665]],"vertex":[126.36,270.75]},{"angle_degrees":120.558061,"arc_sweep_degrees":120.558061,"ray_endpoints":[[410.0471,230.813],[340.9304,415.3876]],"vertex":[341.64,270.75]}],"canvas_size":[468,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1855","image_path":"images/angle_estimation_1855.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1855_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1855_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1855_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1855_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1855_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1855}
-{"canvas_size":[493,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1856","image_path":"images/angle_estimation_1856.png","interior_angles_degrees":[137.410624,22.029541,20.559834],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1856_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1856_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1856_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1856_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1856_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1856,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[223.5933,332.9859],[438.0,332.9859],[55.0,178.0141]]}
-{"canvas_size":[462,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1857","image_path":"images/angle_estimation_1857.png","interior_angles_degrees":[105.448711,41.515729,33.035561],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1857_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1857_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1857_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1857_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1857_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1857,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[141.1128,416.7978],[407.0,416.7978],[55.0,105.2022]]}
-{"canvas_size":[486,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1858","image_path":"images/angle_estimation_1858.png","interior_angles_degrees":[128.48817,21.24579,30.26604],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1858_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1858_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1858_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1858_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1858_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1858,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[171.2328,330.5933],[431.0,330.5933],[55.0,184.4067]]}
-{"canvas_size":[497,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1859","image_path":"images/angle_estimation_1859.png","interior_angles_degrees":[117.635633,22.526728,39.837638],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1859_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1859_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1859_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1859_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1859_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1859,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[139.0409,331.7561],[442.0,331.7561],[55.0,171.2439]]}
-{"canvas_size":[489,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1860","image_path":"images/angle_estimation_1860.png","interior_angles_degrees":[113.784844,28.792081,37.423075],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1860_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1860_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1860_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1860_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1860_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1860,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[146.8005,355.1444],[434.0,355.1444],[55.0,146.8556]]}
-{"angle_degrees":43.525797,"arc_sweep_degrees":43.525797,"canvas_size":[500,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1861","image_path":"images/angle_estimation_1861.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1861_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_1861_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1861_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"136","question_id":"angle_estimation_1861_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1861_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[417.9104,238.6015],[368.7173,347.4578]],"scene_type":"single","seed":1861,"vertex":[250.0,256.0]}
-{"angle_degrees":163.577539,"arc_sweep_degrees":163.577539,"canvas_size":[467,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1862","image_path":"images/angle_estimation_1862.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1862_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1862_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1862_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"16","question_id":"angle_estimation_1862_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1862_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[372.1529,204.9],[141.6171,323.4191]],"scene_type":"single","seed":1862,"vertex":[233.5,255.5]}
-{"angle_degrees":65.287446,"arc_sweep_degrees":65.287446,"canvas_size":[474,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1863","image_path":"images/angle_estimation_1863.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1863_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1863_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1863_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"115","question_id":"angle_estimation_1863_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1863_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[208.6136,422.2056],[121.7822,290.8474]],"scene_type":"single","seed":1863,"vertex":[237.0,260.5]}
-{"angle_degrees":110.307705,"arc_sweep_degrees":110.307705,"canvas_size":[454,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1864","image_path":"images/angle_estimation_1864.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1864_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_1864_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1864_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"70","question_id":"angle_estimation_1864_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1864_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[250.1264,88.7844],[335.5939,315.9594]],"scene_type":"single","seed":1864,"vertex":[227.0,258.0]}
-{"angle_degrees":89.999996,"arc_sweep_degrees":89.999996,"canvas_size":[494,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1865","image_path":"images/angle_estimation_1865.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"right","question_id":"angle_estimation_1865_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_1865_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"approximately equal to","question_id":"angle_estimation_1865_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"90","question_id":"angle_estimation_1865_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1865_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[304.3463,95.4353],[387.8362,297.1049]],"scene_type":"single","seed":1865,"vertex":[247.0,242.0]}
-{"angle_degrees":13.508588,"arc_sweep_degrees":13.508588,"canvas_size":[487,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1866","image_path":"images/angle_estimation_1866.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1866_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_1866_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1866_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"166","question_id":"angle_estimation_1866_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1866_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[197.2686,113.5621],[231.2458,110.7464]],"scene_type":"single","seed":1866,"vertex":[243.5,252.0]}
-{"angle_degrees":244.579351,"arc_sweep_degrees":244.579351,"canvas_size":[487,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1867","image_path":"images/angle_estimation_1867.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1867_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_1867_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1867_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"65","question_id":"angle_estimation_1867_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1867_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[388.9459,252.0412],[197.9653,134.3117]],"scene_type":"single","seed":1867,"vertex":[243.5,244.5]}
-{"angle_degrees":247.960629,"arc_sweep_degrees":247.960629,"canvas_size":[488,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1868","image_path":"images/angle_estimation_1868.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1868_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_1868_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1868_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"68","question_id":"angle_estimation_1868_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1868_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[270.469,104.2344],[118.784,277.7731]],"scene_type":"single","seed":1868,"vertex":[244.0,251.5]}
-{"angle_1_degrees":80.090095,"angle_2_degrees":21.04575,"angles":[{"angle_degrees":80.090095,"arc_sweep_degrees":80.090095,"ray_endpoints":[[72.9941,309.272],[48.3819,180.7221]],"vertex":[134.73,264.48]},{"angle_degrees":21.04575,"arc_sweep_degrees":21.04575,"ray_endpoints":[[448.7971,290.0034],[474.8376,350.3926]],"vertex":[364.27,264.48]}],"canvas_size":[499,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1869","image_path":"images/angle_estimation_1869.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1869_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1869_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1869_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1869_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1869_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1869}
-{"angle_1_degrees":102.225172,"angle_2_degrees":88.864145,"angles":[{"angle_degrees":102.225172,"arc_sweep_degrees":102.225172,"ray_endpoints":[[210.5322,285.3554],[67.9508,368.0579]],"vertex":[127.17,260.49]},{"angle_degrees":88.864145,"arc_sweep_degrees":88.864145,"ray_endpoints":[[444.6722,308.3411],[286.1505,388.5387]],"vertex":[343.83,260.49]}],"canvas_size":[471,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1870","image_path":"images/angle_estimation_1870.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1870_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1870_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1870_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1870_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1870_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1870}
-{"angle_1_degrees":142.722237,"angle_2_degrees":74.658156,"angles":[{"angle_degrees":142.722237,"arc_sweep_degrees":142.722237,"ray_endpoints":[[96.2359,356.3451],[96.1028,158.0763]],"vertex":[129.6,258.78]},{"angle_degrees":74.658156,"arc_sweep_degrees":74.658156,"ray_endpoints":[[462.6208,276.3889],[364.6547,385.3826]],"vertex":[350.4,258.78]}],"canvas_size":[480,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1871","image_path":"images/angle_estimation_1871.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1871_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1871_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1871_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1871_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1871_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1871}
-{"angle_1_degrees":63.589557,"angle_2_degrees":25.24922,"angles":[{"angle_degrees":63.589557,"arc_sweep_degrees":63.589557,"ray_endpoints":[[149.2408,367.8238],[35.5021,341.6957]],"vertex":[126.09,267.33]},{"angle_degrees":25.24922,"arc_sweep_degrees":25.24922,"ray_endpoints":[[335.7661,189.851],[393.2813,134.0427]],"vertex":[340.91,267.33]}],"canvas_size":[467,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1872","image_path":"images/angle_estimation_1872.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1872_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1872_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1872_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1872_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1872_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1872}
-{"angle_1_degrees":142.202111,"angle_2_degrees":43.252951,"angles":[{"angle_degrees":142.202111,"arc_sweep_degrees":142.202111,"ray_endpoints":[[218.4899,286.3557],[33.4941,352.9987]],"vertex":[135.0,282.15]},{"angle_degrees":43.252951,"arc_sweep_degrees":43.252951,"ray_endpoints":[[345.8193,200.6667],[433.4897,163.5558]],"vertex":[365.0,282.15]}],"canvas_size":[500,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1873","image_path":"images/angle_estimation_1873.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1873_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1873_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1873_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1873_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1873_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1873}
-{"angle_1_degrees":68.957205,"angle_2_degrees":150.121566,"angles":[{"angle_degrees":68.957205,"arc_sweep_degrees":68.957205,"ray_endpoints":[[196.092,332.5441],[101.877,390.5234]],"vertex":[132.03,284.43]},{"angle_degrees":150.121566,"arc_sweep_degrees":150.121566,"ray_endpoints":[[276.8864,306.902],[442.762,196.966]],"vertex":[356.97,284.43]}],"canvas_size":[489,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1874","image_path":"images/angle_estimation_1874.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1874_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1874_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1874_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1874_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1874_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1874}
-{"angle_1_degrees":21.804678,"angle_2_degrees":73.626149,"angles":[{"angle_degrees":21.804678,"arc_sweep_degrees":21.804678,"ray_endpoints":[[43.7497,189.8458],[75.9063,160.0978]],"vertex":[125.55,266.76]},{"angle_degrees":73.626149,"arc_sweep_degrees":73.626149,"ray_endpoints":[[439.0389,228.5746],[411.7255,361.4561]],"vertex":[339.45,266.76]}],"canvas_size":[465,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1875","image_path":"images/angle_estimation_1875.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1875_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1875_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1875_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1875_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1875_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1875}
-{"canvas_size":[474,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1876","image_path":"images/angle_estimation_1876.png","interior_angles_degrees":[65.537296,66.088088,48.374616],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1876_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1876_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_1876_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1876_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1876_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1876,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[64.521,449.0],[409.479,449.0],[239.2181,65.0]]}
-{"canvas_size":[459,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1877","image_path":"images/angle_estimation_1877.png","interior_angles_degrees":[65.687656,37.536168,76.776176],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1877_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1877_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1877_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1877_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1877_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1877,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,361.0266],[404.0,361.0266],[144.9276,161.9734]]}
-{"canvas_size":[484,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1878","image_path":"images/angle_estimation_1878.png","interior_angles_degrees":[53.329053,61.599785,65.071163],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1878_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1878_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1878_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1878_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1878_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1878,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,394.9923],[429.0,394.9923],[271.6638,104.0077]]}
-{"canvas_size":[498,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1879","image_path":"images/angle_estimation_1879.png","interior_angles_degrees":[64.689816,69.469844,45.84034],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1879_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1879_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_1879_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1879_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1879_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1879,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[82.9096,457.0],[415.0904,457.0],[268.2924,65.0]]}
-{"canvas_size":[499,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1880","image_path":"images/angle_estimation_1880.png","interior_angles_degrees":[65.230285,59.89514,54.874575],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1880_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1880_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1880_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1880_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1880_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1880,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,450.8007],[444.0,450.8007],[227.3885,77.1993]]}
-{"angle_degrees":348.513137,"arc_sweep_degrees":348.513137,"canvas_size":[469,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1881","image_path":"images/angle_estimation_1881.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1881_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_1881_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1881_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"169","question_id":"angle_estimation_1881_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1881_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[356.5972,172.1904],[333.9748,154.1288]],"scene_type":"single","seed":1881,"vertex":[234.5,248.5]}
-{"angle_degrees":326.078588,"arc_sweep_degrees":326.078588,"canvas_size":[478,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1882","image_path":"images/angle_estimation_1882.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1882_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_1882_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1882_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"146","question_id":"angle_estimation_1882_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1882_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[100.6071,339.0455],[190.7142,357.0257]],"scene_type":"single","seed":1882,"vertex":[239.0,261.5]}
-{"angle_degrees":140.674482,"arc_sweep_degrees":140.674482,"canvas_size":[493,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1883","image_path":"images/angle_estimation_1883.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1883_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1883_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1883_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"39","question_id":"angle_estimation_1883_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1883_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[395.2246,225.6039],[160.3715,360.6964]],"scene_type":"single","seed":1883,"vertex":[246.5,255.5]}
-{"angle_degrees":257.683637,"arc_sweep_degrees":257.683637,"canvas_size":[457,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1884","image_path":"images/angle_estimation_1884.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1884_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_1884_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1884_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"78","question_id":"angle_estimation_1884_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1884_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[71.8146,177.0273],[205.5234,353.0903]],"scene_type":"single","seed":1884,"vertex":[228.5,249.5]}
-{"angle_degrees":30.000012,"arc_sweep_degrees":30.000012,"canvas_size":[492,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1885","image_path":"images/angle_estimation_1885.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1885_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_1885_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1885_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_1885_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1885_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[201.647,366.8024],[124.9206,348.5599]],"scene_type":"single","seed":1885,"vertex":[246.0,249.5]}
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-{"angle_degrees":64.436964,"arc_sweep_degrees":64.436964,"canvas_size":[488,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1888","image_path":"images/angle_estimation_1888.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1888_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1888_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1888_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"116","question_id":"angle_estimation_1888_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1888_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[333.9958,389.5359],[184.3624,362.9089]],"scene_type":"single","seed":1888,"vertex":[244.0,259.0]}
-{"angle_1_degrees":139.748241,"angle_2_degrees":42.136137,"angles":[{"angle_degrees":139.748241,"arc_sweep_degrees":139.748241,"ray_endpoints":[[61.0435,313.721],[174.4844,149.1478]],"vertex":[126.63,277.02]},{"angle_degrees":42.136137,"arc_sweep_degrees":42.136137,"ray_endpoints":[[412.7343,305.2252],[395.1537,385.1434]],"vertex":[342.37,277.02]}],"canvas_size":[469,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1889","image_path":"images/angle_estimation_1889.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1889_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1889_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1889_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1889_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1889_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1889}
-{"angle_1_degrees":50.011456,"angle_2_degrees":81.653621,"angles":[{"angle_degrees":50.011456,"arc_sweep_degrees":50.011456,"ray_endpoints":[[176.3072,376.2854],[77.2455,386.9696]],"vertex":[127.98,275.31]},{"angle_degrees":81.653621,"arc_sweep_degrees":81.653621,"ray_endpoints":[[271.4371,259.5288],[355.0443,131.9038]],"vertex":[346.02,275.31]}],"canvas_size":[474,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1890","image_path":"images/angle_estimation_1890.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1890_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1890_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1890_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1890_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1890_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1890}
-{"angle_1_degrees":56.492576,"angle_2_degrees":33.992641,"angles":[{"angle_degrees":56.492576,"arc_sweep_degrees":56.492576,"ray_endpoints":[[218.905,242.7205],[215.4207,344.5699]],"vertex":[133.65,257.07]},{"angle_degrees":33.992641,"arc_sweep_degrees":33.992641,"ray_endpoints":[[451.3875,213.2635],[470.6494,272.5245]],"vertex":[361.35,257.07]}],"canvas_size":[495,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1891","image_path":"images/angle_estimation_1891.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1891_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1891_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1891_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1891_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1891_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1891}
-{"angle_1_degrees":150.200744,"angle_2_degrees":33.398207,"angles":[{"angle_degrees":150.200744,"arc_sweep_degrees":150.200744,"ray_endpoints":[[55.995,325.6996],[176.8132,161.3675]],"vertex":[132.3,267.33]},{"angle_degrees":33.398207,"arc_sweep_degrees":33.398207,"ray_endpoints":[[462.1137,280.606],[458.4382,353.8085]],"vertex":[357.7,267.33]}],"canvas_size":[490,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1892","image_path":"images/angle_estimation_1892.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1892_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1892_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_1892_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1892_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1892_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1892}
-{"angle_1_degrees":99.508372,"angle_2_degrees":51.35403,"angles":[{"angle_degrees":99.508372,"arc_sweep_degrees":99.508372,"ray_endpoints":[[33.1091,251.0144],[180.8448,146.3378]],"vertex":[134.19,270.75]},{"angle_degrees":51.35403,"arc_sweep_degrees":51.35403,"ray_endpoints":[[288.6212,212.651],[361.3408,125.7778]],"vertex":[362.81,270.75]}],"canvas_size":[497,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1893","image_path":"images/angle_estimation_1893.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1893_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1893_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1893_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1893_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1893_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1893}
-{"angle_1_degrees":16.442295,"angle_2_degrees":79.035707,"angles":[{"angle_degrees":16.442295,"arc_sweep_degrees":16.442295,"ray_endpoints":[[64.3693,222.4057],[66.7925,183.8926]],"vertex":[134.73,275.31]},{"angle_degrees":79.035707,"arc_sweep_degrees":79.035707,"ray_endpoints":[[321.2186,187.5021],[460.1191,202.8657]],"vertex":[364.27,275.31]}],"canvas_size":[499,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1894","image_path":"images/angle_estimation_1894.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1894_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1894_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1894_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1894_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1894_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1894}
-{"angle_1_degrees":62.732528,"angle_2_degrees":125.300194,"angles":[{"angle_degrees":62.732528,"arc_sweep_degrees":62.732528,"ray_endpoints":[[201.8751,311.1945],[128.2306,401.0516]],"vertex":[126.63,273.6]},{"angle_degrees":125.300194,"arc_sweep_degrees":125.300194,"ray_endpoints":[[428.0428,223.2702],[330.8119,409.3258]],"vertex":[342.37,273.6]}],"canvas_size":[469,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1895","image_path":"images/angle_estimation_1895.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1895_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1895_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1895_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1895_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1895_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1895}
-{"canvas_size":[493,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1896","image_path":"images/angle_estimation_1896.png","interior_angles_degrees":[89.557769,53.969836,36.472395],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1896_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1896_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1896_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1896_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1896_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1896,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[115.6583,421.0],[377.3417,421.0],[118.4061,65.0]]}
-{"canvas_size":[481,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1897","image_path":"images/angle_estimation_1897.png","interior_angles_degrees":[90.681664,52.546324,36.772013],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1897_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1897_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1897_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1897_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1897_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1897,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[103.1842,435.0],[382.218,435.0],[98.782,65.0]]}
-{"canvas_size":[469,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1898","image_path":"images/angle_estimation_1898.png","interior_angles_degrees":[90.662031,44.603699,44.734271],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1898_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1898_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1898_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1898_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1898_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1898,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[59.0913,437.5339],[414.0,437.5339],[55.0,83.4661]]}
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-{"angle_degrees":44.551095,"arc_sweep_degrees":44.551095,"canvas_size":[483,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1901","image_path":"images/angle_estimation_1901.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1901_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_1901_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1901_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"135","question_id":"angle_estimation_1901_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1901_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[177.5077,133.6788],[284.8333,122.841]],"scene_type":"single","seed":1901,"vertex":[241.5,259.5]}
-{"angle_degrees":276.087046,"arc_sweep_degrees":276.087046,"canvas_size":[451,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1902","image_path":"images/angle_estimation_1902.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1902_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"270","question_id":"angle_estimation_1902_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1902_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"96","question_id":"angle_estimation_1902_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1902_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[134.4145,138.2565],[134.8286,304.7948]],"scene_type":"single","seed":1902,"vertex":[225.5,238.5]}
-{"angle_degrees":72.170007,"arc_sweep_degrees":72.170007,"canvas_size":[494,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1903","image_path":"images/angle_estimation_1903.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1903_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1903_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1903_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"108","question_id":"angle_estimation_1903_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1903_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[386.3881,250.7726],[304.9243,406.1703]],"scene_type":"single","seed":1903,"vertex":[247.0,260.0]}
-{"angle_degrees":54.376337,"arc_sweep_degrees":54.376337,"canvas_size":[480,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1904","image_path":"images/angle_estimation_1904.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1904_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1904_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1904_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"126","question_id":"angle_estimation_1904_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1904_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[187.41,398.6953],[129.6972,282.3069]],"scene_type":"single","seed":1904,"vertex":[240.0,250.5]}
-{"angle_degrees":179.999987,"arc_sweep_degrees":179.999987,"canvas_size":[456,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1905","image_path":"images/angle_estimation_1905.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1905_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_1905_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1905_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_1905_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1905_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[264.7966,416.4653],[203.5872,159.5197]],"scene_type":"single","seed":1905,"vertex":[228.0,262.0]}
-{"angle_degrees":318.10393,"arc_sweep_degrees":318.10393,"canvas_size":[463,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1906","image_path":"images/angle_estimation_1906.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1906_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_1906_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1906_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"138","question_id":"angle_estimation_1906_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1906_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[295.6069,124.104],[191.637,100.2957]],"scene_type":"single","seed":1906,"vertex":[231.5,250.0]}
-{"angle_degrees":202.988012,"arc_sweep_degrees":202.988012,"canvas_size":[465,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1907","image_path":"images/angle_estimation_1907.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1907_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_1907_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1907_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"23","question_id":"angle_estimation_1907_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1907_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[297.8193,84.9821],[135.9829,337.3115]],"scene_type":"single","seed":1907,"vertex":[232.5,242.5]}
-{"angle_degrees":170.449163,"arc_sweep_degrees":170.449163,"canvas_size":[463,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1908","image_path":"images/angle_estimation_1908.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1908_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1908_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1908_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"10","question_id":"angle_estimation_1908_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1908_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[261.5222,387.5241],[175.7949,123.3632]],"scene_type":"single","seed":1908,"vertex":[231.5,257.5]}
-{"angle_1_degrees":115.145361,"angle_2_degrees":38.225395,"angles":[{"angle_degrees":115.145361,"arc_sweep_degrees":115.145361,"ray_endpoints":[[56.0097,311.7692],[100.1732,124.4697]],"vertex":[126.09,261.06]},{"angle_degrees":38.225395,"arc_sweep_degrees":38.225395,"ray_endpoints":[[415.8387,274.2976],[416.2585,345.4643]],"vertex":[340.91,261.06]}],"canvas_size":[467,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1909","image_path":"images/angle_estimation_1909.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1909_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1909_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1909_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1909_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1909_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1909}
-{"angle_1_degrees":31.867936,"angle_2_degrees":54.803273,"angles":[{"angle_degrees":31.867936,"arc_sweep_degrees":31.867936,"ray_endpoints":[[48.6228,356.2525],[12.2505,306.1808]],"vertex":[122.31,274.17]},{"angle_degrees":54.803273,"arc_sweep_degrees":54.803273,"ray_endpoints":[[428.5368,289.6281],[393.462,401.6318]],"vertex":[330.69,274.17]}],"canvas_size":[453,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1910","image_path":"images/angle_estimation_1910.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1910_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1910_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1910_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1910_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1910_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1910}
-{"angle_1_degrees":133.81933,"angle_2_degrees":43.247544,"angles":[{"angle_degrees":133.81933,"arc_sweep_degrees":133.81933,"ray_endpoints":[[199.7053,355.9993],[14.8208,280.2516]],"vertex":[127.44,280.44]},{"angle_degrees":43.247544,"arc_sweep_degrees":43.247544,"ray_endpoints":[[335.63,205.9275],[413.3598,187.1682]],"vertex":[344.56,280.44]}],"canvas_size":[472,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1911","image_path":"images/angle_estimation_1911.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1911_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1911_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1911_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1911_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1911_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1911}
-{"angle_1_degrees":101.296058,"angle_2_degrees":112.745191,"angles":[{"angle_degrees":101.296058,"arc_sweep_degrees":101.296058,"ray_endpoints":[[183.8634,235.6332],[184.3965,409.3479]],"vertex":[122.31,282.72]},{"angle_degrees":112.745191,"arc_sweep_degrees":112.745191,"ray_endpoints":[[423.3848,263.1033],[304.0774,422.2788]],"vertex":[330.69,282.72]}],"canvas_size":[453,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1912","image_path":"images/angle_estimation_1912.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1912_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1912_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1912_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1912_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1912_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1912}
-{"angle_1_degrees":35.062792,"angle_2_degrees":57.489061,"angles":[{"angle_degrees":35.062792,"arc_sweep_degrees":35.062792,"ray_endpoints":[[195.8994,359.3434],[133.9049,398.2166]],"vertex":[130.14,271.32]},{"angle_degrees":57.489061,"arc_sweep_degrees":57.489061,"ray_endpoints":[[283.6497,181.6935],[395.0406,154.0602]],"vertex":[351.86,271.32]}],"canvas_size":[482,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1913","image_path":"images/angle_estimation_1913.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1913_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1913_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1913_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1913_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1913_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1913}
-{"angle_1_degrees":157.285327,"angle_2_degrees":34.008393,"angles":[{"angle_degrees":157.285327,"arc_sweep_degrees":157.285327,"ray_endpoints":[[102.7983,349.9793],[95.5939,122.4435]],"vertex":[121.5,265.05]},{"angle_degrees":34.008393,"arc_sweep_degrees":34.008393,"ray_endpoints":[[384.2024,361.2181],[319.5997,394.6658]],"vertex":[328.5,265.05]}],"canvas_size":[450,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1914","image_path":"images/angle_estimation_1914.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1914_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1914_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_1914_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1914_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1914_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1914}
-{"angle_1_degrees":62.230983,"angle_2_degrees":73.229539,"angles":[{"angle_degrees":62.230983,"arc_sweep_degrees":62.230983,"ray_endpoints":[[177.3596,344.3992],[50.8118,377.7764]],"vertex":[130.41,258.21]},{"angle_degrees":73.229539,"arc_sweep_degrees":73.229539,"ray_endpoints":[[414.1521,347.5835],[262.6868,370.549]],"vertex":[352.59,258.21]}],"canvas_size":[483,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1915","image_path":"images/angle_estimation_1915.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1915_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1915_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1915_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1915_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1915_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1915}
-{"canvas_size":[452,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1916","image_path":"images/angle_estimation_1916.png","interior_angles_degrees":[139.776945,12.777712,27.445343],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1916_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1916_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1916_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1916_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1916_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1916,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[146.7057,278.7803],[397.0,278.7803],[55.0,201.2197]]}
-{"canvas_size":[464,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1917","image_path":"images/angle_estimation_1917.png","interior_angles_degrees":[126.209195,17.946612,35.844193],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1917_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1917_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1917_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1917_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1917_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1917,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[138.9445,299.3285],[409.0,299.3285],[55.0,184.6715]]}
-{"canvas_size":[454,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1918","image_path":"images/angle_estimation_1918.png","interior_angles_degrees":[109.644366,32.188387,38.167247],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1918_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1918_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1918_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1918_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1918_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1918,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[132.2922,366.7655],[399.0,366.7655],[55.0,150.2345]]}
-{"canvas_size":[471,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1919","image_path":"images/angle_estimation_1919.png","interior_angles_degrees":[101.96824,25.213629,52.818131],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1919_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1919_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1919_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1919_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1919_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1919,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[91.0316,327.9893],[416.0,327.9893],[55.0,158.0107]]}
-{"canvas_size":[481,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1920","image_path":"images/angle_estimation_1920.png","interior_angles_degrees":[113.147216,31.90016,34.952624],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1920_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1920_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1920_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1920_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1920_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1920,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[153.7244,362.9643],[426.0,362.9643],[55.0,132.0357]]}
-{"angle_degrees":13.499973,"arc_sweep_degrees":13.499973,"canvas_size":[489,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1921","image_path":"images/angle_estimation_1921.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1921_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_1921_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1921_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"167","question_id":"angle_estimation_1921_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1921_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[117.9005,300.1512],[98.195,270.5573]],"scene_type":"single","seed":1921,"vertex":[244.5,258.5]}
-{"angle_degrees":22.086091,"arc_sweep_degrees":22.086091,"canvas_size":[452,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1922","image_path":"images/angle_estimation_1922.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1922_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_1922_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1922_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"158","question_id":"angle_estimation_1922_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1922_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[244.7819,380.8155],[188.2932,385.1397]],"scene_type":"single","seed":1922,"vertex":[226.0,239.5]}
-{"angle_degrees":153.314685,"arc_sweep_degrees":153.314685,"canvas_size":[481,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1923","image_path":"images/angle_estimation_1923.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1923_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1923_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1923_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"27","question_id":"angle_estimation_1923_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1923_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[71.9642,225.3565],[391.4883,218.3845]],"scene_type":"single","seed":1923,"vertex":[240.5,259.5]}
-{"angle_degrees":314.123651,"arc_sweep_degrees":314.123651,"canvas_size":[468,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1924","image_path":"images/angle_estimation_1924.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1924_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_1924_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1924_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"134","question_id":"angle_estimation_1924_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1924_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[114.5117,213.596],[117.5336,313.4513]],"scene_type":"single","seed":1924,"vertex":[234.0,260.0]}
-{"angle_degrees":29.999988,"arc_sweep_degrees":29.999988,"canvas_size":[459,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1925","image_path":"images/angle_estimation_1925.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1925_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_1925_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1925_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_1925_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1925_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[92.5442,323.5562],[120.2865,243.4745]],"scene_type":"single","seed":1925,"vertex":[229.5,242.0]}
-{"angle_degrees":236.43967,"arc_sweep_degrees":236.43967,"canvas_size":[498,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1926","image_path":"images/angle_estimation_1926.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1926_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_1926_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1926_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"56","question_id":"angle_estimation_1926_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1926_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[319.4153,407.561],[311.8864,154.4737]],"scene_type":"single","seed":1926,"vertex":[249.0,258.5]}
-{"angle_degrees":289.816843,"arc_sweep_degrees":289.816843,"canvas_size":[492,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1927","image_path":"images/angle_estimation_1927.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1927_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_1927_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1927_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"110","question_id":"angle_estimation_1927_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1927_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[83.9705,315.0523],[243.9074,422.2604]],"scene_type":"single","seed":1927,"vertex":[246.0,259.0]}
-{"angle_degrees":324.07391,"arc_sweep_degrees":324.07391,"canvas_size":[458,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1928","image_path":"images/angle_estimation_1928.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1928_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_1928_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1928_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"144","question_id":"angle_estimation_1928_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1928_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[248.4113,88.3841],[174.8618,144.402]],"scene_type":"single","seed":1928,"vertex":[229.0,243.0]}
-{"angle_1_degrees":45.220329,"angle_2_degrees":36.158038,"angles":[{"angle_degrees":45.220329,"arc_sweep_degrees":45.220329,"ray_endpoints":[[87.1833,173.2151],[177.5448,161.882]],"vertex":[134.73,276.45]},{"angle_degrees":36.158038,"arc_sweep_degrees":36.158038,"ray_endpoints":[[325.8194,178.3051],[399.2891,143.5709]],"vertex":[364.27,276.45]}],"canvas_size":[499,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1929","image_path":"images/angle_estimation_1929.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1929_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1929_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1929_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1929_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1929_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1929}
-{"angle_1_degrees":152.903257,"angle_2_degrees":29.038517,"angles":[{"angle_degrees":152.903257,"arc_sweep_degrees":152.903257,"ray_endpoints":[[117.412,355.617],[95.3442,130.1116]],"vertex":[134.73,265.05]},{"angle_degrees":29.038517,"arc_sweep_degrees":29.038517,"ray_endpoints":[[355.3028,173.1856],[421.3038,133.6514]],"vertex":[364.27,265.05]}],"canvas_size":[499,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1930","image_path":"images/angle_estimation_1930.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1930_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1930_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_1930_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1930_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1930_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1930}
-{"angle_1_degrees":12.085682,"angle_2_degrees":37.806474,"angles":[{"angle_degrees":12.085682,"arc_sweep_degrees":12.085682,"ray_endpoints":[[121.5318,195.9316],[140.2763,139.1927]],"vertex":[135.0,273.6]},{"angle_degrees":37.806474,"arc_sweep_degrees":37.806474,"ray_endpoints":[[394.6754,345.4436],[331.4198,395.8193]],"vertex":[365.0,273.6]}],"canvas_size":[500,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1931","image_path":"images/angle_estimation_1931.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1931_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1931_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1931_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1931_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1931_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1931}
-{"angle_1_degrees":17.957695,"angle_2_degrees":67.962746,"angles":[{"angle_degrees":17.957695,"arc_sweep_degrees":17.957695,"ray_endpoints":[[32.5904,317.5341],[13.338,286.8396]],"vertex":[127.17,257.64]},{"angle_degrees":67.962746,"arc_sweep_degrees":67.962746,"ray_endpoints":[[448.8362,292.6718],[350.9189,370.702]],"vertex":[343.83,257.64]}],"canvas_size":[471,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1932","image_path":"images/angle_estimation_1932.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1932_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1932_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1932_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1932_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1932_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1932}
-{"angle_1_degrees":60.704898,"angle_2_degrees":132.084528,"angles":[{"angle_degrees":60.704898,"arc_sweep_degrees":60.704898,"ray_endpoints":[[203.0708,324.2701],[109.5984,384.2109]],"vertex":[126.9,265.62]},{"angle_degrees":132.084528,"arc_sweep_degrees":132.084528,"ray_endpoints":[[387.9372,170.8277],[392.2508,383.6908]],"vertex":[343.1,265.62]}],"canvas_size":[470,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1933","image_path":"images/angle_estimation_1933.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1933_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1933_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1933_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1933_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1933_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1933}
-{"angle_1_degrees":131.174381,"angle_2_degrees":17.261859,"angles":[{"angle_degrees":131.174381,"arc_sweep_degrees":131.174381,"ray_endpoints":[[208.5755,239.2242],[64.8501,384.7141]],"vertex":[126.09,261.06]},{"angle_degrees":17.261859,"arc_sweep_degrees":17.261859,"ray_endpoints":[[258.1688,210.0396],[261.1797,169.596]],"vertex":[340.91,261.06]}],"canvas_size":[467,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1934","image_path":"images/angle_estimation_1934.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1934_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1934_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_1934_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1934_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1934_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1934}
-{"angle_1_degrees":24.603374,"angle_2_degrees":63.201037,"angles":[{"angle_degrees":24.603374,"arc_sweep_degrees":24.603374,"ray_endpoints":[[196.6065,354.6957],[164.9026,396.0083]],"vertex":[123.93,279.3]},{"angle_degrees":63.201037,"arc_sweep_degrees":63.201037,"ray_endpoints":[[310.9474,177.3094],[421.0286,206.901]],"vertex":[335.07,279.3]}],"canvas_size":[459,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1935","image_path":"images/angle_estimation_1935.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1935_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1935_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1935_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1935_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1935_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1935}
-{"canvas_size":[473,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1936","image_path":"images/angle_estimation_1936.png","interior_angles_degrees":[49.334629,46.367788,84.297583],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1936_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1936_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1936_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1936_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1936_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1936,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,356.641],[418.0,356.641],[227.0592,156.359]]}
-{"canvas_size":[487,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1937","image_path":"images/angle_estimation_1937.png","interior_angles_degrees":[55.779663,48.415872,75.804465],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1937_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1937_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1937_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1937_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1937_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1937,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,364.7579],[432.0,364.7579],[218.5792,124.2421]]}
-{"canvas_size":[483,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1938","image_path":"images/angle_estimation_1938.png","interior_angles_degrees":[62.675699,34.913364,82.410937],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1938_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1938_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1938_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1938_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1938_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1938,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,356.169],[428.0,356.169],[153.8597,164.831]]}
-{"canvas_size":[486,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1939","image_path":"images/angle_estimation_1939.png","interior_angles_degrees":[50.789394,50.099363,79.111243],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1939_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1939_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1939_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1939_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1939_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1939,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,361.2989],[431.0,361.2989],[240.6944,133.7011]]}
-{"canvas_size":[496,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1940","image_path":"images/angle_estimation_1940.png","interior_angles_degrees":[52.119783,58.629241,69.250975],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1940_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1940_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1940_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1940_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1940_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1940,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,388.0864],[441.0,388.0864],[271.3974,109.9136]]}
-{"angle_degrees":24.956531,"arc_sweep_degrees":24.956531,"canvas_size":[481,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1941","image_path":"images/angle_estimation_1941.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1941_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_1941_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1941_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"155","question_id":"angle_estimation_1941_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1941_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[259.7443,113.5198],[327.9172,112.1792]],"scene_type":"single","seed":1941,"vertex":[240.5,245.5]}
-{"angle_degrees":150.633094,"arc_sweep_degrees":150.633094,"canvas_size":[468,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1942","image_path":"images/angle_estimation_1942.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1942_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1942_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1942_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"29","question_id":"angle_estimation_1942_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1942_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[394.9051,267.3747],[126.3717,273.3815]],"scene_type":"single","seed":1942,"vertex":[234.0,237.0]}
-{"angle_degrees":29.408074,"arc_sweep_degrees":29.408074,"canvas_size":[494,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1943","image_path":"images/angle_estimation_1943.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1943_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_1943_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1943_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"151","question_id":"angle_estimation_1943_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1943_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[162.18,374.0746],[138.3587,307.3618]],"scene_type":"single","seed":1943,"vertex":[247.0,258.0]}
-{"angle_degrees":100.297542,"arc_sweep_degrees":100.297542,"canvas_size":[453,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1944","image_path":"images/angle_estimation_1944.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1944_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_1944_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1944_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"80","question_id":"angle_estimation_1944_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1944_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[337.9688,372.4846],[119.9303,318.2159]],"scene_type":"single","seed":1944,"vertex":[226.5,251.0]}
-{"angle_degrees":45.000011,"arc_sweep_degrees":45.000011,"canvas_size":[476,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1945","image_path":"images/angle_estimation_1945.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1945_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_1945_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1945_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"135","question_id":"angle_estimation_1945_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1945_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[202.034,416.7636],[102.9606,334.4382]],"scene_type":"single","seed":1945,"vertex":[238.0,246.5]}
-{"angle_degrees":81.45258,"arc_sweep_degrees":81.45258,"canvas_size":[463,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1946","image_path":"images/angle_estimation_1946.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1946_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1946_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1946_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"99","question_id":"angle_estimation_1946_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1946_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[382.608,249.616],[243.5933,380.8825]],"scene_type":"single","seed":1946,"vertex":[231.5,240.0]}
-{"angle_degrees":198.698811,"arc_sweep_degrees":198.698811,"canvas_size":[496,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1947","image_path":"images/angle_estimation_1947.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1947_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_1947_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1947_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"19","question_id":"angle_estimation_1947_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1947_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[171.7179,155.4453],[286.6194,378.7104]],"scene_type":"single","seed":1947,"vertex":[248.0,258.5]}
-{"angle_degrees":128.873155,"arc_sweep_degrees":128.873155,"canvas_size":[476,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1948","image_path":"images/angle_estimation_1948.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1948_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1948_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1948_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"51","question_id":"angle_estimation_1948_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1948_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[363.7277,149.5453],[233.456,367.2527]],"scene_type":"single","seed":1948,"vertex":[238.0,243.5]}
-{"angle_1_degrees":117.459345,"angle_2_degrees":54.197944,"angles":[{"angle_degrees":117.459345,"arc_sweep_degrees":117.459345,"ray_endpoints":[[97.292,354.5576],[43.7053,168.6006]],"vertex":[130.95,283.29]},{"angle_degrees":54.197944,"arc_sweep_degrees":54.197944,"ray_endpoints":[[257.926,290.0622],[276.9733,190.8848]],"vertex":[354.05,283.29]}],"canvas_size":[485,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1949","image_path":"images/angle_estimation_1949.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1949_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1949_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1949_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1949_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1949_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1949}
-{"angle_1_degrees":141.434899,"angle_2_degrees":19.846379,"angles":[{"angle_degrees":141.434899,"arc_sweep_degrees":141.434899,"ray_endpoints":[[80.9305,376.3926],[95.644,159.4191]],"vertex":[125.55,278.16]},{"angle_degrees":19.846379,"arc_sweep_degrees":19.846379,"ray_endpoints":[[393.2336,337.1437],[380.2762,376.6581]],"vertex":[339.45,278.16]}],"canvas_size":[465,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1950","image_path":"images/angle_estimation_1950.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1950_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1950_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_1950_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1950_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1950_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1950}
-{"angle_1_degrees":76.568549,"angle_2_degrees":21.509817,"angles":[{"angle_degrees":76.568549,"arc_sweep_degrees":76.568549,"ray_endpoints":[[62.1797,206.7831],[192.9065,170.746]],"vertex":[123.66,273.6]},{"angle_degrees":21.509817,"arc_sweep_degrees":21.509817,"ray_endpoints":[[388.788,366.734],[354.2888,402.4377]],"vertex":[334.34,273.6]}],"canvas_size":[458,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1951","image_path":"images/angle_estimation_1951.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1951_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1951_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1951_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1951_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1951_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1951}
-{"angle_1_degrees":127.036531,"angle_2_degrees":65.561068,"angles":[{"angle_degrees":127.036531,"arc_sweep_degrees":127.036531,"ray_endpoints":[[207.0132,306.1617],[34.7635,317.5356]],"vertex":[133.65,269.04]},{"angle_degrees":65.561068,"arc_sweep_degrees":65.561068,"ray_endpoints":[[422.7686,333.8538],[320.4663,369.7156]],"vertex":[361.35,269.04]}],"canvas_size":[495,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1952","image_path":"images/angle_estimation_1952.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1952_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1952_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1952_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1952_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1952_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1952}
-{"angle_1_degrees":90.506171,"angle_2_degrees":143.844111,"angles":[{"angle_degrees":90.506171,"arc_sweep_degrees":90.506171,"ray_endpoints":[[47.7705,313.5979],[74.1931,155.3473]],"vertex":[133.92,266.19]},{"angle_degrees":143.844111,"arc_sweep_degrees":143.844111,"ray_endpoints":[[459.537,261.8333],[270.8797,339.2958]],"vertex":[362.08,266.19]}],"canvas_size":[496,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1953","image_path":"images/angle_estimation_1953.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1953_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1953_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1953_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1953_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1953_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1953}
-{"angle_1_degrees":68.436968,"angle_2_degrees":26.89758,"angles":[{"angle_degrees":68.436968,"arc_sweep_degrees":68.436968,"ray_endpoints":[[46.0245,290.1048],[59.1261,159.3024]],"vertex":[132.3,273.03]},{"angle_degrees":26.89758,"arc_sweep_degrees":26.89758,"ray_endpoints":[[374.9578,384.2438],[321.2828,384.6005]],"vertex":[357.7,273.03]}],"canvas_size":[490,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1954","image_path":"images/angle_estimation_1954.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1954_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1954_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1954_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1954_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1954_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1954}
-{"angle_1_degrees":155.10007,"angle_2_degrees":37.755845,"angles":[{"angle_degrees":155.10007,"arc_sweep_degrees":155.10007,"ray_endpoints":[[92.0724,343.1881],[139.8935,135.4575]],"vertex":[134.19,262.2]},{"angle_degrees":37.755845,"arc_sweep_degrees":37.755845,"ray_endpoints":[[438.1963,336.0441],[380.3146,389.3882]],"vertex":[362.81,262.2]}],"canvas_size":[497,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1955","image_path":"images/angle_estimation_1955.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1955_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1955_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_1955_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1955_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1955_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1955}
-{"canvas_size":[495,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1956","image_path":"images/angle_estimation_1956.png","interior_angles_degrees":[90.427553,24.999945,64.572502],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1956_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1956_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1956_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1956_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1956_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1956,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.3397,340.764],[440.0,340.764],[55.0,161.236]]}
-{"canvas_size":[481,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1957","image_path":"images/angle_estimation_1957.png","interior_angles_degrees":[91.043578,44.900682,44.05574],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1957_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1957_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1957_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1957_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1957_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1957,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[64.015,430.0],[423.6338,430.0],[57.3662,65.0]]}
-{"canvas_size":[492,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1958","image_path":"images/angle_estimation_1958.png","interior_angles_degrees":[89.87846,52.972946,37.148594],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1958_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1958_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1958_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1958_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1958_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1958,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[98.4989,455.0],[393.5011,455.0],[99.3262,65.0]]}
-{"canvas_size":[492,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1959","image_path":"images/angle_estimation_1959.png","interior_angles_degrees":[88.975995,54.799819,36.224186],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1959_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1959_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1959_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1959_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1959_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1959,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[106.0412,452.0],[385.9588,452.0],[112.9585,65.0]]}
-{"canvas_size":[467,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1960","image_path":"images/angle_estimation_1960.png","interior_angles_degrees":[89.628758,49.852513,40.51873],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1960_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1960_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1960_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1960_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1960_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1960,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[65.6299,460.0],[401.3701,460.0],[68.1893,65.0]]}
-{"angle_degrees":73.521323,"arc_sweep_degrees":73.521323,"canvas_size":[492,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1961","image_path":"images/angle_estimation_1961.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1961_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1961_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1961_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"106","question_id":"angle_estimation_1961_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1961_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[386.9031,255.2262],[263.9246,343.2648]],"scene_type":"single","seed":1961,"vertex":[246.0,238.5]}
-{"angle_degrees":42.527088,"arc_sweep_degrees":42.527088,"canvas_size":[498,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1962","image_path":"images/angle_estimation_1962.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1962_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_1962_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1962_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"137","question_id":"angle_estimation_1962_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1962_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[407.4623,206.4926],[355.8249,303.494]],"scene_type":"single","seed":1962,"vertex":[249.0,242.5]}
-{"angle_degrees":69.616016,"arc_sweep_degrees":69.616016,"canvas_size":[483,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1963","image_path":"images/angle_estimation_1963.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1963_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1963_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1963_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"110","question_id":"angle_estimation_1963_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1963_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[363.454,328.001],[224.3899,376.8663]],"scene_type":"single","seed":1963,"vertex":[241.5,261.0]}
-{"angle_degrees":70.463002,"arc_sweep_degrees":70.463002,"canvas_size":[490,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1964","image_path":"images/angle_estimation_1964.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1964_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1964_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1964_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"110","question_id":"angle_estimation_1964_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1964_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[375.4476,339.3261],[199.8066,391.6913]],"scene_type":"single","seed":1964,"vertex":[245.0,243.0]}
-{"angle_degrees":60.000005,"arc_sweep_degrees":60.000005,"canvas_size":[490,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1965","image_path":"images/angle_estimation_1965.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1965_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1965_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1965_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_1965_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1965_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[87.5013,185.173],[232.292,110.3198]],"scene_type":"single","seed":1965,"vertex":[245.0,259.0]}
-{"angle_degrees":261.574373,"arc_sweep_degrees":261.574373,"canvas_size":[499,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1966","image_path":"images/angle_estimation_1966.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1966_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_1966_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1966_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"82","question_id":"angle_estimation_1966_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1966_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[220.2317,87.1982],[138.8324,276.9924]],"scene_type":"single","seed":1966,"vertex":[249.5,238.0]}
-{"angle_degrees":14.375819,"arc_sweep_degrees":14.375819,"canvas_size":[486,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1967","image_path":"images/angle_estimation_1967.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1967_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_1967_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1967_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"166","question_id":"angle_estimation_1967_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1967_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[130.4805,334.6655],[141.3982,291.2765]],"scene_type":"single","seed":1967,"vertex":[243.0,247.0]}
-{"angle_degrees":27.698906,"arc_sweep_degrees":27.698906,"canvas_size":[492,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1968","image_path":"images/angle_estimation_1968.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1968_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_1968_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1968_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"152","question_id":"angle_estimation_1968_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1968_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[202.8952,89.9062],[269.0523,131.4056]],"scene_type":"single","seed":1968,"vertex":[246.0,241.5]}
-{"angle_1_degrees":157.327184,"angle_2_degrees":69.926353,"angles":[{"angle_degrees":157.327184,"arc_sweep_degrees":157.327184,"ray_endpoints":[[176.0228,219.715],[92.9116,413.4382]],"vertex":[128.25,281.58]},{"angle_degrees":69.926353,"arc_sweep_degrees":69.926353,"ray_endpoints":[[396.6957,379.1671],[262.3464,372.6552]],"vertex":[346.75,281.58]}],"canvas_size":[475,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1969","image_path":"images/angle_estimation_1969.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1969_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1969_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1969_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1969_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1969_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1969}
-{"angle_1_degrees":35.352737,"angle_2_degrees":65.887198,"angles":[{"angle_degrees":35.352737,"arc_sweep_degrees":35.352737,"ray_endpoints":[[179.4587,364.7073],[118.9661,413.0034]],"vertex":[123.66,279.87]},{"angle_degrees":65.887198,"arc_sweep_degrees":65.887198,"ray_endpoints":[[254.0871,255.9341],[316.0562,141.0896]],"vertex":[334.34,279.87]}],"canvas_size":[458,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1970","image_path":"images/angle_estimation_1970.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1970_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1970_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1970_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1970_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1970_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1970}
-{"angle_1_degrees":44.206736,"angle_2_degrees":128.044279,"angles":[{"angle_degrees":44.206736,"arc_sweep_degrees":44.206736,"ray_endpoints":[[187.1413,335.0806],[112.7279,398.06]],"vertex":[124.74,258.78]},{"angle_degrees":128.044279,"arc_sweep_degrees":128.044279,"ray_endpoints":[[448.7717,232.8623],[290.6503,358.9181]],"vertex":[337.26,258.78]}],"canvas_size":[462,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1971","image_path":"images/angle_estimation_1971.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1971_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1971_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1971_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1971_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1971_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1971}
-{"angle_1_degrees":79.55871,"angle_2_degrees":57.761028,"angles":[{"angle_degrees":79.55871,"arc_sweep_degrees":79.55871,"ray_endpoints":[[152.8201,364.8575],[36.5864,328.5632]],"vertex":[132.3,284.43]},{"angle_degrees":57.761028,"arc_sweep_degrees":57.761028,"ray_endpoints":[[278.2071,291.5109],[292.215,198.5595]],"vertex":[357.7,284.43]}],"canvas_size":[490,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1972","image_path":"images/angle_estimation_1972.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1972_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1972_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1972_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1972_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1972_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1972}
-{"angle_1_degrees":76.135538,"angle_2_degrees":14.624778,"angles":[{"angle_degrees":76.135538,"arc_sweep_degrees":76.135538,"ray_endpoints":[[208.7039,296.017],[114.2817,405.7378]],"vertex":[124.47,268.47]},{"angle_degrees":14.624778,"arc_sweep_degrees":14.624778,"ray_endpoints":[[393.271,360.3252],[377.0202,400.251]],"vertex":[336.53,268.47]}],"canvas_size":[461,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1973","image_path":"images/angle_estimation_1973.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1973_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1973_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1973_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1973_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1973_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1973}
-{"angle_1_degrees":140.407903,"angle_2_degrees":37.208927,"angles":[{"angle_degrees":140.407903,"arc_sweep_degrees":140.407903,"ray_endpoints":[[194.1836,241.6605],[68.8344,395.3064]],"vertex":[121.5,277.59]},{"angle_degrees":37.208927,"arc_sweep_degrees":37.208927,"ray_endpoints":[[360.0811,354.031],[294.8674,405.2335]],"vertex":[328.5,277.59]}],"canvas_size":[450,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1974","image_path":"images/angle_estimation_1974.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1974_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1974_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1974_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1974_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1974_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1974}
-{"angle_1_degrees":15.132364,"angle_2_degrees":24.268601,"angles":[{"angle_degrees":15.132364,"arc_sweep_degrees":15.132364,"ray_endpoints":[[113.2591,161.1191],[141.2206,149.9983]],"vertex":[132.3,262.77]},{"angle_degrees":24.268601,"arc_sweep_degrees":24.268601,"ray_endpoints":[[284.3529,209.4101],[300.1856,161.9184]],"vertex":[357.7,262.77]}],"canvas_size":[490,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1975","image_path":"images/angle_estimation_1975.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1975_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1975_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1975_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1975_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1975_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1975}
-{"canvas_size":[450,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1976","image_path":"images/angle_estimation_1976.png","interior_angles_degrees":[136.978491,24.910266,18.111243],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1976_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1976_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1976_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1976_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1976_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1976,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[224.1962,339.9484],[395.0,339.9484],[55.0,182.0516]]}
-{"canvas_size":[479,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1977","image_path":"images/angle_estimation_1977.png","interior_angles_degrees":[122.33867,25.407718,32.253612],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1977_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1977_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1977_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1977_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1977_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1977,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[165.9699,335.1375],[424.0,335.1375],[55.0,159.8625]]}
-{"canvas_size":[454,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1978","image_path":"images/angle_estimation_1978.png","interior_angles_degrees":[139.382553,22.823537,17.79391],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1978_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1978_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1978_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1978_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1978_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1978,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[223.8027,324.3853],[399.0,324.3853],[55.0,179.6147]]}
-{"canvas_size":[455,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1979","image_path":"images/angle_estimation_1979.png","interior_angles_degrees":[98.788788,23.592749,57.618464],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1979_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1979_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1979_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1979_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1979_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1979,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[78.2955,331.8374],[400.0,331.8374],[55.0,181.1626]]}
-{"canvas_size":[450,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1980","image_path":"images/angle_estimation_1980.png","interior_angles_degrees":[136.229381,15.573466,28.197153],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1980_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1980_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1980_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1980_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1980_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1980,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[153.9163,299.38],[395.0,299.38],[55.0,204.62]]}
-{"angle_degrees":196.111055,"arc_sweep_degrees":196.111055,"canvas_size":[461,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1981","image_path":"images/angle_estimation_1981.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1981_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_1981_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1981_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"16","question_id":"angle_estimation_1981_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1981_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[342.1276,369.2976],[163.5117,94.3185]],"scene_type":"single","seed":1981,"vertex":[230.5,240.0]}
-{"angle_degrees":312.012469,"arc_sweep_degrees":312.012469,"canvas_size":[500,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1982","image_path":"images/angle_estimation_1982.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1982_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_1982_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1982_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"132","question_id":"angle_estimation_1982_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1982_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[122.4121,243.5645],[125.4333,365.6585]],"scene_type":"single","seed":1982,"vertex":[250.0,262.0]}
-{"angle_degrees":237.580305,"arc_sweep_degrees":237.580305,"canvas_size":[497,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1983","image_path":"images/angle_estimation_1983.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1983_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_1983_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1983_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"58","question_id":"angle_estimation_1983_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1983_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[125.8726,269.5471],[357.5205,346.7183]],"scene_type":"single","seed":1983,"vertex":[248.5,240.5]}
-{"angle_degrees":114.067633,"arc_sweep_degrees":114.067633,"canvas_size":[473,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1984","image_path":"images/angle_estimation_1984.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1984_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_1984_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1984_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"66","question_id":"angle_estimation_1984_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1984_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[295.6249,94.7709],[338.5172,353.1595]],"scene_type":"single","seed":1984,"vertex":[236.5,252.5]}
-{"angle_degrees":60.000045,"arc_sweep_degrees":60.000045,"canvas_size":[475,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_1985","image_path":"images/angle_estimation_1985.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1985_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1985_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1985_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_1985_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1985_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[101.6317,153.5827],[246.6884,142.1532]],"scene_type":"single","seed":1985,"vertex":[237.5,248.5]}
-{"angle_degrees":276.246923,"arc_sweep_degrees":276.246923,"canvas_size":[466,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1986","image_path":"images/angle_estimation_1986.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1986_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"270","question_id":"angle_estimation_1986_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1986_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"96","question_id":"angle_estimation_1986_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1986_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[128.5719,357.8653],[315.2628,361.1352]],"scene_type":"single","seed":1986,"vertex":[233.0,256.0]}
-{"angle_degrees":215.651787,"arc_sweep_degrees":215.651787,"canvas_size":[480,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1987","image_path":"images/angle_estimation_1987.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1987_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_1987_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1987_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"36","question_id":"angle_estimation_1987_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1987_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[342.0842,148.8945],[101.475,257.4321]],"scene_type":"single","seed":1987,"vertex":[240.0,241.5]}
-{"angle_degrees":195.210483,"arc_sweep_degrees":195.210483,"canvas_size":[485,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_1988","image_path":"images/angle_estimation_1988.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1988_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_1988_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1988_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"15","question_id":"angle_estimation_1988_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1988_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[374.0791,225.5894],[127.6911,222.8389]],"scene_type":"single","seed":1988,"vertex":[242.5,240.5]}
-{"angle_1_degrees":54.501211,"angle_2_degrees":32.325798,"angles":[{"angle_degrees":54.501211,"arc_sweep_degrees":54.501211,"ray_endpoints":[[60.3962,315.662],[30.072,230.3983]],"vertex":[131.22,262.2]},{"angle_degrees":32.325798,"arc_sweep_degrees":32.325798,"ray_endpoints":[[432.3045,311.6509],[401.0707,360.8343]],"vertex":[354.78,262.2]}],"canvas_size":[486,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1989","image_path":"images/angle_estimation_1989.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1989_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1989_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1989_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1989_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1989_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1989}
-{"angle_1_degrees":118.650474,"angle_2_degrees":70.538487,"angles":[{"angle_degrees":118.650474,"arc_sweep_degrees":118.650474,"ray_endpoints":[[203.7584,294.9289],[20.0748,364.7823]],"vertex":[121.5,268.47]},{"angle_degrees":70.538487,"arc_sweep_degrees":70.538487,"ray_endpoints":[[261.0,212.7046],[366.4028,164.8982]],"vertex":[328.5,268.47]}],"canvas_size":[450,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1990","image_path":"images/angle_estimation_1990.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1990_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1990_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1990_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1990_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1990_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1990}
-{"angle_1_degrees":67.979687,"angle_2_degrees":151.115895,"angles":[{"angle_degrees":67.979687,"arc_sweep_degrees":67.979687,"ray_endpoints":[[170.5901,369.45],[26.9303,372.5899]],"vertex":[131.22,271.89]},{"angle_degrees":151.115895,"arc_sweep_degrees":151.115895,"ray_endpoints":[[289.8851,352.4266],[378.6977,135.9285]],"vertex":[354.78,271.89]}],"canvas_size":[486,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1991","image_path":"images/angle_estimation_1991.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1991_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1991_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1991_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1991_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1991_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1991}
-{"angle_1_degrees":87.024358,"angle_2_degrees":12.312016,"angles":[{"angle_degrees":87.024358,"arc_sweep_degrees":87.024358,"ray_endpoints":[[78.2285,361.0411],[21.0106,211.1098]],"vertex":[133.65,278.73]},{"angle_degrees":12.312016,"arc_sweep_degrees":12.312016,"ray_endpoints":[[338.4738,186.7547],[357.1809,134.4579]],"vertex":[361.35,278.73]}],"canvas_size":[495,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1992","image_path":"images/angle_estimation_1992.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1992_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1992_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1992_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1992_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1992_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1992}
-{"angle_1_degrees":153.139388,"angle_2_degrees":34.695461,"angles":[{"angle_degrees":153.139388,"arc_sweep_degrees":153.139388,"ray_endpoints":[[110.573,374.9655],[96.8587,162.0673]],"vertex":[129.6,278.73]},{"angle_degrees":34.695461,"arc_sweep_degrees":34.695461,"ray_endpoints":[[303.2968,206.7083],[354.1418,136.8032]],"vertex":[350.4,278.73]}],"canvas_size":[480,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1993","image_path":"images/angle_estimation_1993.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1993_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1993_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_1993_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1993_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1993_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1993}
-{"angle_1_degrees":112.843544,"angle_2_degrees":122.990021,"angles":[{"angle_degrees":112.843544,"arc_sweep_degrees":112.843544,"ray_endpoints":[[85.3282,350.7312],[61.6042,184.3664]],"vertex":[129.6,272.46]},{"angle_degrees":122.990021,"arc_sweep_degrees":122.990021,"ray_endpoints":[[428.5729,238.5645],[327.1206,410.8505]],"vertex":[350.4,272.46]}],"canvas_size":[480,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1994","image_path":"images/angle_estimation_1994.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1994_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1994_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1994_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1994_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1994_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1994}
-{"angle_1_degrees":36.66065,"angle_2_degrees":50.108079,"angles":[{"angle_degrees":36.66065,"arc_sweep_degrees":36.66065,"ray_endpoints":[[198.3614,328.3934],[158.4737,382.2272]],"vertex":[133.92,273.03]},{"angle_degrees":50.108079,"arc_sweep_degrees":50.108079,"ray_endpoints":[[390.5042,188.4494],[473.7365,229.46]],"vertex":[362.08,273.03]}],"canvas_size":[496,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_1995","image_path":"images/angle_estimation_1995.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1995_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1995_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1995_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1995_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1995_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1995}
-{"canvas_size":[486,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1996","image_path":"images/angle_estimation_1996.png","interior_angles_degrees":[55.821814,62.333276,61.84491],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1996_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1996_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_1996_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1996_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1996_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1996,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,413.7352],[431.0,413.7352],[267.1808,101.2648]]}
-{"canvas_size":[499,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1997","image_path":"images/angle_estimation_1997.png","interior_angles_degrees":[46.173319,57.130403,76.696278],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1997_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1997_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1997_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1997_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1997_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1997,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,368.6056],[444.0,368.6056],[287.4888,126.3944]]}
-{"canvas_size":[487,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1998","image_path":"images/angle_estimation_1998.png","interior_angles_degrees":[66.51461,43.586571,69.898819],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1998_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1998_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1998_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1998_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1998_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1998,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,372.927],[432.0,372.927],[165.3019,119.073]]}
-{"canvas_size":[457,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_1999","image_path":"images/angle_estimation_1999.png","interior_angles_degrees":[60.689104,74.466228,44.844668],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1999_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1999_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_1999_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1999_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1999_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1999,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[72.3747,437.0],[384.6253,437.0],[281.2244,65.0]]}
-{"canvas_size":[478,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2000","image_path":"images/angle_estimation_2000.png","interior_angles_degrees":[57.657608,50.912091,71.430301],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2000_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2000_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2000_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2000_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2000_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2000,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,368.7883],[423.0,368.7883],[216.2004,114.2117]]}
-{"angle_degrees":133.233552,"arc_sweep_degrees":133.233552,"canvas_size":[487,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2001","image_path":"images/angle_estimation_2001.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2001_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2001_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2001_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"47","question_id":"angle_estimation_2001_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2001_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[364.9998,198.4051],[181.7108,367.6455]],"scene_type":"single","seed":2001,"vertex":[243.5,237.5]}
-{"angle_degrees":201.779446,"arc_sweep_degrees":201.779446,"canvas_size":[496,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2002","image_path":"images/angle_estimation_2002.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2002_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_2002_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2002_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"22","question_id":"angle_estimation_2002_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2002_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[110.2432,139.058],[333.66,369.8746]],"scene_type":"single","seed":2002,"vertex":[248.0,237.0]}
-{"angle_degrees":338.076822,"arc_sweep_degrees":338.076822,"canvas_size":[457,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2003","image_path":"images/angle_estimation_2003.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2003_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_2003_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2003_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"158","question_id":"angle_estimation_2003_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2003_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[149.7263,120.6196],[133.0191,183.5111]],"scene_type":"single","seed":2003,"vertex":[228.5,259.5]}
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-{"angle_degrees":307.300422,"arc_sweep_degrees":307.300422,"canvas_size":[459,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2008","image_path":"images/angle_estimation_2008.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2008_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_2008_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2008_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"127","question_id":"angle_estimation_2008_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2008_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[125.1278,332.3066],[228.3926,404.7509]],"scene_type":"single","seed":2008,"vertex":[229.5,254.0]}
-{"angle_1_degrees":124.740841,"angle_2_degrees":64.630727,"angles":[{"angle_degrees":124.740841,"arc_sweep_degrees":124.740841,"ray_endpoints":[[20.0741,260.614],[217.4145,187.133]],"vertex":[126.09,279.3]},{"angle_degrees":64.630727,"arc_sweep_degrees":64.630727,"ray_endpoints":[[441.8381,239.369],[432.0487,364.4224]],"vertex":[340.91,279.3]}],"canvas_size":[467,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2009","image_path":"images/angle_estimation_2009.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2009_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2009_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2009_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2009_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2009_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2009}
-{"angle_1_degrees":80.088878,"angle_2_degrees":148.181053,"angles":[{"angle_degrees":80.088878,"arc_sweep_degrees":80.088878,"ray_endpoints":[[203.8699,355.7489],[39.5163,391.8148]],"vertex":[123.66,274.17]},{"angle_degrees":148.181053,"arc_sweep_degrees":148.181053,"ray_endpoints":[[338.7507,375.3896],[268.9836,178.4116]],"vertex":[334.34,274.17]}],"canvas_size":[458,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2010","image_path":"images/angle_estimation_2010.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2010_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2010_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2010_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2010_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2010_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2010}
-{"angle_1_degrees":18.977472,"angle_2_degrees":67.503739,"angles":[{"angle_degrees":18.977472,"arc_sweep_degrees":18.977472,"ray_endpoints":[[145.5268,361.2756],[112.7502,388.1541]],"vertex":[130.41,275.88]},{"angle_degrees":67.503739,"arc_sweep_degrees":67.503739,"ray_endpoints":[[424.1313,248.7077],[425.8954,353.687]],"vertex":[352.59,275.88]}],"canvas_size":[483,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2011","image_path":"images/angle_estimation_2011.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2011_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2011_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2011_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2011_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2011_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2011}
-{"angle_1_degrees":13.833131,"angle_2_degrees":155.188602,"angles":[{"angle_degrees":13.833131,"arc_sweep_degrees":13.833131,"ray_endpoints":[[44.5802,201.7746],[48.5186,161.8399]],"vertex":[123.12,273.6]},{"angle_degrees":155.188602,"arc_sweep_degrees":155.188602,"ray_endpoints":[[292.2434,169.5939],[434.8567,371.554]],"vertex":[332.88,273.6]}],"canvas_size":[456,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2012","image_path":"images/angle_estimation_2012.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2012_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2012_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_2012_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2012_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2012_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2012}
-{"angle_1_degrees":147.042656,"angle_2_degrees":138.792053,"angles":[{"angle_degrees":147.042656,"arc_sweep_degrees":147.042656,"ray_endpoints":[[44.6017,285.7371],[215.9023,150.3909]],"vertex":[128.79,258.21]},{"angle_degrees":138.792053,"arc_sweep_degrees":138.792053,"ray_endpoints":[[448.2657,224.1062],[280.8326,375.0501]],"vertex":[348.21,258.21]}],"canvas_size":[477,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2013","image_path":"images/angle_estimation_2013.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2013_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2013_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2013_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2013_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2013_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2013}
-{"angle_1_degrees":63.851179,"angle_2_degrees":33.801705,"angles":[{"angle_degrees":63.851179,"arc_sweep_degrees":63.851179,"ray_endpoints":[[76.5253,341.4151],[16.1193,253.7722]],"vertex":[126.9,277.59]},{"angle_degrees":33.801705,"arc_sweep_degrees":33.801705,"ray_endpoints":[[310.3702,207.1493],[364.3541,141.5548]],"vertex":[343.1,277.59]}],"canvas_size":[470,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2014","image_path":"images/angle_estimation_2014.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2014_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2014_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2014_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2014_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2014_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2014}
-{"angle_1_degrees":95.940905,"angle_2_degrees":83.271346,"angles":[{"angle_degrees":95.940905,"arc_sweep_degrees":95.940905,"ray_endpoints":[[75.4285,189.544],[233.8184,190.7599]],"vertex":[133.92,258.78]},{"angle_degrees":83.271346,"arc_sweep_degrees":83.271346,"ray_endpoints":[[441.7521,335.169],[293.0145,350.2131]],"vertex":[362.08,258.78]}],"canvas_size":[496,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2015","image_path":"images/angle_estimation_2015.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2015_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2015_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2015_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2015_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2015_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2015}
-{"canvas_size":[497,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2016","image_path":"images/angle_estimation_2016.png","interior_angles_degrees":[90.115563,39.95377,49.930667],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2016_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2016_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2016_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2016_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2016_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2016,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.6539,416.0999],[442.0,416.0999],[55.0,91.9001]]}
-{"canvas_size":[462,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2017","image_path":"images/angle_estimation_2017.png","interior_angles_degrees":[89.606619,42.960622,47.432759],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2017_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2017_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2017_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2017_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2017_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2017,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,416.8554],[407.0,416.8554],[57.2363,91.1446]]}
-{"canvas_size":[484,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2018","image_path":"images/angle_estimation_2018.png","interior_angles_degrees":[90.280491,48.253672,41.465837],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2018_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2018_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2018_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2018_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2018_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2018,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[84.0096,423.0],[401.743,423.0],[82.257,65.0]]}
-{"canvas_size":[459,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2019","image_path":"images/angle_estimation_2019.png","interior_angles_degrees":[89.993646,38.241679,51.764675],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2019_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2019_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2019_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2019_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2019_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2019,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,402.5116],[404.0,402.5116],[55.0305,127.4884]]}
-{"canvas_size":[489,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2020","image_path":"images/angle_estimation_2020.png","interior_angles_degrees":[90.590656,53.207611,36.201734],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2020_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2020_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2020_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2020_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2020_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2020,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[103.046,454.0],[389.9643,454.0],[99.0357,65.0]]}
-{"angle_degrees":194.997512,"arc_sweep_degrees":194.997512,"canvas_size":[475,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2021","image_path":"images/angle_estimation_2021.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2021_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_2021_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2021_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"15","question_id":"angle_estimation_2021_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2021_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[372.9857,234.3456],[95.0588,243.272]],"scene_type":"single","seed":2021,"vertex":[237.5,257.0]}
-{"angle_degrees":160.486017,"arc_sweep_degrees":160.486017,"canvas_size":[484,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2022","image_path":"images/angle_estimation_2022.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2022_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_2022_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2022_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"20","question_id":"angle_estimation_2022_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2022_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[271.4642,108.6215],[256.01,353.7403]],"scene_type":"single","seed":2022,"vertex":[242.0,246.0]}
-{"angle_degrees":340.433105,"arc_sweep_degrees":340.433105,"canvas_size":[474,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2023","image_path":"images/angle_estimation_2023.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2023_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_2023_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2023_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"160","question_id":"angle_estimation_2023_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2023_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[86.1831,186.8401],[113.4642,246.0107]],"scene_type":"single","seed":2023,"vertex":[237.0,259.0]}
-{"angle_degrees":257.609863,"arc_sweep_degrees":257.609863,"canvas_size":[480,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2024","image_path":"images/angle_estimation_2024.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2024_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_2024_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2024_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"78","question_id":"angle_estimation_2024_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2024_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[121.5939,317.5504],[351.418,354.8622]],"scene_type":"single","seed":2024,"vertex":[240.0,242.5]}
-{"angle_degrees":179.999995,"arc_sweep_degrees":179.999995,"canvas_size":[485,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2025","image_path":"images/angle_estimation_2025.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2025_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_2025_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2025_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_2025_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2025_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[78.4411,208.9633],[401.5808,269.1101]],"scene_type":"single","seed":2025,"vertex":[242.5,239.5]}
-{"angle_degrees":302.400203,"arc_sweep_degrees":302.400203,"canvas_size":[457,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2026","image_path":"images/angle_estimation_2026.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2026_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_2026_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2026_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"122","question_id":"angle_estimation_2026_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2026_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[123.7187,169.8303],[118.1371,289.8707]],"scene_type":"single","seed":2026,"vertex":[228.5,247.0]}
-{"angle_degrees":37.057427,"arc_sweep_degrees":37.057427,"canvas_size":[456,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2027","image_path":"images/angle_estimation_2027.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2027_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2027_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2027_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"143","question_id":"angle_estimation_2027_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2027_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[116.9553,139.4414],[207.6069,100.3155]],"scene_type":"single","seed":2027,"vertex":[228.0,251.5]}
-{"angle_degrees":250.280668,"arc_sweep_degrees":250.280668,"canvas_size":[472,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2028","image_path":"images/angle_estimation_2028.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2028_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_2028_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2028_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"70","question_id":"angle_estimation_2028_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2028_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[311.0248,364.9588],[311.6189,148.4047]],"scene_type":"single","seed":2028,"vertex":[236.0,242.5]}
-{"angle_1_degrees":87.414584,"angle_2_degrees":157.811365,"angles":[{"angle_degrees":87.414584,"arc_sweep_degrees":87.414584,"ray_endpoints":[[29.9977,260.8687],[145.8052,129.8657]],"vertex":[133.92,274.17]},{"angle_degrees":157.811365,"arc_sweep_degrees":157.811365,"ray_endpoints":[[449.2366,233.4215],[282.9763,359.7326]],"vertex":[362.08,274.17]}],"canvas_size":[496,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2029","image_path":"images/angle_estimation_2029.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2029_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2029_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2029_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2029_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2029_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2029}
-{"angle_1_degrees":69.481998,"angle_2_degrees":17.117366,"angles":[{"angle_degrees":69.481998,"arc_sweep_degrees":69.481998,"ray_endpoints":[[214.7203,334.9721],[88.5794,404.2874]],"vertex":[126.36,270.18]},{"angle_degrees":17.117366,"arc_sweep_degrees":17.117366,"ray_endpoints":[[319.5284,344.7931],[270.39,377.3202]],"vertex":[341.64,270.18]}],"canvas_size":[468,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2030","image_path":"images/angle_estimation_2030.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2030_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2030_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2030_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2030_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2030_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2030}
-{"angle_1_degrees":98.865036,"angle_2_degrees":70.436036,"angles":[{"angle_degrees":98.865036,"arc_sweep_degrees":98.865036,"ray_endpoints":[[39.4895,212.3144],[208.6144,163.1436]],"vertex":[132.84,262.77]},{"angle_degrees":70.436036,"arc_sweep_degrees":70.436036,"ray_endpoints":[[465.4873,292.17],[368.8763,398.068]],"vertex":[359.16,262.77]}],"canvas_size":[492,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2031","image_path":"images/angle_estimation_2031.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2031_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2031_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2031_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2031_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2031_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2031}
-{"angle_1_degrees":117.201918,"angle_2_degrees":155.63566,"angles":[{"angle_degrees":117.201918,"arc_sweep_degrees":117.201918,"ray_endpoints":[[13.033,303.3094],[148.4737,170.9854]],"vertex":[122.04,277.59]},{"angle_degrees":155.63566,"arc_sweep_degrees":155.63566,"ray_endpoints":[[278.8398,341.7761],[362.1573,150.0741]],"vertex":[329.96,277.59]}],"canvas_size":[452,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2032","image_path":"images/angle_estimation_2032.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2032_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2032_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2032_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2032_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2032_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2032}
-{"angle_1_degrees":68.061362,"angle_2_degrees":34.645417,"angles":[{"angle_degrees":68.061362,"arc_sweep_degrees":68.061362,"ray_endpoints":[[176.1994,364.0936],[53.591,340.7711]],"vertex":[128.52,261.06]},{"angle_degrees":34.645417,"arc_sweep_degrees":34.645417,"ray_endpoints":[[362.1204,336.1575],[296.4878,377.6996]],"vertex":[347.48,261.06]}],"canvas_size":[476,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2033","image_path":"images/angle_estimation_2033.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2033_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2033_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2033_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2033_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2033_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2033}
-{"angle_1_degrees":41.278375,"angle_2_degrees":139.285497,"angles":[{"angle_degrees":41.278375,"arc_sweep_degrees":41.278375,"ray_endpoints":[[146.7544,342.2323],[74.1222,384.5109]],"vertex":[122.58,269.61]},{"angle_degrees":139.285497,"arc_sweep_degrees":139.285497,"ray_endpoints":[[399.0015,235.8106],[283.4499,384.2043]],"vertex":[331.42,269.61]}],"canvas_size":[454,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2034","image_path":"images/angle_estimation_2034.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2034_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2034_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2034_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2034_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2034_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2034}
-{"angle_1_degrees":37.192009,"angle_2_degrees":21.238651,"angles":[{"angle_degrees":37.192009,"arc_sweep_degrees":37.192009,"ray_endpoints":[[55.487,222.1613],[103.5395,170.0147]],"vertex":[126.63,285.0]},{"angle_degrees":21.238651,"arc_sweep_degrees":21.238651,"ray_endpoints":[[374.6274,212.8148],[441.9014,186.5642]],"vertex":[342.37,285.0]}],"canvas_size":[469,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2035","image_path":"images/angle_estimation_2035.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2035_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2035_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2035_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2035_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2035_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2035}
-{"canvas_size":[453,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2036","image_path":"images/angle_estimation_2036.png","interior_angles_degrees":[134.047297,15.264594,30.688109],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2036_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2036_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2036_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2036_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2036_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2036,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[145.5441,305.8032],[398.0,305.8032],[55.0,212.1968]]}
-{"canvas_size":[466,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2037","image_path":"images/angle_estimation_2037.png","interior_angles_degrees":[100.362088,32.025933,47.611979],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2037_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2037_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2037_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2037_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2037_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2037,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[95.7167,368.8388],[411.0,368.8388],[55.0,146.1612]]}
-{"canvas_size":[455,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2038","image_path":"images/angle_estimation_2038.png","interior_angles_degrees":[139.841413,21.2066,18.951987],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2038_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2038_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2038_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2038_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2038_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2038,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[213.6372,321.9312],[400.0,321.9312],[55.0,188.0688]]}
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-{"angle_degrees":214.873472,"arc_sweep_degrees":214.873472,"canvas_size":[499,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2042","image_path":"images/angle_estimation_2042.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2042_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_2042_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2042_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"35","question_id":"angle_estimation_2042_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2042_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[359.4121,328.7624],[213.0302,139.4413]],"scene_type":"single","seed":2042,"vertex":[249.5,247.5]}
-{"angle_degrees":235.316835,"arc_sweep_degrees":235.316835,"canvas_size":[480,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2043","image_path":"images/angle_estimation_2043.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2043_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_2043_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2043_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"55","question_id":"angle_estimation_2043_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2043_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[97.6819,198.3524],[269.8793,391.7294]],"scene_type":"single","seed":2043,"vertex":[240.0,256.5]}
-{"angle_degrees":120.006622,"arc_sweep_degrees":120.006622,"canvas_size":[457,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2044","image_path":"images/angle_estimation_2044.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2044_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_2044_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2044_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"60","question_id":"angle_estimation_2044_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2044_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[77.4787,261.5444],[307.5421,121.4195]],"scene_type":"single","seed":2044,"vertex":[228.5,260.5]}
-{"angle_degrees":30.000007,"arc_sweep_degrees":30.000007,"canvas_size":[458,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2045","image_path":"images/angle_estimation_2045.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2045_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2045_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2045_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_2045_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2045_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[366.9369,346.6832],[289.6642,380.2581]],"scene_type":"single","seed":2045,"vertex":[229.0,250.0]}
-{"angle_degrees":227.12738,"arc_sweep_degrees":227.12738,"canvas_size":[485,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2046","image_path":"images/angle_estimation_2046.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2046_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2046_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2046_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"47","question_id":"angle_estimation_2046_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2046_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[346.8532,350.6742],[245.0318,132.6489]],"scene_type":"single","seed":2046,"vertex":[242.5,249.5]}
-{"angle_degrees":170.681929,"arc_sweep_degrees":170.681929,"canvas_size":[490,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2047","image_path":"images/angle_estimation_2047.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2047_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_2047_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2047_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"9","question_id":"angle_estimation_2047_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2047_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[304.7331,110.969],[211.8316,368.9826]],"scene_type":"single","seed":2047,"vertex":[245.0,244.0]}
-{"angle_degrees":186.511394,"arc_sweep_degrees":186.511394,"canvas_size":[468,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2048","image_path":"images/angle_estimation_2048.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2048_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_2048_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2048_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"7","question_id":"angle_estimation_2048_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2048_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[322.7728,117.2483],[140.4839,364.7798]],"scene_type":"single","seed":2048,"vertex":[234.0,252.5]}
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-{"angle_1_degrees":134.121707,"angle_2_degrees":50.033333,"angles":[{"angle_degrees":134.121707,"arc_sweep_degrees":134.121707,"ray_endpoints":[[36.6742,319.9218],[160.6134,164.4088]],"vertex":[131.49,268.47]},{"angle_degrees":50.033333,"arc_sweep_degrees":50.033333,"ray_endpoints":[[265.9734,278.9525],[264.5025,182.5413]],"vertex":[355.51,268.47]}],"canvas_size":[487,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2050","image_path":"images/angle_estimation_2050.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2050_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2050_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2050_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2050_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2050_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2050}
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-{"angle_1_degrees":24.885968,"angle_2_degrees":77.536315,"angles":[{"angle_degrees":24.885968,"arc_sweep_degrees":24.885968,"ray_endpoints":[[63.4346,223.3852],[56.6192,146.9958]],"vertex":[132.84,268.47]},{"angle_degrees":77.536315,"arc_sweep_degrees":77.536315,"ray_endpoints":[[291.3178,227.1514],[404.2215,136.7015]],"vertex":[359.16,268.47]}],"canvas_size":[492,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2052","image_path":"images/angle_estimation_2052.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2052_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2052_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2052_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2052_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2052_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2052}
-{"angle_1_degrees":140.08835,"angle_2_degrees":50.686444,"angles":[{"angle_degrees":140.08835,"arc_sweep_degrees":140.08835,"ray_endpoints":[[176.6039,214.2484],[129.2581,411.2312]],"vertex":[126.36,277.02]},{"angle_degrees":50.686444,"arc_sweep_degrees":50.686444,"ray_endpoints":[[294.1516,180.2889],[399.26,150.8095]],"vertex":[341.64,277.02]}],"canvas_size":[468,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2053","image_path":"images/angle_estimation_2053.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2053_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2053_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2053_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2053_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2053_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2053}
-{"angle_1_degrees":28.108886,"angle_2_degrees":122.604358,"angles":[{"angle_degrees":28.108886,"arc_sweep_degrees":28.108886,"ray_endpoints":[[57.1306,345.8215],[16.1117,310.7351]],"vertex":[125.01,275.88]},{"angle_degrees":122.604358,"arc_sweep_degrees":122.604358,"ray_endpoints":[[418.6745,286.7141],[264.0188,363.2517]],"vertex":[337.99,275.88]}],"canvas_size":[463,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2054","image_path":"images/angle_estimation_2054.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2054_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2054_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2054_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2054_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2054_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2054}
-{"angle_1_degrees":60.558359,"angle_2_degrees":31.276845,"angles":[{"angle_degrees":60.558359,"arc_sweep_degrees":60.558359,"ray_endpoints":[[43.0519,288.0777],[44.9532,185.6507]],"vertex":[124.2,266.19]},{"angle_degrees":31.276845,"arc_sweep_degrees":31.276845,"ray_endpoints":[[343.3107,354.48],[273.4331,391.7476]],"vertex":[335.8,266.19]}],"canvas_size":[460,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2055","image_path":"images/angle_estimation_2055.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2055_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2055_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2055_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2055_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2055_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2055}
-{"canvas_size":[482,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2056","image_path":"images/angle_estimation_2056.png","interior_angles_degrees":[61.327271,34.153209,84.519519],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2056_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2056_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2056_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2056_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2056_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2056,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,354.5378],[427.0,354.5378],[155.6646,170.4622]]}
-{"canvas_size":[495,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2057","image_path":"images/angle_estimation_2057.png","interior_angles_degrees":[62.023006,39.156346,78.820647],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2057_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2057_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2057_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2057_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2057_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2057,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,363.9232],[440.0,363.9232],[171.25,145.0768]]}
-{"canvas_size":[459,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2058","image_path":"images/angle_estimation_2058.png","interior_angles_degrees":[45.705164,55.995212,78.299623],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2058_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2058_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2058_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2058_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2058_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2058,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,347.2375],[404.0,347.2375],[261.3326,135.7625]]}
-{"canvas_size":[476,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2059","image_path":"images/angle_estimation_2059.png","interior_angles_degrees":[50.610748,53.665328,75.723924],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2059_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2059_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2059_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2059_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2059_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2059,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,360.0639],[421.0,360.0639],[248.0623,124.9361]]}
-{"canvas_size":[486,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2060","image_path":"images/angle_estimation_2060.png","interior_angles_degrees":[54.312648,44.046753,81.640599],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2060_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2060_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2060_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2060_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2060_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2060,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,370.8011],[431.0,370.8011],[209.1355,156.1989]]}
-{"angle_degrees":107.948015,"arc_sweep_degrees":107.948015,"canvas_size":[473,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2061","image_path":"images/angle_estimation_2061.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2061_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_2061_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2061_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"72","question_id":"angle_estimation_2061_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2061_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[360.6463,216.3005],[236.8874,366.3744]],"scene_type":"single","seed":2061,"vertex":[236.5,257.0]}
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-{"angle_degrees":78.923706,"arc_sweep_degrees":78.923706,"canvas_size":[455,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2067","image_path":"images/angle_estimation_2067.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2067_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_2067_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2067_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"101","question_id":"angle_estimation_2067_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2067_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[383.2846,178.4061],[310.306,364.244]],"scene_type":"single","seed":2067,"vertex":[227.5,253.0]}
-{"angle_degrees":253.244497,"arc_sweep_degrees":253.244497,"canvas_size":[499,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2068","image_path":"images/angle_estimation_2068.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2068_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_2068_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2068_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"73","question_id":"angle_estimation_2068_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2068_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[75.2164,258.1633],[288.0313,385.5479]],"scene_type":"single","seed":2068,"vertex":[249.5,258.0]}
-{"angle_1_degrees":23.41492,"angle_2_degrees":146.569705,"angles":[{"angle_degrees":23.41492,"arc_sweep_degrees":23.41492,"ray_endpoints":[[146.3914,192.834],[190.8543,192.4059]],"vertex":[127.71,281.58]},{"angle_degrees":146.569705,"arc_sweep_degrees":146.569705,"ray_endpoints":[[404.4192,232.077],[306.2226,412.3487]],"vertex":[345.29,281.58]}],"canvas_size":[473,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2069","image_path":"images/angle_estimation_2069.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2069_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2069_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_2069_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2069_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2069_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2069}
-{"angle_1_degrees":90.226754,"angle_2_degrees":36.406817,"angles":[{"angle_degrees":90.226754,"arc_sweep_degrees":90.226754,"ray_endpoints":[[196.7491,295.8106],[76.9322,356.7948]],"vertex":[127.98,259.92]},{"angle_degrees":36.406817,"arc_sweep_degrees":36.406817,"ray_endpoints":[[321.8267,348.6864],[261.0192,327.1641]],"vertex":[346.02,259.92]}],"canvas_size":[474,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2070","image_path":"images/angle_estimation_2070.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2070_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2070_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2070_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2070_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2070_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2070}
-{"angle_1_degrees":66.604485,"angle_2_degrees":19.940876,"angles":[{"angle_degrees":66.604485,"arc_sweep_degrees":66.604485,"ray_endpoints":[[158.6843,361.6255],[45.7804,372.9749]],"vertex":[121.5,285.0]},{"angle_degrees":19.940876,"arc_sweep_degrees":19.940876,"ray_endpoints":[[349.9751,391.4145],[309.7351,410.0888]],"vertex":[328.5,285.0]}],"canvas_size":[450,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2071","image_path":"images/angle_estimation_2071.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2071_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2071_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2071_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2071_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2071_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2071}
-{"angle_1_degrees":61.298689,"angle_2_degrees":111.458501,"angles":[{"angle_degrees":61.298689,"arc_sweep_degrees":61.298689,"ray_endpoints":[[209.8868,229.5272],[220.86,338.3235]],"vertex":[127.44,264.48]},{"angle_degrees":111.458501,"arc_sweep_degrees":111.458501,"ray_endpoints":[[433.3419,259.1353],[301.9214,395.6035]],"vertex":[344.56,264.48]}],"canvas_size":[472,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2072","image_path":"images/angle_estimation_2072.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2072_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2072_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2072_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2072_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2072_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2072}
-{"angle_1_degrees":135.838679,"angle_2_degrees":110.751843,"angles":[{"angle_degrees":135.838679,"arc_sweep_degrees":135.838679,"ray_endpoints":[[197.8308,253.7123],[74.2882,373.4944]],"vertex":[124.74,277.59]},{"angle_degrees":110.751843,"arc_sweep_degrees":110.751843,"ray_endpoints":[[447.4601,298.0436],[273.8429,382.0302]],"vertex":[337.26,277.59]}],"canvas_size":[462,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2073","image_path":"images/angle_estimation_2073.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2073_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2073_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2073_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2073_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2073_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2073}
-{"angle_1_degrees":44.553716,"angle_2_degrees":34.877819,"angles":[{"angle_degrees":44.553716,"arc_sweep_degrees":44.553716,"ray_endpoints":[[44.3596,253.4451],[46.7198,153.1886]],"vertex":[132.57,266.19]},{"angle_degrees":34.877819,"arc_sweep_degrees":34.877819,"ray_endpoints":[[390.7032,355.0858],[323.1263,398.6419]],"vertex":[358.43,266.19]}],"canvas_size":[491,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2074","image_path":"images/angle_estimation_2074.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2074_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2074_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2074_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2074_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2074_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2074}
-{"angle_1_degrees":46.402972,"angle_2_degrees":142.698489,"angles":[{"angle_degrees":46.402972,"arc_sweep_degrees":46.402972,"ray_endpoints":[[41.5078,310.0948],[27.0763,226.9889]],"vertex":[131.76,267.9]},{"angle_degrees":142.698489,"arc_sweep_degrees":142.698489,"ray_endpoints":[[339.0562,362.9891],[293.2971,144.6761]],"vertex":[356.24,267.9]}],"canvas_size":[488,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2075","image_path":"images/angle_estimation_2075.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2075_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2075_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2075_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2075_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2075_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2075}
-{"canvas_size":[462,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2076","image_path":"images/angle_estimation_2076.png","interior_angles_degrees":[90.267927,51.272317,38.459756],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2076_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2076_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2076_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2076_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2076_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2076,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[79.2186,448.0],[384.5724,448.0],[77.4276,65.0]]}
-{"canvas_size":[472,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2077","image_path":"images/angle_estimation_2077.png","interior_angles_degrees":[90.694331,30.176274,59.129395],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2077_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2077_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2077_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2077_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2077_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2077,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[57.5509,354.2442],[417.0,354.2442],[55.0,143.7558]]}
-{"canvas_size":[452,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2078","image_path":"images/angle_estimation_2078.png","interior_angles_degrees":[89.671566,52.489947,37.838488],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2078_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2078_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2078_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2078_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2078_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2078,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[86.0258,427.0],[365.9742,427.0],[88.1009,65.0]]}
-{"canvas_size":[479,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2079","image_path":"images/angle_estimation_2079.png","interior_angles_degrees":[89.291295,32.413228,58.295477],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2079_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2079_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2079_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2079_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2079_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2079,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,362.2341],[424.0,362.2341],[57.8756,129.7659]]}
-{"canvas_size":[452,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2080","image_path":"images/angle_estimation_2080.png","interior_angles_degrees":[90.199266,37.055259,52.745475],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2080_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2080_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2080_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2080_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2080_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2080,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.8981,381.6165],[397.0,381.6165],[55.0,123.3835]]}
-{"angle_degrees":290.412343,"arc_sweep_degrees":290.412343,"canvas_size":[480,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2081","image_path":"images/angle_estimation_2081.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2081_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_2081_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2081_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"110","question_id":"angle_estimation_2081_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2081_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[115.0753,216.2205],[169.1586,354.1497]],"scene_type":"single","seed":2081,"vertex":[240.0,243.0]}
-{"angle_degrees":36.158925,"arc_sweep_degrees":36.158925,"canvas_size":[497,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2082","image_path":"images/angle_estimation_2082.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2082_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2082_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2082_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"144","question_id":"angle_estimation_2082_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2082_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[146.7678,136.1687],[226.215,84.2778]],"scene_type":"single","seed":2082,"vertex":[248.5,240.5]}
-{"angle_degrees":310.753334,"arc_sweep_degrees":310.753334,"canvas_size":[451,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2083","image_path":"images/angle_estimation_2083.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2083_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_2083_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2083_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"131","question_id":"angle_estimation_2083_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2083_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[201.2702,418.9991],[294.4158,338.7301]],"scene_type":"single","seed":2083,"vertex":[225.5,258.5]}
-{"angle_degrees":217.184644,"arc_sweep_degrees":217.184644,"canvas_size":[477,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2084","image_path":"images/angle_estimation_2084.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2084_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_2084_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2084_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"37","question_id":"angle_estimation_2084_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2084_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[272.4218,382.5607],[297.4919,108.4142]],"scene_type":"single","seed":2084,"vertex":[238.5,245.5]}
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-{"angle_degrees":331.306847,"arc_sweep_degrees":331.306847,"canvas_size":[490,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2086","image_path":"images/angle_estimation_2086.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2086_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_2086_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2086_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"151","question_id":"angle_estimation_2086_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2086_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[84.7195,315.2903],[166.0329,346.8614]],"scene_type":"single","seed":2086,"vertex":[245.0,260.0]}
-{"angle_degrees":60.648921,"arc_sweep_degrees":60.648921,"canvas_size":[458,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2087","image_path":"images/angle_estimation_2087.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2087_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_2087_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2087_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"119","question_id":"angle_estimation_2087_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2087_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[253.7911,390.4683],[121.7215,331.3419]],"scene_type":"single","seed":2087,"vertex":[229.0,244.5]}
-{"angle_degrees":258.905592,"arc_sweep_degrees":258.905592,"canvas_size":[486,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2088","image_path":"images/angle_estimation_2088.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2088_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_2088_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2088_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"79","question_id":"angle_estimation_2088_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2088_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[298.8503,411.9565],[376.3116,174.2946]],"scene_type":"single","seed":2088,"vertex":[243.0,252.5]}
-{"angle_1_degrees":144.046523,"angle_2_degrees":94.20349,"angles":[{"angle_degrees":144.046523,"arc_sweep_degrees":144.046523,"ray_endpoints":[[119.2167,350.7521],[78.1718,150.7801]],"vertex":[134.46,270.18]},{"angle_degrees":94.20349,"arc_sweep_degrees":94.20349,"ray_endpoints":[[274.6571,291.8215],[344.9677,158.9674]],"vertex":[363.54,270.18]}],"canvas_size":[498,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2089","image_path":"images/angle_estimation_2089.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2089_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2089_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2089_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2089_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2089_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2089}
-{"angle_1_degrees":48.11951,"angle_2_degrees":39.221035,"angles":[{"angle_degrees":48.11951,"arc_sweep_degrees":48.11951,"ray_endpoints":[[112.8347,353.276],[36.5064,334.8053]],"vertex":[125.55,278.73]},{"angle_degrees":39.221035,"arc_sweep_degrees":39.221035,"ray_endpoints":[[258.8152,208.6451],[316.0848,143.2196]],"vertex":[339.45,278.73]}],"canvas_size":[465,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2090","image_path":"images/angle_estimation_2090.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2090_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2090_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2090_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2090_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2090_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2090}
-{"angle_1_degrees":50.737274,"angle_2_degrees":124.56088,"angles":[{"angle_degrees":50.737274,"arc_sweep_degrees":50.737274,"ray_endpoints":[[179.6725,371.1637],[80.8059,377.9887]],"vertex":[126.36,270.18]},{"angle_degrees":124.56088,"arc_sweep_degrees":124.56088,"ray_endpoints":[[261.6032,272.0328],[399.8007,181.4187]],"vertex":[341.64,270.18]}],"canvas_size":[468,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2091","image_path":"images/angle_estimation_2091.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2091_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2091_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2091_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2091_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2091_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2091}
-{"angle_1_degrees":44.224076,"angle_2_degrees":67.485268,"angles":[{"angle_degrees":44.224076,"arc_sweep_degrees":44.224076,"ray_endpoints":[[71.3254,343.5068],[14.8685,281.56]],"vertex":[135.0,282.72]},{"angle_degrees":67.485268,"arc_sweep_degrees":67.485268,"ray_endpoints":[[303.1347,330.5068],[268.415,227.4017]],"vertex":[365.0,282.72]}],"canvas_size":[500,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2092","image_path":"images/angle_estimation_2092.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2092_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2092_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2092_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2092_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2092_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2092}
-{"angle_1_degrees":55.669531,"angle_2_degrees":37.877662,"angles":[{"angle_degrees":55.669531,"arc_sweep_degrees":55.669531,"ray_endpoints":[[205.3957,319.6125],[152.7233,420.5147]],"vertex":[128.79,285.0]},{"angle_degrees":37.877662,"arc_sweep_degrees":37.877662,"ray_endpoints":[[409.9978,223.2174],[457.9492,271.2925]],"vertex":[348.21,285.0]}],"canvas_size":[477,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2093","image_path":"images/angle_estimation_2093.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2093_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2093_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2093_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2093_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2093_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2093}
-{"angle_1_degrees":140.037012,"angle_2_degrees":37.35154,"angles":[{"angle_degrees":140.037012,"arc_sweep_degrees":140.037012,"ray_endpoints":[[201.0222,191.0332],[108.7444,397.9385]],"vertex":[122.31,267.33]},{"angle_degrees":37.35154,"arc_sweep_degrees":37.35154,"ray_endpoints":[[431.366,266.8193],[437.6505,348.1089]],"vertex":[330.69,267.33]}],"canvas_size":[453,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2094","image_path":"images/angle_estimation_2094.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2094_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2094_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2094_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2094_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2094_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2094}
-{"angle_1_degrees":88.680883,"angle_2_degrees":151.596001,"angles":[{"angle_degrees":88.680883,"arc_sweep_degrees":88.680883,"ray_endpoints":[[59.3038,223.1617],[190.006,162.5214]],"vertex":[130.95,266.19]},{"angle_degrees":151.596001,"arc_sweep_degrees":151.596001,"ray_endpoints":[[255.6861,323.4606],[414.9254,166.4079]],"vertex":[354.05,266.19]}],"canvas_size":[485,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2095","image_path":"images/angle_estimation_2095.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2095_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2095_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2095_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2095_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2095_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2095}
-{"canvas_size":[451,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2096","image_path":"images/angle_estimation_2096.png","interior_angles_degrees":[139.066445,22.134531,18.799024],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2096_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2096_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2096_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2096_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2096_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2096,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[214.9363,334.3526],[396.0,334.3526],[55.0,195.6474]]}
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-{"canvas_size":[498,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2100","image_path":"images/angle_estimation_2100.png","interior_angles_degrees":[101.784444,27.362054,50.853502],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2100_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2100_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2100_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2100_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2100_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2100,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[96.8912,349.3971],[443.0,349.3971],[55.0,148.6029]]}
-{"angle_degrees":132.762974,"arc_sweep_degrees":132.762974,"canvas_size":[496,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2101","image_path":"images/angle_estimation_2101.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2101_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2101_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2101_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"47","question_id":"angle_estimation_2101_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2101_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[114.1697,163.0234],[353.8704,237.2857]],"scene_type":"single","seed":2101,"vertex":[248.0,259.0]}
-{"angle_degrees":169.049702,"arc_sweep_degrees":169.049702,"canvas_size":[469,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2102","image_path":"images/angle_estimation_2102.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2102_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_2102_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2102_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"11","question_id":"angle_estimation_2102_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2102_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[141.3037,136.8804],[356.0391,367.289]],"scene_type":"single","seed":2102,"vertex":[234.5,259.0]}
-{"angle_degrees":30.78816,"arc_sweep_degrees":30.78816,"canvas_size":[499,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2103","image_path":"images/angle_estimation_2103.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2103_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2103_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2103_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"149","question_id":"angle_estimation_2103_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2103_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[120.6948,145.7913],[198.4237,120.1869]],"scene_type":"single","seed":2103,"vertex":[249.5,239.5]}
-{"angle_degrees":79.574232,"arc_sweep_degrees":79.574232,"canvas_size":[461,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2104","image_path":"images/angle_estimation_2104.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2104_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_2104_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2104_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"100","question_id":"angle_estimation_2104_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2104_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[392.8533,249.3122],[260.1289,394.0585]],"scene_type":"single","seed":2104,"vertex":[230.5,253.5]}
-{"angle_degrees":89.999986,"arc_sweep_degrees":89.999986,"canvas_size":[459,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2105","image_path":"images/angle_estimation_2105.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"right","question_id":"angle_estimation_2105_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_2105_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"approximately equal to","question_id":"angle_estimation_2105_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"90","question_id":"angle_estimation_2105_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2105_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[384.4253,317.8109],[173.0155,397.5751]],"scene_type":"single","seed":2105,"vertex":[229.5,256.0]}
-{"angle_degrees":208.978305,"arc_sweep_degrees":208.978305,"canvas_size":[474,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2106","image_path":"images/angle_estimation_2106.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2106_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_2106_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2106_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"29","question_id":"angle_estimation_2106_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2106_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[397.1386,213.3369],[115.1911,229.866]],"scene_type":"single","seed":2106,"vertex":[237.0,258.5]}
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-{"angle_1_degrees":157.991973,"angle_2_degrees":19.905874,"angles":[{"angle_degrees":157.991973,"arc_sweep_degrees":157.991973,"ray_endpoints":[[194.6488,197.2879],[70.0485,380.5892]],"vertex":[123.39,264.48]},{"angle_degrees":19.905874,"arc_sweep_degrees":19.905874,"ray_endpoints":[[437.8389,269.8546],[444.908,311.3974]],"vertex":[333.61,264.48]}],"canvas_size":[457,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2110","image_path":"images/angle_estimation_2110.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2110_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2110_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_2110_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2110_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2110_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2110}
-{"angle_1_degrees":69.842592,"angle_2_degrees":82.961286,"angles":[{"angle_degrees":69.842592,"arc_sweep_degrees":69.842592,"ray_endpoints":[[29.9408,294.9914],[61.5836,169.6408]],"vertex":[127.44,274.17]},{"angle_degrees":82.961286,"arc_sweep_degrees":82.961286,"ray_endpoints":[[271.0132,258.1821],[356.2152,146.7333]],"vertex":[344.56,274.17]}],"canvas_size":[472,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2111","image_path":"images/angle_estimation_2111.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2111_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2111_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2111_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2111_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2111_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2111}
-{"angle_1_degrees":76.190256,"angle_2_degrees":15.101641,"angles":[{"angle_degrees":76.190256,"arc_sweep_degrees":76.190256,"ray_endpoints":[[61.095,180.7386],[214.2844,175.0705]],"vertex":[123.12,274.17]},{"angle_degrees":15.101641,"arc_sweep_degrees":15.101641,"ray_endpoints":[[354.6178,186.1794],[388.8267,173.1502]],"vertex":[332.88,274.17]}],"canvas_size":[456,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2112","image_path":"images/angle_estimation_2112.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2112_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2112_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2112_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2112_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2112_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2112}
-{"angle_1_degrees":78.4147,"angle_2_degrees":108.469665,"angles":[{"angle_degrees":78.4147,"arc_sweep_degrees":78.4147,"ray_endpoints":[[34.7428,251.4266],[116.8249,148.919]],"vertex":[121.5,265.62]},{"angle_degrees":108.469665,"arc_sweep_degrees":108.469665,"ray_endpoints":[[422.6577,279.865],[280.5319,359.4684]],"vertex":[328.5,265.62]}],"canvas_size":[450,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2113","image_path":"images/angle_estimation_2113.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2113_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2113_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2113_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2113_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2113_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2113}
-{"angle_1_degrees":41.834804,"angle_2_degrees":95.217168,"angles":[{"angle_degrees":41.834804,"arc_sweep_degrees":41.834804,"ray_endpoints":[[186.4891,328.0792],[128.9422,379.1385]],"vertex":[125.55,263.91]},{"angle_degrees":95.217168,"arc_sweep_degrees":95.217168,"ray_endpoints":[[279.0659,179.2225],[441.5441,204.3166]],"vertex":[339.45,263.91]}],"canvas_size":[465,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2114","image_path":"images/angle_estimation_2114.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2114_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2114_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2114_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2114_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2114_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2114}
-{"angle_1_degrees":67.108641,"angle_2_degrees":18.420838,"angles":[{"angle_degrees":67.108641,"arc_sweep_degrees":67.108641,"ray_endpoints":[[198.0724,334.225],[98.1063,378.5654]],"vertex":[127.44,277.02]},{"angle_degrees":18.420838,"arc_sweep_degrees":18.420838,"ray_endpoints":[[434.997,228.7989],[455.9647,258.0858]],"vertex":[344.56,277.02]}],"canvas_size":[472,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2115","image_path":"images/angle_estimation_2115.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2115_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2115_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2115_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2115_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2115_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2115}
-{"canvas_size":[486,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2116","image_path":"images/angle_estimation_2116.png","interior_angles_degrees":[54.231392,45.736978,80.031631],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2116_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2116_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2116_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2116_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2116_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2116,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,355.4151],[431.0,355.4151],[214.8043,133.5849]]}
-{"canvas_size":[462,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2117","image_path":"images/angle_estimation_2117.png","interior_angles_degrees":[74.90036,43.126502,61.973138],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2117_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2117_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2117_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2117_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2117_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2117,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,386.594],[407.0,386.594],[126.0118,123.406]]}
-{"canvas_size":[477,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2118","image_path":"images/angle_estimation_2118.png","interior_angles_degrees":[73.963151,49.738817,56.298032],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2118_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2118_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2118_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2118_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2118_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2118,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,415.2682],[422.0,415.2682],[147.9978,91.7318]]}
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-{"angle_1_degrees":55.921033,"angle_2_degrees":133.098619,"angles":[{"angle_degrees":55.921033,"arc_sweep_degrees":55.921033,"ray_endpoints":[[189.3838,347.8711],[88.8119,409.0806]],"vertex":[123.93,273.6]},{"angle_degrees":133.098619,"arc_sweep_degrees":133.098619,"ray_endpoints":[[332.306,172.6039],[416.3626,345.6]],"vertex":[335.07,273.6]}],"canvas_size":[459,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2129","image_path":"images/angle_estimation_2129.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2129_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2129_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2129_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2129_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2129_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2129}
-{"angle_1_degrees":161.509452,"angle_2_degrees":121.884791,"angles":[{"angle_degrees":161.509452,"arc_sweep_degrees":161.509452,"ray_endpoints":[[67.6621,348.2996],[160.7793,148.8492]],"vertex":[125.28,266.76]},{"angle_degrees":121.884791,"arc_sweep_degrees":121.884791,"ray_endpoints":[[278.3867,222.174],[449.8897,222.6303]],"vertex":[338.72,266.76]}],"canvas_size":[464,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2130","image_path":"images/angle_estimation_2130.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2130_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2130_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2130_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2130_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2130_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2130}
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-{"angle_1_degrees":126.41931,"angle_2_degrees":48.06608,"angles":[{"angle_degrees":126.41931,"arc_sweep_degrees":126.41931,"ray_endpoints":[[33.493,269.5797],[196.2431,148.6169]],"vertex":[129.06,260.49]},{"angle_degrees":48.06608,"arc_sweep_degrees":48.06608,"ray_endpoints":[[431.9871,252.5593],[453.6233,356.7886]],"vertex":[348.94,260.49]}],"canvas_size":[478,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2132","image_path":"images/angle_estimation_2132.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2132_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2132_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2132_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2132_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2132_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2132}
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-{"angle_1_degrees":61.630704,"angle_2_degrees":33.103064,"angles":[{"angle_degrees":61.630704,"arc_sweep_degrees":61.630704,"ray_endpoints":[[42.2393,205.8454],[142.9682,158.4318]],"vertex":[129.33,267.9]},{"angle_degrees":33.103064,"arc_sweep_degrees":33.103064,"ray_endpoints":[[269.737,222.1334],[288.0531,147.5062]],"vertex":[349.67,267.9]}],"canvas_size":[479,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2134","image_path":"images/angle_estimation_2134.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2134_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2134_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2134_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2134_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2134_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2134}
-{"angle_1_degrees":131.957306,"angle_2_degrees":35.387455,"angles":[{"angle_degrees":131.957306,"arc_sweep_degrees":131.957306,"ray_endpoints":[[215.5777,205.9321],[105.5895,392.9866]],"vertex":[131.76,256.5]},{"angle_degrees":35.387455,"arc_sweep_degrees":35.387455,"ray_endpoints":[[416.1854,330.1836],[364.8333,387.8658]],"vertex":[356.24,256.5]}],"canvas_size":[488,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2135","image_path":"images/angle_estimation_2135.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2135_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2135_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2135_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2135_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2135_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2135}
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-{"canvas_size":[486,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2140","image_path":"images/angle_estimation_2140.png","interior_angles_degrees":[90.780789,38.346471,50.872739],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2140_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2140_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2140_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2140_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2140_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2140,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[59.0536,406.2212],[431.0,406.2212],[55.0,108.7788]]}
-{"angle_degrees":217.070626,"arc_sweep_degrees":217.070626,"canvas_size":[474,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2141","image_path":"images/angle_estimation_2141.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2141_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_2141_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2141_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"37","question_id":"angle_estimation_2141_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2141_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[191.6224,393.0181],[353.6095,172.7975]],"scene_type":"single","seed":2141,"vertex":[237.0,254.0]}
-{"angle_degrees":259.85589,"arc_sweep_degrees":259.85589,"canvas_size":[493,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2142","image_path":"images/angle_estimation_2142.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2142_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_2142_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2142_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"80","question_id":"angle_estimation_2142_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2142_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[361.9454,141.4559],[155.1725,192.6571]],"scene_type":"single","seed":2142,"vertex":[246.5,256.5]}
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-{"angle_1_degrees":11.545833,"angle_2_degrees":80.821046,"angles":[{"angle_degrees":11.545833,"arc_sweep_degrees":11.545833,"ray_endpoints":[[48.3773,241.9513],[26.1383,205.2004]],"vertex":[127.98,276.45]},{"angle_degrees":80.821046,"arc_sweep_degrees":80.821046,"ray_endpoints":[[258.4592,225.0951],[384.738,176.6957]],"vertex":[346.02,276.45]}],"canvas_size":[474,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2150","image_path":"images/angle_estimation_2150.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2150_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2150_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2150_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2150_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2150_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2150}
-{"angle_1_degrees":61.948761,"angle_2_degrees":108.103303,"angles":[{"angle_degrees":61.948761,"arc_sweep_degrees":61.948761,"ray_endpoints":[[81.8831,169.4023],[213.0818,149.851]],"vertex":[131.76,266.76]},{"angle_degrees":108.103303,"arc_sweep_degrees":108.103303,"ray_endpoints":[[289.7972,343.994],[282.7509,145.3767]],"vertex":[356.24,266.76]}],"canvas_size":[488,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2151","image_path":"images/angle_estimation_2151.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2151_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2151_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2151_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2151_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2151_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2151}
-{"angle_1_degrees":11.675726,"angle_2_degrees":52.243003,"angles":[{"angle_degrees":11.675726,"arc_sweep_degrees":11.675726,"ray_endpoints":[[71.9977,188.7333],[72.2944,144.8733]],"vertex":[129.87,264.48]},{"angle_degrees":52.243003,"arc_sweep_degrees":52.243003,"ray_endpoints":[[252.9869,312.2013],[253.9776,216.4389]],"vertex":[351.13,264.48]}],"canvas_size":[481,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2152","image_path":"images/angle_estimation_2152.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2152_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2152_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2152_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2152_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2152_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2152}
-{"angle_1_degrees":20.030815,"angle_2_degrees":70.360496,"angles":[{"angle_degrees":20.030815,"arc_sweep_degrees":20.030815,"ray_endpoints":[[115.8745,367.2489],[76.8039,361.6422]],"vertex":[123.12,256.5]},{"angle_degrees":70.360496,"arc_sweep_degrees":70.360496,"ray_endpoints":[[264.0934,289.1159],[240.5108,164.1565]],"vertex":[332.88,256.5]}],"canvas_size":[456,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2153","image_path":"images/angle_estimation_2153.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2153_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2153_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2153_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2153_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2153_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2153}
-{"angle_1_degrees":97.35399,"angle_2_degrees":86.621547,"angles":[{"angle_degrees":97.35399,"arc_sweep_degrees":97.35399,"ray_endpoints":[[186.6901,356.248],[20.7586,326.0515]],"vertex":[133.65,273.03]},{"angle_degrees":86.621547,"arc_sweep_degrees":86.621547,"ray_endpoints":[[282.3632,266.4913],[364.574,136.6113]],"vertex":[361.35,273.03]}],"canvas_size":[495,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2154","image_path":"images/angle_estimation_2154.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2154_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2154_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2154_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2154_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2154_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2154}
-{"angle_1_degrees":129.069461,"angle_2_degrees":108.301502,"angles":[{"angle_degrees":129.069461,"arc_sweep_degrees":129.069461,"ray_endpoints":[[179.8032,204.2299],[139.9312,407.337]],"vertex":[121.77,265.05]},{"angle_degrees":108.301502,"arc_sweep_degrees":108.301502,"ray_endpoints":[[295.0614,362.8069],[245.5393,200.6754]],"vertex":[329.23,265.05]}],"canvas_size":[451,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2155","image_path":"images/angle_estimation_2155.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2155_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2155_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2155_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2155_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2155_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2155}
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-{"canvas_size":[499,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2157","image_path":"images/angle_estimation_2157.png","interior_angles_degrees":[137.518554,18.224947,24.2565],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2157_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2157_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2157_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2157_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2157_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2157,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[194.8705,327.5422],[444.0,327.5422],[55.0,199.4578]]}
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-{"angle_degrees":43.360672,"arc_sweep_degrees":43.360672,"canvas_size":[494,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2161","image_path":"images/angle_estimation_2161.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2161_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_2161_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2161_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"137","question_id":"angle_estimation_2161_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2161_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[365.9636,148.5935],[407.525,258.8564]],"scene_type":"single","seed":2161,"vertex":[247.0,253.0]}
-{"angle_degrees":210.927277,"arc_sweep_degrees":210.927277,"canvas_size":[485,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2162","image_path":"images/angle_estimation_2162.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2162_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_2162_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2162_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"31","question_id":"angle_estimation_2162_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2162_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[171.3888,387.4693],[343.8535,204.5873]],"scene_type":"single","seed":2162,"vertex":[242.5,262.0]}
-{"angle_degrees":111.350895,"arc_sweep_degrees":111.350895,"canvas_size":[483,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2163","image_path":"images/angle_estimation_2163.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2163_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_2163_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2163_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"69","question_id":"angle_estimation_2163_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2163_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[379.7754,204.3184],[236.0383,366.9752]],"scene_type":"single","seed":2163,"vertex":[241.5,251.0]}
-{"angle_degrees":197.134298,"arc_sweep_degrees":197.134298,"canvas_size":[469,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2164","image_path":"images/angle_estimation_2164.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2164_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_2164_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2164_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"17","question_id":"angle_estimation_2164_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2164_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[128.4387,139.45],[281.7327,362.9107]],"scene_type":"single","seed":2164,"vertex":[234.5,259.0]}
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-{"angle_degrees":291.059556,"arc_sweep_degrees":291.059556,"canvas_size":[456,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2168","image_path":"images/angle_estimation_2168.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2168_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_2168_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2168_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"111","question_id":"angle_estimation_2168_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2168_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[186.6084,388.9792],[346.4469,349.7084]],"scene_type":"single","seed":2168,"vertex":[228.0,256.0]}
-{"angle_1_degrees":51.793305,"angle_2_degrees":41.221794,"angles":[{"angle_degrees":51.793305,"arc_sweep_degrees":51.793305,"ray_endpoints":[[56.2809,304.3594],[26.07,217.7315]],"vertex":[127.17,275.88]},{"angle_degrees":41.221794,"arc_sweep_degrees":41.221794,"ray_endpoints":[[354.3601,354.1033],[284.6302,365.135]],"vertex":[343.83,275.88]}],"canvas_size":[471,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2169","image_path":"images/angle_estimation_2169.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2169_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2169_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2169_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2169_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2169_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2169}
-{"angle_1_degrees":146.010276,"angle_2_degrees":26.833411,"angles":[{"angle_degrees":146.010276,"arc_sweep_degrees":146.010276,"ray_endpoints":[[68.0499,313.5658],[172.062,136.6245]],"vertex":[128.79,266.76]},{"angle_degrees":26.833411,"arc_sweep_degrees":26.833411,"ray_endpoints":[[366.4733,182.4331],[434.9997,159.7886]],"vertex":[348.21,266.76]}],"canvas_size":[477,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2170","image_path":"images/angle_estimation_2170.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2170_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2170_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_2170_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2170_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2170_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2170}
-{"angle_1_degrees":135.57897,"angle_2_degrees":158.345436,"angles":[{"angle_degrees":135.57897,"arc_sweep_degrees":135.57897,"ray_endpoints":[[130.9973,173.2662],[216.2647,386.0301]],"vertex":[125.55,283.86]},{"angle_degrees":158.345436,"arc_sweep_degrees":158.345436,"ray_endpoints":[[296.4866,186.627],[430.912,373.7605]],"vertex":[339.45,283.86]}],"canvas_size":[465,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2171","image_path":"images/angle_estimation_2171.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2171_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2171_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2171_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2171_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2171_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2171}
-{"angle_1_degrees":59.673288,"angle_2_degrees":35.325148,"angles":[{"angle_degrees":59.673288,"arc_sweep_degrees":59.673288,"ray_endpoints":[[54.6675,287.1619],[36.6502,179.4436]],"vertex":[130.41,262.2]},{"angle_degrees":35.325148,"arc_sweep_degrees":35.325148,"ray_endpoints":[[423.6102,236.2971],[462.7604,292.3122]],"vertex":[352.59,262.2]}],"canvas_size":[483,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2172","image_path":"images/angle_estimation_2172.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2172_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2172_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2172_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2172_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2172_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2172}
-{"angle_1_degrees":78.238934,"angle_2_degrees":89.284708,"angles":[{"angle_degrees":78.238934,"arc_sweep_degrees":78.238934,"ray_endpoints":[[54.6267,215.6411],[170.4405,162.6474]],"vertex":[133.11,264.48]},{"angle_degrees":89.284708,"arc_sweep_degrees":89.284708,"ray_endpoints":[[450.5059,228.2459],[407.0526,378.2843]],"vertex":[359.89,264.48]}],"canvas_size":[493,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2173","image_path":"images/angle_estimation_2173.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2173_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2173_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2173_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2173_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2173_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2173}
-{"angle_1_degrees":152.600932,"angle_2_degrees":89.96354,"angles":[{"angle_degrees":152.600932,"arc_sweep_degrees":152.600932,"ray_endpoints":[[149.0271,368.4466],[31.144,151.7818]],"vertex":[122.31,257.07]},{"angle_degrees":89.96354,"arc_sweep_degrees":89.96354,"ray_endpoints":[[259.831,170.372],[414.3063,188.6409]],"vertex":[330.69,257.07]}],"canvas_size":[453,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2174","image_path":"images/angle_estimation_2174.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2174_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2174_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2174_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2174_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2174_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2174}
-{"angle_1_degrees":20.824652,"angle_2_degrees":71.718162,"angles":[{"angle_degrees":20.824652,"arc_sweep_degrees":20.824652,"ray_endpoints":[[58.07,180.9724],[79.9992,128.6745]],"vertex":[127.71,262.77]},{"angle_degrees":71.718162,"arc_sweep_degrees":71.718162,"ray_endpoints":[[414.5274,305.4456],[312.615,400.2825]],"vertex":[345.29,262.77]}],"canvas_size":[473,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2175","image_path":"images/angle_estimation_2175.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2175_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2175_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2175_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2175_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2175_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2175}
-{"canvas_size":[460,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2176","image_path":"images/angle_estimation_2176.png","interior_angles_degrees":[45.101145,55.767086,79.13177],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2176_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2176_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2176_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2176_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2176_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2176,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,361.8583],[405.0,361.8583],[262.981,153.1417]]}
-{"canvas_size":[496,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2177","image_path":"images/angle_estimation_2177.png","interior_angles_degrees":[55.387038,72.000149,52.612813],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2177_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2177_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2177_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2177_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2177_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2177,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,451.6282],[441.0,451.6282],[317.4483,71.3718]]}
-{"canvas_size":[495,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2178","image_path":"images/angle_estimation_2178.png","interior_angles_degrees":[56.570526,39.597398,83.832076],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2178_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2178_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2178_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2178_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2178_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2178,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,344.4951],[440.0,344.4951],[190.9776,138.5049]]}
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-{"angle_degrees":40.393579,"arc_sweep_degrees":40.393579,"canvas_size":[452,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2184","image_path":"images/angle_estimation_2184.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2184_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_2184_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2184_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"140","question_id":"angle_estimation_2184_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2184_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[231.956,113.7797],[331.1879,130.3283]],"scene_type":"single","seed":2184,"vertex":[226.0,243.0]}
-{"angle_degrees":29.999999,"arc_sweep_degrees":29.999999,"canvas_size":[467,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2185","image_path":"images/angle_estimation_2185.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2185_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2185_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2185_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_2185_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2185_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[304.3703,405.8343],[223.3954,384.3214]],"scene_type":"single","seed":2185,"vertex":[233.5,257.0]}
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-{"angle_degrees":187.986331,"arc_sweep_degrees":187.986331,"canvas_size":[500,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2188","image_path":"images/angle_estimation_2188.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2188_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_2188_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2188_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"8","question_id":"angle_estimation_2188_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2188_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[246.9776,105.2259],[236.0028,364.1489]],"scene_type":"single","seed":2188,"vertex":[250.0,246.0]}
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-{"angle_1_degrees":17.186873,"angle_2_degrees":127.286311,"angles":[{"angle_degrees":17.186873,"arc_sweep_degrees":17.186873,"ray_endpoints":[[171.3618,179.8018],[214.5665,174.4664]],"vertex":[131.49,269.61]},{"angle_degrees":127.286311,"arc_sweep_degrees":127.286311,"ray_endpoints":[[418.2911,218.3374],[359.8465,396.8599]],"vertex":[355.51,269.61]}],"canvas_size":[487,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2190","image_path":"images/angle_estimation_2190.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2190_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2190_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_2190_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2190_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2190_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2190}
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-{"angle_1_degrees":74.336924,"angle_2_degrees":159.395851,"angles":[{"angle_degrees":74.336924,"arc_sweep_degrees":74.336924,"ray_endpoints":[[191.9706,351.4056],[45.894,356.9411]],"vertex":[130.41,258.78]},{"angle_degrees":159.395851,"arc_sweep_degrees":159.395851,"ray_endpoints":[[376.3396,356.3775],[273.1579,142.2531]],"vertex":[352.59,258.78]}],"canvas_size":[483,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2193","image_path":"images/angle_estimation_2193.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2193_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2193_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2193_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2193_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2193_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2193}
-{"angle_1_degrees":78.407298,"angle_2_degrees":11.051817,"angles":[{"angle_degrees":78.407298,"arc_sweep_degrees":78.407298,"ray_endpoints":[[178.7665,321.8473],[39.6864,371.944]],"vertex":[127.98,261.06]},{"angle_degrees":11.051817,"arc_sweep_degrees":11.051817,"ray_endpoints":[[309.0094,349.8482],[268.3944,377.5418]],"vertex":[346.02,261.06]}],"canvas_size":[474,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2194","image_path":"images/angle_estimation_2194.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2194_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2194_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2194_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2194_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2194_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2194}
-{"angle_1_degrees":33.019865,"angle_2_degrees":142.407787,"angles":[{"angle_degrees":33.019865,"arc_sweep_degrees":33.019865,"ray_endpoints":[[116.1328,366.8317],[53.9588,351.6127]],"vertex":[132.84,265.05]},{"angle_degrees":142.407787,"arc_sweep_degrees":142.407787,"ray_endpoints":[[283.7975,292.0322],[435.861,145.6162]],"vertex":[359.16,265.05]}],"canvas_size":[492,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2195","image_path":"images/angle_estimation_2195.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2195_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2195_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_2195_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2195_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2195_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2195}
-{"canvas_size":[456,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2196","image_path":"images/angle_estimation_2196.png","interior_angles_degrees":[90.195981,33.897336,55.906683],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2196_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2196_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2196_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2196_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2196_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2196,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.7952,372.2395],[401.0,372.2395],[55.0,139.7605]]}
-{"canvas_size":[491,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2197","image_path":"images/angle_estimation_2197.png","interior_angles_degrees":[89.687241,39.447721,50.865038],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2197_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2197_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2197_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2197_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2197_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2197,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,398.5435],[436.0,398.5435],[56.7036,86.4565]]}
-{"canvas_size":[496,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2198","image_path":"images/angle_estimation_2198.png","interior_angles_degrees":[89.232348,56.163001,34.604651],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2198_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2198_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2198_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2198_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2198_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2198,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[127.9973,416.0],[368.0027,416.0],[132.7003,65.0]]}
-{"canvas_size":[497,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2199","image_path":"images/angle_estimation_2199.png","interior_angles_degrees":[89.329304,36.881385,53.78931],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2199_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2199_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2199_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2199_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2199_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2199,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,399.9215],[442.0,399.9215],[58.3696,112.0785]]}
-{"canvas_size":[471,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2200","image_path":"images/angle_estimation_2200.png","interior_angles_degrees":[89.730998,36.532669,53.736333],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2200_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2200_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2200_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2200_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2200_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2200,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,376.7588],[416.0,376.7588],[56.2513,110.2412]]}
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-{"angle_degrees":186.709636,"arc_sweep_degrees":186.709636,"canvas_size":[484,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2203","image_path":"images/angle_estimation_2203.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2203_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_2203_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2203_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"7","question_id":"angle_estimation_2203_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2203_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[103.4377,363.5774],[348.3594,200.0804]],"scene_type":"single","seed":2203,"vertex":[242.0,261.0]}
-{"angle_degrees":293.726035,"arc_sweep_degrees":293.726035,"canvas_size":[453,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2204","image_path":"images/angle_estimation_2204.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2204_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_2204_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2204_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"114","question_id":"angle_estimation_2204_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2204_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[132.7732,345.0922],[273.7721,341.2355]],"scene_type":"single","seed":2204,"vertex":[226.5,239.0]}
-{"angle_degrees":119.999971,"arc_sweep_degrees":119.999971,"canvas_size":[486,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2205","image_path":"images/angle_estimation_2205.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2205_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_2205_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2205_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"60","question_id":"angle_estimation_2205_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2205_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[177.5513,115.6472],[375.5455,245.9073]],"scene_type":"single","seed":2205,"vertex":[243.0,240.5]}
-{"angle_degrees":149.569288,"arc_sweep_degrees":149.569288,"canvas_size":[478,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2206","image_path":"images/angle_estimation_2206.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2206_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_2206_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2206_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"30","question_id":"angle_estimation_2206_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2206_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[335.0399,398.1651],[100.2701,195.2135]],"scene_type":"single","seed":2206,"vertex":[239.0,259.5]}
-{"angle_degrees":322.808705,"arc_sweep_degrees":322.808705,"canvas_size":[495,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2207","image_path":"images/angle_estimation_2207.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2207_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_2207_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2207_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"143","question_id":"angle_estimation_2207_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2207_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[339.8949,365.5658],[379.8118,281.5206]],"scene_type":"single","seed":2207,"vertex":[247.5,245.5]}
-{"angle_degrees":324.414658,"arc_sweep_degrees":324.414658,"canvas_size":[457,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2208","image_path":"images/angle_estimation_2208.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2208_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_2208_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2208_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"144","question_id":"angle_estimation_2208_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2208_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[353.7942,249.5156],[328.6018,174.5261]],"scene_type":"single","seed":2208,"vertex":[228.5,261.0]}
-{"angle_1_degrees":84.200653,"angle_2_degrees":46.687986,"angles":[{"angle_degrees":84.200653,"arc_sweep_degrees":84.200653,"ray_endpoints":[[73.0286,339.0729],[28.9404,216.2231]],"vertex":[122.58,281.01]},{"angle_degrees":46.687986,"arc_sweep_degrees":46.687986,"ray_endpoints":[[252.4904,241.5545],[294.9054,159.7034]],"vertex":[331.42,281.01]}],"canvas_size":[454,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2209","image_path":"images/angle_estimation_2209.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2209_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2209_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2209_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2209_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2209_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2209}
-{"angle_1_degrees":56.854758,"angle_2_degrees":21.587218,"angles":[{"angle_degrees":56.854758,"arc_sweep_degrees":56.854758,"ray_endpoints":[[77.4386,176.5415],[183.1226,142.5315]],"vertex":[133.92,259.92]},{"angle_degrees":21.587218,"arc_sweep_degrees":21.587218,"ray_endpoints":[[443.4934,264.9888],[483.4762,316.915]],"vertex":[362.08,259.92]}],"canvas_size":[496,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2210","image_path":"images/angle_estimation_2210.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2210_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2210_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2210_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2210_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2210_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2210}
-{"angle_1_degrees":146.864618,"angle_2_degrees":42.174291,"angles":[{"angle_degrees":146.864618,"arc_sweep_degrees":146.864618,"ray_endpoints":[[83.2824,348.6986],[117.0976,134.0295]],"vertex":[130.14,257.07]},{"angle_degrees":42.174291,"arc_sweep_degrees":42.174291,"ray_endpoints":[[417.0367,325.9992],[354.8355,396.4582]],"vertex":[351.86,257.07]}],"canvas_size":[482,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2211","image_path":"images/angle_estimation_2211.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2211_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2211_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2211_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2211_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2211_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2211}
-{"angle_1_degrees":155.64509,"angle_2_degrees":77.825438,"angles":[{"angle_degrees":155.64509,"arc_sweep_degrees":155.64509,"ray_endpoints":[[27.3521,313.2896],[199.1381,180.3132]],"vertex":[130.14,263.34]},{"angle_degrees":77.825438,"arc_sweep_degrees":77.825438,"ray_endpoints":[[452.8099,215.5411],[422.5172,355.3833]],"vertex":[351.86,263.34]}],"canvas_size":[482,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2212","image_path":"images/angle_estimation_2212.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2212_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2212_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2212_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2212_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2212_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2212}
-{"angle_1_degrees":67.95237,"angle_2_degrees":25.282535,"angles":[{"angle_degrees":67.95237,"arc_sweep_degrees":67.95237,"ray_endpoints":[[53.8119,339.3382],[28.4638,226.093]],"vertex":[126.63,275.31]},{"angle_degrees":25.282535,"arc_sweep_degrees":25.282535,"ray_endpoints":[[376.3101,383.3873],[327.4295,383.6973]],"vertex":[342.37,275.31]}],"canvas_size":[469,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2213","image_path":"images/angle_estimation_2213.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2213_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2213_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2213_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2213_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2213_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2213}
-{"angle_1_degrees":30.280683,"angle_2_degrees":138.068663,"angles":[{"angle_degrees":30.280683,"arc_sweep_degrees":30.280683,"ray_endpoints":[[62.6314,348.1857],[21.0021,311.9228]],"vertex":[126.09,281.58]},{"angle_degrees":138.068663,"arc_sweep_degrees":138.068663,"ray_endpoints":[[302.7999,174.8024],[452.8944,342.197]],"vertex":[340.91,281.58]}],"canvas_size":[467,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2214","image_path":"images/angle_estimation_2214.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2214_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2214_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_2214_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2214_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2214_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2214}
-{"angle_1_degrees":99.407708,"angle_2_degrees":156.487732,"angles":[{"angle_degrees":99.407708,"arc_sweep_degrees":99.407708,"ray_endpoints":[[33.2889,346.4089],[72.3186,171.2531]],"vertex":[125.28,282.15]},{"angle_degrees":156.487732,"arc_sweep_degrees":156.487732,"ray_endpoints":[[306.2973,212.4155],[435.2424,367.7018]],"vertex":[338.72,282.15]}],"canvas_size":[464,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2215","image_path":"images/angle_estimation_2215.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2215_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2215_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2215_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2215_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2215_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2215}
-{"canvas_size":[487,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2216","image_path":"images/angle_estimation_2216.png","interior_angles_degrees":[115.298509,25.575628,39.125862],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2216_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2216_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2216_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2216_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2216_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2216,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[140.2836,340.7155],[432.0,340.7155],[55.0,160.2845]]}
-{"canvas_size":[461,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2217","image_path":"images/angle_estimation_2217.png","interior_angles_degrees":[105.882824,30.237678,43.879498],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2217_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2217_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2217_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2217_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2217_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2217,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[113.2144,350.298],[406.0,350.298],[55.0,145.702]]}
-{"canvas_size":[455,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2218","image_path":"images/angle_estimation_2218.png","interior_angles_degrees":[133.133713,20.20145,26.664836],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2218_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2218_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2218_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2218_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2218_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2218,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[173.9334,311.9726],[400.0,311.9726],[55.0,185.0274]]}
-{"canvas_size":[492,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2219","image_path":"images/angle_estimation_2219.png","interior_angles_degrees":[104.920033,22.106835,52.973132],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2219_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2219_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2219_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2219_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2219_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2219,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[96.3449,319.5836],[437.0,319.5836],[55.0,164.4164]]}
-{"canvas_size":[487,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2220","image_path":"images/angle_estimation_2220.png","interior_angles_degrees":[120.094746,33.86115,26.044104],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2220_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2220_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2220_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2220_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2220_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2220,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[201.6063,381.4813],[432.0,381.4813],[55.0,128.5187]]}
-{"angle_degrees":284.027423,"arc_sweep_degrees":284.027423,"canvas_size":[497,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2221","image_path":"images/angle_estimation_2221.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2221_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_2221_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2221_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"104","question_id":"angle_estimation_2221_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2221_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[169.8719,403.4522],[342.0315,339.0256]],"scene_type":"single","seed":2221,"vertex":[248.5,255.0]}
-{"angle_degrees":307.677866,"arc_sweep_degrees":307.677866,"canvas_size":[463,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2222","image_path":"images/angle_estimation_2222.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2222_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_2222_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2222_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"128","question_id":"angle_estimation_2222_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2222_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[361.5726,265.2803],[338.9482,142.9087]],"scene_type":"single","seed":2222,"vertex":[231.5,245.5]}
-{"angle_degrees":101.062399,"arc_sweep_degrees":101.062399,"canvas_size":[497,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2223","image_path":"images/angle_estimation_2223.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2223_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_2223_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2223_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"79","question_id":"angle_estimation_2223_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2223_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[234.2034,382.0502],[92.0354,207.413]],"scene_type":"single","seed":2223,"vertex":[248.5,257.0]}
-{"angle_degrees":70.575988,"arc_sweep_degrees":70.575988,"canvas_size":[497,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2224","image_path":"images/angle_estimation_2224.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2224_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_2224_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2224_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"109","question_id":"angle_estimation_2224_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2224_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[281.2702,135.7699],[376.9713,248.8165]],"scene_type":"single","seed":2224,"vertex":[248.5,259.0]}
-{"angle_degrees":29.999978,"arc_sweep_degrees":29.999978,"canvas_size":[461,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2225","image_path":"images/angle_estimation_2225.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2225_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2225_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2225_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_2225_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2225_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[344.9258,367.9511],[265.9255,395.5623]],"scene_type":"single","seed":2225,"vertex":[230.5,247.0]}
-{"angle_degrees":129.859906,"arc_sweep_degrees":129.859906,"canvas_size":[455,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2226","image_path":"images/angle_estimation_2226.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2226_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2226_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2226_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"50","question_id":"angle_estimation_2226_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2226_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[141.9888,365.9884],[200.3286,134.852]],"scene_type":"single","seed":2226,"vertex":[227.5,253.5]}
-{"angle_degrees":136.491227,"arc_sweep_degrees":136.491227,"canvas_size":[496,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2227","image_path":"images/angle_estimation_2227.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2227_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2227_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2227_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"44","question_id":"angle_estimation_2227_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2227_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[237.0405,85.0379],[336.4341,326.7738]],"scene_type":"single","seed":2227,"vertex":[248.0,245.5]}
-{"angle_degrees":111.087266,"arc_sweep_degrees":111.087266,"canvas_size":[468,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2228","image_path":"images/angle_estimation_2228.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2228_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_2228_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2228_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"69","question_id":"angle_estimation_2228_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2228_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[300.7034,96.9553],[322.9749,335.316]],"scene_type":"single","seed":2228,"vertex":[234.0,245.5]}
-{"angle_1_degrees":17.348405,"angle_2_degrees":81.593353,"angles":[{"angle_degrees":17.348405,"arc_sweep_degrees":17.348405,"ray_endpoints":[[117.4099,360.1828],[68.2972,404.6467]],"vertex":[129.06,275.31]},{"angle_degrees":81.593353,"arc_sweep_degrees":81.593353,"ray_endpoints":[[390.2157,172.5709],[454.2425,300.5545]],"vertex":[348.94,275.31]}],"canvas_size":[478,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2229","image_path":"images/angle_estimation_2229.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2229_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2229_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2229_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2229_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2229_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2229}
-{"angle_1_degrees":84.195622,"angle_2_degrees":102.117075,"angles":[{"angle_degrees":84.195622,"arc_sweep_degrees":84.195622,"ray_endpoints":[[46.2751,187.9013],[195.849,185.8781]],"vertex":[124.2,269.61]},{"angle_degrees":102.117075,"arc_sweep_degrees":102.117075,"ray_endpoints":[[283.4,340.3333],[256.4868,179.4808]],"vertex":[335.8,269.61]}],"canvas_size":[460,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2230","image_path":"images/angle_estimation_2230.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2230_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2230_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2230_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2230_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2230_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2230}
-{"angle_1_degrees":168.107735,"angle_2_degrees":132.478335,"angles":[{"angle_degrees":168.107735,"arc_sweep_degrees":168.107735,"ray_endpoints":[[74.9555,313.2057],[196.9538,168.7047]],"vertex":[135.0,257.07]},{"angle_degrees":132.478335,"arc_sweep_degrees":132.478335,"ray_endpoints":[[264.7503,234.6596],[453.5192,195.2708]],"vertex":[365.0,257.07]}],"canvas_size":[500,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2231","image_path":"images/angle_estimation_2231.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2231_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2231_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2231_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2231_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2231_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2231}
-{"angle_1_degrees":15.090178,"angle_2_degrees":67.220633,"angles":[{"angle_degrees":15.090178,"arc_sweep_degrees":15.090178,"ray_endpoints":[[92.4629,209.039],[99.4819,143.9002]],"vertex":[134.19,284.43]},{"angle_degrees":67.220633,"arc_sweep_degrees":67.220633,"ray_endpoints":[[450.6714,270.3288],[438.6076,406.2171]],"vertex":[362.81,284.43]}],"canvas_size":[497,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2232","image_path":"images/angle_estimation_2232.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2232_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2232_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2232_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2232_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2232_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2232}
-{"angle_1_degrees":74.5773,"angle_2_degrees":100.969618,"angles":[{"angle_degrees":74.5773,"arc_sweep_degrees":74.5773,"ray_endpoints":[[59.1314,365.7869],[27.8676,234.1811]],"vertex":[130.14,280.44]},{"angle_degrees":100.969618,"arc_sweep_degrees":100.969618,"ray_endpoints":[[458.698,284.9347],[319.852,415.018]],"vertex":[351.86,280.44]}],"canvas_size":[482,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2233","image_path":"images/angle_estimation_2233.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2233_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2233_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2233_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2233_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2233_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2233}
-{"angle_1_degrees":107.9785,"angle_2_degrees":133.942537,"angles":[{"angle_degrees":107.9785,"arc_sweep_degrees":107.9785,"ray_endpoints":[[234.4782,238.1902],[145.5505,414.1217]],"vertex":[135.0,279.3]},{"angle_degrees":133.942537,"arc_sweep_degrees":133.942537,"ray_endpoints":[[277.6572,297.3519],[432.1799,172.8886]],"vertex":[365.0,279.3]}],"canvas_size":[500,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2234","image_path":"images/angle_estimation_2234.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2234_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2234_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2234_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2234_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2234_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2234}
-{"angle_1_degrees":51.082414,"angle_2_degrees":30.776495,"angles":[{"angle_degrees":51.082414,"arc_sweep_degrees":51.082414,"ray_endpoints":[[210.9665,287.9139],[185.8229,394.111]],"vertex":[125.82,267.33]},{"angle_degrees":30.776495,"arc_sweep_degrees":30.776495,"ray_endpoints":[[366.4417,370.2008],[308.3992,374.9274]],"vertex":[340.18,267.33]}],"canvas_size":[466,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2235","image_path":"images/angle_estimation_2235.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2235_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2235_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2235_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2235_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2235_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2235}
-{"canvas_size":[485,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2236","image_path":"images/angle_estimation_2236.png","interior_angles_degrees":[63.808197,53.38924,62.802563],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2236_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2236_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2236_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2236_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2236_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2236,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,397.3415],[430.0,397.3415],[204.3766,93.6585]]}
-{"canvas_size":[453,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2237","image_path":"images/angle_estimation_2237.png","interior_angles_degrees":[52.843223,67.786358,59.370419],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2237_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2237_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2237_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2237_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2237_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2237,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,389.5559],[398.0,389.5559],[277.8935,95.4441]]}
-{"canvas_size":[495,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2238","image_path":"images/angle_estimation_2238.png","interior_angles_degrees":[65.501372,29.0319,85.466728],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2238_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2238_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2238_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2238_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2238_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2238,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,331.2759],[440.0,331.2759],[132.72,160.7241]]}
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-{"canvas_size":[498,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2240","image_path":"images/angle_estimation_2240.png","interior_angles_degrees":[54.029089,53.304376,72.666535],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2240_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2240_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2240_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2240_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2240_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2240,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,380.8808],[443.0,380.8808],[246.4295,117.1192]]}
-{"angle_degrees":190.610621,"arc_sweep_degrees":190.610621,"canvas_size":[488,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2241","image_path":"images/angle_estimation_2241.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2241_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_2241_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2241_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"11","question_id":"angle_estimation_2241_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2241_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[146.2175,372.0866],[367.1529,148.7313]],"scene_type":"single","seed":2241,"vertex":[244.0,252.5]}
-{"angle_degrees":296.32993,"arc_sweep_degrees":296.32993,"canvas_size":[482,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2242","image_path":"images/angle_estimation_2242.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2242_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_2242_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2242_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"116","question_id":"angle_estimation_2242_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2242_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[225.0404,423.9423],[344.3588,318.9018]],"scene_type":"single","seed":2242,"vertex":[241.0,255.0]}
-{"angle_degrees":144.750787,"arc_sweep_degrees":144.750787,"canvas_size":[478,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2243","image_path":"images/angle_estimation_2243.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2243_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_2243_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2243_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"35","question_id":"angle_estimation_2243_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2243_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[94.8107,256.4578],[335.4691,149.4659]],"scene_type":"single","seed":2243,"vertex":[239.0,238.0]}
-{"angle_degrees":54.148369,"arc_sweep_degrees":54.148369,"canvas_size":[485,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2244","image_path":"images/angle_estimation_2244.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2244_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_2244_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2244_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"126","question_id":"angle_estimation_2244_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2244_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[192.5073,88.6922],[328.3962,120.4372]],"scene_type":"single","seed":2244,"vertex":[242.5,239.5]}
-{"angle_degrees":44.999991,"arc_sweep_degrees":44.999991,"canvas_size":[458,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2245","image_path":"images/angle_estimation_2245.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2245_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_2245_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2245_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"135","question_id":"angle_estimation_2245_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2245_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[257.8331,406.812],[167.3724,339.3965]],"scene_type":"single","seed":2245,"vertex":[229.0,250.0]}
-{"angle_degrees":24.834622,"arc_sweep_degrees":24.834622,"canvas_size":[492,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2246","image_path":"images/angle_estimation_2246.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2246_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2246_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2246_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"155","question_id":"angle_estimation_2246_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2246_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[358.1383,134.1788],[356.6308,210.8029]],"scene_type":"single","seed":2246,"vertex":[246.0,257.5]}
-{"angle_degrees":325.622877,"arc_sweep_degrees":325.622877,"canvas_size":[488,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2247","image_path":"images/angle_estimation_2247.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2247_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_2247_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2247_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"146","question_id":"angle_estimation_2247_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2247_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[179.4377,118.762],[112.6934,170.1343]],"scene_type":"single","seed":2247,"vertex":[244.0,237.0]}
-{"angle_degrees":335.554977,"arc_sweep_degrees":335.554977,"canvas_size":[468,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2248","image_path":"images/angle_estimation_2248.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2248_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_2248_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2248_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"156","question_id":"angle_estimation_2248_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2248_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[96.3789,338.5324],[174.3377,344.0325]],"scene_type":"single","seed":2248,"vertex":[234.0,237.0]}
-{"angle_1_degrees":97.251871,"angle_2_degrees":85.891628,"angles":[{"angle_degrees":97.251871,"arc_sweep_degrees":97.251871,"ray_endpoints":[[196.9957,312.8949],[66.0705,381.5313]],"vertex":[126.9,281.58]},{"angle_degrees":85.891628,"arc_sweep_degrees":85.891628,"ray_endpoints":[[251.4372,235.2284],[396.7684,153.3835]],"vertex":[343.1,281.58]}],"canvas_size":[470,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2249","image_path":"images/angle_estimation_2249.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2249_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2249_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2249_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2249_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2249_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2249}
-{"angle_1_degrees":73.337256,"angle_2_degrees":129.551017,"angles":[{"angle_degrees":73.337256,"arc_sweep_degrees":73.337256,"ray_endpoints":[[196.8971,364.7202],[58.7914,366.7917]],"vertex":[129.6,273.03]},{"angle_degrees":129.551017,"arc_sweep_degrees":129.551017,"ray_endpoints":[[421.4175,235.4733],[326.4722,388.7819]],"vertex":[350.4,273.03]}],"canvas_size":[480,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2250","image_path":"images/angle_estimation_2250.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2250_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2250_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2250_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2250_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2250_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2250}
-{"angle_1_degrees":30.493868,"angle_2_degrees":48.608696,"angles":[{"angle_degrees":30.493868,"arc_sweep_degrees":30.493868,"ray_endpoints":[[67.8928,171.8868],[119.3325,136.95]],"vertex":[122.04,259.35]},{"angle_degrees":48.608696,"arc_sweep_degrees":48.608696,"ray_endpoints":[[361.2214,336.9768],[264.9645,388.729]],"vertex":[329.96,259.35]}],"canvas_size":[452,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2251","image_path":"images/angle_estimation_2251.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2251_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2251_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2251_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2251_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2251_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2251}
-{"angle_1_degrees":133.538958,"angle_2_degrees":55.927965,"angles":[{"angle_degrees":133.538958,"arc_sweep_degrees":133.538958,"ray_endpoints":[[129.9125,166.5868],[200.7734,350.5851]],"vertex":[123.93,268.47]},{"angle_degrees":55.927965,"arc_sweep_degrees":55.927965,"ray_endpoints":[[324.3518,160.0918],[422.6949,195.6707]],"vertex":[335.07,268.47]}],"canvas_size":[459,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2252","image_path":"images/angle_estimation_2252.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2252_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2252_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2252_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2252_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2252_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2252}
-{"angle_1_degrees":34.989589,"angle_2_degrees":10.094136,"angles":[{"angle_degrees":34.989589,"arc_sweep_degrees":34.989589,"ray_endpoints":[[26.6615,282.1693],[29.3548,215.1991]],"vertex":[129.33,274.17]},{"angle_degrees":10.094136,"arc_sweep_degrees":10.094136,"ray_endpoints":[[304.9542,341.1746],[259.6215,368.0341]],"vertex":[349.67,274.17]}],"canvas_size":[479,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2253","image_path":"images/angle_estimation_2253.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2253_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2253_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2253_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2253_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2253_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2253}
-{"angle_1_degrees":71.846261,"angle_2_degrees":14.650715,"angles":[{"angle_degrees":71.846261,"arc_sweep_degrees":71.846261,"ray_endpoints":[[33.7311,293.1591],[56.197,153.5604]],"vertex":[124.47,275.31]},{"angle_degrees":14.650715,"arc_sweep_degrees":14.650715,"ray_endpoints":[[366.9883,378.4879],[339.8314,380.5976]],"vertex":[336.53,275.31]}],"canvas_size":[461,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2254","image_path":"images/angle_estimation_2254.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2254_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2254_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2254_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2254_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2254_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2254}
-{"angle_1_degrees":114.568549,"angle_2_degrees":74.025439,"angles":[{"angle_degrees":114.568549,"arc_sweep_degrees":114.568549,"ray_endpoints":[[111.637,367.7929],[28.6808,193.6558]],"vertex":[134.19,278.16]},{"angle_degrees":74.025439,"arc_sweep_degrees":74.025439,"ray_endpoints":[[340.4046,191.5791],[459.2376,221.3977]],"vertex":[362.81,278.16]}],"canvas_size":[497,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2255","image_path":"images/angle_estimation_2255.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2255_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2255_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2255_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2255_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2255_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2255}
-{"canvas_size":[457,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2256","image_path":"images/angle_estimation_2256.png","interior_angles_degrees":[89.253301,32.117158,58.629541],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2256_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2256_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2256_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2256_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2256_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2256,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,367.525],[402.0,367.525],[57.8158,151.475]]}
-{"canvas_size":[452,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2257","image_path":"images/angle_estimation_2257.png","interior_angles_degrees":[90.503076,40.736743,48.76018],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2257_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2257_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2257_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2257_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2257_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2257,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[57.5863,390.7741],[397.0,390.7741],[55.0,96.2259]]}
-{"canvas_size":[454,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2258","image_path":"images/angle_estimation_2258.png","interior_angles_degrees":[89.589494,42.059855,48.350651],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2258_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2258_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2258_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2258_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2258_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2258,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,415.6983],[399.0,415.6983],[57.2096,107.3017]]}
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-{"angle_degrees":322.828196,"arc_sweep_degrees":322.828196,"canvas_size":[453,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2263","image_path":"images/angle_estimation_2263.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2263_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_2263_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2263_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"143","question_id":"angle_estimation_2263_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2263_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[288.7002,361.9561],[370.021,313.7362]],"scene_type":"single","seed":2263,"vertex":[226.5,251.5]}
-{"angle_degrees":25.677642,"arc_sweep_degrees":25.677642,"canvas_size":[495,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2264","image_path":"images/angle_estimation_2264.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2264_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2264_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2264_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"154","question_id":"angle_estimation_2264_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2264_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[332.5736,119.534],[336.3343,199.3668]],"scene_type":"single","seed":2264,"vertex":[247.5,255.5]}
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-{"angle_degrees":234.703205,"arc_sweep_degrees":234.703205,"canvas_size":[484,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2267","image_path":"images/angle_estimation_2267.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2267_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_2267_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2267_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"55","question_id":"angle_estimation_2267_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2267_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[247.4158,114.9725],[153.5486,300.166]],"scene_type":"single","seed":2267,"vertex":[242.0,243.0]}
-{"angle_degrees":100.712061,"arc_sweep_degrees":100.712061,"canvas_size":[460,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2268","image_path":"images/angle_estimation_2268.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2268_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_2268_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2268_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"79","question_id":"angle_estimation_2268_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2268_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[338.3735,136.3003],[308.9923,360.9505]],"scene_type":"single","seed":2268,"vertex":[230.0,260.5]}
-{"angle_1_degrees":155.970896,"angle_2_degrees":57.1208,"angles":[{"angle_degrees":155.970896,"arc_sweep_degrees":155.970896,"ray_endpoints":[[190.6637,366.8477],[22.6136,207.8935]],"vertex":[131.22,277.02]},{"angle_degrees":57.1208,"arc_sweep_degrees":57.1208,"ray_endpoints":[[273.3678,264.459],[299.9633,154.5231]],"vertex":[354.78,277.02]}],"canvas_size":[486,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2269","image_path":"images/angle_estimation_2269.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2269_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2269_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2269_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2269_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2269_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2269}
-{"angle_1_degrees":51.628977,"angle_2_degrees":39.814026,"angles":[{"angle_degrees":51.628977,"arc_sweep_degrees":51.628977,"ray_endpoints":[[208.5512,352.388],[121.2596,416.9435]],"vertex":[126.09,282.15]},{"angle_degrees":39.814026,"arc_sweep_degrees":39.814026,"ray_endpoints":[[379.9888,203.2757],[446.3501,235.5804]],"vertex":[340.91,282.15]}],"canvas_size":[467,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2270","image_path":"images/angle_estimation_2270.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2270_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2270_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2270_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2270_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2270_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2270}
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-{"angle_1_degrees":164.984164,"angle_2_degrees":78.915537,"angles":[{"angle_degrees":164.984164,"arc_sweep_degrees":164.984164,"ray_endpoints":[[98.5362,189.4198],[193.9863,356.5071]],"vertex":[126.09,262.2]},{"angle_degrees":78.915537,"arc_sweep_degrees":78.915537,"ray_endpoints":[[437.3469,264.2807],[364.3643,397.3046]],"vertex":[340.91,262.2]}],"canvas_size":[467,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2272","image_path":"images/angle_estimation_2272.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2272_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2272_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2272_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2272_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2272_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2272}
-{"angle_1_degrees":66.787586,"angle_2_degrees":33.558039,"angles":[{"angle_degrees":66.787586,"arc_sweep_degrees":66.787586,"ray_endpoints":[[223.096,265.2244],[175.88,374.6975]],"vertex":[133.92,260.49]},{"angle_degrees":33.558039,"arc_sweep_degrees":33.558039,"ray_endpoints":[[312.3763,353.7609],[266.9094,311.9249]],"vertex":[362.08,260.49]}],"canvas_size":[496,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2273","image_path":"images/angle_estimation_2273.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2273_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2273_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2273_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2273_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2273_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2273}
-{"angle_1_degrees":114.051483,"angle_2_degrees":64.335629,"angles":[{"angle_degrees":114.051483,"arc_sweep_degrees":114.051483,"ray_endpoints":[[74.8527,330.6802],[97.6307,169.6344]],"vertex":[133.65,276.45]},{"angle_degrees":64.335629,"arc_sweep_degrees":64.335629,"ray_endpoints":[[267.418,270.9368],[310.0874,151.492]],"vertex":[361.35,276.45]}],"canvas_size":[495,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2274","image_path":"images/angle_estimation_2274.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2274_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2274_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2274_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2274_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2274_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2274}
-{"angle_1_degrees":88.990895,"angle_2_degrees":142.591277,"angles":[{"angle_degrees":88.990895,"arc_sweep_degrees":88.990895,"ray_endpoints":[[90.3244,193.94],[227.6688,215.0706]],"vertex":[131.49,269.61]},{"angle_degrees":142.591277,"arc_sweep_degrees":142.591277,"ray_endpoints":[[445.2391,228.5248],[291.4226,390.1959]],"vertex":[355.51,269.61]}],"canvas_size":[487,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2275","image_path":"images/angle_estimation_2275.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2275_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2275_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2275_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2275_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2275_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2275}
-{"canvas_size":[475,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2276","image_path":"images/angle_estimation_2276.png","interior_angles_degrees":[124.086274,25.367232,30.546493],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2276_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2276_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2276_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2276_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2276_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2276,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[172.1093,331.5295],[420.0,331.5295],[55.0,158.4705]]}
-{"canvas_size":[472,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2277","image_path":"images/angle_estimation_2277.png","interior_angles_degrees":[115.536348,21.790056,42.673596],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2277_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2277_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2277_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2277_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2277_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2277,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[124.1391,328.8584],[417.0,328.8584],[55.0,184.1416]]}
-{"canvas_size":[459,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2278","image_path":"images/angle_estimation_2278.png","interior_angles_degrees":[107.314355,33.258745,39.426899],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2278_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2278_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2278_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2278_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2278_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2278,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[126.3544,354.9453],[404.0,354.9453],[55.0,126.0547]]}
-{"canvas_size":[478,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2279","image_path":"images/angle_estimation_2279.png","interior_angles_degrees":[113.988974,31.53597,34.475056],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2279_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2279_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2279_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2279_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2279_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2279,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[155.4933,370.9143],[423.0,370.9143],[55.0,145.0857]]}
-{"canvas_size":[498,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2280","image_path":"images/angle_estimation_2280.png","interior_angles_degrees":[129.610433,20.720829,29.668738],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2280_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2280_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2280_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2280_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2280_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2280,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[176.4672,324.8871],[443.0,324.8871],[55.0,178.1129]]}
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-{"angle_degrees":292.973223,"arc_sweep_degrees":292.973223,"canvas_size":[454,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2283","image_path":"images/angle_estimation_2283.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2283_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_2283_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2283_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"113","question_id":"angle_estimation_2283_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2283_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[333.8911,176.494],[202.2252,135.7812]],"scene_type":"single","seed":2283,"vertex":[227.0,251.5]}
-{"angle_degrees":172.234803,"arc_sweep_degrees":172.234803,"canvas_size":[472,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2284","image_path":"images/angle_estimation_2284.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2284_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_2284_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2284_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"8","question_id":"angle_estimation_2284_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2284_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[275.1366,117.4949],[211.664,401.3488]],"scene_type":"single","seed":2284,"vertex":[236.0,247.5]}
-{"angle_degrees":29.999989,"arc_sweep_degrees":29.999989,"canvas_size":[491,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2285","image_path":"images/angle_estimation_2285.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2285_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2285_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2285_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_2285_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2285_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[370.8748,154.4278],[406.7158,228.7225]],"scene_type":"single","seed":2285,"vertex":[245.5,246.5]}
-{"angle_degrees":131.914238,"arc_sweep_degrees":131.914238,"canvas_size":[474,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2286","image_path":"images/angle_estimation_2286.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2286_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2286_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2286_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"48","question_id":"angle_estimation_2286_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2286_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[271.813,102.8218],[309.802,349.4588]],"scene_type":"single","seed":2286,"vertex":[237.0,241.5]}
-{"angle_degrees":231.780588,"arc_sweep_degrees":231.780588,"canvas_size":[492,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2287","image_path":"images/angle_estimation_2287.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2287_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2287_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2287_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"52","question_id":"angle_estimation_2287_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2287_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[211.5054,130.77],[155.1831,380.986]],"scene_type":"single","seed":2287,"vertex":[246.0,259.5]}
-{"angle_degrees":131.553388,"arc_sweep_degrees":131.553388,"canvas_size":[489,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2288","image_path":"images/angle_estimation_2288.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2288_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2288_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2288_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"48","question_id":"angle_estimation_2288_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2288_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[414.9098,221.6265],[161.5237,394.6117]],"scene_type":"single","seed":2288,"vertex":[244.5,254.5]}
-{"angle_1_degrees":73.865714,"angle_2_degrees":16.730339,"angles":[{"angle_degrees":73.865714,"arc_sweep_degrees":73.865714,"ray_endpoints":[[55.4137,330.1218],[29.3195,186.1999]],"vertex":[133.38,283.86]},{"angle_degrees":16.730339,"arc_sweep_degrees":16.730339,"ray_endpoints":[[382.8007,383.2397],[350.8533,418.5101]],"vertex":[360.62,283.86]}],"canvas_size":[494,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2289","image_path":"images/angle_estimation_2289.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2289_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2289_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2289_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2289_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2289_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2289}
-{"angle_1_degrees":144.703514,"angle_2_degrees":47.321863,"angles":[{"angle_degrees":144.703514,"arc_sweep_degrees":144.703514,"ray_endpoints":[[211.2675,289.1119],[31.9374,322.9845]],"vertex":[132.57,275.31]},{"angle_degrees":47.321863,"arc_sweep_degrees":47.321863,"ray_endpoints":[[286.7152,217.4932],[349.5928,142.3374]],"vertex":[358.43,275.31]}],"canvas_size":[491,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2290","image_path":"images/angle_estimation_2290.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2290_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2290_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2290_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2290_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2290_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2290}
-{"angle_1_degrees":87.356847,"angle_2_degrees":147.361887,"angles":[{"angle_degrees":87.356847,"arc_sweep_degrees":87.356847,"ray_endpoints":[[22.5958,251.935],[126.12,154.4824]],"vertex":[122.58,259.92]},{"angle_degrees":147.361887,"arc_sweep_degrees":147.361887,"ray_endpoints":[[366.3016,158.0603],[356.4493,362.3265]],"vertex":[331.42,259.92]}],"canvas_size":[454,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2291","image_path":"images/angle_estimation_2291.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2291_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2291_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2291_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2291_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2291_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2291}
-{"angle_1_degrees":45.191987,"angle_2_degrees":53.511807,"angles":[{"angle_degrees":45.191987,"arc_sweep_degrees":45.191987,"ray_endpoints":[[23.7902,292.0321],[22.1246,198.2717]],"vertex":[126.63,277.59]},{"angle_degrees":53.511807,"arc_sweep_degrees":53.511807,"ray_endpoints":[[378.4512,352.1386],[286.4609,384.1488]],"vertex":[342.37,277.59]}],"canvas_size":[469,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2292","image_path":"images/angle_estimation_2292.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2292_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2292_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2292_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2292_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2292_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2292}
-{"angle_1_degrees":73.94067,"angle_2_degrees":102.472876,"angles":[{"angle_degrees":73.94067,"arc_sweep_degrees":73.94067,"ray_endpoints":[[180.7452,371.1094],[45.7804,358.034]],"vertex":[131.22,276.45]},{"angle_degrees":102.472876,"arc_sweep_degrees":102.472876,"ray_endpoints":[[276.26,341.3406],[301.8432,172.9943]],"vertex":[354.78,276.45]}],"canvas_size":[486,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2293","image_path":"images/angle_estimation_2293.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2293_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2293_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2293_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2293_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2293_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2293}
-{"angle_1_degrees":73.152225,"angle_2_degrees":148.295993,"angles":[{"angle_degrees":73.152225,"arc_sweep_degrees":73.152225,"ray_endpoints":[[75.9515,201.9993],[211.6744,165.0996]],"vertex":[125.55,273.6]},{"angle_degrees":148.295993,"arc_sweep_degrees":148.295993,"ray_endpoints":[[408.8529,189.5838],[322.5748,395.9196]],"vertex":[339.45,273.6]}],"canvas_size":[465,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2294","image_path":"images/angle_estimation_2294.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2294_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2294_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2294_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2294_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2294_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2294}
-{"angle_1_degrees":66.118026,"angle_2_degrees":21.915382,"angles":[{"angle_degrees":66.118026,"arc_sweep_degrees":66.118026,"ray_endpoints":[[60.3214,218.7325],[160.3597,167.013]],"vertex":[126.09,276.45]},{"angle_degrees":21.915382,"arc_sweep_degrees":21.915382,"ray_endpoints":[[423.48,333.6435],[417.8708,393.2756]],"vertex":[340.91,276.45]}],"canvas_size":[467,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2295","image_path":"images/angle_estimation_2295.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2295_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2295_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2295_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2295_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2295_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2295}
-{"canvas_size":[481,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2296","image_path":"images/angle_estimation_2296.png","interior_angles_degrees":[46.621287,83.004334,50.374379],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2296_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2296_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2296_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2296_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2296_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2296,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,431.7449],[426.0,431.7449],[383.3603,84.2551]]}
-{"canvas_size":[479,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2297","image_path":"images/angle_estimation_2297.png","interior_angles_degrees":[49.931679,66.909232,63.159088],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2297_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2297_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2297_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2297_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2297_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2297,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,407.0645],[424.0,407.0645],[299.8784,115.9355]]}
-{"canvas_size":[488,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2298","image_path":"images/angle_estimation_2298.png","interior_angles_degrees":[49.726291,79.040608,51.233101],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2298_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2298_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2298_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2298_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2298_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2298,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,445.0705],[433.0,445.0705],[362.6796,81.9295]]}
-{"canvas_size":[459,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2299","image_path":"images/angle_estimation_2299.png","interior_angles_degrees":[50.128061,84.458534,45.413405],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2299_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2299_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2299_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2299_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2299_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2299,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,441.168],[404.0,441.168],[367.6821,66.832]]}
-{"canvas_size":[480,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2300","image_path":"images/angle_estimation_2300.png","interior_angles_degrees":[44.57328,83.121247,52.305473],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2300_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2300_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2300_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2300_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2300_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2300,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,416.4031],[425.0,416.4031],[385.6957,90.5969]]}
-{"angle_degrees":161.974973,"arc_sweep_degrees":161.974973,"canvas_size":[469,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2301","image_path":"images/angle_estimation_2301.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2301_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_2301_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2301_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"18","question_id":"angle_estimation_2301_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2301_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[79.8659,325.3022],[338.4082,137.3012]],"scene_type":"single","seed":2301,"vertex":[234.5,244.0]}
-{"angle_degrees":28.777094,"arc_sweep_degrees":28.777094,"canvas_size":[454,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2302","image_path":"images/angle_estimation_2302.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2302_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2302_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2302_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"151","question_id":"angle_estimation_2302_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2302_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[336.5462,345.5402],[277.0532,376.9846]],"scene_type":"single","seed":2302,"vertex":[227.0,259.5]}
-{"angle_degrees":105.405563,"arc_sweep_degrees":105.405563,"canvas_size":[457,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2303","image_path":"images/angle_estimation_2303.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2303_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_2303_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2303_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"75","question_id":"angle_estimation_2303_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2303_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[164.5721,108.4076],[365.6345,212.4292]],"scene_type":"single","seed":2303,"vertex":[228.5,238.5]}
-{"angle_degrees":164.4292,"arc_sweep_degrees":164.4292,"canvas_size":[485,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2304","image_path":"images/angle_estimation_2304.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2304_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_2304_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2304_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"16","question_id":"angle_estimation_2304_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2304_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[358.7462,300.0927],[93.9677,223.5369]],"scene_type":"single","seed":2304,"vertex":[242.5,247.0]}
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-{"angle_degrees":172.480688,"arc_sweep_degrees":172.480688,"canvas_size":[468,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2307","image_path":"images/angle_estimation_2307.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2307_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_2307_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2307_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"8","question_id":"angle_estimation_2307_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2307_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[89.7568,347.3916],[347.8032,161.8997]],"scene_type":"single","seed":2307,"vertex":[234.0,256.5]}
-{"angle_degrees":22.440598,"arc_sweep_degrees":22.440598,"canvas_size":[478,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2308","image_path":"images/angle_estimation_2308.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2308_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_2308_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2308_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"158","question_id":"angle_estimation_2308_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2308_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[168.7798,403.7356],[152.0682,338.1142]],"scene_type":"single","seed":2308,"vertex":[239.0,262.0]}
-{"angle_1_degrees":140.635459,"angle_2_degrees":51.01863,"angles":[{"angle_degrees":140.635459,"arc_sweep_degrees":140.635459,"ray_endpoints":[[139.9229,195.6719],[205.0425,381.8218]],"vertex":[133.11,277.59]},{"angle_degrees":51.01863,"arc_sweep_degrees":51.01863,"ray_endpoints":[[275.3847,262.2862],[297.9498,164.5309]],"vertex":[359.89,277.59]}],"canvas_size":[493,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2309","image_path":"images/angle_estimation_2309.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2309_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2309_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2309_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2309_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2309_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2309}
-{"angle_1_degrees":91.987581,"angle_2_degrees":166.771649,"angles":[{"angle_degrees":91.987581,"arc_sweep_degrees":91.987581,"ray_endpoints":[[193.9904,348.037],[24.3197,370.1574]],"vertex":[126.63,278.16]},{"angle_degrees":166.771649,"arc_sweep_degrees":166.771649,"ray_endpoints":[[426.0797,231.446],[264.2691,349.4558]],"vertex":[342.37,278.16]}],"canvas_size":[469,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2310","image_path":"images/angle_estimation_2310.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2310_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2310_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2310_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2310_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2310_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2310}
-{"angle_1_degrees":50.257031,"angle_2_degrees":30.216561,"angles":[{"angle_degrees":50.257031,"arc_sweep_degrees":50.257031,"ray_endpoints":[[199.1142,341.657],[116.7623,385.3146]],"vertex":[123.93,270.75]},{"angle_degrees":30.216561,"arc_sweep_degrees":30.216561,"ray_endpoints":[[310.8651,177.6082],[370.6126,143.8718]],"vertex":[335.07,270.75]}],"canvas_size":[459,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2311","image_path":"images/angle_estimation_2311.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2311_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2311_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2311_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2311_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2311_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2311}
-{"angle_1_degrees":85.312105,"angle_2_degrees":95.918684,"angles":[{"angle_degrees":85.312105,"arc_sweep_degrees":85.312105,"ray_endpoints":[[193.5286,344.3763],[55.4674,370.6907]],"vertex":[133.92,282.15]},{"angle_degrees":95.918684,"arc_sweep_degrees":95.918684,"ray_endpoints":[[318.8086,196.7228],[473.8658,239.3628]],"vertex":[362.08,282.15]}],"canvas_size":[496,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2312","image_path":"images/angle_estimation_2312.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2312_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2312_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2312_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2312_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2312_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2312}
-{"angle_1_degrees":49.232297,"angle_2_degrees":162.667672,"angles":[{"angle_degrees":49.232297,"arc_sweep_degrees":49.232297,"ray_endpoints":[[47.4303,207.3181],[125.6347,138.9823]],"vertex":[129.06,274.17]},{"angle_degrees":162.667672,"arc_sweep_degrees":162.667672,"ray_endpoints":[[362.122,195.9292],[365.7446,397.3429]],"vertex":[348.94,274.17]}],"canvas_size":[478,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2313","image_path":"images/angle_estimation_2313.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2313_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2313_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_2313_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2313_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2313_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2313}
-{"angle_1_degrees":73.296596,"angle_2_degrees":26.061868,"angles":[{"angle_degrees":73.296596,"arc_sweep_degrees":73.296596,"ray_endpoints":[[166.9556,323.9687],[40.8115,352.1613]],"vertex":[124.74,256.5]},{"angle_degrees":26.061868,"arc_sweep_degrees":26.061868,"ray_endpoints":[[329.8762,342.9688],[265.417,376.3383]],"vertex":[337.26,256.5]}],"canvas_size":[462,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2314","image_path":"images/angle_estimation_2314.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2314_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2314_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2314_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2314_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2314_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2314}
-{"angle_1_degrees":95.214031,"angle_2_degrees":86.334331,"angles":[{"angle_degrees":95.214031,"arc_sweep_degrees":95.214031,"ray_endpoints":[[221.3662,251.0127],[143.1721,392.809]],"vertex":[133.11,266.19]},{"angle_degrees":86.334331,"arc_sweep_degrees":86.334331,"ray_endpoints":[[447.1465,270.8549],[361.3893,408.071]],"vertex":[359.89,266.19]}],"canvas_size":[493,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2315","image_path":"images/angle_estimation_2315.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2315_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2315_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2315_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2315_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2315_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2315}
-{"canvas_size":[492,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2316","image_path":"images/angle_estimation_2316.png","interior_angles_degrees":[90.268774,46.86906,42.862166],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2316_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2316_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2316_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2316_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2316_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2316,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[70.2549,444.0],[423.523,444.0],[68.477,65.0]]}
-{"canvas_size":[474,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2317","image_path":"images/angle_estimation_2317.png","interior_angles_degrees":[90.874095,53.272698,35.853207],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2317_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2317_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2317_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2317_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2317_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2317,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[109.6224,421.0],[369.8091,421.0],[104.1909,65.0]]}
-{"canvas_size":[456,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2318","image_path":"images/angle_estimation_2318.png","interior_angles_degrees":[90.899765,49.693873,39.406362],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2318_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2318_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2318_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2318_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2318_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2318,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[77.2939,434.0],[384.5013,434.0],[71.4987,65.0]]}
-{"canvas_size":[457,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2319","image_path":"images/angle_estimation_2319.png","interior_angles_degrees":[89.465137,52.187352,38.347511],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2319_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2319_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2319_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2319_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2319_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2319,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[88.7044,421.0],[368.2956,421.0],[92.0278,65.0]]}
-{"canvas_size":[481,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2320","image_path":"images/angle_estimation_2320.png","interior_angles_degrees":[90.613406,31.504368,57.882226],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2320_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2320_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2320_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2320_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2320_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2320,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[57.4345,366.694],[426.0,366.694],[55.0,139.306]]}
-{"angle_degrees":43.035096,"arc_sweep_degrees":43.035096,"canvas_size":[472,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2321","image_path":"images/angle_estimation_2321.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2321_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_2321_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2321_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"137","question_id":"angle_estimation_2321_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2321_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[76.6042,270.4335],[124.8429,170.1146]],"scene_type":"single","seed":2321,"vertex":[236.0,245.5]}
-{"angle_degrees":304.919353,"arc_sweep_degrees":304.919353,"canvas_size":[493,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2322","image_path":"images/angle_estimation_2322.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2322_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_2322_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2322_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"125","question_id":"angle_estimation_2322_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2322_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[391.7895,261.1342],[346.9954,133.1871]],"scene_type":"single","seed":2322,"vertex":[246.5,239.5]}
-{"angle_degrees":28.195598,"arc_sweep_degrees":28.195598,"canvas_size":[492,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2323","image_path":"images/angle_estimation_2323.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2323_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2323_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2323_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"152","question_id":"angle_estimation_2323_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2323_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[414.0699,272.829],[360.9852,333.3427]],"scene_type":"single","seed":2323,"vertex":[246.0,249.5]}
-{"angle_degrees":122.294625,"arc_sweep_degrees":122.294625,"canvas_size":[484,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2324","image_path":"images/angle_estimation_2324.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2324_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_2324_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2324_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"58","question_id":"angle_estimation_2324_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2324_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[380.067,238.9359],[166.0429,392.8418]],"scene_type":"single","seed":2324,"vertex":[242.0,249.5]}
-{"angle_degrees":89.999978,"arc_sweep_degrees":89.999978,"canvas_size":[483,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2325","image_path":"images/angle_estimation_2325.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"right","question_id":"angle_estimation_2325_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_2325_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"approximately equal to","question_id":"angle_estimation_2325_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"90","question_id":"angle_estimation_2325_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2325_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[84.5742,198.6115],[279.1041,139.9245]],"scene_type":"single","seed":2325,"vertex":[241.5,251.5]}
-{"angle_degrees":310.59957,"arc_sweep_degrees":310.59957,"canvas_size":[476,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2326","image_path":"images/angle_estimation_2326.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2326_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_2326_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2326_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"131","question_id":"angle_estimation_2326_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2326_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[66.7362,233.0457],[128.7394,353.1734]],"scene_type":"single","seed":2326,"vertex":[238.0,260.0]}
-{"angle_degrees":121.976435,"arc_sweep_degrees":121.976435,"canvas_size":[462,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2327","image_path":"images/angle_estimation_2327.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2327_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_2327_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2327_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"58","question_id":"angle_estimation_2327_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2327_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[338.9102,130.746],[257.4346,351.7927]],"scene_type":"single","seed":2327,"vertex":[231.0,239.5]}
-{"angle_degrees":138.576583,"arc_sweep_degrees":138.576583,"canvas_size":[463,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2328","image_path":"images/angle_estimation_2328.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2328_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2328_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2328_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"41","question_id":"angle_estimation_2328_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2328_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[169.1124,133.8025],[356.75,302.4439]],"scene_type":"single","seed":2328,"vertex":[231.5,254.0]}
-{"angle_1_degrees":89.287317,"angle_2_degrees":134.253345,"angles":[{"angle_degrees":89.287317,"arc_sweep_degrees":89.287317,"ray_endpoints":[[60.2265,347.3012],[37.7839,186.3075]],"vertex":[131.22,263.34]},{"angle_degrees":134.253345,"arc_sweep_degrees":134.253345,"ray_endpoints":[[421.1902,221.4686],[324.8634,403.8206]],"vertex":[354.78,263.34]}],"canvas_size":[486,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2329","image_path":"images/angle_estimation_2329.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2329_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2329_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2329_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2329_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2329_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2329}
-{"angle_1_degrees":14.855044,"angle_2_degrees":76.898692,"angles":[{"angle_degrees":14.855044,"arc_sweep_degrees":14.855044,"ray_endpoints":[[55.4089,327.7301],[30.3762,312.58]],"vertex":[126.09,256.5]},{"angle_degrees":76.898692,"arc_sweep_degrees":76.898692,"ray_endpoints":[[416.8911,202.1288],[441.8164,345.1847]],"vertex":[340.91,256.5]}],"canvas_size":[467,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2330","image_path":"images/angle_estimation_2330.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2330_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2330_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2330_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2330_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2330_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2330}
-{"angle_1_degrees":60.291934,"angle_2_degrees":124.919445,"angles":[{"angle_degrees":60.291934,"arc_sweep_degrees":60.291934,"ray_endpoints":[[135.7483,368.9227],[21.4126,344.2808]],"vertex":[126.09,270.18]},{"angle_degrees":124.919445,"arc_sweep_degrees":124.919445,"ray_endpoints":[[444.6012,223.9432],[320.3529,377.0627]],"vertex":[340.91,270.18]}],"canvas_size":[467,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2331","image_path":"images/angle_estimation_2331.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2331_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2331_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2331_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2331_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2331_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2331}
-{"angle_1_degrees":95.101289,"angle_2_degrees":158.855854,"angles":[{"angle_degrees":95.101289,"arc_sweep_degrees":95.101289,"ray_endpoints":[[34.4901,254.3271],[161.0592,148.2517]],"vertex":[124.2,272.46]},{"angle_degrees":158.855854,"arc_sweep_degrees":158.855854,"ray_endpoints":[[341.4885,360.6375],[285.4229,163.6101]],"vertex":[335.8,272.46]}],"canvas_size":[460,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2332","image_path":"images/angle_estimation_2332.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2332_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2332_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2332_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2332_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2332_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2332}
-{"angle_1_degrees":18.982229,"angle_2_degrees":83.50117,"angles":[{"angle_degrees":18.982229,"arc_sweep_degrees":18.982229,"ray_endpoints":[[92.7742,196.1535],[123.735,155.6024]],"vertex":[122.04,285.0]},{"angle_degrees":83.50117,"arc_sweep_degrees":83.50117,"ray_endpoints":[[252.0284,310.3101],[270.4295,154.3193]],"vertex":[329.96,285.0]}],"canvas_size":[452,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2333","image_path":"images/angle_estimation_2333.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2333_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2333_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2333_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2333_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2333_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2333}
-{"angle_1_degrees":71.530902,"angle_2_degrees":106.742353,"angles":[{"angle_degrees":71.530902,"arc_sweep_degrees":71.530902,"ray_endpoints":[[215.5779,297.8037],[129.1325,397.0197]],"vertex":[131.76,267.9]},{"angle_degrees":106.742353,"arc_sweep_degrees":106.742353,"ray_endpoints":[[453.1297,231.0401],[365.2773,394.409]],"vertex":[356.24,267.9]}],"canvas_size":[488,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2334","image_path":"images/angle_estimation_2334.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2334_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2334_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2334_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2334_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2334_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2334}
-{"angle_1_degrees":56.356337,"angle_2_degrees":78.325645,"angles":[{"angle_degrees":56.356337,"arc_sweep_degrees":56.356337,"ray_endpoints":[[56.7287,280.3144],[46.8964,176.2278]],"vertex":[131.76,268.47]},{"angle_degrees":78.325645,"arc_sweep_degrees":78.325645,"ray_endpoints":[[402.4102,335.1308],[264.2225,365.035]],"vertex":[356.24,268.47]}],"canvas_size":[488,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2335","image_path":"images/angle_estimation_2335.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2335_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2335_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2335_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2335_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2335_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2335}
-{"canvas_size":[479,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2336","image_path":"images/angle_estimation_2336.png","interior_angles_degrees":[129.808989,24.668998,25.522012],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2336_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2336_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2336_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2336_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2336_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2336,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[196.2498,339.2396],[424.0,339.2396],[55.0,169.7604]]}
-{"canvas_size":[488,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2337","image_path":"images/angle_estimation_2337.png","interior_angles_degrees":[115.548755,28.657328,35.793917],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2337_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2337_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2337_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2337_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2337_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2337,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[153.751,351.2916],[433.0,351.2916],[55.0,144.7084]]}
-{"canvas_size":[483,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2338","image_path":"images/angle_estimation_2338.png","interior_angles_degrees":[120.971567,31.96675,27.061682],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2338_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2338_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2338_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2338_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2338_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2338,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[194.7084,373.8877],[428.0,373.8877],[55.0,141.1123]]}
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-{"angle_degrees":230.969673,"arc_sweep_degrees":230.969673,"canvas_size":[485,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2342","image_path":"images/angle_estimation_2342.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2342_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2342_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2342_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"51","question_id":"angle_estimation_2342_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2342_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[189.3745,371.1808],[369.2818,206.0921]],"scene_type":"single","seed":2342,"vertex":[242.5,243.5]}
-{"angle_degrees":279.306276,"arc_sweep_degrees":279.306276,"canvas_size":[482,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2343","image_path":"images/angle_estimation_2343.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2343_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_2343_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2343_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"99","question_id":"angle_estimation_2343_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2343_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[393.2005,200.2827],[229.3721,99.7128]],"scene_type":"single","seed":2343,"vertex":[241.0,238.5]}
-{"angle_degrees":111.322787,"arc_sweep_degrees":111.322787,"canvas_size":[474,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2344","image_path":"images/angle_estimation_2344.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2344_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_2344_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2344_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"69","question_id":"angle_estimation_2344_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2344_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[261.5388,384.127],[113.6772,220.892]],"scene_type":"single","seed":2344,"vertex":[237.0,245.5]}
-{"angle_degrees":90.000034,"arc_sweep_degrees":90.000034,"canvas_size":[491,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2345","image_path":"images/angle_estimation_2345.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"right","question_id":"angle_estimation_2345_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_2345_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"approximately equal to","question_id":"angle_estimation_2345_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"90","question_id":"angle_estimation_2345_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2345_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[368.1189,349.4134],[178.6754,338.9307]],"scene_type":"single","seed":2345,"vertex":[245.5,253.5]}
-{"angle_degrees":68.884892,"arc_sweep_degrees":68.884892,"canvas_size":[474,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2346","image_path":"images/angle_estimation_2346.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2346_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_2346_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2346_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"111","question_id":"angle_estimation_2346_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2346_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[306.2657,380.2343],[165.5367,338.7723]],"scene_type":"single","seed":2346,"vertex":[237.0,254.0]}
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-{"angle_degrees":335.294068,"arc_sweep_degrees":335.294068,"canvas_size":[460,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2348","image_path":"images/angle_estimation_2348.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2348_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_2348_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2348_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"155","question_id":"angle_estimation_2348_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2348_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[101.08,235.1884],[90.6455,295.0251]],"scene_type":"single","seed":2348,"vertex":[230.0,254.0]}
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-{"angle_1_degrees":106.787383,"angle_2_degrees":76.201264,"angles":[{"angle_degrees":106.787383,"arc_sweep_degrees":106.787383,"ray_endpoints":[[225.3654,303.8208],[65.7214,372.2483]],"vertex":[131.49,274.74]},{"angle_degrees":76.201264,"arc_sweep_degrees":76.201264,"ray_endpoints":[[280.9435,298.2292],[286.9451,161.8982]],"vertex":[355.51,274.74]}],"canvas_size":[487,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2350","image_path":"images/angle_estimation_2350.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2350_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2350_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2350_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2350_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2350_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2350}
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-{"angle_1_degrees":85.725564,"angle_2_degrees":15.969298,"angles":[{"angle_degrees":85.725564,"arc_sweep_degrees":85.725564,"ray_endpoints":[[75.0668,367.9298],[27.0562,228.7965]],"vertex":[128.52,281.58]},{"angle_degrees":15.969298,"arc_sweep_degrees":15.969298,"ray_endpoints":[[363.2136,375.0268],[331.723,421.7902]],"vertex":[347.48,281.58]}],"canvas_size":[476,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2352","image_path":"images/angle_estimation_2352.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2352_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2352_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2352_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2352_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2352_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2352}
-{"angle_1_degrees":22.119297,"angle_2_degrees":155.969115,"angles":[{"angle_degrees":22.119297,"arc_sweep_degrees":22.119297,"ray_endpoints":[[98.5091,196.3976],[123.627,141.9666]],"vertex":[132.03,265.05]},{"angle_degrees":155.969115,"arc_sweep_degrees":155.969115,"ray_endpoints":[[298.8919,328.1538],[398.4215,141.8387]],"vertex":[356.97,265.05]}],"canvas_size":[489,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2353","image_path":"images/angle_estimation_2353.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2353_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2353_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_2353_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2353_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2353_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2353}
-{"angle_1_degrees":137.75771,"angle_2_degrees":93.524158,"angles":[{"angle_degrees":137.75771,"arc_sweep_degrees":137.75771,"ray_endpoints":[[53.03,350.897],[125.5645,136.8058]],"vertex":[128.25,264.48]},{"angle_degrees":93.524158,"arc_sweep_degrees":93.524158,"ray_endpoints":[[444.7607,222.9359],[394.481,399.6683]],"vertex":[346.75,264.48]}],"canvas_size":[475,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2354","image_path":"images/angle_estimation_2354.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2354_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2354_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2354_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2354_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2354_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2354}
-{"angle_1_degrees":28.322605,"angle_2_degrees":49.61752,"angles":[{"angle_degrees":28.322605,"arc_sweep_degrees":28.322605,"ray_endpoints":[[37.2426,273.2616],[16.9093,221.4546]],"vertex":[126.36,257.07]},{"angle_degrees":49.61752,"arc_sweep_degrees":49.61752,"ray_endpoints":[[444.1571,252.2437],[423.9725,345.1206]],"vertex":[341.64,257.07]}],"canvas_size":[468,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2355","image_path":"images/angle_estimation_2355.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2355_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2355_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2355_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2355_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2355_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2355}
-{"canvas_size":[474,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2356","image_path":"images/angle_estimation_2356.png","interior_angles_degrees":[52.05147,59.567884,68.380646],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2356_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2356_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2356_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2356_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2356_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2356,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,390.11],[419.0,390.11],[262.609,123.89]]}
-{"canvas_size":[500,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2357","image_path":"images/angle_estimation_2357.png","interior_angles_degrees":[49.140836,43.782818,87.076346],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2357_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2357_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2357_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2357_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2357_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2357,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,352.68],[445.0,352.68],[231.7674,148.32]]}
-{"canvas_size":[496,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2358","image_path":"images/angle_estimation_2358.png","interior_angles_degrees":[64.742855,60.299201,54.957944],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2358_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2358_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2358_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2358_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2358_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2358,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,443.1867],[441.0,443.1867],[229.7359,72.8133]]}
-{"canvas_size":[485,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2359","image_path":"images/angle_estimation_2359.png","interior_angles_degrees":[59.437266,54.860157,65.702576],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2359_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2359_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2359_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2359_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2359_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2359,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,387.3579],[430.0,387.3579],[226.0832,97.6421]]}
-{"canvas_size":[479,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2360","image_path":"images/angle_estimation_2360.png","interior_angles_degrees":[51.281846,54.351498,74.366657],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2360_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2360_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2360_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2360_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2360_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2360,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,367.4709],[424.0,367.4709],[249.7595,124.5291]]}
-{"angle_degrees":24.847989,"arc_sweep_degrees":24.847989,"canvas_size":[498,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2361","image_path":"images/angle_estimation_2361.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2361_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2361_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2361_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"155","question_id":"angle_estimation_2361_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2361_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[123.1754,264.2551],[142.1356,214.1088]],"scene_type":"single","seed":2361,"vertex":[249.0,245.5]}
-{"angle_degrees":145.742298,"arc_sweep_degrees":145.742298,"canvas_size":[492,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2362","image_path":"images/angle_estimation_2362.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2362_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_2362_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2362_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"34","question_id":"angle_estimation_2362_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2362_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[261.4044,379.6596],[167.9439,164.9835]],"scene_type":"single","seed":2362,"vertex":[246.0,254.0]}
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-{"angle_degrees":30.000014,"arc_sweep_degrees":30.000014,"canvas_size":[486,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2365","image_path":"images/angle_estimation_2365.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2365_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2365_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2365_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_2365_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2365_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[188.3925,374.3996],[118.9135,344.6523]],"scene_type":"single","seed":2365,"vertex":[243.0,258.5]}
-{"angle_degrees":148.92883,"arc_sweep_degrees":148.92883,"canvas_size":[473,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2366","image_path":"images/angle_estimation_2366.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2366_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_2366_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2366_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"31","question_id":"angle_estimation_2366_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2366_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[303.7474,143.651],[233.2322,401.5654]],"scene_type":"single","seed":2366,"vertex":[236.5,250.0]}
-{"angle_degrees":222.531983,"arc_sweep_degrees":222.531983,"canvas_size":[474,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2367","image_path":"images/angle_estimation_2367.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2367_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2367_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2367_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"43","question_id":"angle_estimation_2367_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2367_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[119.0015,327.7933],[376.1172,291.2327]],"scene_type":"single","seed":2367,"vertex":[237.0,260.0]}
-{"angle_degrees":113.052317,"arc_sweep_degrees":113.052317,"canvas_size":[472,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2368","image_path":"images/angle_estimation_2368.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2368_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_2368_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2368_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"67","question_id":"angle_estimation_2368_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2368_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[69.3147,280.194],[261.5348,122.3732]],"scene_type":"single","seed":2368,"vertex":[236.0,246.5]}
-{"angle_1_degrees":156.092482,"angle_2_degrees":11.116613,"angles":[{"angle_degrees":156.092482,"arc_sweep_degrees":156.092482,"ray_endpoints":[[142.1366,146.3319],[158.7476,361.4642]],"vertex":[127.98,259.35]},{"angle_degrees":11.116613,"arc_sweep_degrees":11.116613,"ray_endpoints":[[432.0573,269.6244],[457.1231,295.2921]],"vertex":[346.02,259.35]}],"canvas_size":[474,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2369","image_path":"images/angle_estimation_2369.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2369_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2369_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_2369_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2369_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2369_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2369}
-{"angle_1_degrees":12.421699,"angle_2_degrees":49.665672,"angles":[{"angle_degrees":12.421699,"arc_sweep_degrees":12.421699,"ray_endpoints":[[98.7287,182.771],[112.1808,148.2034]],"vertex":[127.98,261.63]},{"angle_degrees":49.665672,"arc_sweep_degrees":49.665672,"ray_endpoints":[[267.2388,224.0602],[317.412,153.6463]],"vertex":[346.02,261.63]}],"canvas_size":[474,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2370","image_path":"images/angle_estimation_2370.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2370_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2370_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2370_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2370_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2370_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2370}
-{"angle_1_degrees":54.426625,"angle_2_degrees":33.422464,"angles":[{"angle_degrees":54.426625,"arc_sweep_degrees":54.426625,"ray_endpoints":[[116.4593,191.6238],[205.0726,199.2093]],"vertex":[131.22,274.74]},{"angle_degrees":33.422464,"arc_sweep_degrees":33.422464,"ray_endpoints":[[441.0486,286.1691],[460.011,366.1167]],"vertex":[354.78,274.74]}],"canvas_size":[486,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2371","image_path":"images/angle_estimation_2371.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2371_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2371_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2371_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2371_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2371_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2371}
-{"angle_1_degrees":134.197947,"angle_2_degrees":43.738248,"angles":[{"angle_degrees":134.197947,"arc_sweep_degrees":134.197947,"ray_endpoints":[[88.9413,347.2534],[96.2944,156.3305]],"vertex":[130.14,275.88]},{"angle_degrees":43.738248,"arc_sweep_degrees":43.738248,"ray_endpoints":[[375.1836,186.9958],[462.6715,207.8187]],"vertex":[351.86,275.88]}],"canvas_size":[482,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2372","image_path":"images/angle_estimation_2372.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2372_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2372_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2372_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2372_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2372_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2372}
-{"angle_1_degrees":22.186125,"angle_2_degrees":105.828929,"angles":[{"angle_degrees":22.186125,"arc_sweep_degrees":22.186125,"ray_endpoints":[[112.0714,367.2996],[61.3977,371.5263]],"vertex":[128.25,258.78]},{"angle_degrees":105.828929,"arc_sweep_degrees":105.828929,"ray_endpoints":[[263.3981,241.8464],[401.9728,151.8461]],"vertex":[346.75,258.78]}],"canvas_size":[475,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2373","image_path":"images/angle_estimation_2373.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2373_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2373_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2373_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2373_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2373_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2373}
-{"angle_1_degrees":64.121348,"angle_2_degrees":22.148843,"angles":[{"angle_degrees":64.121348,"arc_sweep_degrees":64.121348,"ray_endpoints":[[145.5824,351.4946],[17.4042,363.924]],"vertex":[127.17,274.17]},{"angle_degrees":22.148843,"arc_sweep_degrees":22.148843,"ray_endpoints":[[404.948,367.1142],[370.7831,410.5533]],"vertex":[343.83,274.17]}],"canvas_size":[471,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2374","image_path":"images/angle_estimation_2374.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2374_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2374_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2374_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2374_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2374_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2374}
-{"angle_1_degrees":33.363232,"angle_2_degrees":136.584949,"angles":[{"angle_degrees":33.363232,"arc_sweep_degrees":33.363232,"ray_endpoints":[[162.0001,364.564],[101.201,398.5439]],"vertex":[125.82,275.31]},{"angle_degrees":136.584949,"arc_sweep_degrees":136.584949,"ray_endpoints":[[282.9024,336.3],[339.6874,142.7826]],"vertex":[340.18,275.31]}],"canvas_size":[466,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2375","image_path":"images/angle_estimation_2375.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2375_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2375_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2375_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2375_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2375_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2375}
-{"canvas_size":[495,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2376","image_path":"images/angle_estimation_2376.png","interior_angles_degrees":[90.30956,35.130816,54.559624],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2376_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2376_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2376_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2376_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2376_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2376,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.4636,395.446],[440.0,395.446],[55.0,124.554]]}
-{"canvas_size":[479,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2377","image_path":"images/angle_estimation_2377.png","interior_angles_degrees":[90.721527,43.031887,46.246587],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2377_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2377_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2377_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2377_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2377_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2377,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[59.3383,422.7411],[424.0,422.7411],[55.0,78.2589]]}
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-{"canvas_size":[476,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2380","image_path":"images/angle_estimation_2380.png","interior_angles_degrees":[90.419289,34.567776,55.012935],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2380_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2380_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2380_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2380_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2380_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2380,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.8455,390.0914],[421.0,390.0914],[55.0,137.9086]]}
-{"angle_degrees":288.579871,"arc_sweep_degrees":288.579871,"canvas_size":[463,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2381","image_path":"images/angle_estimation_2381.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2381_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_2381_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2381_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"109","question_id":"angle_estimation_2381_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2381_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[361.7346,311.2395],[330.7244,148.2606]],"scene_type":"single","seed":2381,"vertex":[231.5,240.5]}
-{"angle_degrees":226.675962,"arc_sweep_degrees":226.675962,"canvas_size":[481,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2382","image_path":"images/angle_estimation_2382.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2382_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2382_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2382_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"47","question_id":"angle_estimation_2382_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2382_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[112.3913,138.9866],[242.7326,417.5857]],"scene_type":"single","seed":2382,"vertex":[240.5,256.5]}
-{"angle_degrees":10.93375,"arc_sweep_degrees":10.93375,"canvas_size":[476,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2383","image_path":"images/angle_estimation_2383.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2383_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_2383_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2383_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"169","question_id":"angle_estimation_2383_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2383_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[236.2424,373.1666],[213.6786,359.4286]],"scene_type":"single","seed":2383,"vertex":[238.0,242.0]}
-{"angle_degrees":295.167825,"arc_sweep_degrees":295.167825,"canvas_size":[474,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2384","image_path":"images/angle_estimation_2384.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2384_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_2384_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2384_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"115","question_id":"angle_estimation_2384_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2384_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[214.6014,370.9634],[336.5149,312.9305]],"scene_type":"single","seed":2384,"vertex":[237.0,243.0]}
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-{"angle_degrees":68.258396,"arc_sweep_degrees":68.258396,"canvas_size":[450,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2387","image_path":"images/angle_estimation_2387.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2387_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_2387_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2387_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"112","question_id":"angle_estimation_2387_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2387_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[241.1002,80.2085],[338.193,207.568]],"scene_type":"single","seed":2387,"vertex":[225.0,240.0]}
-{"angle_degrees":342.520422,"arc_sweep_degrees":342.520422,"canvas_size":[460,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2388","image_path":"images/angle_estimation_2388.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2388_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_2388_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2388_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"163","question_id":"angle_estimation_2388_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2388_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[218.2813,399.129],[258.0781,378.9352]],"scene_type":"single","seed":2388,"vertex":[230.0,255.5]}
-{"angle_1_degrees":121.218939,"angle_2_degrees":14.633532,"angles":[{"angle_degrees":121.218939,"arc_sweep_degrees":121.218939,"ray_endpoints":[[51.8203,298.1183],[176.0409,173.3802]],"vertex":[134.73,282.72]},{"angle_degrees":14.633532,"arc_sweep_degrees":14.633532,"ray_endpoints":[[313.0303,381.6856],[290.7615,364.3408]],"vertex":[364.27,282.72]}],"canvas_size":[499,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2389","image_path":"images/angle_estimation_2389.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2389_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2389_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_2389_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2389_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2389_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2389}
-{"angle_1_degrees":25.511496,"angle_2_degrees":53.70283,"angles":[{"angle_degrees":25.511496,"arc_sweep_degrees":25.511496,"ray_endpoints":[[140.6862,367.5747],[83.8068,401.8035]],"vertex":[129.87,269.61]},{"angle_degrees":53.70283,"arc_sweep_degrees":53.70283,"ray_endpoints":[[301.2295,200.3116],[395.4473,132.7756]],"vertex":[351.13,269.61]}],"canvas_size":[481,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2390","image_path":"images/angle_estimation_2390.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2390_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2390_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2390_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2390_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2390_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2390}
-{"angle_1_degrees":88.288874,"angle_2_degrees":98.051212,"angles":[{"angle_degrees":88.288874,"arc_sweep_degrees":88.288874,"ray_endpoints":[[203.9512,265.8918],[120.9829,371.4977]],"vertex":[125.28,260.49]},{"angle_degrees":98.051212,"arc_sweep_degrees":98.051212,"ray_endpoints":[[436.8867,214.0036],[378.513,388.3412]],"vertex":[338.72,260.49]}],"canvas_size":[464,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2391","image_path":"images/angle_estimation_2391.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2391_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2391_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2391_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2391_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2391_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2391}
-{"angle_1_degrees":73.729279,"angle_2_degrees":145.958546,"angles":[{"angle_degrees":73.729279,"arc_sweep_degrees":73.729279,"ray_endpoints":[[35.689,238.8531],[147.1228,163.563]],"vertex":[126.36,283.29]},{"angle_degrees":145.958546,"arc_sweep_degrees":145.958546,"ray_endpoints":[[324.2966,360.9846],[300.5542,178.7624]],"vertex":[341.64,283.29]}],"canvas_size":[468,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2392","image_path":"images/angle_estimation_2392.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2392_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2392_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2392_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2392_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2392_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2392}
-{"angle_1_degrees":63.057568,"angle_2_degrees":29.510062,"angles":[{"angle_degrees":63.057568,"arc_sweep_degrees":63.057568,"ray_endpoints":[[75.6547,187.2692],[178.3772,172.066]],"vertex":[122.04,263.34]},{"angle_degrees":29.510062,"arc_sweep_degrees":29.510062,"ray_endpoints":[[386.139,335.4415],[349.6102,396.1794]],"vertex":[329.96,263.34]}],"canvas_size":[452,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2393","image_path":"images/angle_estimation_2393.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2393_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2393_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2393_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2393_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2393_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2393}
-{"angle_1_degrees":105.711388,"angle_2_degrees":84.441459,"angles":[{"angle_degrees":105.711388,"arc_sweep_degrees":105.711388,"ray_endpoints":[[190.2237,172.8811],[219.5339,370.105]],"vertex":[129.06,268.47]},{"angle_degrees":84.441459,"arc_sweep_degrees":84.441459,"ray_endpoints":[[434.7725,231.6315],[411.1104,381.6179]],"vertex":[348.94,268.47]}],"canvas_size":[478,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2394","image_path":"images/angle_estimation_2394.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2394_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2394_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2394_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2394_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2394_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2394}
-{"angle_1_degrees":114.881461,"angle_2_degrees":96.596745,"angles":[{"angle_degrees":114.881461,"arc_sweep_degrees":114.881461,"ray_endpoints":[[119.2714,362.0082],[35.5542,207.9799]],"vertex":[133.65,274.74]},{"angle_degrees":96.596745,"arc_sweep_degrees":96.596745,"ray_endpoints":[[277.0377,285.417],[360.2002,168.5849]],"vertex":[361.35,274.74]}],"canvas_size":[495,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2395","image_path":"images/angle_estimation_2395.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2395_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2395_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2395_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2395_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2395_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2395}
-{"canvas_size":[483,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2396","image_path":"images/angle_estimation_2396.png","interior_angles_degrees":[127.964121,21.50327,30.532609],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2396_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2396_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2396_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2396_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2396_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2396,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[169.6643,317.9766],[428.0,317.9766],[55.0,171.0234]]}
-{"canvas_size":[454,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2397","image_path":"images/angle_estimation_2397.png","interior_angles_degrees":[121.639172,27.597821,30.763006],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2397_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2397_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2397_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2397_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2397_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2397,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[165.7969,352.4111],[399.0,352.4111],[55.0,172.5889]]}
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-{"canvas_size":[454,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2400","image_path":"images/angle_estimation_2400.png","interior_angles_degrees":[99.895535,41.42947,38.674995],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2400_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2400_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2400_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2400_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2400_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2400,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[107.9608,394.2957],[399.0,394.2957],[55.0,90.7043]]}
-{"angle_degrees":312.261599,"arc_sweep_degrees":312.261599,"canvas_size":[453,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2401","image_path":"images/angle_estimation_2401.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2401_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_2401_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2401_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"132","question_id":"angle_estimation_2401_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2401_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[204.9087,126.46],[117.6309,189.4995]],"scene_type":"single","seed":2401,"vertex":[226.5,260.5]}
-{"angle_degrees":103.169887,"arc_sweep_degrees":103.169887,"canvas_size":[493,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2402","image_path":"images/angle_estimation_2402.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2402_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_2402_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2402_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"77","question_id":"angle_estimation_2402_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2402_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[192.573,370.2736],[137.6695,161.3643]],"scene_type":"single","seed":2402,"vertex":[246.5,239.0]}
-{"angle_degrees":329.468097,"arc_sweep_degrees":329.468097,"canvas_size":[455,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2403","image_path":"images/angle_estimation_2403.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2403_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_2403_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2403_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"149","question_id":"angle_estimation_2403_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2403_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[282.0667,380.0272],[323.7791,327.1918]],"scene_type":"single","seed":2403,"vertex":[227.5,259.5]}
-{"angle_degrees":219.454493,"arc_sweep_degrees":219.454493,"canvas_size":[477,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2404","image_path":"images/angle_estimation_2404.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2404_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2404_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2404_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"39","question_id":"angle_estimation_2404_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2404_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[401.7167,262.7663],[159.1112,187.749]],"scene_type":"single","seed":2404,"vertex":[238.5,257.5]}
-{"angle_degrees":90.000034,"arc_sweep_degrees":90.000034,"canvas_size":[465,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2405","image_path":"images/angle_estimation_2405.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"right","question_id":"angle_estimation_2405_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_2405_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"approximately equal to","question_id":"angle_estimation_2405_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"90","question_id":"angle_estimation_2405_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2405_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[295.8132,384.864],[109.4913,310.6168]],"scene_type":"single","seed":2405,"vertex":[232.5,252.0]}
-{"angle_degrees":120.602663,"arc_sweep_degrees":120.602663,"canvas_size":[476,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2406","image_path":"images/angle_estimation_2406.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2406_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_2406_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2406_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"59","question_id":"angle_estimation_2406_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2406_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[112.3092,316.1196],[251.2147,93.244]],"scene_type":"single","seed":2406,"vertex":[238.0,255.0]}
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-{"angle_degrees":120.780793,"arc_sweep_degrees":120.780793,"canvas_size":[474,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2408","image_path":"images/angle_estimation_2408.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2408_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_2408_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2408_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"59","question_id":"angle_estimation_2408_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2408_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[349.9144,302.2943],[115.6442,304.7678]],"scene_type":"single","seed":2408,"vertex":[237.0,237.0]}
-{"angle_1_degrees":31.088392,"angle_2_degrees":49.701592,"angles":[{"angle_degrees":31.088392,"arc_sweep_degrees":31.088392,"ray_endpoints":[[57.2408,206.8468],[96.7518,142.7776]],"vertex":[128.25,280.44]},{"angle_degrees":49.701592,"arc_sweep_degrees":49.701592,"ray_endpoints":[[451.9822,304.1282],[412.6232,406.3777]],"vertex":[346.75,280.44]}],"canvas_size":[475,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2409","image_path":"images/angle_estimation_2409.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2409_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2409_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2409_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2409_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2409_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2409}
-{"angle_1_degrees":14.98828,"angle_2_degrees":161.562574,"angles":[{"angle_degrees":14.98828,"arc_sweep_degrees":14.98828,"ray_endpoints":[[61.8362,359.0513],[16.9797,360.6158]],"vertex":[123.12,281.01]},{"angle_degrees":161.562574,"arc_sweep_degrees":161.562574,"ray_endpoints":[[348.4351,373.192],[266.0477,155.3986]],"vertex":[332.88,281.01]}],"canvas_size":[456,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2410","image_path":"images/angle_estimation_2410.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2410_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2410_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"150","question_id":"angle_estimation_2410_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2410_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2410_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2410}
-{"angle_1_degrees":46.741937,"angle_2_degrees":92.240634,"angles":[{"angle_degrees":46.741937,"arc_sweep_degrees":46.741937,"ray_endpoints":[[63.7008,228.1284],[110.3109,132.4935]],"vertex":[123.12,274.74]},{"angle_degrees":92.240634,"arc_sweep_degrees":92.240634,"ray_endpoints":[[412.2447,354.1589],[246.6941,354.381]],"vertex":[332.88,274.74]}],"canvas_size":[456,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2411","image_path":"images/angle_estimation_2411.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2411_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2411_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2411_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2411_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2411_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2411}
-{"angle_1_degrees":13.97456,"angle_2_degrees":79.925056,"angles":[{"angle_degrees":13.97456,"arc_sweep_degrees":13.97456,"ray_endpoints":[[164.1143,193.0493],[215.7555,162.6823]],"vertex":[127.17,273.6]},{"angle_degrees":79.925056,"arc_sweep_degrees":79.925056,"ray_endpoints":[[419.9613,269.7808],[368.2556,379.8486]],"vertex":[343.83,273.6]}],"canvas_size":[471,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2412","image_path":"images/angle_estimation_2412.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2412_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2412_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2412_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2412_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2412_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2412}
-{"angle_1_degrees":81.879408,"angle_2_degrees":99.605644,"angles":[{"angle_degrees":81.879408,"arc_sweep_degrees":81.879408,"ray_endpoints":[[197.9168,241.0033],[202.0316,376.117]],"vertex":[128.79,279.3]},{"angle_degrees":99.605644,"arc_sweep_degrees":99.605644,"ray_endpoints":[[288.4947,376.8684],[261.7934,203.9837]],"vertex":[348.21,279.3]}],"canvas_size":[477,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2413","image_path":"images/angle_estimation_2413.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2413_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2413_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2413_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2413_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2413_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2413}
-{"angle_1_degrees":90.17634,"angle_2_degrees":59.649161,"angles":[{"angle_degrees":90.17634,"arc_sweep_degrees":90.17634,"ray_endpoints":[[202.9521,348.4311],[43.6863,362.7373]],"vertex":[124.2,275.88]},{"angle_degrees":59.649161,"arc_sweep_degrees":59.649161,"ray_endpoints":[[255.8998,210.5814],[353.4985,162.9454]],"vertex":[335.8,275.88]}],"canvas_size":[460,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2414","image_path":"images/angle_estimation_2414.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2414_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2414_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2414_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2414_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2414_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2414}
-{"angle_1_degrees":12.101905,"angle_2_degrees":69.945123,"angles":[{"angle_degrees":12.101905,"arc_sweep_degrees":12.101905,"ray_endpoints":[[45.5163,252.7722],[17.9056,223.5905]],"vertex":[130.68,264.48]},{"angle_degrees":69.945123,"arc_sweep_degrees":69.945123,"ray_endpoints":[[275.965,235.3449],[354.7624,122.8697]],"vertex":[353.32,264.48]}],"canvas_size":[484,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2415","image_path":"images/angle_estimation_2415.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2415_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2415_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2415_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2415_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2415_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2415}
-{"canvas_size":[490,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2416","image_path":"images/angle_estimation_2416.png","interior_angles_degrees":[51.376834,42.368445,86.254721],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2416_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2416_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2416_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2416_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2416_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2416,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,350.2478],[435.0,350.2478],[215.1863,149.7522]]}
-{"canvas_size":[482,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2417","image_path":"images/angle_estimation_2417.png","interior_angles_degrees":[58.299657,65.821614,55.878729],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2417_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2417_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2417_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2417_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2417_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2417,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,414.8883],[427.0,414.8883],[270.4117,66.1117]]}
-{"canvas_size":[500,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2418","image_path":"images/angle_estimation_2418.png","interior_angles_degrees":[74.563026,43.271269,62.165705],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2418_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2418_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2418_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2418_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2418_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2418,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,404.6984],[445.0,404.6984],[135.4664,113.3016]]}
-{"canvas_size":[452,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2419","image_path":"images/angle_estimation_2419.png","interior_angles_degrees":[51.011923,56.157864,72.830214],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2419_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2419_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2419_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2419_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2419_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2419,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,361.0447],[397.0,361.0447],[242.0529,129.9553]]}
-{"canvas_size":[471,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2420","image_path":"images/angle_estimation_2420.png","interior_angles_degrees":[63.992172,43.95492,72.052908],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2420_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2420_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2420_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2420_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2420_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2420,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,379.8557],[416.0,379.8557],[170.4919,143.1443]]}
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-{"angle_degrees":17.786188,"arc_sweep_degrees":17.786188,"canvas_size":[481,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2422","image_path":"images/angle_estimation_2422.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2422_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_2422_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2422_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"162","question_id":"angle_estimation_2422_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2422_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[354.8021,144.983],[376.8671,187.9069]],"scene_type":"single","seed":2422,"vertex":[240.5,254.0]}
-{"angle_degrees":316.586199,"arc_sweep_degrees":316.586199,"canvas_size":[496,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2423","image_path":"images/angle_estimation_2423.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2423_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_2423_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2423_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"137","question_id":"angle_estimation_2423_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2423_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[322.5579,386.9913],[382.1344,290.3118]],"scene_type":"single","seed":2423,"vertex":[248.0,244.0]}
-{"angle_degrees":10.386944,"arc_sweep_degrees":10.386944,"canvas_size":[468,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2424","image_path":"images/angle_estimation_2424.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2424_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_2424_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2424_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"170","question_id":"angle_estimation_2424_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2424_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[73.3408,289.6114],[78.5741,259.6516]],"scene_type":"single","seed":2424,"vertex":[234.0,253.0]}
-{"angle_degrees":59.999987,"arc_sweep_degrees":59.999987,"canvas_size":[467,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2425","image_path":"images/angle_estimation_2425.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2425_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_2425_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2425_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_2425_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2425_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[114.8057,303.2061],[126.4731,169.8315]],"scene_type":"single","seed":2425,"vertex":[233.5,261.0]}
-{"angle_degrees":347.974211,"arc_sweep_degrees":347.974211,"canvas_size":[484,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2426","image_path":"images/angle_estimation_2426.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2426_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_2426_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2426_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"168","question_id":"angle_estimation_2426_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2426_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[224.002,133.3449],[188.8996,113.9994]],"scene_type":"single","seed":2426,"vertex":[242.0,258.0]}
-{"angle_degrees":341.095928,"arc_sweep_degrees":341.095928,"canvas_size":[492,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2427","image_path":"images/angle_estimation_2427.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2427_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_2427_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2427_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"161","question_id":"angle_estimation_2427_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2427_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[254.7713,413.5735],[294.7691,378.3553]],"scene_type":"single","seed":2427,"vertex":[246.0,258.5]}
-{"angle_degrees":227.481224,"arc_sweep_degrees":227.481224,"canvas_size":[470,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2428","image_path":"images/angle_estimation_2428.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2428_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2428_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2428_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"47","question_id":"angle_estimation_2428_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2428_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[315.8163,391.4941],[277.9933,107.6432]],"scene_type":"single","seed":2428,"vertex":[235.0,261.5]}
-{"angle_1_degrees":43.63509,"angle_2_degrees":128.587133,"angles":[{"angle_degrees":43.63509,"arc_sweep_degrees":43.63509,"ray_endpoints":[[63.9954,219.189],[126.2258,161.3334]],"vertex":[127.44,284.43]},{"angle_degrees":128.587133,"arc_sweep_degrees":128.587133,"ray_endpoints":[[418.7723,269.7077],[282.721,403.9008]],"vertex":[344.56,284.43]}],"canvas_size":[472,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2429","image_path":"images/angle_estimation_2429.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2429_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2429_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2429_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2429_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2429_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2429}
-{"angle_1_degrees":50.62532,"angle_2_degrees":15.857995,"angles":[{"angle_degrees":50.62532,"arc_sweep_degrees":50.62532,"ray_endpoints":[[204.9367,285.0511],[206.6826,392.365]],"vertex":[123.39,281.58]},{"angle_degrees":15.857995,"arc_sweep_degrees":15.857995,"ray_endpoints":[[301.5691,187.0266],[327.1505,152.3608]],"vertex":[333.61,281.58]}],"canvas_size":[457,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2430","image_path":"images/angle_estimation_2430.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2430_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2430_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2430_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2430_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2430_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2430}
-{"angle_1_degrees":41.957868,"angle_2_degrees":56.416918,"angles":[{"angle_degrees":41.957868,"arc_sweep_degrees":41.957868,"ray_endpoints":[[109.9095,368.5174],[22.3892,350.3858]],"vertex":[127.98,268.47]},{"angle_degrees":56.416918,"arc_sweep_degrees":56.416918,"ray_endpoints":[[404.2489,354.6386],[299.3989,381.7617]],"vertex":[346.02,268.47]}],"canvas_size":[474,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2431","image_path":"images/angle_estimation_2431.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2431_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2431_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2431_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2431_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2431_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2431}
-{"angle_1_degrees":137.420835,"angle_2_degrees":52.800473,"angles":[{"angle_degrees":137.420835,"arc_sweep_degrees":137.420835,"ray_endpoints":[[153.5577,352.2561],[36.1929,205.0221]],"vertex":[132.57,268.47]},{"angle_degrees":52.800473,"arc_sweep_degrees":52.800473,"ray_endpoints":[[276.3734,205.6493],[358.9781,136.1521]],"vertex":[358.43,268.47]}],"canvas_size":[491,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2432","image_path":"images/angle_estimation_2432.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2432_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2432_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2432_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2432_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2432_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2432}
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-{"angle_1_degrees":10.159424,"angle_2_degrees":80.840551,"angles":[{"angle_degrees":10.159424,"arc_sweep_degrees":10.159424,"ray_endpoints":[[80.7395,369.357],[53.2792,374.8541]],"vertex":[127.98,273.6]},{"angle_degrees":80.840551,"arc_sweep_degrees":80.840551,"ray_endpoints":[[272.8564,334.2737],[258.3106,196.8918]],"vertex":[346.02,273.6]}],"canvas_size":[474,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2434","image_path":"images/angle_estimation_2434.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2434_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2434_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2434_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2434_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2434_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2434}
-{"angle_1_degrees":62.241163,"angle_2_degrees":128.677968,"angles":[{"angle_degrees":62.241163,"arc_sweep_degrees":62.241163,"ray_endpoints":[[189.7105,364.8357],[57.0505,383.7357]],"vertex":[132.84,265.05]},{"angle_degrees":128.677968,"arc_sweep_degrees":128.677968,"ray_endpoints":[[281.0282,263.9165],[448.6852,156.4825]],"vertex":[359.16,265.05]}],"canvas_size":[492,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2435","image_path":"images/angle_estimation_2435.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2435_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2435_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2435_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2435_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2435_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2435}
-{"canvas_size":[500,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2436","image_path":"images/angle_estimation_2436.png","interior_angles_degrees":[90.442949,46.034645,43.522406],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2436_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2436_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2436_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2436_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2436_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2436,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[82.0166,419.0],[420.7202,419.0],[79.2798,65.0]]}
-{"canvas_size":[482,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2437","image_path":"images/angle_estimation_2437.png","interior_angles_degrees":[89.626824,44.683902,45.689274],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2437_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2437_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2437_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2437_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2437_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2437,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,444.2815],[427.0,444.2815],[57.381,78.7185]]}
-{"canvas_size":[479,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2438","image_path":"images/angle_estimation_2438.png","interior_angles_degrees":[89.930291,24.69203,65.377679],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2438_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2438_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2438_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2438_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2438_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2438,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,331.282],[424.0,331.282],[55.2063,161.718]]}
-{"canvas_size":[451,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2439","image_path":"images/angle_estimation_2439.png","interior_angles_degrees":[90.099228,44.870431,45.030341],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2439_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2439_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2439_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2439_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2439_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2439,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.5879,431.2306],[396.0,431.2306],[55.0,91.7694]]}
-{"canvas_size":[481,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2440","image_path":"images/angle_estimation_2440.png","interior_angles_degrees":[90.113938,33.628382,56.25768],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2440_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2440_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2440_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2440_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2440_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2440,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.4907,387.8784],[426.0,387.8784],[55.0,141.1216]]}
-{"angle_degrees":133.777773,"arc_sweep_degrees":133.777773,"canvas_size":[474,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2441","image_path":"images/angle_estimation_2441.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2441_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2441_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2441_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"46","question_id":"angle_estimation_2441_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2441_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[327.0739,350.319],[102.7884,237.4045]],"scene_type":"single","seed":2441,"vertex":[237.0,245.0]}
-{"angle_degrees":48.181737,"arc_sweep_degrees":48.181737,"canvas_size":[471,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2442","image_path":"images/angle_estimation_2442.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2442_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_2442_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2442_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"132","question_id":"angle_estimation_2442_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2442_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[359.2845,158.5383],[347.6823,278.123]],"scene_type":"single","seed":2442,"vertex":[235.5,261.5]}
-{"angle_degrees":341.532355,"arc_sweep_degrees":341.532355,"canvas_size":[477,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2443","image_path":"images/angle_estimation_2443.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2443_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_2443_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2443_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"162","question_id":"angle_estimation_2443_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2443_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[137.6771,180.4121],[102.2793,211.0344]],"scene_type":"single","seed":2443,"vertex":[238.5,262.0]}
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-{"angle_degrees":25.917343,"arc_sweep_degrees":25.917343,"canvas_size":[480,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2448","image_path":"images/angle_estimation_2448.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2448_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2448_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2448_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"154","question_id":"angle_estimation_2448_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2448_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[335.2453,333.0776],[283.7108,359.2758]],"scene_type":"single","seed":2448,"vertex":[240.0,242.5]}
-{"angle_1_degrees":124.718389,"angle_2_degrees":94.875084,"angles":[{"angle_degrees":124.718389,"arc_sweep_degrees":124.718389,"ray_endpoints":[[66.6943,330.4497],[90.328,128.7589]],"vertex":[122.85,268.47]},{"angle_degrees":94.875084,"arc_sweep_degrees":94.875084,"ray_endpoints":[[256.1919,226.4419],[395.7081,173.6395]],"vertex":[332.15,268.47]}],"canvas_size":[455,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2449","image_path":"images/angle_estimation_2449.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2449_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2449_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2449_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2449_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2449_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2449}
-{"angle_1_degrees":22.046028,"angle_2_degrees":58.253419,"angles":[{"angle_degrees":22.046028,"arc_sweep_degrees":22.046028,"ray_endpoints":[[190.019,351.2345],[170.9222,404.5258]],"vertex":[129.87,280.44]},{"angle_degrees":58.253419,"arc_sweep_degrees":58.253419,"ray_endpoints":[[266.7729,209.8966],[369.8975,149.5128]],"vertex":[351.13,280.44]}],"canvas_size":[481,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2450","image_path":"images/angle_estimation_2450.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2450_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2450_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2450_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2450_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2450_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2450}
-{"angle_1_degrees":13.662043,"angle_2_degrees":155.165584,"angles":[{"angle_degrees":13.662043,"arc_sweep_degrees":13.662043,"ray_endpoints":[[56.9198,219.1308],[42.9156,161.7074]],"vertex":[125.55,279.3]},{"angle_degrees":155.165584,"arc_sweep_degrees":155.165584,"ray_endpoints":[[254.8127,231.5313],[446.3996,287.9156]],"vertex":[339.45,279.3]}],"canvas_size":[465,490],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2451","image_path":"images/angle_estimation_2451.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2451_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2451_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_2451_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2451_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2451_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2451}
-{"angle_1_degrees":119.520175,"angle_2_degrees":16.293565,"angles":[{"angle_degrees":119.520175,"arc_sweep_degrees":119.520175,"ray_endpoints":[[67.5735,335.4978],[73.0882,142.6673]],"vertex":[124.74,257.64]},{"angle_degrees":16.293565,"arc_sweep_degrees":16.293565,"ray_endpoints":[[383.7435,185.3207],[424.2744,182.0651]],"vertex":[337.26,257.64]}],"canvas_size":[462,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2452","image_path":"images/angle_estimation_2452.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2452_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2452_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2452_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2452_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2452_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2452}
-{"angle_1_degrees":61.794834,"angle_2_degrees":21.354777,"angles":[{"angle_degrees":61.794834,"arc_sweep_degrees":61.794834,"ray_endpoints":[[79.6631,334.0607],[20.7662,251.8962]],"vertex":[129.6,276.45]},{"angle_degrees":21.354777,"arc_sweep_degrees":21.354777,"ray_endpoints":[[400.55,377.3486],[362.9977,418.3275]],"vertex":[350.4,276.45]}],"canvas_size":[480,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2453","image_path":"images/angle_estimation_2453.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2453_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2453_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2453_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2453_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2453_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2453}
-{"angle_1_degrees":142.682389,"angle_2_degrees":35.628089,"angles":[{"angle_degrees":142.682389,"arc_sweep_degrees":142.682389,"ray_endpoints":[[212.3107,237.0438],[49.6895,373.0352]],"vertex":[125.01,265.05]},{"angle_degrees":35.628089,"arc_sweep_degrees":35.628089,"ray_endpoints":[[286.8631,189.3337],[341.9871,121.8778]],"vertex":[337.99,265.05]}],"canvas_size":[463,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2454","image_path":"images/angle_estimation_2454.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2454_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2454_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_2454_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2454_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2454_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2454}
-{"angle_1_degrees":28.106163,"angle_2_degrees":125.249209,"angles":[{"angle_degrees":28.106163,"arc_sweep_degrees":28.106163,"ray_endpoints":[[141.9585,166.1385],[208.8885,150.3911]],"vertex":[129.6,261.63]},{"angle_degrees":125.249209,"arc_sweep_degrees":125.249209,"ray_endpoints":[[426.131,232.8558],[317.6086,388.9309]],"vertex":[350.4,261.63]}],"canvas_size":[480,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2455","image_path":"images/angle_estimation_2455.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2455_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2455_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2455_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2455_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2455_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2455}
-{"canvas_size":[486,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2456","image_path":"images/angle_estimation_2456.png","interior_angles_degrees":[128.291047,28.503231,23.205722],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2456_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2456_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2456_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2456_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2456_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2456,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[216.1989,343.5894],[431.0,343.5894],[55.0,139.4106]]}
-{"canvas_size":[452,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2457","image_path":"images/angle_estimation_2457.png","interior_angles_degrees":[123.30755,19.687328,37.005121],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2457_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2457_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2457_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2457_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2457_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2457,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[135.4041,302.6842],[397.0,302.6842],[55.0,180.3158]]}
-{"canvas_size":[490,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2458","image_path":"images/angle_estimation_2458.png","interior_angles_degrees":[136.364032,18.782655,24.853313],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2458_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2458_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2458_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2458_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2458_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2458,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[190.5388,310.1171],[435.0,310.1171],[55.0,180.8829]]}
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-{"angle_degrees":246.19092,"arc_sweep_degrees":246.19092,"canvas_size":[452,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2461","image_path":"images/angle_estimation_2461.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2461_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_2461_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2461_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"66","question_id":"angle_estimation_2461_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2461_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[273.7399,98.0869],[113.4899,258.8924]],"scene_type":"single","seed":2461,"vertex":[226.0,247.0]}
-{"angle_degrees":110.436715,"arc_sweep_degrees":110.436715,"canvas_size":[458,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2462","image_path":"images/angle_estimation_2462.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2462_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_2462_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2462_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"70","question_id":"angle_estimation_2462_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2462_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[372.8628,213.8425],[204.5023,368.0147]],"scene_type":"single","seed":2462,"vertex":[229.0,238.5]}
-{"angle_degrees":51.465825,"arc_sweep_degrees":51.465825,"canvas_size":[457,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2463","image_path":"images/angle_estimation_2463.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2463_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_2463_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2463_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"129","question_id":"angle_estimation_2463_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2463_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[368.6701,293.5166],[270.1403,360.3256]],"scene_type":"single","seed":2463,"vertex":[228.5,247.0]}
-{"angle_degrees":247.713196,"arc_sweep_degrees":247.713196,"canvas_size":[486,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2464","image_path":"images/angle_estimation_2464.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2464_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_2464_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2464_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"68","question_id":"angle_estimation_2464_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2464_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[289.0739,409.5975],[326.3283,185.903]],"scene_type":"single","seed":2464,"vertex":[243.0,252.5]}
-{"angle_degrees":30.000002,"arc_sweep_degrees":30.000002,"canvas_size":[483,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2465","image_path":"images/angle_estimation_2465.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2465_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2465_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2465_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_2465_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2465_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[91.9975,275.2795],[106.1293,199.638]],"scene_type":"single","seed":2465,"vertex":[241.5,251.5]}
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-{"angle_degrees":18.686493,"arc_sweep_degrees":18.686493,"canvas_size":[462,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2467","image_path":"images/angle_estimation_2467.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2467_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_2467_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2467_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"161","question_id":"angle_estimation_2467_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2467_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[74.4717,303.5914],[102.5076,247.54]],"scene_type":"single","seed":2467,"vertex":[231.0,239.5]}
-{"angle_degrees":171.679752,"arc_sweep_degrees":171.679752,"canvas_size":[467,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2468","image_path":"images/angle_estimation_2468.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2468_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_2468_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2468_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"8","question_id":"angle_estimation_2468_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2468_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[269.4479,396.9652],[188.4986,157.1792]],"scene_type":"single","seed":2468,"vertex":[233.5,262.0]}
-{"angle_1_degrees":29.784333,"angle_2_degrees":69.632375,"angles":[{"angle_degrees":29.784333,"arc_sweep_degrees":29.784333,"ray_endpoints":[[83.0934,351.7171],[18.2459,337.5346]],"vertex":[125.82,265.05]},{"angle_degrees":69.632375,"arc_sweep_degrees":69.632375,"ray_endpoints":[[417.8727,281.7564],[356.7547,379.6171]],"vertex":[340.18,265.05]}],"canvas_size":[466,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2469","image_path":"images/angle_estimation_2469.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2469_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2469_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2469_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2469_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2469_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2469}
-{"angle_1_degrees":108.14976,"angle_2_degrees":77.923176,"angles":[{"angle_degrees":108.14976,"arc_sweep_degrees":108.14976,"ray_endpoints":[[46.0735,299.5326],[109.3628,120.5264]],"vertex":[125.82,262.77]},{"angle_degrees":77.923176,"arc_sweep_degrees":77.923176,"ray_endpoints":[[272.4977,186.9983],[406.6631,171.7681]],"vertex":[340.18,262.77]}],"canvas_size":[466,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2470","image_path":"images/angle_estimation_2470.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2470_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2470_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2470_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2470_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2470_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2470}
-{"angle_1_degrees":169.880375,"angle_2_degrees":78.183006,"angles":[{"angle_degrees":169.880375,"arc_sweep_degrees":169.880375,"ray_endpoints":[[202.409,242.7252],[36.4817,354.5837]],"vertex":[128.52,282.15]},{"angle_degrees":78.183006,"arc_sweep_degrees":78.183006,"ray_endpoints":[[427.115,273.9789],[382.0211,390.542]],"vertex":[347.48,282.15]}],"canvas_size":[476,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2471","image_path":"images/angle_estimation_2471.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2471_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2471_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2471_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2471_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2471_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2471}
-{"angle_1_degrees":91.119127,"angle_2_degrees":11.406183,"angles":[{"angle_degrees":91.119127,"arc_sweep_degrees":91.119127,"ray_endpoints":[[168.7026,357.836],[25.7975,330.5127]],"vertex":[128.25,279.87]},{"angle_degrees":11.406183,"arc_sweep_degrees":11.406183,"ray_endpoints":[[421.7801,333.1491],[436.2957,375.176]],"vertex":[346.75,279.87]}],"canvas_size":[475,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2472","image_path":"images/angle_estimation_2472.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2472_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2472_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2472_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2472_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2472_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2472}
-{"angle_1_degrees":64.646692,"angle_2_degrees":111.531631,"angles":[{"angle_degrees":64.646692,"arc_sweep_degrees":64.646692,"ray_endpoints":[[110.6081,165.3411],[222.6635,197.6446]],"vertex":[127.71,264.48]},{"angle_degrees":111.531631,"arc_sweep_degrees":111.531631,"ray_endpoints":[[407.3069,169.4381],[423.139,374.2551]],"vertex":[345.29,264.48]}],"canvas_size":[473,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2473","image_path":"images/angle_estimation_2473.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2473_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2473_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2473_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2473_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2473_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2473}
-{"angle_1_degrees":145.503909,"angle_2_degrees":130.799792,"angles":[{"angle_degrees":145.503909,"arc_sweep_degrees":145.503909,"ray_endpoints":[[150.8577,194.4801],[174.5412,405.4035]],"vertex":[128.79,283.86]},{"angle_degrees":130.799792,"arc_sweep_degrees":130.799792,"ray_endpoints":[[428.7478,265.874],[284.0738,403.4191]],"vertex":[348.21,283.86]}],"canvas_size":[477,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2474","image_path":"images/angle_estimation_2474.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2474_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2474_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2474_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2474_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2474_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2474}
-{"angle_1_degrees":17.626693,"angle_2_degrees":79.264616,"angles":[{"angle_degrees":17.626693,"arc_sweep_degrees":17.626693,"ray_endpoints":[[117.2914,149.5508],[154.5272,144.7396]],"vertex":[122.04,263.91]},{"angle_degrees":79.264616,"arc_sweep_degrees":79.264616,"ray_endpoints":[[267.7826,171.3055],[418.6845,176.3731]],"vertex":[329.96,263.91]}],"canvas_size":[452,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2475","image_path":"images/angle_estimation_2475.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2475_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2475_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2475_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2475_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2475_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2475}
-{"canvas_size":[500,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2476","image_path":"images/angle_estimation_2476.png","interior_angles_degrees":[68.272963,50.531338,61.195699],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2476_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2476_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2476_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2476_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2476_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2476,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,405.5858],[445.0,405.5858],[182.1883,86.4142]]}
-{"canvas_size":[464,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2477","image_path":"images/angle_estimation_2477.png","interior_angles_degrees":[69.22493,59.699994,51.075075],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2477_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2477_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2477_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2477_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2477_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2477,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,437.1634],[409.0,437.1634],[194.3515,69.8366]]}
-{"canvas_size":[495,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2478","image_path":"images/angle_estimation_2478.png","interior_angles_degrees":[53.752773,62.94821,63.299017],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2478_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2478_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2478_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2478_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2478_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2478,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,400.7651],[440.0,400.7651],[281.9339,91.2349]]}
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-{"angle_degrees":297.970143,"arc_sweep_degrees":297.970143,"canvas_size":[490,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2484","image_path":"images/angle_estimation_2484.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2484_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_2484_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2484_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"118","question_id":"angle_estimation_2484_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2484_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[245.7976,379.8263],[342.3552,295.4663]],"scene_type":"single","seed":2484,"vertex":[245.0,244.5]}
-{"angle_degrees":179.999991,"arc_sweep_degrees":179.999991,"canvas_size":[450,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2485","image_path":"images/angle_estimation_2485.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2485_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_2485_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2485_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_2485_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2485_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[93.0741,252.7578],[353.1127,263.0907]],"scene_type":"single","seed":2485,"vertex":[225.0,258.0]}
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-{"angle_degrees":136.783477,"arc_sweep_degrees":136.783477,"canvas_size":[472,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2488","image_path":"images/angle_estimation_2488.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2488_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2488_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2488_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"43","question_id":"angle_estimation_2488_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2488_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[343.5219,154.261],[220.771,369.2095]],"scene_type":"single","seed":2488,"vertex":[236.0,244.0]}
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-{"angle_1_degrees":134.515881,"angle_2_degrees":18.851942,"angles":[{"angle_degrees":134.515881,"arc_sweep_degrees":134.515881,"ray_endpoints":[[177.0368,193.7005],[151.4296,379.4445]],"vertex":[126.36,274.74]},{"angle_degrees":18.851942,"arc_sweep_degrees":18.851942,"ray_endpoints":[[416.329,292.5802],[440.3352,337.0985]],"vertex":[341.64,274.74]}],"canvas_size":[468,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2490","image_path":"images/angle_estimation_2490.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2490_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2490_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_2490_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2490_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2490_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2490}
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-{"angle_1_degrees":23.882169,"angle_2_degrees":148.446916,"angles":[{"angle_degrees":23.882169,"arc_sweep_degrees":23.882169,"ray_endpoints":[[209.166,303.1077],[195.6973,345.4631]],"vertex":[129.06,260.49]},{"angle_degrees":148.446916,"arc_sweep_degrees":148.446916,"ray_endpoints":[[384.5611,346.5602],[263.8237,198.7307]],"vertex":[348.94,260.49]}],"canvas_size":[478,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2492","image_path":"images/angle_estimation_2492.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2492_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2492_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_2492_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2492_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2492_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2492}
-{"angle_1_degrees":20.210877,"angle_2_degrees":38.722764,"angles":[{"angle_degrees":20.210877,"arc_sweep_degrees":20.210877,"ray_endpoints":[[79.2882,185.6632],[110.8398,144.0239]],"vertex":[124.2,278.16]},{"angle_degrees":38.722764,"arc_sweep_degrees":38.722764,"ray_endpoints":[[328.4605,186.0269],[402.6734,179.6408]],"vertex":[335.8,278.16]}],"canvas_size":[460,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2493","image_path":"images/angle_estimation_2493.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2493_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2493_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2493_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2493_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2493_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2493}
-{"angle_1_degrees":69.292326,"angle_2_degrees":19.952402,"angles":[{"angle_degrees":69.292326,"arc_sweep_degrees":69.292326,"ray_endpoints":[[229.2119,315.2967],[116.8005,380.4406]],"vertex":[133.38,262.77]},{"angle_degrees":19.952402,"arc_sweep_degrees":19.952402,"ray_endpoints":[[331.8141,369.5899],[294.9019,356.4711]],"vertex":[360.62,262.77]}],"canvas_size":[494,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2494","image_path":"images/angle_estimation_2494.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2494_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2494_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2494_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2494_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2494_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2494}
-{"angle_1_degrees":105.377596,"angle_2_degrees":65.35971,"angles":[{"angle_degrees":105.377596,"arc_sweep_degrees":105.377596,"ray_endpoints":[[42.3164,234.0459],[211.0863,188.6302]],"vertex":[122.85,278.73]},{"angle_degrees":65.35971,"arc_sweep_degrees":65.35971,"ray_endpoints":[[282.5659,177.5206],[421.4924,169.4144]],"vertex":[332.15,278.73]}],"canvas_size":[455,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2495","image_path":"images/angle_estimation_2495.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2495_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2495_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2495_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2495_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2495_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2495}
-{"canvas_size":[456,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2496","image_path":"images/angle_estimation_2496.png","interior_angles_degrees":[89.577051,51.035176,39.387773],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2496_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2496_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2496_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2496_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2496_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2496,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[76.1961,437.0],[379.8039,437.0],[78.9422,65.0]]}
-{"canvas_size":[478,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2497","image_path":"images/angle_estimation_2497.png","interior_angles_degrees":[89.941564,43.141874,46.916562],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2497_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2497_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2497_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2497_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2497_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2497,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,416.2719],[423.0,416.2719],[55.3514,71.7281]]}
-{"canvas_size":[461,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2498","image_path":"images/angle_estimation_2498.png","interior_angles_degrees":[90.834006,53.942231,35.223763],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2498_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2498_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2498_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2498_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2498_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2498,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[91.7545,462.0],[375.0247,462.0],[85.9753,65.0]]}
-{"canvas_size":[498,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2499","image_path":"images/angle_estimation_2499.png","interior_angles_degrees":[90.953655,44.165575,44.88077],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2499_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2499_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2499_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2499_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2499_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2499,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[61.2732,448.9301],[443.0,448.9301],[55.0,72.0699]]}
-{"canvas_size":[450,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2500","image_path":"images/angle_estimation_2500.png","interior_angles_degrees":[90.098185,32.724323,57.177492],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2500_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2500_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2500_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2500_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2500_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2500,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.3744,356.74],[395.0,356.74],[55.0,138.26]]}
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-{"angle_degrees":120.000024,"arc_sweep_degrees":120.000024,"canvas_size":[469,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2505","image_path":"images/angle_estimation_2505.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2505_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_2505_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2505_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"60","question_id":"angle_estimation_2505_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2505_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[388.5794,214.1423],[193.0124,396.9889]],"scene_type":"single","seed":2505,"vertex":[234.5,252.5]}
-{"angle_degrees":128.992195,"arc_sweep_degrees":128.992195,"canvas_size":[498,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2506","image_path":"images/angle_estimation_2506.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2506_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2506_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2506_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"51","question_id":"angle_estimation_2506_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2506_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[218.4526,107.7353],[343.2917,298.9521]],"scene_type":"single","seed":2506,"vertex":[249.0,251.0]}
-{"angle_degrees":146.825798,"arc_sweep_degrees":146.825798,"canvas_size":[486,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2507","image_path":"images/angle_estimation_2507.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2507_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_2507_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2507_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"33","question_id":"angle_estimation_2507_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2507_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[101.0127,245.7507],[357.9105,159.1628]],"scene_type":"single","seed":2507,"vertex":[243.0,240.5]}
-{"angle_degrees":58.560838,"arc_sweep_degrees":58.560838,"canvas_size":[459,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2508","image_path":"images/angle_estimation_2508.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2508_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_2508_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2508_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"121","question_id":"angle_estimation_2508_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2508_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[364.4931,229.6528],[309.8518,353.6747]],"scene_type":"single","seed":2508,"vertex":[229.5,237.0]}
-{"angle_1_degrees":23.499216,"angle_2_degrees":130.106835,"angles":[{"angle_degrees":23.499216,"arc_sweep_degrees":23.499216,"ray_endpoints":[[182.4079,357.659],[137.1528,362.07]],"vertex":[129.87,256.5]},{"angle_degrees":130.106835,"arc_sweep_degrees":130.106835,"ray_endpoints":[[347.5612,151.368],[436.6669,323.7206]],"vertex":[351.13,256.5]}],"canvas_size":[481,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2509","image_path":"images/angle_estimation_2509.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2509_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2509_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_2509_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2509_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2509_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2509}
-{"angle_1_degrees":53.149388,"angle_2_degrees":35.984074,"angles":[{"angle_degrees":53.149388,"arc_sweep_degrees":53.149388,"ray_endpoints":[[227.6503,300.1334],[173.1916,397.8331]],"vertex":[130.14,267.33]},{"angle_degrees":35.984074,"arc_sweep_degrees":35.984074,"ray_endpoints":[[426.1639,308.2841],[396.6077,362.6236]],"vertex":[351.86,267.33]}],"canvas_size":[482,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2510","image_path":"images/angle_estimation_2510.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2510_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2510_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2510_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2510_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2510_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2510}
-{"angle_1_degrees":27.433718,"angle_2_degrees":142.572249,"angles":[{"angle_degrees":27.433718,"arc_sweep_degrees":27.433718,"ray_endpoints":[[97.2697,337.3823],[34.2422,337.6308]],"vertex":[133.65,270.75]},{"angle_degrees":142.572249,"arc_sweep_degrees":142.572249,"ray_endpoints":[[345.3167,371.0769],[296.8604,151.2201]],"vertex":[361.35,270.75]}],"canvas_size":[495,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2511","image_path":"images/angle_estimation_2511.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2511_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2511_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_2511_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2511_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2511_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2511}
-{"angle_1_degrees":28.98586,"angle_2_degrees":86.908896,"angles":[{"angle_degrees":28.98586,"arc_sweep_degrees":28.98586,"ray_endpoints":[[73.516,202.6003],[119.4268,177.9319]],"vertex":[133.92,283.29]},{"angle_degrees":86.908896,"arc_sweep_degrees":86.908896,"ray_endpoints":[[296.4389,217.9626],[447.4822,187.6777]],"vertex":[362.08,283.29]}],"canvas_size":[496,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2512","image_path":"images/angle_estimation_2512.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2512_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2512_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2512_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2512_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2512_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2512}
-{"angle_1_degrees":65.225713,"angle_2_degrees":20.56943,"angles":[{"angle_degrees":65.225713,"arc_sweep_degrees":65.225713,"ray_endpoints":[[224.0767,219.881],[221.1217,343.7442]],"vertex":[127.71,265.05]},{"angle_degrees":20.56943,"arc_sweep_degrees":20.56943,"ray_endpoints":[[252.04,227.5097],[267.7815,194.0315]],"vertex":[345.29,265.05]}],"canvas_size":[473,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2513","image_path":"images/angle_estimation_2513.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2513_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2513_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2513_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2513_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2513_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2513}
-{"angle_1_degrees":25.867222,"angle_2_degrees":141.872789,"angles":[{"angle_degrees":25.867222,"arc_sweep_degrees":25.867222,"ray_endpoints":[[128.6571,377.3944],[75.655,399.2551]],"vertex":[123.12,284.43]},{"angle_degrees":141.872789,"arc_sweep_degrees":141.872789,"ray_endpoints":[[373.1554,203.3587],[356.3385,397.6124]],"vertex":[332.88,284.43]}],"canvas_size":[456,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2514","image_path":"images/angle_estimation_2514.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2514_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2514_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_2514_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2514_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2514_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2514}
-{"angle_1_degrees":44.626328,"angle_2_degrees":112.413399,"angles":[{"angle_degrees":44.626328,"arc_sweep_degrees":44.626328,"ray_endpoints":[[32.1462,312.3702],[18.7234,224.2103]],"vertex":[131.49,277.59]},{"angle_degrees":112.413399,"arc_sweep_degrees":112.413399,"ray_endpoints":[[374.7296,178.5275],[448.9819,339.2075]],"vertex":[355.51,277.59]}],"canvas_size":[487,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2515","image_path":"images/angle_estimation_2515.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2515_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2515_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2515_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2515_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2515_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2515}
-{"canvas_size":[470,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2516","image_path":"images/angle_estimation_2516.png","interior_angles_degrees":[128.547202,17.937113,33.515685],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2516_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2516_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2516_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2516_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2516_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2516,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[147.8525,306.7672],[415.0,306.7672],[55.0,190.2328]]}
-{"canvas_size":[463,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2517","image_path":"images/angle_estimation_2517.png","interior_angles_degrees":[118.592344,26.139057,35.268598],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2517_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2517_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2517_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2517_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2517_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2517,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[149.4188,335.6157],[408.0,335.6157],[55.0,162.3843]]}
-{"canvas_size":[476,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2518","image_path":"images/angle_estimation_2518.png","interior_angles_degrees":[136.91509,20.909316,22.175594],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2518_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2518_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2518_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2518_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2518_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2518,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[204.5045,310.415],[421.0,310.415],[55.0,170.585]]}
-{"canvas_size":[451,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2519","image_path":"images/angle_estimation_2519.png","interior_angles_degrees":[137.56905,18.992502,23.438448],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2519_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2519_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2519_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2519_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2519_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2519,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[183.3926,312.1829],[396.0,312.1829],[55.0,194.8171]]}
-{"canvas_size":[484,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2520","image_path":"images/angle_estimation_2520.png","interior_angles_degrees":[129.364594,23.923175,26.712231],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2520_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2520_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2520_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2520_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2520_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2520,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[191.1125,345.9575],[429.0,345.9575],[55.0,180.0425]]}
-{"angle_degrees":245.409582,"arc_sweep_degrees":245.409582,"canvas_size":[466,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2521","image_path":"images/angle_estimation_2521.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2521_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_2521_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2521_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"65","question_id":"angle_estimation_2521_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2521_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[340.7527,144.2721],[129.3185,201.5926]],"scene_type":"single","seed":2521,"vertex":[233.0,244.5]}
-{"angle_degrees":149.345019,"arc_sweep_degrees":149.345019,"canvas_size":[471,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2522","image_path":"images/angle_estimation_2522.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2522_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_2522_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2522_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"31","question_id":"angle_estimation_2522_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2522_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[365.8764,324.4752],[92.869,229.8937]],"scene_type":"single","seed":2522,"vertex":[235.5,237.5]}
-{"angle_degrees":232.111436,"arc_sweep_degrees":232.111436,"canvas_size":[456,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2523","image_path":"images/angle_estimation_2523.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2523_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2523_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2523_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"52","question_id":"angle_estimation_2523_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2523_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[126.4406,144.8946],[208.6297,404.1444]],"scene_type":"single","seed":2523,"vertex":[228.0,246.0]}
-{"angle_degrees":34.327327,"arc_sweep_degrees":34.327327,"canvas_size":[490,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2524","image_path":"images/angle_estimation_2524.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2524_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2524_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2524_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"146","question_id":"angle_estimation_2524_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2524_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[112.3803,369.6489],[100.1534,273.3257]],"scene_type":"single","seed":2524,"vertex":[245.0,260.0]}
-{"angle_degrees":179.999994,"arc_sweep_degrees":179.999994,"canvas_size":[468,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2525","image_path":"images/angle_estimation_2525.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2525_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_2525_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2525_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_2525_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2525_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[249.1729,388.6422],[219.8196,104.9502]],"scene_type":"single","seed":2525,"vertex":[234.0,242.0]}
-{"angle_degrees":35.953118,"arc_sweep_degrees":35.953118,"canvas_size":[464,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2526","image_path":"images/angle_estimation_2526.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2526_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2526_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2526_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"144","question_id":"angle_estimation_2526_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2526_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[123.0988,321.6097],[120.3711,244.7388]],"scene_type":"single","seed":2526,"vertex":[232.0,249.5]}
-{"angle_degrees":55.765449,"arc_sweep_degrees":55.765449,"canvas_size":[490,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2527","image_path":"images/angle_estimation_2527.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2527_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_2527_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2527_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"124","question_id":"angle_estimation_2527_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2527_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[309.22,385.6013],[165.3797,400.3157]],"scene_type":"single","seed":2527,"vertex":[245.0,257.5]}
-{"angle_degrees":72.828868,"arc_sweep_degrees":72.828868,"canvas_size":[467,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2528","image_path":"images/angle_estimation_2528.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2528_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_2528_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2528_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"107","question_id":"angle_estimation_2528_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2528_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[380.5857,247.0693],[265.3745,350.3264]],"scene_type":"single","seed":2528,"vertex":[233.5,247.0]}
-{"angle_1_degrees":57.931823,"angle_2_degrees":45.041785,"angles":[{"angle_degrees":57.931823,"arc_sweep_degrees":57.931823,"ray_endpoints":[[31.0181,303.9703],[34.8826,200.0805]],"vertex":[126.09,262.77]},{"angle_degrees":45.041785,"arc_sweep_degrees":45.041785,"ray_endpoints":[[402.9473,209.3123],[448.9589,270.8757]],"vertex":[340.91,262.77]}],"canvas_size":[467,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2529","image_path":"images/angle_estimation_2529.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2529_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2529_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2529_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2529_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2529_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2529}
-{"angle_1_degrees":70.1528,"angle_2_degrees":107.558526,"angles":[{"angle_degrees":70.1528,"arc_sweep_degrees":70.1528,"ray_endpoints":[[188.3111,328.1974],[61.873,386.5861]],"vertex":[130.14,262.2]},{"angle_degrees":107.558526,"arc_sweep_degrees":107.558526,"ray_endpoints":[[461.282,281.502],[293.8713,373.2989]],"vertex":[351.86,262.2]}],"canvas_size":[482,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2530","image_path":"images/angle_estimation_2530.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2530_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2530_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2530_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2530_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2530_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2530}
-{"angle_1_degrees":12.229076,"angle_2_degrees":97.573139,"angles":[{"angle_degrees":12.229076,"arc_sweep_degrees":12.229076,"ray_endpoints":[[53.7907,222.0524],[36.2009,176.7591]],"vertex":[133.92,272.46]},{"angle_degrees":97.573139,"arc_sweep_degrees":97.573139,"ray_endpoints":[[456.4796,310.5933],[290.96,397.8082]],"vertex":[362.08,272.46]}],"canvas_size":[496,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2531","image_path":"images/angle_estimation_2531.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2531_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2531_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2531_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2531_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2531_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2531}
-{"angle_1_degrees":36.782963,"angle_2_degrees":56.525914,"angles":[{"angle_degrees":36.782963,"arc_sweep_degrees":36.782963,"ray_endpoints":[[212.2176,314.5128],[189.5281,396.2378]],"vertex":[125.55,272.46]},{"angle_degrees":56.525914,"arc_sweep_degrees":56.525914,"ray_endpoints":[[303.1432,195.3479],[399.5956,173.5899]],"vertex":[339.45,272.46]}],"canvas_size":[465,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2532","image_path":"images/angle_estimation_2532.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2532_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2532_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2532_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2532_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2532_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2532}
-{"angle_1_degrees":132.981226,"angle_2_degrees":46.658273,"angles":[{"angle_degrees":132.981226,"arc_sweep_degrees":132.981226,"ray_endpoints":[[56.7199,260.4438],[207.0341,174.0825]],"vertex":[133.11,258.21]},{"angle_degrees":46.658273,"arc_sweep_degrees":46.658273,"ray_endpoints":[[393.7485,336.233],[312.0255,369.8885]],"vertex":[359.89,258.21]}],"canvas_size":[493,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2533","image_path":"images/angle_estimation_2533.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2533_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2533_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2533_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2533_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2533_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2533}
-{"angle_1_degrees":60.663233,"angle_2_degrees":46.737069,"angles":[{"angle_degrees":60.663233,"arc_sweep_degrees":60.663233,"ray_endpoints":[[209.1674,265.9491],[184.6614,360.5278]],"vertex":[130.68,266.76]},{"angle_degrees":46.737069,"arc_sweep_degrees":46.737069,"ray_endpoints":[[272.809,288.6929],[259.6369,209.3548]],"vertex":[353.32,266.76]}],"canvas_size":[484,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2534","image_path":"images/angle_estimation_2534.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2534_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2534_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2534_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2534_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2534_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2534}
-{"angle_1_degrees":58.595396,"angle_2_degrees":43.055104,"angles":[{"angle_degrees":58.595396,"arc_sweep_degrees":58.595396,"ray_endpoints":[[143.7772,335.5939],[46.2869,328.4425]],"vertex":[133.11,257.64]},{"angle_degrees":43.055104,"arc_sweep_degrees":43.055104,"ray_endpoints":[[336.2216,167.2196],[422.9871,140.8786]],"vertex":[359.89,257.64]}],"canvas_size":[493,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2535","image_path":"images/angle_estimation_2535.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2535_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2535_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2535_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2535_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2535_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2535}
-{"canvas_size":[476,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2536","image_path":"images/angle_estimation_2536.png","interior_angles_degrees":[54.250971,70.877791,54.871238],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2536_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2536_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2536_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2536_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2536_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2536,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,426.0754],[421.0,426.0754],[302.0244,82.9246]]}
-{"canvas_size":[452,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2537","image_path":"images/angle_estimation_2537.png","interior_angles_degrees":[61.455698,66.137181,52.407121],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2537_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2537_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2537_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2537_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2537_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2537,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,431.8717],[397.0,431.8717],[243.6136,85.1283]]}
-{"canvas_size":[489,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2538","image_path":"images/angle_estimation_2538.png","interior_angles_degrees":[65.404585,53.107329,61.488086],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2538_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2538_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2538_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2538_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2538_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2538,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,411.8241],[434.0,411.8241],[198.569,98.1759]]}
-{"canvas_size":[500,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2539","image_path":"images/angle_estimation_2539.png","interior_angles_degrees":[49.599153,44.57523,85.825617],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2539_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2539_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2539_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2539_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2539_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2539,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,357.4999],[445.0,357.4999],[232.8781,148.5001]]}
-{"canvas_size":[452,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2540","image_path":"images/angle_estimation_2540.png","interior_angles_degrees":[74.081417,49.09782,56.820764],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2540_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2540_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2540_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2540_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2540_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2540,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,400.5017],[397.0,400.5017],[139.7078,103.4983]]}
-{"angle_degrees":186.769767,"arc_sweep_degrees":186.769767,"canvas_size":[484,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2541","image_path":"images/angle_estimation_2541.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2541_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_2541_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2541_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"7","question_id":"angle_estimation_2541_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2541_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[326.8521,378.3473],[186.8718,149.2582]],"scene_type":"single","seed":2541,"vertex":[242.0,254.5]}
-{"angle_degrees":224.895287,"arc_sweep_degrees":224.895287,"canvas_size":[454,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2542","image_path":"images/angle_estimation_2542.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2542_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2542_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2542_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"45","question_id":"angle_estimation_2542_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2542_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[288.2671,376.6695],[273.6865,116.7707]],"scene_type":"single","seed":2542,"vertex":[227.0,239.0]}
-{"angle_degrees":106.086023,"arc_sweep_degrees":106.086023,"canvas_size":[450,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2543","image_path":"images/angle_estimation_2543.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2543_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_2543_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2543_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"74","question_id":"angle_estimation_2543_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2543_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[379.4264,212.799],[207.9428,394.5898]],"scene_type":"single","seed":2543,"vertex":[225.0,239.5]}
-{"angle_degrees":148.014521,"arc_sweep_degrees":148.014521,"canvas_size":[485,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2544","image_path":"images/angle_estimation_2544.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2544_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_2544_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2544_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"32","question_id":"angle_estimation_2544_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2544_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[257.7602,117.2254],[305.1597,388.3758]],"scene_type":"single","seed":2544,"vertex":[242.5,259.0]}
-{"angle_degrees":120.0,"arc_sweep_degrees":120.0,"canvas_size":[479,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2545","image_path":"images/angle_estimation_2545.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2545_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_2545_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2545_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"60","question_id":"angle_estimation_2545_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2545_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[109.6673,368.8112],[214.2135,132.0456]],"scene_type":"single","seed":2545,"vertex":[239.5,252.5]}
-{"angle_degrees":142.613071,"arc_sweep_degrees":142.613071,"canvas_size":[471,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2546","image_path":"images/angle_estimation_2546.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2546_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_2546_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2546_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"37","question_id":"angle_estimation_2546_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2546_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[86.9247,279.6345],[313.9075,133.7942]],"scene_type":"single","seed":2546,"vertex":[235.5,238.0]}
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-{"angle_1_degrees":92.826382,"angle_2_degrees":155.998851,"angles":[{"angle_degrees":92.826382,"arc_sweep_degrees":92.826382,"ray_endpoints":[[47.6483,223.8295],[209.975,162.1881]],"vertex":[124.47,275.88]},{"angle_degrees":155.998851,"arc_sweep_degrees":155.998851,"ray_endpoints":[[355.4816,194.2418],[363.3906,414.9479]],"vertex":[336.53,275.88]}],"canvas_size":[461,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2550","image_path":"images/angle_estimation_2550.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2550_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2550_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2550_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2550_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2550_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2550}
-{"angle_1_degrees":63.272142,"angle_2_degrees":31.428432,"angles":[{"angle_degrees":63.272142,"arc_sweep_degrees":63.272142,"ray_endpoints":[[224.3958,252.7708],[221.2875,377.2814]],"vertex":[131.49,278.73]},{"angle_degrees":31.428432,"arc_sweep_degrees":31.428432,"ray_endpoints":[[398.7431,367.2117],[342.291,418.8908]],"vertex":[355.51,278.73]}],"canvas_size":[487,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2551","image_path":"images/angle_estimation_2551.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2551_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2551_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2551_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2551_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2551_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2551}
-{"angle_1_degrees":107.33703,"angle_2_degrees":63.025395,"angles":[{"angle_degrees":107.33703,"arc_sweep_degrees":107.33703,"ray_endpoints":[[45.5344,340.5565],[76.7336,173.6404]],"vertex":[122.31,269.61]},{"angle_degrees":63.025395,"arc_sweep_degrees":63.025395,"ray_endpoints":[[417.3929,209.5756],[427.6724,321.8866]],"vertex":[330.69,269.61]}],"canvas_size":[453,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2552","image_path":"images/angle_estimation_2552.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2552_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2552_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2552_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2552_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2552_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2552}
-{"angle_1_degrees":44.537203,"angle_2_degrees":27.296384,"angles":[{"angle_degrees":44.537203,"arc_sweep_degrees":44.537203,"ray_endpoints":[[155.3756,174.042],[230.82,201.4189]],"vertex":[133.92,261.06]},{"angle_degrees":27.296384,"arc_sweep_degrees":27.296384,"ray_endpoints":[[278.4229,211.5048],[286.9291,141.0861]],"vertex":[362.08,261.06]}],"canvas_size":[496,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2553","image_path":"images/angle_estimation_2553.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2553_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2553_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2553_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2553_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2553_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2553}
-{"angle_1_degrees":31.949211,"angle_2_degrees":69.691807,"angles":[{"angle_degrees":31.949211,"arc_sweep_degrees":31.949211,"ray_endpoints":[[110.6016,362.5207],[36.1359,365.9629]],"vertex":[126.9,262.2]},{"angle_degrees":69.691807,"arc_sweep_degrees":69.691807,"ray_endpoints":[[297.576,167.9798],[436.3278,165.334]],"vertex":[343.1,262.2]}],"canvas_size":[470,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2554","image_path":"images/angle_estimation_2554.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2554_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2554_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2554_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2554_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2554_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2554}
-{"angle_1_degrees":133.587583,"angle_2_degrees":43.670728,"angles":[{"angle_degrees":133.587583,"arc_sweep_degrees":133.587583,"ray_endpoints":[[39.9378,295.2485],[169.5997,140.4454]],"vertex":[126.63,257.64]},{"angle_degrees":43.670728,"arc_sweep_degrees":43.670728,"ray_endpoints":[[409.228,341.2372],[332.2295,373.1013]],"vertex":[342.37,257.64]}],"canvas_size":[469,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2555","image_path":"images/angle_estimation_2555.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2555_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2555_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2555_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2555_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2555_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2555}
-{"canvas_size":[456,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2556","image_path":"images/angle_estimation_2556.png","interior_angles_degrees":[90.288158,50.184531,39.527311],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2556_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2556_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2556_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2556_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2556_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2556,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[76.4636,433.0],[381.3872,433.0],[74.6128,65.0]]}
-{"canvas_size":[450,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2557","image_path":"images/angle_estimation_2557.png","interior_angles_degrees":[90.910656,41.699159,47.390185],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2557_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2557_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2557_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2557_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2557_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2557,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[59.815,400.46],[395.0,400.46],[55.0,97.54]]}
-{"canvas_size":[482,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2558","image_path":"images/angle_estimation_2558.png","interior_angles_degrees":[90.34062,52.717268,36.942112],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2558_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2558_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2558_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2558_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2558_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2558,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[101.9808,436.0],[382.2248,436.0],[99.7752,65.0]]}
-{"canvas_size":[497,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2559","image_path":"images/angle_estimation_2559.png","interior_angles_degrees":[90.492263,40.359723,49.148014],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2559_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2559_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2559_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2559_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2559_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2559,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[57.8258,413.947],[442.0,413.947],[55.0,85.053]]}
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-{"angle_degrees":89.999978,"arc_sweep_degrees":89.999978,"canvas_size":[456,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2565","image_path":"images/angle_estimation_2565.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"right","question_id":"angle_estimation_2565_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_2565_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"approximately equal to","question_id":"angle_estimation_2565_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"90","question_id":"angle_estimation_2565_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2565_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[368.9606,200.937],[266.8909,366.0126]],"scene_type":"single","seed":2565,"vertex":[228.0,247.0]}
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-{"angle_degrees":212.839307,"arc_sweep_degrees":212.839307,"canvas_size":[486,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2568","image_path":"images/angle_estimation_2568.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2568_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_2568_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2568_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"33","question_id":"angle_estimation_2568_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2568_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[158.2317,123.8957],[244.155,372.5583]],"scene_type":"single","seed":2568,"vertex":[243.0,252.5]}
-{"angle_1_degrees":149.587645,"angle_2_degrees":121.514563,"angles":[{"angle_degrees":149.587645,"arc_sweep_degrees":149.587645,"ray_endpoints":[[226.4927,267.7812],[38.151,325.9803]],"vertex":[130.14,269.61]},{"angle_degrees":121.514563,"arc_sweep_degrees":121.514563,"ray_endpoints":[[344.4213,194.6712],[457.8182,320.9366]],"vertex":[351.86,269.61]}],"canvas_size":[482,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2569","image_path":"images/angle_estimation_2569.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2569_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2569_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2569_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2569_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2569_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2569}
-{"angle_1_degrees":49.495325,"angle_2_degrees":36.91081,"angles":[{"angle_degrees":49.495325,"arc_sweep_degrees":49.495325,"ray_endpoints":[[131.9786,181.6358],[223.6845,177.9941]],"vertex":[132.57,257.07]},{"angle_degrees":36.91081,"arc_sweep_degrees":36.91081,"ray_endpoints":[[436.9913,325.6366],[380.9393,363.1916]],"vertex":[358.43,257.07]}],"canvas_size":[491,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2570","image_path":"images/angle_estimation_2570.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2570_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2570_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2570_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2570_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2570_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2570}
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-{"angle_1_degrees":146.423667,"angle_2_degrees":55.782333,"angles":[{"angle_degrees":146.423667,"arc_sweep_degrees":146.423667,"ray_endpoints":[[135.6131,193.3587],[170.725,380.6117]],"vertex":[122.31,271.32]},{"angle_degrees":55.782333,"arc_sweep_degrees":55.782333,"ray_endpoints":[[351.5805,348.4328],[239.8516,377.2122]],"vertex":[330.69,271.32]}],"canvas_size":[453,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2572","image_path":"images/angle_estimation_2572.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2572_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2572_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2572_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2572_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2572_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2572}
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-{"angle_1_degrees":36.590723,"angle_2_degrees":165.210192,"angles":[{"angle_degrees":36.590723,"arc_sweep_degrees":36.590723,"ray_endpoints":[[159.6991,331.268],[98.7639,391.6189]],"vertex":[126.63,259.35]},{"angle_degrees":165.210192,"arc_sweep_degrees":165.210192,"ray_endpoints":[[310.3874,182.6931],[423.1002,364.8012]],"vertex":[342.37,259.35]}],"canvas_size":[469,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2575","image_path":"images/angle_estimation_2575.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2575_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2575_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_2575_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2575_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2575_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2575}
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-{"canvas_size":[494,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2579","image_path":"images/angle_estimation_2579.png","interior_angles_degrees":[109.656028,33.64482,36.699152],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2579_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2579_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2579_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2579_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2579_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2579,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[146.2833,388.7811],[439.0,388.7811],[55.0,133.2189]]}
-{"canvas_size":[456,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2580","image_path":"images/angle_estimation_2580.png","interior_angles_degrees":[98.008118,43.550951,38.440931],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2580_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2580_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2580_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2580_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2580_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2580,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[101.2752,410.4635],[401.0,410.4635],[55.0,81.5365]]}
-{"angle_degrees":331.015853,"arc_sweep_degrees":331.015853,"canvas_size":[458,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2581","image_path":"images/angle_estimation_2581.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2581_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_2581_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2581_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"151","question_id":"angle_estimation_2581_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2581_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[129.772,135.1342],[88.3207,197.6435]],"scene_type":"single","seed":2581,"vertex":[229.0,248.0]}
-{"angle_degrees":149.207577,"arc_sweep_degrees":149.207577,"canvas_size":[496,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2582","image_path":"images/angle_estimation_2582.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2582_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_2582_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2582_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"31","question_id":"angle_estimation_2582_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2582_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[363.8676,190.2911],[159.3925,364.8971]],"scene_type":"single","seed":2582,"vertex":[248.0,241.0]}
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-{"angle_degrees":59.585387,"arc_sweep_degrees":59.585387,"canvas_size":[486,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2588","image_path":"images/angle_estimation_2588.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2588_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_2588_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2588_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_2588_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2588_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[261.5818,91.1791],[367.0017,187.4822]],"scene_type":"single","seed":2588,"vertex":[243.0,241.0]}
-{"angle_1_degrees":58.102428,"angle_2_degrees":34.083221,"angles":[{"angle_degrees":58.102428,"arc_sweep_degrees":58.102428,"ray_endpoints":[[52.2213,244.1418],[106.5848,135.5669]],"vertex":[123.12,277.59]},{"angle_degrees":34.083221,"arc_sweep_degrees":34.083221,"ray_endpoints":[[420.4618,259.1693],[431.3264,317.7764]],"vertex":[332.88,277.59]}],"canvas_size":[456,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2589","image_path":"images/angle_estimation_2589.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2589_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2589_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2589_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2589_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2589_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2589}
-{"angle_1_degrees":27.211407,"angle_2_degrees":161.734628,"angles":[{"angle_degrees":27.211407,"arc_sweep_degrees":27.211407,"ray_endpoints":[[115.6961,346.3294],[46.3185,368.2396]],"vertex":[133.65,260.49]},{"angle_degrees":161.734628,"arc_sweep_degrees":161.734628,"ray_endpoints":[[287.4135,345.8325],[403.959,158.3228]],"vertex":[361.35,260.49]}],"canvas_size":[495,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2590","image_path":"images/angle_estimation_2590.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2590_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2590_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_2590_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2590_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2590_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2590}
-{"angle_1_degrees":86.153052,"angle_2_degrees":161.970499,"angles":[{"angle_degrees":86.153052,"arc_sweep_degrees":86.153052,"ray_endpoints":[[77.4052,349.315],[14.905,209.0881]],"vertex":[127.44,269.61]},{"angle_degrees":161.970499,"arc_sweep_degrees":161.970499,"ray_endpoints":[[390.2529,363.0234],[269.4752,192.1148]],"vertex":[344.56,269.61]}],"canvas_size":[472,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2591","image_path":"images/angle_estimation_2591.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2591_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2591_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2591_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2591_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2591_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2591}
-{"angle_1_degrees":46.69543,"angle_2_degrees":32.408939,"angles":[{"angle_degrees":46.69543,"arc_sweep_degrees":46.69543,"ray_endpoints":[[53.7766,190.9336],[135.5744,123.7224]],"vertex":[130.95,268.47]},{"angle_degrees":32.408939,"arc_sweep_degrees":32.408939,"ray_endpoints":[[425.8642,207.2294],[459.1969,253.6038]],"vertex":[354.05,268.47]}],"canvas_size":[485,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2592","image_path":"images/angle_estimation_2592.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2592_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2592_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2592_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2592_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2592_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2592}
-{"angle_1_degrees":65.288111,"angle_2_degrees":126.907338,"angles":[{"angle_degrees":65.288111,"arc_sweep_degrees":65.288111,"ray_endpoints":[[76.2503,161.2375],[193.4821,171.8077]],"vertex":[129.33,258.21]},{"angle_degrees":126.907338,"arc_sweep_degrees":126.907338,"ray_endpoints":[[451.651,230.1179],[310.8126,356.8231]],"vertex":[349.67,258.21]}],"canvas_size":[479,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2593","image_path":"images/angle_estimation_2593.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2593_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2593_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2593_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2593_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2593_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2593}
-{"angle_1_degrees":81.579782,"angle_2_degrees":144.785217,"angles":[{"angle_degrees":81.579782,"arc_sweep_degrees":81.579782,"ray_endpoints":[[214.0236,309.8301],[95.8256,416.1172]],"vertex":[126.9,276.45]},{"angle_degrees":144.785217,"arc_sweep_degrees":144.785217,"ray_endpoints":[[398.2577,203.4162],[339.5927,385.2355]],"vertex":[343.1,276.45]}],"canvas_size":[470,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2594","image_path":"images/angle_estimation_2594.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2594_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2594_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2594_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2594_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2594_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2594}
-{"angle_1_degrees":27.36921,"angle_2_degrees":69.598959,"angles":[{"angle_degrees":27.36921,"arc_sweep_degrees":27.36921,"ray_endpoints":[[103.5345,373.4959],[60.4099,343.9701]],"vertex":[133.38,265.05]},{"angle_degrees":69.598959,"arc_sweep_degrees":69.598959,"ray_endpoints":[[456.8951,266.1064],[396.4748,364.7914]],"vertex":[360.62,265.05]}],"canvas_size":[494,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2595","image_path":"images/angle_estimation_2595.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2595_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2595_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2595_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2595_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2595_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2595}
-{"canvas_size":[459,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2596","image_path":"images/angle_estimation_2596.png","interior_angles_degrees":[60.633812,56.87943,62.486757],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2596_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2596_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2596_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2596_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2596_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2596,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,395.1099],[404.0,395.1099],[216.6168,107.8901]]}
-{"canvas_size":[484,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2597","image_path":"images/angle_estimation_2597.png","interior_angles_degrees":[46.671365,47.266395,86.06224],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2597_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2597_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2597_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2597_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2597_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2597,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,341.6523],[429.0,341.6523],[243.9466,141.3477]]}
-{"canvas_size":[496,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2598","image_path":"images/angle_estimation_2598.png","interior_angles_degrees":[50.360407,49.337534,80.30206],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2598_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2598_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2598_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2598_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2598_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2598,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,376.3749],[441.0,376.3749],[244.5047,147.6251]]}
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-{"canvas_size":[482,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2600","image_path":"images/angle_estimation_2600.png","interior_angles_degrees":[72.689354,44.395499,62.915147],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2600_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2600_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2600_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2600_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2600_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2600,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,395.0353],[427.0,395.0353],[141.9777,115.9647]]}
-{"angle_degrees":311.298435,"arc_sweep_degrees":311.298435,"canvas_size":[494,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2601","image_path":"images/angle_estimation_2601.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2601_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_2601_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2601_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"131","question_id":"angle_estimation_2601_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2601_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[383.5026,192.534],[311.5365,86.8256]],"scene_type":"single","seed":2601,"vertex":[247.0,237.0]}
-{"angle_degrees":318.615827,"arc_sweep_degrees":318.615827,"canvas_size":[455,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2602","image_path":"images/angle_estimation_2602.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2602_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_2602_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2602_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"139","question_id":"angle_estimation_2602_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2602_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[304.0086,135.1965],[199.0841,98.9581]],"scene_type":"single","seed":2602,"vertex":[227.5,260.5]}
-{"angle_degrees":103.307444,"arc_sweep_degrees":103.307444,"canvas_size":[469,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2603","image_path":"images/angle_estimation_2603.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2603_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_2603_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2603_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"77","question_id":"angle_estimation_2603_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2603_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[89.0206,317.1216],[212.6818,98.3293]],"scene_type":"single","seed":2603,"vertex":[234.5,261.5]}
-{"angle_degrees":338.436721,"arc_sweep_degrees":338.436721,"canvas_size":[450,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2604","image_path":"images/angle_estimation_2604.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2604_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_2604_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2604_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"158","question_id":"angle_estimation_2604_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2604_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[363.0631,275.477],[336.2367,227.1528]],"scene_type":"single","seed":2604,"vertex":[225.0,245.0]}
-{"angle_degrees":59.999989,"arc_sweep_degrees":59.999989,"canvas_size":[483,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2605","image_path":"images/angle_estimation_2605.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2605_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_2605_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2605_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_2605_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2605_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[188.5137,99.8394],[343.8044,110.1132]],"scene_type":"single","seed":2605,"vertex":[241.5,237.0]}
-{"angle_degrees":20.480057,"arc_sweep_degrees":20.480057,"canvas_size":[476,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2606","image_path":"images/angle_estimation_2606.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2606_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_2606_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2606_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"160","question_id":"angle_estimation_2606_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2606_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[255.6482,400.0101],[201.3575,411.0643]],"scene_type":"single","seed":2606,"vertex":[238.0,257.5]}
-{"angle_degrees":219.245437,"arc_sweep_degrees":219.245437,"canvas_size":[462,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2607","image_path":"images/angle_estimation_2607.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2607_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2607_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2607_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"39","question_id":"angle_estimation_2607_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2607_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[104.2192,303.3032],[358.1449,303.2289]],"scene_type":"single","seed":2607,"vertex":[231.0,258.0]}
-{"angle_degrees":73.835917,"arc_sweep_degrees":73.835917,"canvas_size":[496,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2608","image_path":"images/angle_estimation_2608.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2608_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_2608_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2608_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"106","question_id":"angle_estimation_2608_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2608_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[300.12,108.2085],[404.6659,257.8628]],"scene_type":"single","seed":2608,"vertex":[248.0,245.0]}
-{"angle_1_degrees":96.13602,"angle_2_degrees":81.520432,"angles":[{"angle_degrees":96.13602,"arc_sweep_degrees":96.13602,"ray_endpoints":[[19.7158,272.1633],[137.6222,145.5932]],"vertex":[122.04,273.6]},{"angle_degrees":81.520432,"arc_sweep_degrees":81.520432,"ray_endpoints":[[413.0426,277.5193],[342.6172,398.6697]],"vertex":[329.96,273.6]}],"canvas_size":[452,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2609","image_path":"images/angle_estimation_2609.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2609_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2609_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2609_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2609_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2609_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2609}
-{"angle_1_degrees":28.627142,"angle_2_degrees":113.944416,"angles":[{"angle_degrees":28.627142,"arc_sweep_degrees":28.627142,"ray_endpoints":[[155.709,167.8595],[228.1147,164.0844]],"vertex":[129.87,270.18]},{"angle_degrees":113.944416,"arc_sweep_degrees":113.944416,"ray_endpoints":[[428.6079,273.7546],[287.5212,397.2814]],"vertex":[351.13,270.18]}],"canvas_size":[481,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2610","image_path":"images/angle_estimation_2610.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2610_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2610_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2610_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2610_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2610_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2610}
-{"angle_1_degrees":12.42511,"angle_2_degrees":68.011084,"angles":[{"angle_degrees":12.42511,"arc_sweep_degrees":12.42511,"ray_endpoints":[[188.3785,312.2886],[209.6357,362.347]],"vertex":[128.52,266.76]},{"angle_degrees":68.011084,"arc_sweep_degrees":68.011084,"ray_endpoints":[[459.7055,260.7025],[406.2468,392.3362]],"vertex":[347.48,266.76]}],"canvas_size":[476,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2611","image_path":"images/angle_estimation_2611.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2611_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2611_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2611_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2611_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2611_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2611}
-{"angle_1_degrees":64.365065,"angle_2_degrees":109.64514,"angles":[{"angle_degrees":64.365065,"arc_sweep_degrees":64.365065,"ray_endpoints":[[147.632,390.6063],[30.17,353.5474]],"vertex":[124.47,281.01]},{"angle_degrees":109.64514,"arc_sweep_degrees":109.64514,"ray_endpoints":[[246.2009,242.6976],[418.3055,192.1701]],"vertex":[336.53,281.01]}],"canvas_size":[461,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2612","image_path":"images/angle_estimation_2612.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2612_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2612_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2612_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2612_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2612_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2612}
-{"angle_1_degrees":47.897553,"angle_2_degrees":12.380549,"angles":[{"angle_degrees":47.897553,"arc_sweep_degrees":47.897553,"ray_endpoints":[[204.7476,309.3808],[157.1338,381.2763]],"vertex":[126.09,270.18]},{"angle_degrees":12.380549,"arc_sweep_degrees":12.380549,"ray_endpoints":[[323.9678,356.5383],[289.1706,389.2853]],"vertex":[340.91,270.18]}],"canvas_size":[467,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2613","image_path":"images/angle_estimation_2613.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2613_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2613_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2613_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2613_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2613_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2613}
-{"angle_1_degrees":61.502294,"angle_2_degrees":34.497434,"angles":[{"angle_degrees":61.502294,"arc_sweep_degrees":61.502294,"ray_endpoints":[[168.0115,354.9751],[49.9046,384.9794]],"vertex":[123.66,272.46]},{"angle_degrees":34.497434,"arc_sweep_degrees":34.497434,"ray_endpoints":[[290.1579,171.957],[360.2272,136.3244]],"vertex":[334.34,272.46]}],"canvas_size":[458,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2614","image_path":"images/angle_estimation_2614.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2614_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2614_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2614_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2614_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2614_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2614}
-{"angle_1_degrees":98.439958,"angle_2_degrees":86.989937,"angles":[{"angle_degrees":98.439958,"arc_sweep_degrees":98.439958,"ray_endpoints":[[204.2449,215.3911],[194.2214,392.139]],"vertex":[130.95,267.33]},{"angle_degrees":86.989937,"arc_sweep_degrees":86.989937,"ray_endpoints":[[433.9189,262.3051],[369.9033,404.136]],"vertex":[354.05,267.33]}],"canvas_size":[485,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2615","image_path":"images/angle_estimation_2615.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2615_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2615_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2615_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2615_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2615_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2615}
-{"canvas_size":[479,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2616","image_path":"images/angle_estimation_2616.png","interior_angles_degrees":[91.002591,40.349227,48.648182],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2616_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2616_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2616_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2616_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2616_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2616,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[60.486,417.2401],[424.0,417.2401],[55.0,103.7599]]}
-{"canvas_size":[454,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2617","image_path":"images/angle_estimation_2617.png","interior_angles_degrees":[90.364757,44.933133,44.702111],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2617_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2617_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2617_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2617_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2617_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2617,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[57.1849,417.599],[399.0,417.599],[55.0,74.401]]}
-{"canvas_size":[497,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2618","image_path":"images/angle_estimation_2618.png","interior_angles_degrees":[90.725011,34.043672,55.231317],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2618_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2618_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2618_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2618_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2618_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2618,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[58.3087,385.7321],[442.0,385.7321],[55.0,124.2679]]}
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-{"angle_degrees":48.370782,"arc_sweep_degrees":48.370782,"canvas_size":[466,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2622","image_path":"images/angle_estimation_2622.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2622_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_2622_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2622_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"132","question_id":"angle_estimation_2622_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2622_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[222.8197,74.3633],[335.1838,146.4053]],"scene_type":"single","seed":2622,"vertex":[233.0,248.5]}
-{"angle_degrees":169.306136,"arc_sweep_degrees":169.306136,"canvas_size":[451,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2623","image_path":"images/angle_estimation_2623.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2623_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_2623_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2623_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"11","question_id":"angle_estimation_2623_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2623_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[94.2773,198.0621],[344.7976,262.9561]],"scene_type":"single","seed":2623,"vertex":[225.5,244.5]}
-{"angle_degrees":35.955587,"arc_sweep_degrees":35.955587,"canvas_size":[498,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2624","image_path":"images/angle_estimation_2624.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2624_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2624_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2624_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"144","question_id":"angle_estimation_2624_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2624_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[367.8583,321.3657],[286.8722,345.6086]],"scene_type":"single","seed":2624,"vertex":[249.0,240.5]}
-{"angle_degrees":30.000002,"arc_sweep_degrees":30.000002,"canvas_size":[455,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2625","image_path":"images/angle_estimation_2625.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2625_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2625_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2625_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_2625_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2625_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[94.4008,136.4176],[175.3414,108.0665]],"scene_type":"single","seed":2625,"vertex":[227.5,244.5]}
-{"angle_degrees":121.881823,"arc_sweep_degrees":121.881823,"canvas_size":[490,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2626","image_path":"images/angle_estimation_2626.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2626_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_2626_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2626_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"58","question_id":"angle_estimation_2626_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2626_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[322.4078,125.2155],[299.1003,359.6105]],"scene_type":"single","seed":2626,"vertex":[245.0,246.0]}
-{"angle_degrees":242.695285,"arc_sweep_degrees":242.695285,"canvas_size":[491,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2627","image_path":"images/angle_estimation_2627.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2627_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_2627_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2627_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"63","question_id":"angle_estimation_2627_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2627_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[163.046,386.6547],[396.4568,262.2716]],"scene_type":"single","seed":2627,"vertex":[245.5,251.5]}
-{"angle_degrees":347.495811,"arc_sweep_degrees":347.495811,"canvas_size":[468,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2628","image_path":"images/angle_estimation_2628.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2628_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_2628_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2628_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"167","question_id":"angle_estimation_2628_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2628_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[318.1109,392.8916],[346.5716,372.7556]],"scene_type":"single","seed":2628,"vertex":[234.0,258.0]}
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-{"angle_1_degrees":79.551192,"angle_2_degrees":11.407988,"angles":[{"angle_degrees":79.551192,"arc_sweep_degrees":79.551192,"ray_endpoints":[[219.6901,330.7345],[85.9941,357.9352]],"vertex":[134.46,264.48]},{"angle_degrees":11.407988,"arc_sweep_degrees":11.407988,"ray_endpoints":[[339.4378,192.004],[347.2577,131.6178]],"vertex":[363.54,264.48]}],"canvas_size":[498,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2630","image_path":"images/angle_estimation_2630.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2630_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2630_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2630_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2630_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2630_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2630}
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-{"angle_1_degrees":111.269806,"angle_2_degrees":12.79274,"angles":[{"angle_degrees":111.269806,"arc_sweep_degrees":111.269806,"ray_endpoints":[[173.6498,360.569],[13.4973,306.2358]],"vertex":[125.55,284.43]},{"angle_degrees":12.79274,"arc_sweep_degrees":12.79274,"ray_endpoints":[[415.4709,355.8426],[411.2909,390.9483]],"vertex":[339.45,284.43]}],"canvas_size":[465,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2632","image_path":"images/angle_estimation_2632.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2632_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2632_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2632_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2632_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2632_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2632}
-{"angle_1_degrees":54.645526,"angle_2_degrees":24.390839,"angles":[{"angle_degrees":54.645526,"arc_sweep_degrees":54.645526,"ray_endpoints":[[63.7652,335.3635],[17.8464,249.668]],"vertex":[130.14,267.33]},{"angle_degrees":24.390839,"arc_sweep_degrees":24.390839,"ray_endpoints":[[424.6186,221.3202],[456.5063,252.7777]],"vertex":[351.86,267.33]}],"canvas_size":[482,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2633","image_path":"images/angle_estimation_2633.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2633_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2633_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2633_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2633_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2633_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2633}
-{"angle_1_degrees":154.055867,"angle_2_degrees":19.425309,"angles":[{"angle_degrees":154.055867,"arc_sweep_degrees":154.055867,"ray_endpoints":[[214.676,192.5473],[85.5361,394.195]],"vertex":[132.03,270.75]},{"angle_degrees":19.425309,"arc_sweep_degrees":19.425309,"ray_endpoints":[[378.8077,359.033],[346.3123,380.8001]],"vertex":[356.97,270.75]}],"canvas_size":[489,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2634","image_path":"images/angle_estimation_2634.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2634_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2634_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_2634_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2634_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2634_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2634}
-{"angle_1_degrees":29.235475,"angle_2_degrees":118.683243,"angles":[{"angle_degrees":29.235475,"arc_sweep_degrees":29.235475,"ray_endpoints":[[85.5246,330.5805],[14.1714,319.4748]],"vertex":[133.65,263.91]},{"angle_degrees":118.683243,"arc_sweep_degrees":118.683243,"ray_endpoints":[[397.9906,168.0728],[449.5675,367.5878]],"vertex":[361.35,263.91]}],"canvas_size":[495,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2635","image_path":"images/angle_estimation_2635.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2635_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2635_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2635_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2635_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2635_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2635}
-{"canvas_size":[488,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2636","image_path":"images/angle_estimation_2636.png","interior_angles_degrees":[116.175958,24.023848,39.800194],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2636_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2636_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2636_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2636_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2636_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2636,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[137.8171,337.7425],[433.0,337.7425],[55.0,169.2575]]}
-{"canvas_size":[466,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2637","image_path":"images/angle_estimation_2637.png","interior_angles_degrees":[106.370467,38.874902,34.754631],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2637_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2637_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2637_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2637_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2637_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2637,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[139.3075,402.4992],[411.0,402.4992],[55.0,115.5008]]}
-{"canvas_size":[482,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2638","image_path":"images/angle_estimation_2638.png","interior_angles_degrees":[117.258802,22.686396,40.054802],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2638_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2638_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2638_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2638_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2638_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2638,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[135.1217,339.2536],[427.0,339.2536],[55.0,183.7464]]}
-{"canvas_size":[485,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2639","image_path":"images/angle_estimation_2639.png","interior_angles_degrees":[135.069119,20.42313,24.507751],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2639_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2639_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2639_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2639_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2639_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2639,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[194.9709,318.3168],[430.0,318.3168],[55.0,178.6832]]}
-{"canvas_size":[478,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2640","image_path":"images/angle_estimation_2640.png","interior_angles_degrees":[101.217,42.886905,35.896095],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2640_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2640_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2640_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2640_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2640_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2640,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[122.7856,411.405],[423.0,411.405],[55.0,69.595]]}
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-{"angle_degrees":135.99558,"arc_sweep_degrees":135.99558,"canvas_size":[462,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2643","image_path":"images/angle_estimation_2643.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2643_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2643_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2643_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"44","question_id":"angle_estimation_2643_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2643_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[296.1106,354.1289],[113.9952,205.8058]],"scene_type":"single","seed":2643,"vertex":[231.0,240.0]}
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-{"angle_degrees":59.999985,"arc_sweep_degrees":59.999985,"canvas_size":[485,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2645","image_path":"images/angle_estimation_2645.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2645_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_2645_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2645_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_2645_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2645_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[219.4723,386.0666],[125.9598,287.4004]],"scene_type":"single","seed":2645,"vertex":[242.5,243.0]}
-{"angle_degrees":48.991145,"arc_sweep_degrees":48.991145,"canvas_size":[451,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2646","image_path":"images/angle_estimation_2646.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2646_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_2646_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2646_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"131","question_id":"angle_estimation_2646_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2646_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[64.4961,218.7739],[171.4661,155.3648]],"scene_type":"single","seed":2646,"vertex":[225.5,253.5]}
-{"angle_degrees":79.529382,"arc_sweep_degrees":79.529382,"canvas_size":[472,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2647","image_path":"images/angle_estimation_2647.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2647_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_2647_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2647_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"100","question_id":"angle_estimation_2647_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2647_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[304.3783,369.0194],[129.7858,355.7561]],"scene_type":"single","seed":2647,"vertex":[236.0,259.0]}
-{"angle_degrees":263.485091,"arc_sweep_degrees":263.485091,"canvas_size":[473,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2648","image_path":"images/angle_estimation_2648.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2648_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"270","question_id":"angle_estimation_2648_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2648_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"83","question_id":"angle_estimation_2648_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2648_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[105.2007,240.3918],[240.3671,383.4205]],"scene_type":"single","seed":2648,"vertex":[236.5,251.5]}
-{"angle_1_degrees":10.571915,"angle_2_degrees":91.037564,"angles":[{"angle_degrees":10.571915,"arc_sweep_degrees":10.571915,"ray_endpoints":[[65.5136,334.7962],[29.5785,342.7002]],"vertex":[123.66,266.76]},{"angle_degrees":91.037564,"arc_sweep_degrees":91.037564,"ray_endpoints":[[439.1428,228.5406],[376.0912,388.026]],"vertex":[334.34,266.76]}],"canvas_size":[458,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2649","image_path":"images/angle_estimation_2649.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2649_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2649_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2649_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2649_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2649_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2649}
-{"angle_1_degrees":77.098224,"angle_2_degrees":107.274962,"angles":[{"angle_degrees":77.098224,"arc_sweep_degrees":77.098224,"ray_endpoints":[[53.7224,273.4455],[95.1596,151.4738]],"vertex":[133.38,265.62]},{"angle_degrees":107.274962,"arc_sweep_degrees":107.274962,"ray_endpoints":[[391.6549,190.8711],[467.6313,354.8501]],"vertex":[360.62,265.62]}],"canvas_size":[494,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2650","image_path":"images/angle_estimation_2650.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2650_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2650_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2650_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2650_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2650_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2650}
-{"angle_1_degrees":140.319161,"angle_2_degrees":118.123721,"angles":[{"angle_degrees":140.319161,"arc_sweep_degrees":140.319161,"ray_endpoints":[[101.3124,342.9343],[96.2008,151.8154]],"vertex":[131.49,273.6]},{"angle_degrees":118.123721,"arc_sweep_degrees":118.123721,"ray_endpoints":[[366.9243,178.6445],[447.6611,338.0726]],"vertex":[355.51,273.6]}],"canvas_size":[487,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2651","image_path":"images/angle_estimation_2651.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2651_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2651_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2651_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2651_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2651_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2651}
-{"angle_1_degrees":22.08714,"angle_2_degrees":72.872509,"angles":[{"angle_degrees":22.08714,"arc_sweep_degrees":22.08714,"ray_endpoints":[[87.5281,171.6291],[128.4046,162.557]],"vertex":[122.58,273.03]},{"angle_degrees":72.872509,"arc_sweep_degrees":72.872509,"ray_endpoints":[[428.0685,327.6817],[306.5215,386.6596]],"vertex":[331.42,273.03]}],"canvas_size":[454,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2652","image_path":"images/angle_estimation_2652.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2652_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2652_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2652_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2652_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2652_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2652}
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-{"angle_1_degrees":98.406802,"angle_2_degrees":11.980846,"angles":[{"angle_degrees":98.406802,"arc_sweep_degrees":98.406802,"ray_endpoints":[[68.9948,357.8465],[26.7574,174.982]],"vertex":[128.79,260.49]},{"angle_degrees":11.980846,"arc_sweep_degrees":11.980846,"ray_endpoints":[[329.6837,340.732],[294.6435,375.4606]],"vertex":[348.21,260.49]}],"canvas_size":[477,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2654","image_path":"images/angle_estimation_2654.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2654_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2654_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2654_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2654_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2654_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2654}
-{"angle_1_degrees":57.401389,"angle_2_degrees":40.434254,"angles":[{"angle_degrees":57.401389,"arc_sweep_degrees":57.401389,"ray_endpoints":[[111.0707,204.3364],[215.2801,202.5319]],"vertex":[123.66,283.86]},{"angle_degrees":40.434254,"arc_sweep_degrees":40.434254,"ray_endpoints":[[298.4643,196.7295],[377.226,152.3003]],"vertex":[334.34,283.86]}],"canvas_size":[458,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2655","image_path":"images/angle_estimation_2655.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2655_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2655_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2655_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2655_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2655_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2655}
-{"canvas_size":[458,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2656","image_path":"images/angle_estimation_2656.png","interior_angles_degrees":[46.676656,56.847446,76.475898],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2656_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2656_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2656_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2656_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2656_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2656,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,359.5006],[403.0,359.5006],[260.6017,141.4994]]}
-{"canvas_size":[453,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2657","image_path":"images/angle_estimation_2657.png","interior_angles_degrees":[62.18332,43.20253,74.61415],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2657_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2657_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2657_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2657_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2657_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2657,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,357.6984],[398.0,357.6984],[168.646,142.3016]]}
-{"canvas_size":[452,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2658","image_path":"images/angle_estimation_2658.png","interior_angles_degrees":[70.753772,59.493107,49.75312],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2658_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2658_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2658_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2658_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2658_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2658,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,437.735],[397.0,437.735],[182.2517,73.265]]}
-{"canvas_size":[482,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2659","image_path":"images/angle_estimation_2659.png","interior_angles_degrees":[74.322718,47.698321,57.978961],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2659_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2659_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2659_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2659_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2659_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2659,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,398.2181],[427.0,398.2181],[142.6882,85.7819]]}
-{"canvas_size":[456,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2660","image_path":"images/angle_estimation_2660.png","interior_angles_degrees":[45.245075,55.341249,79.413676],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2660_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2660_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2660_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2660_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2660_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2660,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,345.8018],[401.0,345.8018],[258.8522,140.1982]]}
-{"angle_degrees":82.875552,"arc_sweep_degrees":82.875552,"canvas_size":[471,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2661","image_path":"images/angle_estimation_2661.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2661_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_2661_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2661_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"97","question_id":"angle_estimation_2661_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2661_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[142.9204,407.5198],[123.2067,208.2483]],"scene_type":"single","seed":2661,"vertex":[235.5,261.0]}
-{"angle_degrees":44.602542,"arc_sweep_degrees":44.602542,"canvas_size":[493,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2662","image_path":"images/angle_estimation_2662.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2662_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_2662_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2662_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"135","question_id":"angle_estimation_2662_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2662_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[111.1747,298.7912],[121.5245,191.7775]],"scene_type":"single","seed":2662,"vertex":[246.5,240.5]}
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-{"angle_degrees":210.275667,"arc_sweep_degrees":210.275667,"canvas_size":[469,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2668","image_path":"images/angle_estimation_2668.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2668_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_2668_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2668_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"30","question_id":"angle_estimation_2668_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2668_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[363.5254,277.2872],[125.4488,128.138]],"scene_type":"single","seed":2668,"vertex":[234.5,241.0]}
-{"angle_1_degrees":120.024085,"angle_2_degrees":64.642398,"angles":[{"angle_degrees":120.024085,"arc_sweep_degrees":120.024085,"ray_endpoints":[[199.1221,228.2221],[125.1424,381.9009]],"vertex":[126.09,269.61]},{"angle_degrees":64.642398,"arc_sweep_degrees":64.642398,"ray_endpoints":[[250.1112,275.7999],[288.7982,176.5863]],"vertex":[340.91,269.61]}],"canvas_size":[467,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2669","image_path":"images/angle_estimation_2669.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2669_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2669_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2669_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2669_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2669_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2669}
-{"angle_1_degrees":143.979352,"angle_2_degrees":64.012047,"angles":[{"angle_degrees":143.979352,"arc_sweep_degrees":143.979352,"ray_endpoints":[[39.4506,343.27],[171.9015,162.2777]],"vertex":[131.76,278.73]},{"angle_degrees":64.012047,"arc_sweep_degrees":64.012047,"ray_endpoints":[[460.4203,278.8942],[413.7241,397.1262]],"vertex":[356.24,278.73]}],"canvas_size":[488,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2670","image_path":"images/angle_estimation_2670.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2670_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2670_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2670_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2670_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2670_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2670}
-{"angle_1_degrees":30.883418,"angle_2_degrees":60.188992,"angles":[{"angle_degrees":30.883418,"arc_sweep_degrees":30.883418,"ray_endpoints":[[123.3297,174.4876],[197.2328,146.5398]],"vertex":[123.39,270.18]},{"angle_degrees":60.188992,"arc_sweep_degrees":60.188992,"ray_endpoints":[[242.6049,212.4675],[339.2304,144.989]],"vertex":[333.61,270.18]}],"canvas_size":[457,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2671","image_path":"images/angle_estimation_2671.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2671_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2671_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2671_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2671_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2671_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2671}
-{"angle_1_degrees":45.845916,"angle_2_degrees":133.591015,"angles":[{"angle_degrees":45.845916,"arc_sweep_degrees":45.845916,"ray_endpoints":[[112.1955,358.8582],[35.3584,334.0756]],"vertex":[127.44,271.32]},{"angle_degrees":133.591015,"arc_sweep_degrees":133.591015,"ray_endpoints":[[453.5206,249.1705],[282.3305,370.5204]],"vertex":[344.56,271.32]}],"canvas_size":[472,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2672","image_path":"images/angle_estimation_2672.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2672_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2672_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2672_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2672_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2672_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2672}
-{"angle_1_degrees":100.168198,"angle_2_degrees":24.777395,"angles":[{"angle_degrees":100.168198,"arc_sweep_degrees":100.168198,"ray_endpoints":[[202.4593,363.0572],[14.1262,349.0918]],"vertex":[125.01,278.73]},{"angle_degrees":24.777395,"arc_sweep_degrees":24.777395,"ray_endpoints":[[279.078,185.5336],[320.1652,143.7143]],"vertex":[337.99,278.73]}],"canvas_size":[463,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2673","image_path":"images/angle_estimation_2673.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2673_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2673_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2673_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2673_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2673_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2673}
-{"angle_1_degrees":58.576024,"angle_2_degrees":19.296554,"angles":[{"angle_degrees":58.576024,"arc_sweep_degrees":58.576024,"ray_endpoints":[[211.3749,238.8877],[221.6804,344.4785]],"vertex":[134.46,257.64]},{"angle_degrees":19.296554,"arc_sweep_degrees":19.296554,"ray_endpoints":[[423.0835,168.6042],[457.1026,187.3134]],"vertex":[363.54,257.64]}],"canvas_size":[498,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2674","image_path":"images/angle_estimation_2674.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2674_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2674_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2674_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2674_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2674_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2674}
-{"angle_1_degrees":152.615267,"angle_2_degrees":20.892959,"angles":[{"angle_degrees":152.615267,"arc_sweep_degrees":152.615267,"ray_endpoints":[[107.7783,357.3578],[96.857,119.0088]],"vertex":[131.49,257.07]},{"angle_degrees":20.892959,"arc_sweep_degrees":20.892959,"ray_endpoints":[[357.4638,144.2641],[401.9476,141.4667]],"vertex":[355.51,257.07]}],"canvas_size":[487,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2675","image_path":"images/angle_estimation_2675.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2675_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2675_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_2675_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2675_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2675_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2675}
-{"canvas_size":[466,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2676","image_path":"images/angle_estimation_2676.png","interior_angles_degrees":[90.642059,46.710972,42.646968],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2676_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2676_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2676_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2676_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2676_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2676,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[59.2352,443.9615],[411.0,443.9615],[55.0,66.0385]]}
-{"canvas_size":[465,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2677","image_path":"images/angle_estimation_2677.png","interior_angles_degrees":[90.391911,34.429155,55.178933],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2677_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2677_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2677_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2677_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2677_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2677,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.6645,383.1695],[410.0,383.1695],[55.0,139.8305]]}
-{"canvas_size":[457,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2678","image_path":"images/angle_estimation_2678.png","interior_angles_degrees":[90.75782,41.149714,48.092466],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2678_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2678_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2678_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2678_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2678_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2678,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[59.011,409.119],[402.0,409.119],[55.0,105.881]]}
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-{"angle_degrees":238.723609,"arc_sweep_degrees":238.723609,"canvas_size":[453,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2681","image_path":"images/angle_estimation_2681.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2681_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_2681_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2681_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"59","question_id":"angle_estimation_2681_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2681_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[79.2322,195.2218],[254.8981,347.0873]],"scene_type":"single","seed":2681,"vertex":[226.5,239.0]}
-{"angle_degrees":320.974489,"arc_sweep_degrees":320.974489,"canvas_size":[453,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2682","image_path":"images/angle_estimation_2682.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2682_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_2682_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2682_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"141","question_id":"angle_estimation_2682_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2682_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[117.6078,122.4251],[117.0736,228.8959]],"scene_type":"single","seed":2682,"vertex":[226.5,248.5]}
-{"angle_degrees":203.69005,"arc_sweep_degrees":203.69005,"canvas_size":[497,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2683","image_path":"images/angle_estimation_2683.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2683_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_2683_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2683_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"24","question_id":"angle_estimation_2683_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2683_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[323.9412,387.4114],[234.2661,145.2211]],"scene_type":"single","seed":2683,"vertex":[248.5,260.5]}
-{"angle_degrees":221.042223,"arc_sweep_degrees":221.042223,"canvas_size":[470,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2684","image_path":"images/angle_estimation_2684.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2684_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2684_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2684_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"41","question_id":"angle_estimation_2684_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2684_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[206.0455,398.2145],[352.8337,161.9889]],"scene_type":"single","seed":2684,"vertex":[235.0,253.0]}
-{"angle_degrees":44.99999,"arc_sweep_degrees":44.99999,"canvas_size":[464,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2685","image_path":"images/angle_estimation_2685.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2685_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_2685_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2685_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"135","question_id":"angle_estimation_2685_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2685_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[158.5644,406.6103],[126.5115,289.1981]],"scene_type":"single","seed":2685,"vertex":[232.0,251.5]}
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-{"angle_degrees":197.723974,"arc_sweep_degrees":197.723974,"canvas_size":[490,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2688","image_path":"images/angle_estimation_2688.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2688_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_2688_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2688_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"18","question_id":"angle_estimation_2688_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2688_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[205.8928,93.6405],[237.4967,391.1364]],"scene_type":"single","seed":2688,"vertex":[245.0,241.0]}
-{"angle_1_degrees":19.28145,"angle_2_degrees":119.765751,"angles":[{"angle_degrees":19.28145,"arc_sweep_degrees":19.28145,"ray_endpoints":[[132.8555,349.7476],[93.8069,389.196]],"vertex":[122.04,260.49]},{"angle_degrees":119.765751,"arc_sweep_degrees":119.765751,"ray_endpoints":[[375.9557,195.3555],[389.3353,387.7868]],"vertex":[329.96,260.49]}],"canvas_size":[452,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2689","image_path":"images/angle_estimation_2689.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2689_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2689_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2689_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2689_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2689_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2689}
-{"angle_1_degrees":72.967841,"angle_2_degrees":27.272186,"angles":[{"angle_degrees":72.967841,"arc_sweep_degrees":72.967841,"ray_endpoints":[[204.3771,353.4774],[67.0095,400.0049]],"vertex":[127.17,279.87]},{"angle_degrees":27.272186,"arc_sweep_degrees":27.272186,"ray_endpoints":[[329.7619,168.6206],[392.8408,145.6883]],"vertex":[343.83,279.87]}],"canvas_size":[471,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2690","image_path":"images/angle_estimation_2690.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2690_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2690_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2690_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2690_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2690_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2690}
-{"angle_1_degrees":28.26193,"angle_2_degrees":161.205128,"angles":[{"angle_degrees":28.26193,"arc_sweep_degrees":28.26193,"ray_endpoints":[[37.1129,318.2913],[12.8876,269.3143]],"vertex":[127.44,261.63]},{"angle_degrees":161.205128,"arc_sweep_degrees":161.205128,"ray_endpoints":[[297.3457,162.4446],[421.4837,340.5936]],"vertex":[344.56,261.63]}],"canvas_size":[472,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2691","image_path":"images/angle_estimation_2691.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2691_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2691_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_2691_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2691_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2691_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2691}
-{"angle_1_degrees":89.762824,"angle_2_degrees":112.767505,"angles":[{"angle_degrees":89.762824,"arc_sweep_degrees":89.762824,"ray_endpoints":[[186.1762,351.4451],[22.5833,347.5198]],"vertex":[125.82,270.18]},{"angle_degrees":112.767505,"arc_sweep_degrees":112.767505,"ray_endpoints":[[411.768,206.2835],[385.9944,403.3609]],"vertex":[340.18,270.18]}],"canvas_size":[466,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2692","image_path":"images/angle_estimation_2692.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2692_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2692_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2692_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2692_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2692_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2692}
-{"angle_1_degrees":49.875029,"angle_2_degrees":40.221812,"angles":[{"angle_degrees":49.875029,"arc_sweep_degrees":49.875029,"ray_endpoints":[[209.6354,302.0804],[159.7289,375.313]],"vertex":[133.65,263.34]},{"angle_degrees":40.221812,"arc_sweep_degrees":40.221812,"ray_endpoints":[[430.5567,354.4244],[355.3148,378.7322]],"vertex":[361.35,263.34]}],"canvas_size":[495,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2693","image_path":"images/angle_estimation_2693.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2693_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2693_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2693_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2693_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2693_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2693}
-{"angle_1_degrees":125.809833,"angle_2_degrees":48.635919,"angles":[{"angle_degrees":125.809833,"arc_sweep_degrees":125.809833,"ray_endpoints":[[125.4122,355.6456],[15.8405,193.8977]],"vertex":[126.63,276.45]},{"angle_degrees":48.635919,"arc_sweep_degrees":48.635919,"ray_endpoints":[[334.6824,174.7632],[426.962,189.8033]],"vertex":[342.37,276.45]}],"canvas_size":[469,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2694","image_path":"images/angle_estimation_2694.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2694_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2694_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2694_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2694_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2694_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2694}
-{"angle_1_degrees":157.821441,"angle_2_degrees":56.565762,"angles":[{"angle_degrees":157.821441,"arc_sweep_degrees":157.821441,"ray_endpoints":[[173.0901,172.9395],[136.4741,418.4647]],"vertex":[133.11,278.16]},{"angle_degrees":56.565762,"arc_sweep_degrees":56.565762,"ray_endpoints":[[411.5868,180.3061],[479.254,266.4847]],"vertex":[359.89,278.16]}],"canvas_size":[493,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2695","image_path":"images/angle_estimation_2695.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2695_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2695_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2695_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2695_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2695_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2695}
-{"canvas_size":[489,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2696","image_path":"images/angle_estimation_2696.png","interior_angles_degrees":[134.310267,17.091157,28.598575],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2696_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2696_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2696_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2696_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2696_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2696,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[168.7592,321.7658],[434.0,321.7658],[55.0,205.2342]]}
-{"canvas_size":[497,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2697","image_path":"images/angle_estimation_2697.png","interior_angles_degrees":[102.372455,29.602082,48.025463],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2697_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2697_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2697_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2697_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2697_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2697,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[103.2297,370.9326],[442.0,370.9326],[55.0,151.0674]]}
-{"canvas_size":[464,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2698","image_path":"images/angle_estimation_2698.png","interior_angles_degrees":[131.912834,17.481689,30.605477],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2698_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2698_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2698_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2698_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2698_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2698,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[155.0806,314.7457],[409.0,314.7457],[55.0,203.2543]]}
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-{"angle_degrees":165.013743,"arc_sweep_degrees":165.013743,"canvas_size":[460,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2702","image_path":"images/angle_estimation_2702.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2702_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_2702_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2702_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"15","question_id":"angle_estimation_2702_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2702_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[349.9391,339.446],[78.7938,189.7424]],"scene_type":"single","seed":2702,"vertex":[230.0,250.0]}
-{"angle_degrees":163.732613,"arc_sweep_degrees":163.732613,"canvas_size":[476,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2703","image_path":"images/angle_estimation_2703.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2703_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_2703_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2703_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"16","question_id":"angle_estimation_2703_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2703_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[365.337,240.717],[108.3185,296.1723]],"scene_type":"single","seed":2703,"vertex":[238.0,249.0]}
-{"angle_degrees":51.265927,"arc_sweep_degrees":51.265927,"canvas_size":[487,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2704","image_path":"images/angle_estimation_2704.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2704_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_2704_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2704_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"129","question_id":"angle_estimation_2704_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2704_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[171.0903,389.4512],[85.9444,283.7517]],"scene_type":"single","seed":2704,"vertex":[243.5,254.5]}
-{"angle_degrees":44.999989,"arc_sweep_degrees":44.999989,"canvas_size":[461,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2705","image_path":"images/angle_estimation_2705.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2705_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_2705_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2705_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"135","question_id":"angle_estimation_2705_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2705_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[134.3175,110.2842],[254.3482,125.7813]],"scene_type":"single","seed":2705,"vertex":[230.5,251.5]}
-{"angle_degrees":32.3712,"arc_sweep_degrees":32.3712,"canvas_size":[491,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2706","image_path":"images/angle_estimation_2706.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2706_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2706_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2706_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"148","question_id":"angle_estimation_2706_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2706_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[389.6718,346.9112],[292.4622,354.0028]],"scene_type":"single","seed":2706,"vertex":[245.5,260.0]}
-{"angle_degrees":332.787076,"arc_sweep_degrees":332.787076,"canvas_size":[472,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2707","image_path":"images/angle_estimation_2707.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2707_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_2707_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2707_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"153","question_id":"angle_estimation_2707_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2707_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[102.1644,226.5478],[112.5675,288.4112]],"scene_type":"single","seed":2707,"vertex":[236.0,243.5]}
-{"angle_degrees":11.146656,"arc_sweep_degrees":11.146656,"canvas_size":[496,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2708","image_path":"images/angle_estimation_2708.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2708_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_2708_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2708_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"169","question_id":"angle_estimation_2708_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2708_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[380.7119,291.0279],[386.1033,326.1175]],"scene_type":"single","seed":2708,"vertex":[248.0,243.0]}
-{"angle_1_degrees":50.638607,"angle_2_degrees":40.033449,"angles":[{"angle_degrees":50.638607,"arc_sweep_degrees":50.638607,"ray_endpoints":[[99.585,350.4078],[14.696,302.751]],"vertex":[132.57,262.77]},{"angle_degrees":40.033449,"arc_sweep_degrees":40.033449,"ray_endpoints":[[466.5908,272.4686],[433.1555,337.9071]],"vertex":[358.43,262.77]}],"canvas_size":[491,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2709","image_path":"images/angle_estimation_2709.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2709_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2709_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2709_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2709_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2709_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2709}
-{"angle_1_degrees":33.702773,"angle_2_degrees":139.295989,"angles":[{"angle_degrees":33.702773,"arc_sweep_degrees":33.702773,"ray_endpoints":[[101.7448,366.2456],[20.1985,359.3587]],"vertex":[130.14,265.05]},{"angle_degrees":139.295989,"arc_sweep_degrees":139.295989,"ray_endpoints":[[371.3193,371.5661],[259.9468,190.7718]],"vertex":[351.86,265.05]}],"canvas_size":[482,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2710","image_path":"images/angle_estimation_2710.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2710_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2710_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_2710_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2710_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2710_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2710}
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-{"angle_1_degrees":57.117667,"angle_2_degrees":20.533765,"angles":[{"angle_degrees":57.117667,"arc_sweep_degrees":57.117667,"ray_endpoints":[[59.6769,200.0212],[149.541,155.9761]],"vertex":[126.09,266.19]},{"angle_degrees":20.533765,"arc_sweep_degrees":20.533765,"ray_endpoints":[[307.8357,169.4613],[344.406,145.3203]],"vertex":[340.91,266.19]}],"canvas_size":[467,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2712","image_path":"images/angle_estimation_2712.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2712_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2712_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2712_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2712_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2712_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2712}
-{"angle_1_degrees":31.886732,"angle_2_degrees":148.453932,"angles":[{"angle_degrees":31.886732,"arc_sweep_degrees":31.886732,"ray_endpoints":[[29.9642,214.6444],[61.3461,153.84]],"vertex":[129.6,263.91]},{"angle_degrees":148.453932,"arc_sweep_degrees":148.453932,"ray_endpoints":[[438.2485,247.7456],[260.9593,344.3638]],"vertex":[350.4,263.91]}],"canvas_size":[480,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2713","image_path":"images/angle_estimation_2713.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2713_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2713_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_2713_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2713_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2713_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2713}
-{"angle_1_degrees":116.80246,"angle_2_degrees":16.757155,"angles":[{"angle_degrees":116.80246,"arc_sweep_degrees":116.80246,"ray_endpoints":[[144.1412,181.3078],[226.9815,349.7217]],"vertex":[129.06,279.87]},{"angle_degrees":16.757155,"arc_sweep_degrees":16.757155,"ray_endpoints":[[368.7842,369.0701],[339.7007,405.2387]],"vertex":[348.94,279.87]}],"canvas_size":[478,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2714","image_path":"images/angle_estimation_2714.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2714_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2714_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2714_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2714_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2714_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2714}
-{"angle_1_degrees":55.452354,"angle_2_degrees":25.071244,"angles":[{"angle_degrees":55.452354,"arc_sweep_degrees":55.452354,"ray_endpoints":[[79.8998,215.2127],[155.3296,166.4874]],"vertex":[133.38,271.32]},{"angle_degrees":25.071244,"arc_sweep_degrees":25.071244,"ray_endpoints":[[347.9966,164.5186],[404.6364,138.4635]],"vertex":[360.62,271.32]}],"canvas_size":[494,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2715","image_path":"images/angle_estimation_2715.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2715_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2715_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2715_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2715_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2715_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2715}
-{"canvas_size":[450,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2716","image_path":"images/angle_estimation_2716.png","interior_angles_degrees":[58.75335,77.261202,43.985449],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2716_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2716_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2716_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2716_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2716_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2716,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[66.3504,446.0],[383.6496,446.0],[297.5164,65.0]]}
-{"canvas_size":[489,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2717","image_path":"images/angle_estimation_2717.png","interior_angles_degrees":[58.976907,74.874157,46.148936],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2717_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2717_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2717_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2717_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2717_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2717,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[85.4122,430.0],[403.5878,430.0],[304.9266,65.0]]}
-{"canvas_size":[463,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2718","image_path":"images/angle_estimation_2718.png","interior_angles_degrees":[63.690183,34.963857,81.345961],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2718_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2718_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2718_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2718_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2718_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2718,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,331.7116],[408.0,331.7116],[145.6925,148.2884]]}
-{"canvas_size":[491,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2719","image_path":"images/angle_estimation_2719.png","interior_angles_degrees":[57.325793,56.686854,65.987353],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2719_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2719_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2719_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2719_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2719_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2719,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,404.2011],[436.0,404.2011],[243.1744,110.7989]]}
-{"canvas_size":[462,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2720","image_path":"images/angle_estimation_2720.png","interior_angles_degrees":[54.176358,40.662597,85.161046],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2720_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2720_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2720_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2720_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2720_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2720,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,338.3195],[407.0,338.3195],[189.7254,151.6805]]}
-{"angle_degrees":205.769399,"arc_sweep_degrees":205.769399,"canvas_size":[484,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2721","image_path":"images/angle_estimation_2721.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2721_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_2721_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2721_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"26","question_id":"angle_estimation_2721_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2721_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[385.9617,169.8741],[122.9495,260.1872]],"scene_type":"single","seed":2721,"vertex":[242.0,252.0]}
-{"angle_degrees":237.150748,"arc_sweep_degrees":237.150748,"canvas_size":[469,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2722","image_path":"images/angle_estimation_2722.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2722_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_2722_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2722_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"57","question_id":"angle_estimation_2722_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2722_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[366.1518,221.3652],[153.4521,163.7988]],"scene_type":"single","seed":2722,"vertex":[234.5,247.5]}
-{"angle_degrees":159.860876,"arc_sweep_degrees":159.860876,"canvas_size":[493,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2723","image_path":"images/angle_estimation_2723.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2723_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_2723_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2723_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"20","question_id":"angle_estimation_2723_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2723_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[109.7167,177.656],[396.476,252.4006]],"scene_type":"single","seed":2723,"vertex":[246.5,240.5]}
-{"angle_degrees":232.147193,"arc_sweep_degrees":232.147193,"canvas_size":[493,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2724","image_path":"images/angle_estimation_2724.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2724_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2724_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2724_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"52","question_id":"angle_estimation_2724_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2724_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[90.7853,237.9996],[309.2266,374.7404]],"scene_type":"single","seed":2724,"vertex":[246.5,262.0]}
-{"angle_degrees":179.999995,"arc_sweep_degrees":179.999995,"canvas_size":[479,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2725","image_path":"images/angle_estimation_2725.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2725_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_2725_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2725_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_2725_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2725_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[278.0229,80.3266],[203.9803,405.4849]],"scene_type":"single","seed":2725,"vertex":[239.5,249.5]}
-{"angle_degrees":130.640551,"arc_sweep_degrees":130.640551,"canvas_size":[460,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2726","image_path":"images/angle_estimation_2726.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2726_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2726_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2726_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"49","question_id":"angle_estimation_2726_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2726_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[133.8761,329.5138],[222.8427,105.683]],"scene_type":"single","seed":2726,"vertex":[230.0,237.5]}
-{"angle_degrees":162.106075,"arc_sweep_degrees":162.106075,"canvas_size":[468,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2727","image_path":"images/angle_estimation_2727.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2727_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_2727_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2727_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"18","question_id":"angle_estimation_2727_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2727_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[360.7015,259.7131],[108.8875,282.1012]],"scene_type":"single","seed":2727,"vertex":[234.0,251.0]}
-{"angle_degrees":116.627784,"arc_sweep_degrees":116.627784,"canvas_size":[452,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2728","image_path":"images/angle_estimation_2728.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2728_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_2728_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2728_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"63","question_id":"angle_estimation_2728_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2728_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[173.4384,403.2543],[116.5084,140.2443]],"scene_type":"single","seed":2728,"vertex":[226.0,253.5]}
-{"angle_1_degrees":147.597733,"angle_2_degrees":33.049468,"angles":[{"angle_degrees":147.597733,"arc_sweep_degrees":147.597733,"ray_endpoints":[[201.7094,209.1967],[70.4124,385.1459]],"vertex":[123.66,262.2]},{"angle_degrees":33.049468,"arc_sweep_degrees":33.049468,"ray_endpoints":[[292.2632,188.6297],[341.5062,137.2738]],"vertex":[334.34,262.2]}],"canvas_size":[458,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2729","image_path":"images/angle_estimation_2729.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2729_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2729_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_2729_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2729_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2729_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2729}
-{"angle_1_degrees":68.419922,"angle_2_degrees":91.94171,"angles":[{"angle_degrees":68.419922,"arc_sweep_degrees":68.419922,"ray_endpoints":[[45.6926,294.2307],[38.799,166.4102]],"vertex":[121.77,271.32]},{"angle_degrees":91.94171,"arc_sweep_degrees":91.94171,"ray_endpoints":[[423.3056,334.7537],[251.6842,378.316]],"vertex":[329.23,271.32]}],"canvas_size":[451,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2730","image_path":"images/angle_estimation_2730.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2730_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2730_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2730_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2730_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2730_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2730}
-{"angle_1_degrees":70.689432,"angle_2_degrees":26.674346,"angles":[{"angle_degrees":70.689432,"arc_sweep_degrees":70.689432,"ray_endpoints":[[207.8708,259.6975],[217.6543,394.7451]],"vertex":[132.84,284.43]},{"angle_degrees":26.674346,"arc_sweep_degrees":26.674346,"ray_endpoints":[[328.1082,361.6037],[266.3682,366.259]],"vertex":[359.16,284.43]}],"canvas_size":[492,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2731","image_path":"images/angle_estimation_2731.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2731_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2731_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2731_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2731_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2731_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2731}
-{"angle_1_degrees":62.738036,"angle_2_degrees":113.205875,"angles":[{"angle_degrees":62.738036,"arc_sweep_degrees":62.738036,"ray_endpoints":[[218.1638,286.8269],[181.9583,399.0049]],"vertex":[133.92,278.73]},{"angle_degrees":113.205875,"arc_sweep_degrees":113.205875,"ray_endpoints":[[443.6126,210.8076],[394.4579,387.4032]],"vertex":[362.08,278.73]}],"canvas_size":[496,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2732","image_path":"images/angle_estimation_2732.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2732_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2732_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2732_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2732_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2732_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2732}
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-{"angle_1_degrees":77.380832,"angle_2_degrees":24.696639,"angles":[{"angle_degrees":77.380832,"arc_sweep_degrees":77.380832,"ray_endpoints":[[181.9957,336.8461],[42.1991,363.7487]],"vertex":[121.5,262.77]},{"angle_degrees":24.696639,"arc_sweep_degrees":24.696639,"ray_endpoints":[[323.8273,351.2427],[268.3111,377.3162]],"vertex":[328.5,262.77]}],"canvas_size":[450,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2734","image_path":"images/angle_estimation_2734.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2734_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2734_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2734_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2734_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2734_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2734}
-{"angle_1_degrees":127.593151,"angle_2_degrees":59.270776,"angles":[{"angle_degrees":127.593151,"arc_sweep_degrees":127.593151,"ray_endpoints":[[38.6181,300.7622],[153.6147,122.5886]],"vertex":[125.82,258.21]},{"angle_degrees":59.270776,"arc_sweep_degrees":59.270776,"ray_endpoints":[[270.125,177.7935],[375.8422,149.8063]],"vertex":[340.18,258.21]}],"canvas_size":[466,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2735","image_path":"images/angle_estimation_2735.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2735_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2735_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2735_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2735_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2735_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2735}
-{"canvas_size":[453,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2736","image_path":"images/angle_estimation_2736.png","interior_angles_degrees":[90.890509,30.957713,58.151778],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2736_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2736_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2736_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2736_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2736_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2736,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[58.1981,356.3754],[398.0,356.3754],[55.0,150.6246]]}
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-{"canvas_size":[475,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2738","image_path":"images/angle_estimation_2738.png","interior_angles_degrees":[89.302171,35.71602,54.981809],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2738_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2738_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2738_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2738_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2738_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2738,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,383.5778],[420.0,383.5778],[58.1687,123.4222]]}
-{"canvas_size":[475,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2739","image_path":"images/angle_estimation_2739.png","interior_angles_degrees":[90.714549,50.033064,39.252386],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2739_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2739_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2739_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2739_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2739_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2739,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[84.2169,442.0],[395.485,442.0],[79.515,65.0]]}
-{"canvas_size":[490,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2740","image_path":"images/angle_estimation_2740.png","interior_angles_degrees":[90.381738,32.016983,57.601279],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2740_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2740_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2740_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2740_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2740_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2740,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.5831,376.8035],[435.0,376.8035],[55.0,139.1965]]}
-{"angle_degrees":226.093743,"arc_sweep_degrees":226.093743,"canvas_size":[478,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2741","image_path":"images/angle_estimation_2741.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2741_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2741_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2741_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"46","question_id":"angle_estimation_2741_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2741_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[369.8953,127.3687],[130.6164,229.0471]],"scene_type":"single","seed":2741,"vertex":[239.0,239.5]}
-{"angle_degrees":301.637899,"arc_sweep_degrees":301.637899,"canvas_size":[474,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2742","image_path":"images/angle_estimation_2742.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2742_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_2742_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2742_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"122","question_id":"angle_estimation_2742_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2742_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[121.6991,387.7093],[284.924,412.7204]],"scene_type":"single","seed":2742,"vertex":[237.0,256.5]}
-{"angle_degrees":29.74707,"arc_sweep_degrees":29.74707,"canvas_size":[462,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2743","image_path":"images/angle_estimation_2743.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2743_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2743_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2743_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_2743_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2743_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[116.4347,301.3267],[95.2697,236.542]],"scene_type":"single","seed":2743,"vertex":[231.0,245.0]}
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-{"angle_degrees":109.942882,"arc_sweep_degrees":109.942882,"canvas_size":[465,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2747","image_path":"images/angle_estimation_2747.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2747_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_2747_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2747_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"70","question_id":"angle_estimation_2747_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2747_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[222.4405,386.1687],[86.0246,177.4438]],"scene_type":"single","seed":2747,"vertex":[232.5,242.5]}
-{"angle_degrees":252.434115,"arc_sweep_degrees":252.434115,"canvas_size":[492,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2748","image_path":"images/angle_estimation_2748.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2748_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_2748_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2748_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"72","question_id":"angle_estimation_2748_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2748_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[342.8554,388.5252],[345.8352,119.2932]],"scene_type":"single","seed":2748,"vertex":[246.0,246.0]}
-{"angle_1_degrees":146.952552,"angle_2_degrees":65.020717,"angles":[{"angle_degrees":146.952552,"arc_sweep_degrees":146.952552,"ray_endpoints":[[53.9879,308.0208],[188.5813,157.3382]],"vertex":[123.66,271.89]},{"angle_degrees":65.020717,"arc_sweep_degrees":65.020717,"ray_endpoints":[[435.9606,244.5376],[425.4836,380.3411]],"vertex":[334.34,271.89]}],"canvas_size":[458,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2749","image_path":"images/angle_estimation_2749.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2749_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2749_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2749_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2749_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2749_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2749}
-{"angle_1_degrees":78.111328,"angle_2_degrees":20.016,"angles":[{"angle_degrees":78.111328,"arc_sweep_degrees":78.111328,"ray_endpoints":[[38.1562,319.6352],[38.6494,164.9674]],"vertex":[123.93,280.44]},{"angle_degrees":20.016,"arc_sweep_degrees":20.016,"ray_endpoints":[[431.7112,323.3223],[412.8662,355.4205]],"vertex":[335.07,280.44]}],"canvas_size":[459,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2750","image_path":"images/angle_estimation_2750.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2750_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2750_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2750_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2750_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2750_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2750}
-{"angle_1_degrees":36.546876,"angle_2_degrees":143.633128,"angles":[{"angle_degrees":36.546876,"arc_sweep_degrees":36.546876,"ray_endpoints":[[82.9475,361.0121],[20.1828,318.0314]],"vertex":[132.84,260.49]},{"angle_degrees":143.633128,"arc_sweep_degrees":143.633128,"ray_endpoints":[[454.0958,209.6848],[304.7098,374.7523]],"vertex":[359.16,260.49]}],"canvas_size":[492,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2751","image_path":"images/angle_estimation_2751.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2751_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2751_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_2751_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2751_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2751_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2751}
-{"angle_1_degrees":26.834793,"angle_2_degrees":37.488628,"angles":[{"angle_degrees":26.834793,"arc_sweep_degrees":26.834793,"ray_endpoints":[[25.6736,298.1294],[26.7518,247.7524]],"vertex":[131.76,276.45]},{"angle_degrees":37.488628,"arc_sweep_degrees":37.488628,"ray_endpoints":[[461.0119,263.066],[448.73,330.2996]],"vertex":[356.24,276.45]}],"canvas_size":[488,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2752","image_path":"images/angle_estimation_2752.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2752_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2752_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2752_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2752_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2752_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2752}
-{"angle_1_degrees":24.541676,"angle_2_degrees":57.243167,"angles":[{"angle_degrees":24.541676,"arc_sweep_degrees":24.541676,"ray_endpoints":[[181.448,327.7583],[164.5472,382.9863]],"vertex":[125.01,268.47]},{"angle_degrees":57.243167,"arc_sweep_degrees":57.243167,"ray_endpoints":[[424.2012,246.1563],[418.2811,342.6435]],"vertex":[337.99,268.47]}],"canvas_size":[463,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2753","image_path":"images/angle_estimation_2753.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2753_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2753_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2753_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2753_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2753_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2753}
-{"angle_1_degrees":40.748167,"angle_2_degrees":136.368229,"angles":[{"angle_degrees":40.748167,"arc_sweep_degrees":40.748167,"ray_endpoints":[[91.5235,161.3866],[169.8767,164.5925]],"vertex":[131.49,268.47]},{"angle_degrees":136.368229,"arc_sweep_degrees":136.368229,"ray_endpoints":[[295.1712,342.3508],[346.2887,148.4394]],"vertex":[355.51,268.47]}],"canvas_size":[487,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2754","image_path":"images/angle_estimation_2754.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2754_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2754_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2754_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2754_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2754_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2754}
-{"angle_1_degrees":152.173863,"angle_2_degrees":119.651912,"angles":[{"angle_degrees":152.173863,"arc_sweep_degrees":152.173863,"ray_endpoints":[[103.4862,180.0583],[217.4776,353.8568]],"vertex":[133.92,273.03]},{"angle_degrees":119.651912,"arc_sweep_degrees":119.651912,"ray_endpoints":[[297.2963,313.7216],[356.1899,137.1244]],"vertex":[362.08,273.03]}],"canvas_size":[496,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2755","image_path":"images/angle_estimation_2755.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2755_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2755_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2755_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2755_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2755_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2755}
-{"canvas_size":[481,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2756","image_path":"images/angle_estimation_2756.png","interior_angles_degrees":[123.506354,24.882607,31.611039],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2756_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2756_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2756_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2756_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2756_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2756,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[168.9218,327.5378],[426.0,327.5378],[55.0,155.4622]]}
-{"canvas_size":[472,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2757","image_path":"images/angle_estimation_2757.png","interior_angles_degrees":[122.354898,22.82238,34.822722],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2757_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2757_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2757_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2757_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2757_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2757,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[151.508,327.6686],[417.0,327.6686],[55.0,175.3314]]}
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-{"canvas_size":[491,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2760","image_path":"images/angle_estimation_2760.png","interior_angles_degrees":[127.670998,21.756877,30.572124],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2760_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2760_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2760_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2760_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2760_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2760,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[172.3998,323.0283],[436.0,323.0283],[55.0,170.9717]]}
-{"angle_degrees":97.026554,"arc_sweep_degrees":97.026554,"canvas_size":[460,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2761","image_path":"images/angle_estimation_2761.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2761_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_2761_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2761_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"83","question_id":"angle_estimation_2761_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2761_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[228.9903,417.8826],[88.7979,230.241]],"scene_type":"single","seed":2761,"vertex":[230.0,248.5]}
-{"angle_degrees":327.007962,"arc_sweep_degrees":327.007962,"canvas_size":[460,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2762","image_path":"images/angle_estimation_2762.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2762_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_2762_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2762_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"147","question_id":"angle_estimation_2762_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2762_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[98.5433,283.9272],[147.0246,339.8769]],"scene_type":"single","seed":2762,"vertex":[230.0,252.0]}
-{"angle_degrees":135.428447,"arc_sweep_degrees":135.428447,"canvas_size":[472,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2763","image_path":"images/angle_estimation_2763.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2763_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2763_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2763_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"45","question_id":"angle_estimation_2763_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2763_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[391.0981,311.904],[117.1643,293.8065]],"scene_type":"single","seed":2763,"vertex":[236.0,246.5]}
-{"angle_degrees":281.78603,"arc_sweep_degrees":281.78603,"canvas_size":[480,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2764","image_path":"images/angle_estimation_2764.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2764_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_2764_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2764_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"102","question_id":"angle_estimation_2764_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2764_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[298.6453,374.3304],[360.5079,218.3653]],"scene_type":"single","seed":2764,"vertex":[240.0,245.5]}
-{"angle_degrees":44.999996,"arc_sweep_degrees":44.999996,"canvas_size":[454,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2765","image_path":"images/angle_estimation_2765.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2765_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_2765_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2765_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"135","question_id":"angle_estimation_2765_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2765_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[333.9779,357.4119],[229.5926,388.3314]],"scene_type":"single","seed":2765,"vertex":[227.0,254.5]}
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-{"angle_degrees":280.903609,"arc_sweep_degrees":280.903609,"canvas_size":[498,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2768","image_path":"images/angle_estimation_2768.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2768_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_2768_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2768_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"101","question_id":"angle_estimation_2768_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2768_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[253.6466,371.3786],[384.9198,258.8229]],"scene_type":"single","seed":2768,"vertex":[249.0,237.5]}
-{"angle_1_degrees":16.090569,"angle_2_degrees":71.352441,"angles":[{"angle_degrees":16.090569,"arc_sweep_degrees":16.090569,"ray_endpoints":[[152.6207,181.0616],[195.1148,161.8972]],"vertex":[124.2,259.35]},{"angle_degrees":71.352441,"arc_sweep_degrees":71.352441,"ray_endpoints":[[248.3314,227.5921],[338.5426,139.1669]],"vertex":[335.8,259.35]}],"canvas_size":[460,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2769","image_path":"images/angle_estimation_2769.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2769_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2769_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2769_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2769_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2769_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2769}
-{"angle_1_degrees":28.361164,"angle_2_degrees":158.499797,"angles":[{"angle_degrees":28.361164,"arc_sweep_degrees":28.361164,"ray_endpoints":[[109.3651,367.8152],[53.4395,366.6101]],"vertex":[123.39,273.03]},{"angle_degrees":158.499797,"arc_sweep_degrees":158.499797,"ray_endpoints":[[363.1031,346.1974],[245.8052,180.3545]],"vertex":[333.61,273.03]}],"canvas_size":[457,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2770","image_path":"images/angle_estimation_2770.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2770_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2770_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_2770_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2770_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2770_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2770}
-{"angle_1_degrees":149.804828,"angle_2_degrees":159.862669,"angles":[{"angle_degrees":149.804828,"arc_sweep_degrees":149.804828,"ray_endpoints":[[135.164,174.9244],[174.4174,376.892]],"vertex":[125.01,264.48]},{"angle_degrees":159.862669,"arc_sweep_degrees":159.862669,"ray_endpoints":[[253.0634,341.819],[389.7189,165.2784]],"vertex":[337.99,264.48]}],"canvas_size":[463,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2771","image_path":"images/angle_estimation_2771.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2771_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2771_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2771_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2771_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2771_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2771}
-{"angle_1_degrees":59.746671,"angle_2_degrees":31.506762,"angles":[{"angle_degrees":59.746671,"arc_sweep_degrees":59.746671,"ray_endpoints":[[116.1297,342.5925],[28.8877,305.2174]],"vertex":[129.06,267.9]},{"angle_degrees":31.506762,"arc_sweep_degrees":31.506762,"ray_endpoints":[[378.5945,338.978],[330.0743,388.9218]],"vertex":[348.94,267.9]}],"canvas_size":[478,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2772","image_path":"images/angle_estimation_2772.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2772_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2772_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2772_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2772_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2772_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2772}
-{"angle_1_degrees":129.236088,"angle_2_degrees":44.955565,"angles":[{"angle_degrees":129.236088,"arc_sweep_degrees":129.236088,"ray_endpoints":[[175.5474,218.0514],[144.3696,391.4467]],"vertex":[124.47,277.02]},{"angle_degrees":44.955565,"arc_sweep_degrees":44.955565,"ray_endpoints":[[334.4173,353.1469],[250.9646,358.0902]],"vertex":[336.53,277.02]}],"canvas_size":[461,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2773","image_path":"images/angle_estimation_2773.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2773_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2773_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2773_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2773_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2773_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2773}
-{"angle_1_degrees":80.783191,"angle_2_degrees":32.635967,"angles":[{"angle_degrees":80.783191,"arc_sweep_degrees":80.783191,"ray_endpoints":[[170.6281,364.4849],[18.8548,362.0178]],"vertex":[131.49,283.29]},{"angle_degrees":32.635967,"arc_sweep_degrees":32.635967,"ray_endpoints":[[262.2788,302.2367],[256.5628,245.013]],"vertex":[355.51,283.29]}],"canvas_size":[487,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2774","image_path":"images/angle_estimation_2774.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2774_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2774_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2774_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2774_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2774_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2774}
-{"angle_1_degrees":40.565795,"angle_2_degrees":60.02889,"angles":[{"angle_degrees":40.565795,"arc_sweep_degrees":40.565795,"ray_endpoints":[[80.4741,171.8091],[159.0412,159.6009]],"vertex":[132.57,272.46]},{"angle_degrees":60.02889,"arc_sweep_degrees":60.02889,"ray_endpoints":[[277.6559,233.3509],[348.3476,133.0261]],"vertex":[358.43,272.46]}],"canvas_size":[491,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2775","image_path":"images/angle_estimation_2775.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2775_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2775_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2775_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2775_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2775_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2775}
-{"canvas_size":[472,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2776","image_path":"images/angle_estimation_2776.png","interior_angles_degrees":[44.946527,53.850542,81.202931],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2776_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2776_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2776_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2776_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2776_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2776,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,350.9791],[417.0,350.9791],[264.3486,142.0209]]}
-{"canvas_size":[487,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2777","image_path":"images/angle_estimation_2777.png","interior_angles_degrees":[60.981785,40.344204,78.67401],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2777_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2777_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2777_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2777_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2777_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2777,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,358.3311],[432.0,358.3311],[175.7426,140.6689]]}
-{"canvas_size":[469,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2778","image_path":"images/angle_estimation_2778.png","interior_angles_degrees":[45.600496,75.123736,59.275768],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2778_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2778_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2778_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2778_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2778_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2778,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,391.6893],[414.0,391.6893],[337.3963,103.3107]]}
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-{"angle_degrees":15.850522,"arc_sweep_degrees":15.850522,"canvas_size":[457,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2784","image_path":"images/angle_estimation_2784.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2784_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_2784_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2784_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"164","question_id":"angle_estimation_2784_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2784_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[88.7151,159.7049],[129.8048,138.9051]],"scene_type":"single","seed":2784,"vertex":[228.5,238.5]}
-{"angle_degrees":179.999989,"arc_sweep_degrees":179.999989,"canvas_size":[471,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2785","image_path":"images/angle_estimation_2785.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2785_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_2785_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2785_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_2785_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2785_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[85.1339,212.6459],[382.8186,282.6376]],"scene_type":"single","seed":2785,"vertex":[235.5,248.0]}
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-{"angle_degrees":348.786294,"arc_sweep_degrees":348.786294,"canvas_size":[473,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2788","image_path":"images/angle_estimation_2788.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2788_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_2788_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2788_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"169","question_id":"angle_estimation_2788_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2788_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[110.3453,257.1006],[87.1334,289.9312]],"scene_type":"single","seed":2788,"vertex":[236.5,244.5]}
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-{"angle_1_degrees":139.844181,"angle_2_degrees":46.074262,"angles":[{"angle_degrees":139.844181,"arc_sweep_degrees":139.844181,"ray_endpoints":[[133.7835,354.8911],[21.3851,169.6992]],"vertex":[123.66,266.19]},{"angle_degrees":46.074262,"arc_sweep_degrees":46.074262,"ray_endpoints":[[253.1143,186.5613],[335.5536,128.6206]],"vertex":[334.34,266.19]}],"canvas_size":[458,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2792","image_path":"images/angle_estimation_2792.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2792_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2792_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2792_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2792_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2792_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2792}
-{"angle_1_degrees":95.033037,"angle_2_degrees":36.701165,"angles":[{"angle_degrees":95.033037,"arc_sweep_degrees":95.033037,"ray_endpoints":[[18.9309,295.5245],[110.8706,141.6135]],"vertex":[122.31,277.59]},{"angle_degrees":36.701165,"arc_sweep_degrees":36.701165,"ray_endpoints":[[431.8697,331.0744],[388.1763,398.4514]],"vertex":[330.69,277.59]}],"canvas_size":[453,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2793","image_path":"images/angle_estimation_2793.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2793_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2793_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2793_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2793_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2793_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2793}
-{"angle_1_degrees":69.20803,"angle_2_degrees":17.484848,"angles":[{"angle_degrees":69.20803,"arc_sweep_degrees":69.20803,"ray_endpoints":[[41.3506,294.2963],[62.1202,183.4966]],"vertex":[122.04,277.59]},{"angle_degrees":17.484848,"arc_sweep_degrees":17.484848,"ray_endpoints":[[436.3154,295.363],[439.3362,333.2523]],"vertex":[329.96,277.59]}],"canvas_size":[452,487],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2794","image_path":"images/angle_estimation_2794.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2794_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2794_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2794_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2794_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2794_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2794}
-{"angle_1_degrees":134.778069,"angle_2_degrees":54.260134,"angles":[{"angle_degrees":134.778069,"arc_sweep_degrees":134.778069,"ray_endpoints":[[233.0406,310.312],[22.7579,317.8054]],"vertex":[132.84,270.18]},{"angle_degrees":54.260134,"arc_sweep_degrees":54.260134,"ray_endpoints":[[344.1499,190.5489],[447.7189,177.1365]],"vertex":[359.16,270.18]}],"canvas_size":[492,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2795","image_path":"images/angle_estimation_2795.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2795_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2795_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2795_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2795_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2795_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2795}
-{"canvas_size":[465,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2796","image_path":"images/angle_estimation_2796.png","interior_angles_degrees":[90.933512,53.35146,35.715028],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2796_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2796_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2796_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2796_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2796_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2796,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[95.2013,451.0],[376.0883,451.0],[88.9117,65.0]]}
-{"canvas_size":[489,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2797","image_path":"images/angle_estimation_2797.png","interior_angles_degrees":[90.37794,35.371375,54.250686],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2797_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2797_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2797_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2797_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2797_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2797,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.7748,397.5282],[434.0,397.5282],[55.0,128.4718]]}
-{"canvas_size":[495,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2798","image_path":"images/angle_estimation_2798.png","interior_angles_degrees":[90.56186,32.645587,56.792553],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2798_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2798_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2798_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2798_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2798_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2798,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[57.4188,369.3248],[440.0,369.3248],[55.0,122.6752]]}
-{"canvas_size":[500,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2799","image_path":"images/angle_estimation_2799.png","interior_angles_degrees":[89.852562,38.184316,51.963122],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2799_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2799_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2799_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2799_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2799_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2799,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,415.0537],[445.0,415.0537],[55.7877,108.9463]]}
-{"canvas_size":[494,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2800","image_path":"images/angle_estimation_2800.png","interior_angles_degrees":[89.577499,37.457494,52.965006],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2800_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2800_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2800_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2800_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2800_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2800,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,403.2742],[439.0,403.2742],[57.1573,110.7258]]}
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-{"angle_degrees":223.412321,"arc_sweep_degrees":223.412321,"canvas_size":[470,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2802","image_path":"images/angle_estimation_2802.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2802_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2802_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2802_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"43","question_id":"angle_estimation_2802_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2802_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[291.4719,132.6884],[80.8329,302.4082]],"scene_type":"single","seed":2802,"vertex":[235.0,246.0]}
-{"angle_degrees":36.406689,"arc_sweep_degrees":36.406689,"canvas_size":[496,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2803","image_path":"images/angle_estimation_2803.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2803_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2803_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2803_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"144","question_id":"angle_estimation_2803_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2803_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[159.0503,108.0332],[254.9694,138.4454]],"scene_type":"single","seed":2803,"vertex":[248.0,246.5]}
-{"angle_degrees":14.546528,"arc_sweep_degrees":14.546528,"canvas_size":[468,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2804","image_path":"images/angle_estimation_2804.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2804_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_2804_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2804_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"165","question_id":"angle_estimation_2804_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2804_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[106.7738,291.0235],[129.2386,253.71]],"scene_type":"single","seed":2804,"vertex":[234.0,241.0]}
-{"angle_degrees":89.999967,"arc_sweep_degrees":89.999967,"canvas_size":[458,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2805","image_path":"images/angle_estimation_2805.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"right","question_id":"angle_estimation_2805_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_2805_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"approximately equal to","question_id":"angle_estimation_2805_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"90","question_id":"angle_estimation_2805_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2805_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[293.1235,377.8678],[120.6099,302.2256]],"scene_type":"single","seed":2805,"vertex":[229.0,248.5]}
-{"angle_degrees":24.88642,"arc_sweep_degrees":24.88642,"canvas_size":[488,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2806","image_path":"images/angle_estimation_2806.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2806_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2806_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2806_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"155","question_id":"angle_estimation_2806_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2806_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[232.3105,116.9854],[292.2777,125.7951]],"scene_type":"single","seed":2806,"vertex":[244.0,257.5]}
-{"angle_degrees":247.729301,"arc_sweep_degrees":247.729301,"canvas_size":[485,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2807","image_path":"images/angle_estimation_2807.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2807_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_2807_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2807_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"68","question_id":"angle_estimation_2807_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2807_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[213.596,389.2594],[348.2095,216.0175]],"scene_type":"single","seed":2807,"vertex":[242.5,237.5]}
-{"angle_degrees":38.376172,"arc_sweep_degrees":38.376172,"canvas_size":[459,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2808","image_path":"images/angle_estimation_2808.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2808_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_2808_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2808_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"142","question_id":"angle_estimation_2808_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2808_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[157.5731,95.2453],[250.4291,133.8792]],"scene_type":"single","seed":2808,"vertex":[229.5,237.0]}
-{"angle_1_degrees":125.566271,"angle_2_degrees":110.178421,"angles":[{"angle_degrees":125.566271,"arc_sweep_degrees":125.566271,"ray_endpoints":[[51.0872,340.4547],[131.7638,145.6876]],"vertex":[132.84,281.01]},{"angle_degrees":110.178421,"arc_sweep_degrees":110.178421,"ray_endpoints":[[361.7902,194.7107],[461.7366,322.2957]],"vertex":[359.16,281.01]}],"canvas_size":[492,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2809","image_path":"images/angle_estimation_2809.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2809_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2809_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2809_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2809_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2809_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2809}
-{"angle_1_degrees":45.005753,"angle_2_degrees":54.283078,"angles":[{"angle_degrees":45.005753,"arc_sweep_degrees":45.005753,"ray_endpoints":[[38.9852,230.0037],[67.0031,133.3888]],"vertex":[127.98,261.63]},{"angle_degrees":54.283078,"arc_sweep_degrees":54.283078,"ray_endpoints":[[284.6644,168.4386],[390.2109,146.0439]],"vertex":[346.02,261.63]}],"canvas_size":[474,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2810","image_path":"images/angle_estimation_2810.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2810_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2810_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2810_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2810_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2810_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2810}
-{"angle_1_degrees":45.635027,"angle_2_degrees":127.002348,"angles":[{"angle_degrees":45.635027,"arc_sweep_degrees":45.635027,"ray_endpoints":[[185.0658,312.7028],[146.7845,409.7953]],"vertex":[121.77,269.61]},{"angle_degrees":127.002348,"arc_sweep_degrees":127.002348,"ray_endpoints":[[379.9839,186.9178],[373.6906,382.7267]],"vertex":[329.23,269.61]}],"canvas_size":[451,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2811","image_path":"images/angle_estimation_2811.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2811_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2811_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2811_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2811_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2811_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2811}
-{"angle_1_degrees":122.686397,"angle_2_degrees":79.150861,"angles":[{"angle_degrees":122.686397,"arc_sweep_degrees":122.686397,"ray_endpoints":[[61.4431,316.9604],[119.3784,129.7365]],"vertex":[132.57,260.49]},{"angle_degrees":79.150861,"arc_sweep_degrees":79.150861,"ray_endpoints":[[353.6268,172.0698],[466.2626,233.6872]],"vertex":[358.43,260.49]}],"canvas_size":[491,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2812","image_path":"images/angle_estimation_2812.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2812_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2812_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2812_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2812_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2812_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2812}
-{"angle_1_degrees":50.844758,"angle_2_degrees":29.507273,"angles":[{"angle_degrees":50.844758,"arc_sweep_degrees":50.844758,"ray_endpoints":[[151.1696,350.9198],[51.4349,389.9652]],"vertex":[131.22,278.16]},{"angle_degrees":29.507273,"arc_sweep_degrees":29.507273,"ray_endpoints":[[322.9636,374.7735],[260.1239,364.1853]],"vertex":[354.78,278.16]}],"canvas_size":[486,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2813","image_path":"images/angle_estimation_2813.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2813_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2813_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2813_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2813_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2813_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2813}
-{"angle_1_degrees":145.09009,"angle_2_degrees":41.546856,"angles":[{"angle_degrees":145.09009,"arc_sweep_degrees":145.09009,"ray_endpoints":[[173.7387,175.9118],[151.0269,375.6725]],"vertex":[130.95,272.46]},{"angle_degrees":41.546856,"arc_sweep_degrees":41.546856,"ray_endpoints":[[372.0228,192.2527],[464.9174,192.4323]],"vertex":[354.05,272.46]}],"canvas_size":[485,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2814","image_path":"images/angle_estimation_2814.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2814_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2814_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2814_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2814_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2814_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2814}
-{"angle_1_degrees":126.382954,"angle_2_degrees":28.003016,"angles":[{"angle_degrees":126.382954,"arc_sweep_degrees":126.382954,"ray_endpoints":[[184.4603,193.7715],[179.6594,380.4055]],"vertex":[135.0,283.29]},{"angle_degrees":28.003016,"arc_sweep_degrees":28.003016,"ray_endpoints":[[460.5695,250.4718],[482.1029,301.9436]],"vertex":[365.0,283.29]}],"canvas_size":[500,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2815","image_path":"images/angle_estimation_2815.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2815_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2815_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2815_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2815_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2815_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2815}
-{"canvas_size":[478,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2816","image_path":"images/angle_estimation_2816.png","interior_angles_degrees":[104.638857,34.037701,41.323442],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2816_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2816_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2816_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2816_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2816_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2816,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[119.9281,370.7858],[423.0,370.7858],[55.0,122.2142]]}
-{"canvas_size":[482,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2817","image_path":"images/angle_estimation_2817.png","interior_angles_degrees":[127.934857,19.251096,32.814046],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2817_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2817_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2817_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2817_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2817_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2817,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[156.264,316.4581],[427.0,316.4581],[55.0,186.5419]]}
-{"canvas_size":[454,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2818","image_path":"images/angle_estimation_2818.png","interior_angles_degrees":[99.218348,23.71809,57.063562],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2818_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2818_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2818_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2818_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2818_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2818,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[79.5282,319.0675],[399.0,319.0675],[55.0,167.9325]]}
-{"canvas_size":[465,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2819","image_path":"images/angle_estimation_2819.png","interior_angles_degrees":[135.437369,18.166077,26.396555],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2819_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2819_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2819_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2819_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2819_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2819,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[173.2773,306.2426],[410.0,306.2426],[55.0,189.7574]]}
-{"canvas_size":[488,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2820","image_path":"images/angle_estimation_2820.png","interior_angles_degrees":[98.084846,32.709736,49.205418],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2820_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2820_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2820_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2820_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2820_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2820,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[89.4847,366.3812],[433.0,366.3812],[55.0,123.6188]]}
-{"angle_degrees":326.276454,"arc_sweep_degrees":326.276454,"canvas_size":[476,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2821","image_path":"images/angle_estimation_2821.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2821_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_2821_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2821_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"146","question_id":"angle_estimation_2821_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2821_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[109.6692,238.6415],[124.5614,313.7443]],"scene_type":"single","seed":2821,"vertex":[238.0,241.0]}
-{"angle_degrees":190.108831,"arc_sweep_degrees":190.108831,"canvas_size":[475,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2822","image_path":"images/angle_estimation_2822.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2822_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_2822_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2822_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"10","question_id":"angle_estimation_2822_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2822_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[132.051,156.6221],[329.302,372.7919]],"scene_type":"single","seed":2822,"vertex":[237.5,253.0]}
-{"angle_degrees":38.258987,"arc_sweep_degrees":38.258987,"canvas_size":[468,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2823","image_path":"images/angle_estimation_2823.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2823_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_2823_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2823_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"142","question_id":"angle_estimation_2823_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2823_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[73.4067,293.993],[126.3081,205.432]],"scene_type":"single","seed":2823,"vertex":[234.0,254.0]}
-{"angle_degrees":164.042767,"arc_sweep_degrees":164.042767,"canvas_size":[462,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2824","image_path":"images/angle_estimation_2824.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2824_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_2824_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2824_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"16","question_id":"angle_estimation_2824_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2824_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[165.4274,95.8795],[304.8728,349.7835]],"scene_type":"single","seed":2824,"vertex":[231.0,256.0]}
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-{"angle_degrees":139.483163,"arc_sweep_degrees":139.483163,"canvas_size":[457,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2827","image_path":"images/angle_estimation_2827.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2827_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2827_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2827_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"41","question_id":"angle_estimation_2827_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2827_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[351.3617,317.8012],[120.8048,285.1009]],"scene_type":"single","seed":2827,"vertex":[228.5,257.5]}
-{"angle_degrees":10.377946,"arc_sweep_degrees":10.377946,"canvas_size":[477,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2828","image_path":"images/angle_estimation_2828.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2828_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_2828_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2828_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"170","question_id":"angle_estimation_2828_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2828_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[242.8481,91.1457],[268.6023,109.4792]],"scene_type":"single","seed":2828,"vertex":[238.5,252.0]}
-{"angle_1_degrees":51.629865,"angle_2_degrees":39.461653,"angles":[{"angle_degrees":51.629865,"arc_sweep_degrees":51.629865,"ray_endpoints":[[32.4171,291.1249],[35.7419,201.3294]],"vertex":[125.82,258.78]},{"angle_degrees":39.461653,"arc_sweep_degrees":39.461653,"ray_endpoints":[[270.3079,195.0189],[323.2147,140.4145]],"vertex":[340.18,258.78]}],"canvas_size":[466,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2829","image_path":"images/angle_estimation_2829.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2829_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2829_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2829_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2829_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2829_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2829}
-{"angle_1_degrees":143.917291,"angle_2_degrees":47.445822,"angles":[{"angle_degrees":143.917291,"arc_sweep_degrees":143.917291,"ray_endpoints":[[190.2801,192.8393],[140.06,413.0526]],"vertex":[132.3,283.29]},{"angle_degrees":47.445822,"arc_sweep_degrees":47.445822,"ray_endpoints":[[439.7794,335.3418],[381.3496,415.0882]],"vertex":[357.7,283.29]}],"canvas_size":[490,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2830","image_path":"images/angle_estimation_2830.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2830_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2830_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2830_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2830_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2830_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2830}
-{"angle_1_degrees":31.05026,"angle_2_degrees":11.456923,"angles":[{"angle_degrees":31.05026,"arc_sweep_degrees":31.05026,"ray_endpoints":[[51.3305,258.9876],[34.8473,202.9763]],"vertex":[129.87,257.07]},{"angle_degrees":11.456923,"arc_sweep_degrees":11.456923,"ray_endpoints":[[428.6854,179.4336],[456.3509,187.2329]],"vertex":[351.13,257.07]}],"canvas_size":[481,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2831","image_path":"images/angle_estimation_2831.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2831_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2831_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2831_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2831_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2831_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2831}
-{"angle_1_degrees":37.607833,"angle_2_degrees":50.755864,"angles":[{"angle_degrees":37.607833,"arc_sweep_degrees":37.607833,"ray_endpoints":[[71.2415,187.3203],[133.325,152.4863]],"vertex":[122.31,268.47]},{"angle_degrees":50.755864,"arc_sweep_degrees":50.755864,"ray_endpoints":[[315.9551,171.6414],[425.5186,163.5331]],"vertex":[330.69,268.47]}],"canvas_size":[453,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2832","image_path":"images/angle_estimation_2832.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2832_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2832_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2832_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2832_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2832_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2832}
-{"angle_1_degrees":75.591516,"angle_2_degrees":95.816917,"angles":[{"angle_degrees":75.591516,"arc_sweep_degrees":75.591516,"ray_endpoints":[[73.3785,326.9449],[34.7753,203.9939]],"vertex":[134.46,276.45]},{"angle_degrees":95.816917,"arc_sweep_degrees":95.816917,"ray_endpoints":[[449.2535,349.0321],[286.1737,350.9668]],"vertex":[363.54,276.45]}],"canvas_size":[498,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2833","image_path":"images/angle_estimation_2833.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2833_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2833_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2833_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2833_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2833_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2833}
-{"angle_1_degrees":142.369049,"angle_2_degrees":63.987193,"angles":[{"angle_degrees":142.369049,"arc_sweep_degrees":142.369049,"ray_endpoints":[[218.9137,219.0302],[90.2623,420.2234]],"vertex":[129.6,284.43]},{"angle_degrees":63.987193,"arc_sweep_degrees":63.987193,"ray_endpoints":[[450.8353,266.1847],[426.8683,388.4947]],"vertex":[350.4,284.43]}],"canvas_size":[480,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2834","image_path":"images/angle_estimation_2834.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2834_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2834_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2834_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2834_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2834_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2834}
-{"angle_1_degrees":72.324459,"angle_2_degrees":27.161219,"angles":[{"angle_degrees":72.324459,"arc_sweep_degrees":72.324459,"ray_endpoints":[[66.4389,171.0215],[208.6903,168.9521]],"vertex":[125.01,266.19]},{"angle_degrees":27.161219,"arc_sweep_degrees":27.161219,"ray_endpoints":[[296.9565,347.8832],[249.0843,331.1852]],"vertex":[337.99,266.19]}],"canvas_size":[463,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2835","image_path":"images/angle_estimation_2835.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2835_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2835_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2835_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2835_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2835_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2835}
-{"canvas_size":[487,485],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2836","image_path":"images/angle_estimation_2836.png","interior_angles_degrees":[46.357002,52.523568,81.11943],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2836_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2836_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2836_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2836_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2836_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2836,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,367.068],[432.0,367.068],[263.9942,147.932]]}
-{"canvas_size":[469,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2837","image_path":"images/angle_estimation_2837.png","interior_angles_degrees":[70.186984,49.979853,59.833163],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2837_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2837_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2837_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2837_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2837_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2837,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,393.0861],[414.0,393.0861],[162.7854,93.9139]]}
-{"canvas_size":[495,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2838","image_path":"images/angle_estimation_2838.png","interior_angles_degrees":[67.070584,53.300365,59.629051],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2838_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2838_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2838_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2838_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2838_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2838,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,418.7568],[440.0,418.7568],[194.3914,89.2432]]}
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-{"canvas_size":[498,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2840","image_path":"images/angle_estimation_2840.png","interior_angles_degrees":[47.976582,49.712636,82.310782],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2840_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2840_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2840_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2840_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2840_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2840,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,361.9315],[443.0,361.9315],[254.9306,140.0685]]}
-{"angle_degrees":227.360073,"arc_sweep_degrees":227.360073,"canvas_size":[472,495],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2841","image_path":"images/angle_estimation_2841.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2841_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2841_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2841_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"47","question_id":"angle_estimation_2841_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2841_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[104.2876,215.0859],[293.9436,389.6095]],"scene_type":"single","seed":2841,"vertex":[236.0,259.5]}
-{"angle_degrees":132.566064,"arc_sweep_degrees":132.566064,"canvas_size":[450,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2842","image_path":"images/angle_estimation_2842.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2842_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2842_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2842_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"47","question_id":"angle_estimation_2842_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2842_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[210.6583,81.1942],[331.8963,329.388]],"scene_type":"single","seed":2842,"vertex":[225.0,247.0]}
-{"angle_degrees":310.60481,"arc_sweep_degrees":310.60481,"canvas_size":[486,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2843","image_path":"images/angle_estimation_2843.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2843_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_2843_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2843_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"131","question_id":"angle_estimation_2843_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2843_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[167.6229,376.0249],[295.005,375.2237]],"scene_type":"single","seed":2843,"vertex":[243.0,238.0]}
-{"angle_degrees":77.936407,"arc_sweep_degrees":77.936407,"canvas_size":[478,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2844","image_path":"images/angle_estimation_2844.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2844_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_2844_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2844_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"102","question_id":"angle_estimation_2844_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2844_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[380.9212,248.5114],[260.7585,383.338]],"scene_type":"single","seed":2844,"vertex":[239.0,240.0]}
-{"angle_degrees":59.99997,"arc_sweep_degrees":59.99997,"canvas_size":[462,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2845","image_path":"images/angle_estimation_2845.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2845_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_2845_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2845_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_2845_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2845_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[322.751,360.3707],[199.289,362.9185]],"scene_type":"single","seed":2845,"vertex":[231.0,261.0]}
-{"angle_degrees":281.691234,"arc_sweep_degrees":281.691234,"canvas_size":[473,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2846","image_path":"images/angle_estimation_2846.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2846_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_2846_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2846_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"102","question_id":"angle_estimation_2846_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2846_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[393.7,222.8275],[238.9008,135.2583]],"scene_type":"single","seed":2846,"vertex":[236.5,252.0]}
-{"angle_degrees":11.088295,"arc_sweep_degrees":11.088295,"canvas_size":[494,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2847","image_path":"images/angle_estimation_2847.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2847_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_2847_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2847_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"169","question_id":"angle_estimation_2847_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2847_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[181.1287,386.1757],[172.712,353.4425]],"scene_type":"single","seed":2847,"vertex":[247.0,261.5]}
-{"angle_degrees":57.959811,"arc_sweep_degrees":57.959811,"canvas_size":[484,491],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2848","image_path":"images/angle_estimation_2848.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2848_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_2848_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2848_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"122","question_id":"angle_estimation_2848_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2848_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[289.9594,378.0961],[168.2941,357.9384]],"scene_type":"single","seed":2848,"vertex":[242.0,257.5]}
-{"angle_1_degrees":22.777986,"angle_2_degrees":150.176772,"angles":[{"angle_degrees":22.777986,"arc_sweep_degrees":22.777986,"ray_endpoints":[[57.2568,202.2254],[81.3043,158.4352]],"vertex":[129.06,273.03]},{"angle_degrees":150.176772,"arc_sweep_degrees":150.176772,"ray_endpoints":[[314.0427,196.4208],[458.1919,351.4961]],"vertex":[348.94,273.03]}],"canvas_size":[478,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2849","image_path":"images/angle_estimation_2849.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2849_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2849_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_2849_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2849_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2849_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2849}
-{"angle_1_degrees":156.952373,"angle_2_degrees":125.345101,"angles":[{"angle_degrees":156.952373,"arc_sweep_degrees":156.952373,"ray_endpoints":[[127.1158,350.9811],[59.1645,152.908]],"vertex":[121.77,275.31]},{"angle_degrees":125.345101,"arc_sweep_degrees":125.345101,"ray_endpoints":[[400.1955,199.6704],[356.1357,407.7806]],"vertex":[329.23,275.31]}],"canvas_size":[451,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2850","image_path":"images/angle_estimation_2850.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2850_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2850_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2850_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2850_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2850_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2850}
-{"angle_1_degrees":52.51461,"angle_2_degrees":29.413735,"angles":[{"angle_degrees":52.51461,"arc_sweep_degrees":52.51461,"ray_endpoints":[[43.9207,255.4468],[50.7713,144.2192]],"vertex":[126.9,262.2]},{"angle_degrees":29.413735,"arc_sweep_degrees":29.413735,"ray_endpoints":[[358.2111,350.9798],[306.675,363.6294]],"vertex":[343.1,262.2]}],"canvas_size":[470,460],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2851","image_path":"images/angle_estimation_2851.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2851_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2851_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2851_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2851_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2851_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2851}
-{"angle_1_degrees":14.156102,"angle_2_degrees":168.056373,"angles":[{"angle_degrees":14.156102,"arc_sweep_degrees":14.156102,"ray_endpoints":[[95.9718,212.2035],[111.441,176.7627]],"vertex":[122.31,285.0]},{"angle_degrees":168.056373,"arc_sweep_degrees":168.056373,"ray_endpoints":[[281.2382,344.0021],[398.522,157.5552]],"vertex":[330.69,285.0]}],"canvas_size":[453,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2852","image_path":"images/angle_estimation_2852.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2852_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2852_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"150","question_id":"angle_estimation_2852_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2852_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2852_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2852}
-{"angle_1_degrees":71.15793,"angle_2_degrees":154.199038,"angles":[{"angle_degrees":71.15793,"arc_sweep_degrees":71.15793,"ray_endpoints":[[188.1169,333.6548],[56.7158,369.5134]],"vertex":[124.2,257.64]},{"angle_degrees":154.199038,"arc_sweep_degrees":154.199038,"ray_endpoints":[[357.1025,168.2759],[360.7597,371.2285]],"vertex":[335.8,257.64]}],"canvas_size":[460,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2853","image_path":"images/angle_estimation_2853.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2853_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2853_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2853_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2853_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2853_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2853}
-{"angle_1_degrees":64.97108,"angle_2_degrees":30.917703,"angles":[{"angle_degrees":64.97108,"arc_sweep_degrees":64.97108,"ray_endpoints":[[209.7562,320.6537],[114.6802,410.9691]],"vertex":[122.85,273.6]},{"angle_degrees":30.917703,"arc_sweep_degrees":30.917703,"ray_endpoints":[[271.2972,176.4463],[329.7209,151.9061]],"vertex":[332.15,273.6]}],"canvas_size":[455,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2854","image_path":"images/angle_estimation_2854.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2854_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2854_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2854_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2854_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2854_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2854}
-{"angle_1_degrees":64.324336,"angle_2_degrees":113.862956,"angles":[{"angle_degrees":64.324336,"arc_sweep_degrees":64.324336,"ray_endpoints":[[35.8211,301.5215],[26.3206,166.1772]],"vertex":[130.14,266.76]},{"angle_degrees":113.862956,"arc_sweep_degrees":113.862956,"ray_endpoints":[[414.1546,196.3739],[405.6152,384.0261]],"vertex":[351.86,266.76]}],"canvas_size":[482,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2855","image_path":"images/angle_estimation_2855.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2855_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2855_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2855_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2855_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2855_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2855}
-{"canvas_size":[489,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2856","image_path":"images/angle_estimation_2856.png","interior_angles_degrees":[90.209952,26.966344,62.823704],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2856_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2856_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2856_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2856_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2856_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2856,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.7066,353.4149],[434.0,353.4149],[55.0,160.5851]]}
-{"canvas_size":[496,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2857","image_path":"images/angle_estimation_2857.png","interior_angles_degrees":[89.057804,31.005345,59.936851],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2857_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2857_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2857_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2857_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2857_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2857,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,357.8554],[441.0,357.8554],[58.7778,128.1446]]}
-{"canvas_size":[488,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2858","image_path":"images/angle_estimation_2858.png","interior_angles_degrees":[90.319036,26.606289,63.074675],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2858_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2858_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2858_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2858_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2858_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2858,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.0543,341.6701],[433.0,341.6701],[55.0,152.3299]]}
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-{"angle_degrees":340.161551,"arc_sweep_degrees":340.161551,"canvas_size":[483,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2863","image_path":"images/angle_estimation_2863.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2863_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_2863_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2863_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"160","question_id":"angle_estimation_2863_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2863_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[293.8606,120.362],[250.1029,119.588]],"scene_type":"single","seed":2863,"vertex":[241.5,238.0]}
-{"angle_degrees":96.395613,"arc_sweep_degrees":96.395613,"canvas_size":[485,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2864","image_path":"images/angle_estimation_2864.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2864_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_2864_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2864_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"84","question_id":"angle_estimation_2864_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2864_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[131.5412,160.9364],[320.9527,189.7417]],"scene_type":"single","seed":2864,"vertex":[242.5,260.0]}
-{"angle_degrees":179.999984,"arc_sweep_degrees":179.999984,"canvas_size":[488,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2865","image_path":"images/angle_estimation_2865.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2865_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_2865_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2865_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_2865_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2865_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[158.198,390.4866],[298.4175,146.1924]],"scene_type":"single","seed":2865,"vertex":[244.0,241.0]}
-{"angle_degrees":133.886774,"arc_sweep_degrees":133.886774,"canvas_size":[480,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2866","image_path":"images/angle_estimation_2866.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2866_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2866_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2866_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"46","question_id":"angle_estimation_2866_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2866_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[83.8947,207.4329],[366.8291,190.0958]],"scene_type":"single","seed":2866,"vertex":[240.0,258.0]}
-{"angle_degrees":78.334042,"arc_sweep_degrees":78.334042,"canvas_size":[452,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2867","image_path":"images/angle_estimation_2867.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2867_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_2867_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2867_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"102","question_id":"angle_estimation_2867_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2867_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[92.3204,235.7052],[223.0462,136.0835]],"scene_type":"single","seed":2867,"vertex":[226.0,260.0]}
-{"angle_degrees":39.795288,"arc_sweep_degrees":39.795288,"canvas_size":[480,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2868","image_path":"images/angle_estimation_2868.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2868_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_2868_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2868_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"140","question_id":"angle_estimation_2868_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2868_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[332.2799,400.0348],[222.0928,408.5422]],"scene_type":"single","seed":2868,"vertex":[240.0,258.0]}
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-{"angle_1_degrees":33.433512,"angle_2_degrees":65.03065,"angles":[{"angle_degrees":33.433512,"arc_sweep_degrees":33.433512,"ray_endpoints":[[53.1559,200.9296],[103.6636,139.9446]],"vertex":[128.52,280.44]},{"angle_degrees":65.03065,"arc_sweep_degrees":65.03065,"ray_endpoints":[[422.9744,246.2741],[443.8225,363.2519]],"vertex":[347.48,280.44]}],"canvas_size":[476,492],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2870","image_path":"images/angle_estimation_2870.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2870_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2870_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2870_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2870_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2870_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2870}
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-{"angle_1_degrees":120.59705,"angle_2_degrees":31.897189,"angles":[{"angle_degrees":120.59705,"arc_sweep_degrees":120.59705,"ray_endpoints":[[204.6623,196.057],[156.398,376.4446]],"vertex":[134.73,256.5]},{"angle_degrees":31.897189,"arc_sweep_degrees":31.897189,"ray_endpoints":[[375.459,150.1912],[442.1073,156.5332]],"vertex":[364.27,256.5]}],"canvas_size":[499,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2872","image_path":"images/angle_estimation_2872.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2872_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2872_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2872_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2872_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2872_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2872}
-{"angle_1_degrees":42.511565,"angle_2_degrees":50.800017,"angles":[{"angle_degrees":42.511565,"arc_sweep_degrees":42.511565,"ray_endpoints":[[129.41,364.6261],[42.9169,358.971]],"vertex":[132.57,267.33]},{"angle_degrees":50.800017,"arc_sweep_degrees":50.800017,"ray_endpoints":[[360.2851,155.3434],[456.4323,190.0686]],"vertex":[358.43,267.33]}],"canvas_size":[491,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2873","image_path":"images/angle_estimation_2873.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2873_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2873_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2873_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2873_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2873_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2873}
-{"angle_1_degrees":52.587196,"angle_2_degrees":120.935604,"angles":[{"angle_degrees":52.587196,"arc_sweep_degrees":52.587196,"ray_endpoints":[[30.5593,218.4483],[103.5046,134.6749]],"vertex":[124.47,269.61]},{"angle_degrees":120.935604,"arc_sweep_degrees":120.935604,"ray_endpoints":[[252.2782,246.4857],[434.5176,175.9168]],"vertex":[336.53,269.61]}],"canvas_size":[461,473],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2874","image_path":"images/angle_estimation_2874.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2874_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2874_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2874_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2874_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2874_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2874}
-{"angle_1_degrees":53.477094,"angle_2_degrees":66.841393,"angles":[{"angle_degrees":53.477094,"arc_sweep_degrees":53.477094,"ray_endpoints":[[28.5322,233.2079],[76.9418,135.8721]],"vertex":[124.47,259.92]},{"angle_degrees":66.841393,"arc_sweep_degrees":66.841393,"ray_endpoints":[[384.1826,329.2416],[273.1757,359.9964]],"vertex":[336.53,259.92]}],"canvas_size":[461,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2875","image_path":"images/angle_estimation_2875.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2875_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2875_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2875_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2875_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2875_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2875}
-{"canvas_size":[484,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2876","image_path":"images/angle_estimation_2876.png","interior_angles_degrees":[100.407313,36.1361,43.456588],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2876_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2876_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2876_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2876_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2876_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2876,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[105.1568,388.5433],[429.0,388.5433],[55.0,115.4567]]}
-{"canvas_size":[474,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2877","image_path":"images/angle_estimation_2877.png","interior_angles_degrees":[134.136797,15.402296,30.460907],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2877_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2877_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2877_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2877_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2877_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2877,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[152.3011,313.639],[419.0,313.639],[55.0,213.361]]}
-{"canvas_size":[459,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2878","image_path":"images/angle_estimation_2878.png","interior_angles_degrees":[108.47708,31.131687,40.391233],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2878_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2878_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2878_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2878_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2878_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2878,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[125.4368,356.3968],[404.0,356.3968],[55.0,145.6032]]}
-{"canvas_size":[451,471],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2879","image_path":"images/angle_estimation_2879.png","interior_angles_degrees":[131.64397,19.432722,28.923308],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2879_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2879_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2879_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2879_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2879_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2879,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[161.9761,310.652],[396.0,310.652],[55.0,190.348]]}
-{"canvas_size":[481,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2880","image_path":"images/angle_estimation_2880.png","interior_angles_degrees":[116.69578,31.764385,31.539835],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2880_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2880_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2880_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2880_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2880_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2880,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[170.5112,379.3553],[426.0,379.3553],[55.0,149.6447]]}
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-{"angle_degrees":59.999991,"arc_sweep_degrees":59.999991,"canvas_size":[453,462],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2885","image_path":"images/angle_estimation_2885.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2885_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_2885_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2885_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_2885_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2885_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[197.1286,86.6135],[311.6173,169.9503]],"scene_type":"single","seed":2885,"vertex":[226.5,243.0]}
-{"angle_degrees":289.684963,"arc_sweep_degrees":289.684963,"canvas_size":[467,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2886","image_path":"images/angle_estimation_2886.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2886_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_2886_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2886_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"110","question_id":"angle_estimation_2886_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2886_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[391.2435,187.9517],[227.4906,87.1983]],"scene_type":"single","seed":2886,"vertex":[233.5,251.0]}
-{"angle_degrees":304.988627,"arc_sweep_degrees":304.988627,"canvas_size":[489,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2887","image_path":"images/angle_estimation_2887.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2887_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_2887_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2887_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"125","question_id":"angle_estimation_2887_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2887_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[379.7171,226.714],[302.2288,137.4514]],"scene_type":"single","seed":2887,"vertex":[244.5,240.0]}
-{"angle_degrees":211.091907,"arc_sweep_degrees":211.091907,"canvas_size":[468,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2888","image_path":"images/angle_estimation_2888.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2888_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_2888_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2888_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"31","question_id":"angle_estimation_2888_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2888_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[273.2138,381.0513],[268.3174,117.0458]],"scene_type":"single","seed":2888,"vertex":[234.0,245.0]}
-{"angle_1_degrees":52.929249,"angle_2_degrees":31.519951,"angles":[{"angle_degrees":52.929249,"arc_sweep_degrees":52.929249,"ray_endpoints":[[52.2149,233.8837],[116.1641,164.9716]],"vertex":[130.95,278.73]},{"angle_degrees":31.519951,"arc_sweep_degrees":31.519951,"ray_endpoints":[[434.3598,322.9885],[425.2649,403.9839]],"vertex":[354.05,278.73]}],"canvas_size":[485,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2889","image_path":"images/angle_estimation_2889.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2889_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2889_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2889_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2889_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2889_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2889}
-{"angle_1_degrees":32.186422,"angle_2_degrees":152.299037,"angles":[{"angle_degrees":32.186422,"arc_sweep_degrees":32.186422,"ray_endpoints":[[101.9481,334.4465],[39.898,332.869]],"vertex":[125.82,261.63]},{"angle_degrees":152.299037,"arc_sweep_degrees":152.299037,"ray_endpoints":[[325.5504,150.9176],[407.3922,356.809]],"vertex":[340.18,261.63]}],"canvas_size":[466,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2890","image_path":"images/angle_estimation_2890.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2890_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2890_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_2890_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2890_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2890_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2890}
-{"angle_1_degrees":72.570371,"angle_2_degrees":59.706112,"angles":[{"angle_degrees":72.570371,"arc_sweep_degrees":72.570371,"ray_endpoints":[[93.775,342.9869],[22.6766,249.1664]],"vertex":[127.71,256.5]},{"angle_degrees":59.706112,"arc_sweep_degrees":59.706112,"ray_endpoints":[[428.9801,241.5181],[431.7848,357.9757]],"vertex":[345.29,256.5]}],"canvas_size":[473,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2891","image_path":"images/angle_estimation_2891.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2891_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2891_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2891_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2891_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2891_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2891}
-{"angle_1_degrees":69.091958,"angle_2_degrees":15.014298,"angles":[{"angle_degrees":69.091958,"arc_sweep_degrees":69.091958,"ray_endpoints":[[38.1577,265.5803],[91.6759,140.2777]],"vertex":[132.84,271.32]},{"angle_degrees":15.014298,"arc_sweep_degrees":15.014298,"ray_endpoints":[[429.8694,336.6666],[422.4408,371.6415]],"vertex":[359.16,271.32]}],"canvas_size":[492,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2892","image_path":"images/angle_estimation_2892.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2892_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2892_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2892_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2892_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2892_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2892}
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-{"angle_1_degrees":168.674591,"angle_2_degrees":116.104022,"angles":[{"angle_degrees":168.674591,"arc_sweep_degrees":168.674591,"ray_endpoints":[[142.66,162.7261],[141.428,384.2834]],"vertex":[131.22,262.77]},{"angle_degrees":116.104022,"arc_sweep_degrees":116.104022,"ray_endpoints":[[390.2369,187.4467],[427.8766,354.0479]],"vertex":[354.78,262.77]}],"canvas_size":[486,461],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2894","image_path":"images/angle_estimation_2894.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2894_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2894_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2894_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2894_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2894_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2894}
-{"angle_1_degrees":26.335922,"angle_2_degrees":60.199995,"angles":[{"angle_degrees":26.335922,"arc_sweep_degrees":26.335922,"ray_endpoints":[[56.5715,223.4606],[77.4128,168.477]],"vertex":[131.22,282.72]},{"angle_degrees":60.199995,"arc_sweep_degrees":60.199995,"ray_endpoints":[[289.4565,206.7976],[402.7839,147.0961]],"vertex":[354.78,282.72]}],"canvas_size":[486,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2895","image_path":"images/angle_estimation_2895.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2895_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2895_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2895_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2895_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2895_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2895}
-{"canvas_size":[476,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2896","image_path":"images/angle_estimation_2896.png","interior_angles_degrees":[46.817319,47.081895,86.100786],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2896_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2896_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2896_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2896_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2896_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2896,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,347.9479],[421.0,347.9479],[238.847,152.0521]]}
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-{"canvas_size":[483,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2899","image_path":"images/angle_estimation_2899.png","interior_angles_degrees":[53.168319,56.192836,70.638845],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2899_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2899_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2899_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2899_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2899_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2899,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,390.4694],[428.0,390.4694],[251.9302,127.5306]]}
-{"canvas_size":[468,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2900","image_path":"images/angle_estimation_2900.png","interior_angles_degrees":[58.179032,42.451764,79.369205],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2900_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2900_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2900_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2900_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2900_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2900,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,368.4531],[413.0,368.4531],[184.6332,159.5469]]}
-{"angle_degrees":319.088461,"arc_sweep_degrees":319.088461,"canvas_size":[456,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2901","image_path":"images/angle_estimation_2901.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2901_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_2901_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2901_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"139","question_id":"angle_estimation_2901_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2901_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[129.7634,166.8988],[119.2092,255.3614]],"scene_type":"single","seed":2901,"vertex":[228.0,260.5]}
-{"angle_degrees":200.7712,"arc_sweep_degrees":200.7712,"canvas_size":[488,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2902","image_path":"images/angle_estimation_2902.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2902_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_2902_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2902_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"21","question_id":"angle_estimation_2902_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2902_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[91.5524,340.4286],[397.2372,232.1144]],"scene_type":"single","seed":2902,"vertex":[244.0,255.0]}
-{"angle_degrees":14.797216,"arc_sweep_degrees":14.797216,"canvas_size":[456,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2903","image_path":"images/angle_estimation_2903.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2903_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_2903_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2903_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"165","question_id":"angle_estimation_2903_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2903_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[195.3398,392.3153],[178.6544,345.8407]],"scene_type":"single","seed":2903,"vertex":[228.0,253.0]}
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-{"angle_degrees":309.716079,"arc_sweep_degrees":309.716079,"canvas_size":[484,465],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2907","image_path":"images/angle_estimation_2907.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2907_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_2907_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2907_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"130","question_id":"angle_estimation_2907_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2907_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[136.2593,376.9188],[265.1077,356.3244]],"scene_type":"single","seed":2907,"vertex":[242.0,244.5]}
-{"angle_degrees":302.709886,"arc_sweep_degrees":302.709886,"canvas_size":[495,474],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2908","image_path":"images/angle_estimation_2908.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2908_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_2908_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2908_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"123","question_id":"angle_estimation_2908_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2908_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[374.48,246.8939],[330.0304,115.6826]],"scene_type":"single","seed":2908,"vertex":[247.5,249.0]}
-{"angle_1_degrees":71.916282,"angle_2_degrees":113.419048,"angles":[{"angle_degrees":71.916282,"arc_sweep_degrees":71.916282,"ray_endpoints":[[214.6693,312.9214],[107.4852,380.1251]],"vertex":[133.92,264.48]},{"angle_degrees":113.419048,"arc_sweep_degrees":113.419048,"ray_endpoints":[[328.5552,181.2653],[474.2698,267.3707]],"vertex":[362.08,264.48]}],"canvas_size":[496,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2909","image_path":"images/angle_estimation_2909.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2909_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2909_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2909_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2909_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2909_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2909}
-{"angle_1_degrees":158.920112,"angle_2_degrees":125.791971,"angles":[{"angle_degrees":158.920112,"arc_sweep_degrees":158.920112,"ray_endpoints":[[153.9374,198.7627],[112.9112,386.323]],"vertex":[121.77,266.76]},{"angle_degrees":125.791971,"arc_sweep_degrees":125.791971,"ray_endpoints":[[279.9379,329.9776],[296.7369,155.3806]],"vertex":[329.23,266.76]}],"canvas_size":[451,468],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2910","image_path":"images/angle_estimation_2910.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2910_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2910_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2910_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2910_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2910_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2910}
-{"angle_1_degrees":33.620201,"angle_2_degrees":63.454149,"angles":[{"angle_degrees":33.620201,"arc_sweep_degrees":33.620201,"ray_endpoints":[[40.4965,245.6517],[50.0185,166.2317]],"vertex":[129.6,281.01]},{"angle_degrees":63.454149,"arc_sweep_degrees":63.454149,"ray_endpoints":[[273.4518,267.5971],[319.0075,176.0935]],"vertex":[350.4,281.01]}],"canvas_size":[480,493],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2911","image_path":"images/angle_estimation_2911.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2911_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2911_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2911_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2911_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2911_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2911}
-{"angle_1_degrees":153.456397,"angle_2_degrees":36.88341,"angles":[{"angle_degrees":153.456397,"arc_sweep_degrees":153.456397,"ray_endpoints":[[228.457,218.929],[64.8143,338.0267]],"vertex":[134.73,257.64]},{"angle_degrees":36.88341,"arc_sweep_degrees":36.88341,"ray_endpoints":[[264.1915,250.0858],[283.9146,187.294]],"vertex":[364.27,257.64]}],"canvas_size":[499,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2912","image_path":"images/angle_estimation_2912.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2912_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2912_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_2912_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2912_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2912_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2912}
-{"angle_1_degrees":48.052298,"angle_2_degrees":154.722677,"angles":[{"angle_degrees":48.052298,"arc_sweep_degrees":48.052298,"ray_endpoints":[[122.7006,177.3566],[219.6276,168.3125]],"vertex":[126.36,259.92]},{"angle_degrees":154.722677,"arc_sweep_degrees":154.722677,"ray_endpoints":[[335.5179,158.8642],[408.5228,381.8608]],"vertex":[341.64,259.92]}],"canvas_size":[468,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2913","image_path":"images/angle_estimation_2913.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2913_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2913_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_2913_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2913_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2913_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2913}
-{"angle_1_degrees":51.132403,"angle_2_degrees":29.953441,"angles":[{"angle_degrees":51.132403,"arc_sweep_degrees":51.132403,"ray_endpoints":[[206.0513,364.7806],[116.6443,388.4195]],"vertex":[134.19,283.86]},{"angle_degrees":29.953441,"arc_sweep_degrees":29.953441,"ray_endpoints":[[434.481,309.7177],[443.4819,379.2954]],"vertex":[362.81,283.86]}],"canvas_size":[497,498],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2914","image_path":"images/angle_estimation_2914.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2914_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2914_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2914_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2914_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2914_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2914}
-{"angle_1_degrees":121.107659,"angle_2_degrees":53.186132,"angles":[{"angle_degrees":121.107659,"arc_sweep_degrees":121.107659,"ray_endpoints":[[192.6065,212.7103],[148.4544,375.2969]],"vertex":[128.25,270.75]},{"angle_degrees":53.186132,"arc_sweep_degrees":53.186132,"ray_endpoints":[[251.5807,266.0893],[276.055,165.9805]],"vertex":[346.75,270.75]}],"canvas_size":[475,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2915","image_path":"images/angle_estimation_2915.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2915_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2915_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2915_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2915_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2915_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2915}
-{"canvas_size":[481,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2916","image_path":"images/angle_estimation_2916.png","interior_angles_degrees":[89.337099,45.417734,45.245168],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2916_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2916_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2916_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2916_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2916_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2916,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[59.0289,429.0],[421.9711,429.0],[63.2405,65.0]]}
-{"canvas_size":[455,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2917","image_path":"images/angle_estimation_2917.png","interior_angles_degrees":[90.539288,56.690136,32.770575],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2917_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2917_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2917_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2917_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2917_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2917,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[106.2233,445.0],[352.3535,445.0],[102.6465,65.0]]}
-{"canvas_size":[453,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2918","image_path":"images/angle_estimation_2918.png","interior_angles_degrees":[89.257092,30.911885,59.831023],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2918_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2918_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2918_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2918_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2918_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2918,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,343.8978],[398.0,343.8978],[57.6426,140.1022]]}
-{"canvas_size":[457,457],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2919","image_path":"images/angle_estimation_2919.png","interior_angles_degrees":[90.956081,41.688131,47.355789],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2919_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2919_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2919_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2919_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2919_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2919,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[60.1573,398.0184],[402.0,398.0184],[55.0,88.9816]]}
-{"canvas_size":[493,478],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2920","image_path":"images/angle_estimation_2920.png","interior_angles_degrees":[89.617767,32.849333,57.5329],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2920_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2920_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2920_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2920_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2920_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2920,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,377.1165],[438.0,377.1165],[56.6427,130.8835]]}
-{"angle_degrees":204.872576,"arc_sweep_degrees":204.872576,"canvas_size":[454,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2921","image_path":"images/angle_estimation_2921.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2921_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_2921_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2921_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"25","question_id":"angle_estimation_2921_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2921_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[59.0382,285.2687],[378.9115,289.906]],"scene_type":"single","seed":2921,"vertex":[227.0,252.5]}
-{"angle_degrees":31.645692,"arc_sweep_degrees":31.645692,"canvas_size":[450,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2922","image_path":"images/angle_estimation_2922.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2922_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2922_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2922_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"148","question_id":"angle_estimation_2922_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2922_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[87.9556,334.9738],[88.8888,251.1951]],"scene_type":"single","seed":2922,"vertex":[225.0,253.0]}
-{"angle_degrees":222.021831,"arc_sweep_degrees":222.021831,"canvas_size":[491,494],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2923","image_path":"images/angle_estimation_2923.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2923_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2923_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2923_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"42","question_id":"angle_estimation_2923_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2923_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[370.1768,247.9796],[131.3005,173.0367]],"scene_type":"single","seed":2923,"vertex":[245.5,259.0]}
-{"angle_degrees":316.60733,"arc_sweep_degrees":316.60733,"canvas_size":[475,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2924","image_path":"images/angle_estimation_2924.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2924_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_2924_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2924_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"137","question_id":"angle_estimation_2924_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2924_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[140.1112,395.1232],[252.9609,362.4422]],"scene_type":"single","seed":2924,"vertex":[237.5,256.5]}
-{"angle_degrees":89.999991,"arc_sweep_degrees":89.999991,"canvas_size":[490,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2925","image_path":"images/angle_estimation_2925.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"right","question_id":"angle_estimation_2925_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_2925_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"approximately equal to","question_id":"angle_estimation_2925_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"90","question_id":"angle_estimation_2925_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2925_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[256.5922,83.238],[368.8859,253.8779]],"scene_type":"single","seed":2925,"vertex":[245.0,245.0]}
-{"angle_degrees":329.640066,"arc_sweep_degrees":329.640066,"canvas_size":[495,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2926","image_path":"images/angle_estimation_2926.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2926_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_2926_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2926_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_2926_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2926_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[91.9719,277.0017],[165.4448,319.4261]],"scene_type":"single","seed":2926,"vertex":[247.5,250.5]}
-{"angle_degrees":305.364152,"arc_sweep_degrees":305.364152,"canvas_size":[487,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2927","image_path":"images/angle_estimation_2927.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2927_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_2927_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2927_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"125","question_id":"angle_estimation_2927_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2927_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[413.3449,253.205],[312.8825,156.7055]],"scene_type":"single","seed":2927,"vertex":[243.5,238.0]}
-{"angle_degrees":219.536167,"arc_sweep_degrees":219.536167,"canvas_size":[472,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2928","image_path":"images/angle_estimation_2928.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2928_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2928_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2928_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"40","question_id":"angle_estimation_2928_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2928_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[383.2191,289.9475],[162.3423,157.642]],"scene_type":"single","seed":2928,"vertex":[236.0,255.0]}
-{"angle_1_degrees":145.619956,"angle_2_degrees":163.047043,"angles":[{"angle_degrees":145.619956,"arc_sweep_degrees":145.619956,"ray_endpoints":[[148.6028,368.6926],[44.1894,177.3775]],"vertex":[126.09,257.07]},{"angle_degrees":163.047043,"arc_sweep_degrees":163.047043,"ray_endpoints":[[366.7571,367.7163],[276.0475,145.1832]],"vertex":[340.91,257.07]}],"canvas_size":[467,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2929","image_path":"images/angle_estimation_2929.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2929_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2929_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2929_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2929_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2929_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2929}
-{"angle_1_degrees":66.911724,"angle_2_degrees":28.211182,"angles":[{"angle_degrees":66.911724,"arc_sweep_degrees":66.911724,"ray_endpoints":[[24.7197,276.3519],[85.3778,164.8032]],"vertex":[135.0,273.6]},{"angle_degrees":28.211182,"arc_sweep_degrees":28.211182,"ray_endpoints":[[290.5113,192.7462],[335.281,158.2072]],"vertex":[365.0,273.6]}],"canvas_size":[500,480],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2930","image_path":"images/angle_estimation_2930.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2930_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2930_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2930_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2930_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2930_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2930}
-{"angle_1_degrees":74.999124,"angle_2_degrees":117.644883,"angles":[{"angle_degrees":74.999124,"arc_sweep_degrees":74.999124,"ray_endpoints":[[201.3184,330.2146],[85.2415,381.6541]],"vertex":[127.17,275.31]},{"angle_degrees":117.644883,"arc_sweep_degrees":117.644883,"ray_endpoints":[[313.9969,369.3277],[248.8288,179.4767]],"vertex":[343.83,275.31]}],"canvas_size":[471,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2931","image_path":"images/angle_estimation_2931.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2931_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2931_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2931_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2931_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2931_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2931}
-{"angle_1_degrees":132.462494,"angle_2_degrees":92.043879,"angles":[{"angle_degrees":132.462494,"arc_sweep_degrees":132.462494,"ray_endpoints":[[39.694,319.1293],[144.8409,119.1772]],"vertex":[127.44,257.07]},{"angle_degrees":92.043879,"arc_sweep_degrees":92.043879,"ray_endpoints":[[364.2303,183.1982],[446.6102,288.1811]],"vertex":[344.56,257.07]}],"canvas_size":[472,451],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2932","image_path":"images/angle_estimation_2932.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2932_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2932_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2932_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2932_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2932_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2932}
-{"angle_1_degrees":64.088719,"angle_2_degrees":26.819674,"angles":[{"angle_degrees":64.088719,"arc_sweep_degrees":64.088719,"ray_endpoints":[[199.6842,344.0271],[76.6809,376.9172]],"vertex":[126.36,259.92]},{"angle_degrees":26.819674,"arc_sweep_degrees":26.819674,"ray_endpoints":[[303.1417,177.8777],[345.2428,137.1843]],"vertex":[341.64,259.92]}],"canvas_size":[468,456],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2933","image_path":"images/angle_estimation_2933.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2933_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2933_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2933_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2933_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2933_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2933}
-{"angle_1_degrees":21.513542,"angle_2_degrees":168.988428,"angles":[{"angle_degrees":21.513542,"arc_sweep_degrees":21.513542,"ray_endpoints":[[113.8685,174.0143],[159.8655,131.659]],"vertex":[127.98,269.04]},{"angle_degrees":168.988428,"arc_sweep_degrees":168.988428,"ray_endpoints":[[268.1946,343.7866],[424.6026,157.4125]],"vertex":[346.02,269.04]}],"canvas_size":[474,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2934","image_path":"images/angle_estimation_2934.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2934_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2934_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"150","question_id":"angle_estimation_2934_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2934_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2934_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2934}
-{"angle_1_degrees":83.255437,"angle_2_degrees":73.342907,"angles":[{"angle_degrees":83.255437,"arc_sweep_degrees":83.255437,"ray_endpoints":[[41.38,334.6906],[49.3416,186.8935]],"vertex":[124.74,285.0]},{"angle_degrees":73.342907,"arc_sweep_degrees":73.342907,"ray_endpoints":[[395.1023,340.2366],[280.4931,396.3015]],"vertex":[337.26,285.0]}],"canvas_size":[462,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2935","image_path":"images/angle_estimation_2935.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2935_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2935_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2935_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2935_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2935_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2935}
-{"canvas_size":[488,463],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2936","image_path":"images/angle_estimation_2936.png","interior_angles_degrees":[125.869861,28.01749,26.112649],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2936_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2936_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2936_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2936_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2936_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2936,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[200.4357,347.0671],[433.0,347.0671],[55.0,145.9329]]}
-{"canvas_size":[494,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2937","image_path":"images/angle_estimation_2937.png","interior_angles_degrees":[109.053697,25.694824,45.251478],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2937_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2937_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2937_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2937_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2937_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2937,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[118.8131,345.382],[439.0,345.382],[55.0,160.618]]}
-{"canvas_size":[455,466],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2938","image_path":"images/angle_estimation_2938.png","interior_angles_degrees":[98.045688,35.803644,46.150668],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2938_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2938_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2938_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2938_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2938_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2938,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[90.1767,372.4276],[400.0,372.4276],[55.0,123.5724]]}
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-{"angle_degrees":54.601772,"arc_sweep_degrees":54.601772,"canvas_size":[451,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2944","image_path":"images/angle_estimation_2944.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2944_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_2944_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2944_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"125","question_id":"angle_estimation_2944_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2944_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[231.0381,403.4038],[137.2649,305.77]],"scene_type":"single","seed":2944,"vertex":[225.5,238.5]}
-{"angle_degrees":44.999999,"arc_sweep_degrees":44.999999,"canvas_size":[497,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2945","image_path":"images/angle_estimation_2945.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2945_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_2945_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2945_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"135","question_id":"angle_estimation_2945_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2945_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[88.2373,184.5402],[205.9737,150.3655]],"scene_type":"single","seed":2945,"vertex":[248.5,246.5]}
-{"angle_degrees":99.434998,"arc_sweep_degrees":99.434998,"canvas_size":[472,488],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2946","image_path":"images/angle_estimation_2946.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2946_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_2946_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2946_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"81","question_id":"angle_estimation_2946_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2946_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[134.3674,373.0356],[133.6539,132.2596]],"scene_type":"single","seed":2946,"vertex":[236.0,256.0]}
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-{"angle_degrees":341.691457,"arc_sweep_degrees":341.691457,"canvas_size":[467,467],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2948","image_path":"images/angle_estimation_2948.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2948_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_2948_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2948_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"162","question_id":"angle_estimation_2948_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2948_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[192.0221,381.6463],[236.7,379.8113]],"scene_type":"single","seed":2948,"vertex":[233.5,245.5]}
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-{"angle_1_degrees":47.160528,"angle_2_degrees":34.583222,"angles":[{"angle_degrees":47.160528,"arc_sweep_degrees":47.160528,"ray_endpoints":[[98.5225,331.9661],[20.4061,304.509]],"vertex":[123.39,258.21]},{"angle_degrees":34.583222,"arc_sweep_degrees":34.583222,"ray_endpoints":[[255.5563,215.4566],[268.7257,129.2319]],"vertex":[333.61,258.21]}],"canvas_size":[457,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2952","image_path":"images/angle_estimation_2952.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2952_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2952_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2952_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2952_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2952_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2952}
-{"angle_1_degrees":143.944028,"angle_2_degrees":24.855453,"angles":[{"angle_degrees":143.944028,"arc_sweep_degrees":143.944028,"ray_endpoints":[[162.7819,190.0413],[161.0957,407.4263]],"vertex":[127.98,277.02]},{"angle_degrees":24.855453,"arc_sweep_degrees":24.855453,"ray_endpoints":[[269.8544,242.3451],[264.9532,182.6607]],"vertex":[346.02,277.02]}],"canvas_size":[474,486],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2953","image_path":"images/angle_estimation_2953.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2953_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2953_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_2953_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2953_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2953_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2953}
-{"angle_1_degrees":26.61847,"angle_2_degrees":126.2915,"angles":[{"angle_degrees":26.61847,"arc_sweep_degrees":26.61847,"ray_endpoints":[[180.0665,331.8477],[147.9716,390.8971]],"vertex":[132.03,259.35]},{"angle_degrees":126.2915,"arc_sweep_degrees":126.2915,"ray_endpoints":[[310.8101,329.1843],[320.177,159.5867]],"vertex":[356.97,259.35]}],"canvas_size":[489,455],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2954","image_path":"images/angle_estimation_2954.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2954_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2954_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2954_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2954_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2954_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2954}
-{"angle_1_degrees":12.399669,"angle_2_degrees":66.824675,"angles":[{"angle_degrees":12.399669,"arc_sweep_degrees":12.399669,"ray_endpoints":[[72.4121,187.0398],[64.7718,130.3146]],"vertex":[132.57,257.64]},{"angle_degrees":66.824675,"arc_sweep_degrees":66.824675,"ray_endpoints":[[431.7412,315.1161],[329.8234,364.9918]],"vertex":[358.43,257.64]}],"canvas_size":[491,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2955","image_path":"images/angle_estimation_2955.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2955_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2955_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2955_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2955_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2955_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2955}
-{"canvas_size":[487,452],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2956","image_path":"images/angle_estimation_2956.png","interior_angles_degrees":[49.12662,55.564333,75.309047],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2956_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2956_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2956_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2956_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2956_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2956,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,362.5311],[432.0,362.5311],[265.3495,119.4689]]}
-{"canvas_size":[451,472],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2957","image_path":"images/angle_estimation_2957.png","interior_angles_degrees":[67.6248,69.594014,42.781186],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2957_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2957_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2957_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2957_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2957_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2957,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[79.7356,437.0],[371.2644,437.0],[232.8746,65.0]]}
-{"canvas_size":[473,496],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2958","image_path":"images/angle_estimation_2958.png","interior_angles_degrees":[49.882286,66.182552,63.935161],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2958_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2958_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2958_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2958_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2958_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2958,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,404.3526],[418.0,404.3526],[293.2093,121.6474]]}
-{"canvas_size":[496,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2959","image_path":"images/angle_estimation_2959.png","interior_angles_degrees":[53.93815,65.973236,60.088614],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2959_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2959_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2959_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2959_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2959_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2959,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,414.3978],[441.0,414.3978],[294.4267,85.6022]]}
-{"canvas_size":[454,481],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2960","image_path":"images/angle_estimation_2960.png","interior_angles_degrees":[56.012466,56.439172,67.548362],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2960_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2960_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2960_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2960_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2960_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2960,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,384.088],[399.0,384.088],[228.386,126.912]]}
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-{"angle_degrees":10.162424,"arc_sweep_degrees":10.162424,"canvas_size":[453,479],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2968","image_path":"images/angle_estimation_2968.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2968_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_2968_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2968_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"170","question_id":"angle_estimation_2968_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2968_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[149.236,365.6384],[135.1707,345.2267]],"scene_type":"single","seed":2968,"vertex":[226.5,251.5]}
-{"angle_1_degrees":49.035583,"angle_2_degrees":138.151168,"angles":[{"angle_degrees":49.035583,"arc_sweep_degrees":49.035583,"ray_endpoints":[[178.616,348.4846],[102.7453,414.2313]],"vertex":[130.14,284.43]},{"angle_degrees":138.151168,"arc_sweep_degrees":138.151168,"ray_endpoints":[[256.298,288.489],[432.8598,205.438]],"vertex":[351.86,284.43]}],"canvas_size":[482,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2969","image_path":"images/angle_estimation_2969.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2969_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2969_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2969_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2969_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2969_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2969}
-{"angle_1_degrees":159.842474,"angle_2_degrees":129.085328,"angles":[{"angle_degrees":159.842474,"arc_sweep_degrees":159.842474,"ray_endpoints":[[210.3339,253.6992],[37.8782,353.4462]],"vertex":[133.11,278.73]},{"angle_degrees":129.085328,"arc_sweep_degrees":129.085328,"ray_endpoints":[[360.2273,371.6267],[274.0046,209.4854]],"vertex":[359.89,278.73]}],"canvas_size":[493,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2970","image_path":"images/angle_estimation_2970.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2970_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2970_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2970_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2970_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2970_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2970}
-{"angle_1_degrees":71.405503,"angle_2_degrees":27.778692,"angles":[{"angle_degrees":71.405503,"arc_sweep_degrees":71.405503,"ray_endpoints":[[193.3124,346.775],[47.6195,371.6012]],"vertex":[131.49,258.21]},{"angle_degrees":27.778692,"arc_sweep_degrees":27.778692,"ray_endpoints":[[270.6123,200.7266],[289.6214,134.914]],"vertex":[355.51,258.21]}],"canvas_size":[487,453],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2971","image_path":"images/angle_estimation_2971.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2971_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2971_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2971_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2971_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2971_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2971}
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-{"angle_1_degrees":117.263972,"angle_2_degrees":144.707546,"angles":[{"angle_degrees":117.263972,"arc_sweep_degrees":117.263972,"ray_endpoints":[[231.8692,281.8042],[58.5797,388.7422]],"vertex":[134.73,271.89]},{"angle_degrees":144.707546,"arc_sweep_degrees":144.707546,"ray_endpoints":[[310.8008,332.5563],[375.9831,162.2768]],"vertex":[364.27,271.89]}],"canvas_size":[499,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2973","image_path":"images/angle_estimation_2973.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2973_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2973_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2973_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2973_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2973_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2973}
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-{"angle_1_degrees":162.606819,"angle_2_degrees":20.416159,"angles":[{"angle_degrees":162.606819,"arc_sweep_degrees":162.606819,"ray_endpoints":[[55.4204,316.3558],[221.5573,172.584]],"vertex":[132.84,270.75]},{"angle_degrees":20.416159,"arc_sweep_degrees":20.416159,"ray_endpoints":[[434.7956,341.4544],[420.781,394.2681]],"vertex":[359.16,270.75]}],"canvas_size":[492,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2975","image_path":"images/angle_estimation_2975.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2975_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2975_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_2975_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2975_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2975_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2975}
-{"canvas_size":[469,469],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2976","image_path":"images/angle_estimation_2976.png","interior_angles_degrees":[89.619016,40.571077,49.809907],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2976_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2976_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2976_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2976_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2976_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2976,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,402.3229],[414.0,402.3229],[57.0324,96.6771]]}
-{"canvas_size":[478,489],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2977","image_path":"images/angle_estimation_2977.png","interior_angles_degrees":[89.539614,44.083479,46.376907],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2977_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2977_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2977_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2977_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2977_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2977,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,436.3294],[423.0,436.3294],[57.8418,82.6706]]}
-{"canvas_size":[486,459],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2978","image_path":"images/angle_estimation_2978.png","interior_angles_degrees":[89.026704,47.266975,43.706322],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2978_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2978_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2978_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2978_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2978_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2978,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[74.121,424.0],[411.879,424.0],[80.22,65.0]]}
-{"canvas_size":[459,499],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2979","image_path":"images/angle_estimation_2979.png","interior_angles_degrees":[90.953764,36.302902,52.743334],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2979_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2979_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2979_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2979_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2979_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2979,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[59.2684,392.6966],[404.0,392.6966],[55.0,136.3034]]}
-{"canvas_size":[483,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2980","image_path":"images/angle_estimation_2980.png","interior_angles_degrees":[90.280507,46.372986,43.346507],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2980_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2980_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2980_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2980_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2980_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2980,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[72.6323,423.0],[412.1204,423.0],[70.8796,65.0]]}
-{"angle_degrees":214.551581,"arc_sweep_degrees":214.551581,"canvas_size":[491,500],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2981","image_path":"images/angle_estimation_2981.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2981_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_2981_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2981_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"35","question_id":"angle_estimation_2981_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2981_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[374.6372,272.0274],[157.3328,190.6249]],"scene_type":"single","seed":2981,"vertex":[245.5,262.0]}
-{"angle_degrees":116.894303,"arc_sweep_degrees":116.894303,"canvas_size":[496,482],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2982","image_path":"images/angle_estimation_2982.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2982_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_2982_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2982_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"63","question_id":"angle_estimation_2982_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2982_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[92.5015,209.9643],[322.1255,171.7204]],"scene_type":"single","seed":2982,"vertex":[248.0,253.0]}
-{"angle_degrees":135.52815,"arc_sweep_degrees":135.52815,"canvas_size":[472,484],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2983","image_path":"images/angle_estimation_2983.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2983_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2983_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2983_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"44","question_id":"angle_estimation_2983_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2983_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[106.7085,369.4394],[246.8275,89.5831]],"scene_type":"single","seed":2983,"vertex":[236.0,254.0]}
-{"angle_degrees":241.522108,"arc_sweep_degrees":241.522108,"canvas_size":[456,483],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.56,"id":"angle_estimation_2984","image_path":"images/angle_estimation_2984.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2984_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_2984_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2984_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"62","question_id":"angle_estimation_2984_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2984_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[146.0344,145.2336],[161.3629,400.4435]],"scene_type":"single","seed":2984,"vertex":[228.0,253.5]}
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-{"angle_degrees":49.079334,"arc_sweep_degrees":49.079334,"canvas_size":[493,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.44,"id":"angle_estimation_2988","image_path":"images/angle_estimation_2988.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2988_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_2988_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2988_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"131","question_id":"angle_estimation_2988_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2988_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[106.8405,286.3469],[150.9669,183.059]],"scene_type":"single","seed":2988,"vertex":[246.5,239.0]}
-{"angle_1_degrees":168.090784,"angle_2_degrees":132.185991,"angles":[{"angle_degrees":168.090784,"arc_sweep_degrees":168.090784,"ray_endpoints":[[143.0453,359.825],[89.1164,150.9846]],"vertex":[130.68,267.9]},{"angle_degrees":132.185991,"arc_sweep_degrees":132.185991,"ray_endpoints":[[466.6064,255.4123],[270.6848,382.0745]],"vertex":[353.32,267.9]}],"canvas_size":[484,470],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2989","image_path":"images/angle_estimation_2989.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2989_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2989_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2989_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2989_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2989_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2989}
-{"angle_1_degrees":13.423954,"angle_2_degrees":69.075748,"angles":[{"angle_degrees":13.423954,"arc_sweep_degrees":13.423954,"ray_endpoints":[[124.7383,397.6841],[95.1722,408.5411]],"vertex":[122.58,283.29]},{"angle_degrees":69.075748,"arc_sweep_degrees":69.075748,"ray_endpoints":[[388.3226,372.8234],[262.594,375.8363]],"vertex":[331.42,283.29]}],"canvas_size":[454,497],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2990","image_path":"images/angle_estimation_2990.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2990_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2990_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2990_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2990_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2990_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2990}
-{"angle_1_degrees":84.211601,"angle_2_degrees":96.552201,"angles":[{"angle_degrees":84.211601,"arc_sweep_degrees":84.211601,"ray_endpoints":[[213.0428,205.7993],[210.9229,352.3835]],"vertex":[131.22,271.89]},{"angle_degrees":96.552201,"arc_sweep_degrees":96.552201,"ray_endpoints":[[417.1188,222.9896],[415.0962,370.0881]],"vertex":[354.78,271.89]}],"canvas_size":[486,477],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2991","image_path":"images/angle_estimation_2991.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2991_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2991_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2991_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2991_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2991_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2991}
-{"angle_1_degrees":91.016743,"angle_2_degrees":23.772067,"angles":[{"angle_degrees":91.016743,"arc_sweep_degrees":91.016743,"ray_endpoints":[[24.0488,267.0454],[123.0576,113.5289]],"vertex":[134.19,256.5]},{"angle_degrees":23.772067,"arc_sweep_degrees":23.772067,"ray_endpoints":[[282.3344,213.4097],[294.94,169.8217]],"vertex":[362.81,256.5]}],"canvas_size":[497,450],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2992","image_path":"images/angle_estimation_2992.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2992_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2992_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2992_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2992_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2992_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2992}
-{"angle_1_degrees":13.70961,"angle_2_degrees":66.544244,"angles":[{"angle_degrees":13.70961,"arc_sweep_degrees":13.70961,"ray_endpoints":[[77.1034,180.8512],[88.454,132.7158]],"vertex":[129.87,270.75]},{"angle_degrees":66.544244,"arc_sweep_degrees":66.544244,"ray_endpoints":[[430.9355,239.7774],[437.8158,358.4492]],"vertex":[351.13,270.75]}],"canvas_size":[481,475],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2993","image_path":"images/angle_estimation_2993.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2993_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2993_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2993_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2993_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2993_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2993}
-{"angle_1_degrees":102.964151,"angle_2_degrees":85.895913,"angles":[{"angle_degrees":102.964151,"arc_sweep_degrees":102.964151,"ray_endpoints":[[53.7158,272.9266],[157.6948,144.3335]],"vertex":[131.22,271.32]},{"angle_degrees":85.895913,"arc_sweep_degrees":85.895913,"ray_endpoints":[[458.2383,283.859],[349.2489,384.1542]],"vertex":[354.78,271.32]}],"canvas_size":[486,476],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2994","image_path":"images/angle_estimation_2994.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2994_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2994_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2994_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2994_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2994_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2994}
-{"angle_1_degrees":68.270179,"angle_2_degrees":52.321337,"angles":[{"angle_degrees":68.270179,"arc_sweep_degrees":68.270179,"ray_endpoints":[[58.8265,175.5139],[186.6157,156.6303]],"vertex":[127.44,261.06]},{"angle_degrees":52.321337,"arc_sweep_degrees":52.321337,"ray_endpoints":[[374.8952,190.7534],[450.2095,234.0519]],"vertex":[344.56,261.06]}],"canvas_size":[472,458],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.55,"id":"angle_estimation_2995","image_path":"images/angle_estimation_2995.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2995_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2995_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2995_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2995_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2995_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2995}
-{"canvas_size":[462,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2996","image_path":"images/angle_estimation_2996.png","interior_angles_degrees":[114.255849,32.185285,33.558866],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2996_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2996_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2996_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2996_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2996_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2996,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[154.8237,352.77],[407.0,352.77],[55.0,131.23]]}
-{"canvas_size":[453,464],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2997","image_path":"images/angle_estimation_2997.png","interior_angles_degrees":[120.987034,27.784289,31.228677],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2997_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2997_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2997_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2997_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2997_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2997,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[163.5338,337.3616],[398.0,337.3616],[55.0,156.6384]]}
-{"canvas_size":[475,454],"dataset_version":"angle-estimation-5.0.0","difficulty_score":0.62,"id":"angle_estimation_2998","image_path":"images/angle_estimation_2998.png","interior_angles_degrees":[104.479964,33.55515,41.964886],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2998_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2998_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2998_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2998_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2998_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2998,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[117.5194,363.0469],[420.0,363.0469],[55.0,120.9531]]}
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+{"angle_degrees":298.127495,"arc_sweep_degrees":298.127495,"canvas_size":[458,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0001","image_path":"images/angle_estimation_0001.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0001_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_0001_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0001_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"118","question_id":"angle_estimation_0001_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0001_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[65.8784,259.68],[175.3504,362.6792]],"scene_type":"single","seed":1,"vertex":[229.0,255.0]}
+{"angle_degrees":38.856472,"arc_sweep_degrees":38.856472,"canvas_size":[453,455],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0002","image_path":"images/angle_estimation_0002.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0002_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_0002_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0002_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"141","question_id":"angle_estimation_0002_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0002_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[145.9081,93.4903],[252.297,92.5895]],"scene_type":"single","seed":2,"vertex":[226.5,239.5]}
+{"angle_degrees":195.037954,"arc_sweep_degrees":195.037954,"canvas_size":[465,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0003","image_path":"images/angle_estimation_0003.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0003_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0003_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0003_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"15","question_id":"angle_estimation_0003_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0003_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[131.492,153.5736],[302.4821,378.178]],"scene_type":"single","seed":3,"vertex":[232.5,255.5]}
+{"angle_degrees":45.076465,"arc_sweep_degrees":45.076465,"canvas_size":[465,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0004","image_path":"images/angle_estimation_0004.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0004_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_0004_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0004_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"135","question_id":"angle_estimation_0004_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0004_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[364.8401,305.2706],[273.4201,353.2223]],"scene_type":"single","seed":4,"vertex":[232.5,246.5]}
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+{"angle_degrees":289.464396,"arc_sweep_degrees":289.464396,"canvas_size":[500,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0006","image_path":"images/angle_estimation_0006.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0006_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_0006_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0006_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"109","question_id":"angle_estimation_0006_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0006_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[399.2511,255.4236],[290.5417,141.3153]],"scene_type":"single","seed":6,"vertex":[250.0,255.0]}
+{"angle_degrees":144.23999,"arc_sweep_degrees":144.23999,"canvas_size":[470,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0007","image_path":"images/angle_estimation_0007.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0007_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_0007_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0007_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"36","question_id":"angle_estimation_0007_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0007_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[340.7718,312.5404],[80.806,246.5429]],"scene_type":"single","seed":7,"vertex":[235.0,241.5]}
+{"angle_degrees":337.180302,"arc_sweep_degrees":337.180302,"canvas_size":[464,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0008","image_path":"images/angle_estimation_0008.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0008_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_0008_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0008_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"157","question_id":"angle_estimation_0008_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0008_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[344.9518,315.4771],[377.9098,268.6091]],"scene_type":"single","seed":8,"vertex":[232.0,248.5]}
+{"angle_1_degrees":69.729944,"angle_2_degrees":32.16631,"angles":[{"angle_degrees":69.729944,"arc_sweep_degrees":69.729944,"ray_endpoints":[[19.6843,276.8132],[94.5955,179.3689]],"vertex":[129.33,278.73]},{"angle_degrees":32.16631,"arc_sweep_degrees":32.16631,"ray_endpoints":[[267.2238,204.5107],[320.1283,174.6071]],"vertex":[349.67,278.73]}],"canvas_size":[479,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0009","image_path":"images/angle_estimation_0009.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0009_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0009_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0009_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0009_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0009_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":9}
+{"angle_1_degrees":78.622241,"angle_2_degrees":102.494571,"angles":[{"angle_degrees":78.622241,"arc_sweep_degrees":78.622241,"ray_endpoints":[[83.7714,189.2428],[226.5377,158.4946]],"vertex":[131.22,257.64]},{"angle_degrees":102.494571,"arc_sweep_degrees":102.494571,"ray_endpoints":[[316.5629,329.5212],[259.0903,175.934]],"vertex":[354.78,257.64]}],"canvas_size":[486,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0010","image_path":"images/angle_estimation_0010.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0010_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0010_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0010_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0010_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0010_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":10}
+{"angle_1_degrees":147.098044,"angle_2_degrees":134.994889,"angles":[{"angle_degrees":147.098044,"arc_sweep_degrees":147.098044,"ray_endpoints":[[163.3758,362.9663],[15.6812,195.6887]],"vertex":[129.06,276.45]},{"angle_degrees":134.994889,"arc_sweep_degrees":134.994889,"ray_endpoints":[[431.6682,208.3438],[336.9835,399.9029]],"vertex":[348.94,276.45]}],"canvas_size":[478,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0011","image_path":"images/angle_estimation_0011.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0011_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0011_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0011_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0011_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0011_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":11}
+{"angle_1_degrees":35.943614,"angle_2_degrees":56.611407,"angles":[{"angle_degrees":35.943614,"arc_sweep_degrees":35.943614,"ray_endpoints":[[20.1723,255.7267],[42.4954,189.382]],"vertex":[129.6,266.19]},{"angle_degrees":56.611407,"arc_sweep_degrees":56.611407,"ray_endpoints":[[373.42,366.4193],[258.4225,362.5183]],"vertex":[350.4,266.19]}],"canvas_size":[480,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0012","image_path":"images/angle_estimation_0012.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0012_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0012_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0012_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0012_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0012_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":12}
+{"angle_1_degrees":145.893795,"angle_2_degrees":39.715889,"angles":[{"angle_degrees":145.893795,"arc_sweep_degrees":145.893795,"ray_endpoints":[[138.9101,349.9589],[50.1284,185.7256]],"vertex":[125.82,266.76]},{"angle_degrees":39.715889,"arc_sweep_degrees":39.715889,"ray_endpoints":[[363.6442,368.4489],[290.6224,365.1976]],"vertex":[340.18,266.76]}],"canvas_size":[466,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0013","image_path":"images/angle_estimation_0013.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0013_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0013_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0013_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0013_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0013_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":13}
+{"angle_1_degrees":122.413693,"angle_2_degrees":114.326745,"angles":[{"angle_degrees":122.413693,"arc_sweep_degrees":122.413693,"ray_endpoints":[[119.0343,391.27],[27.6413,213.1268]],"vertex":[123.12,278.73]},{"angle_degrees":114.326745,"arc_sweep_degrees":114.326745,"ray_endpoints":[[249.7495,341.8238],[303.6241,150.6919]],"vertex":[332.88,278.73]}],"canvas_size":[456,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0014","image_path":"images/angle_estimation_0014.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0014_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0014_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0014_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0014_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0014_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":14}
+{"angle_1_degrees":68.766759,"angle_2_degrees":28.740776,"angles":[{"angle_degrees":68.766759,"arc_sweep_degrees":68.766759,"ray_endpoints":[[52.0028,315.1589],[21.7396,196.9104]],"vertex":[125.01,256.5]},{"angle_degrees":28.740776,"arc_sweep_degrees":28.740776,"ray_endpoints":[[362.024,341.9583],[305.8771,395.2333]],"vertex":[337.99,256.5]}],"canvas_size":[463,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0015","image_path":"images/angle_estimation_0015.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0015_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0015_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0015_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0015_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0015_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":15}
+{"canvas_size":[473,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0016","image_path":"images/angle_estimation_0016.png","interior_angles_degrees":[55.759428,51.333083,72.907488],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0016_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0016_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0016_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0016_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0016_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":16,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,377.5657],[418.0,377.5657],[221.845,132.4343]]}
+{"canvas_size":[483,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0017","image_path":"images/angle_estimation_0017.png","interior_angles_degrees":[73.696333,35.274655,71.029012],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0017_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0017_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0017_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0017_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0017_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":17,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,362.3094],[428.0,362.3094],[118.9438,143.6906]]}
+{"canvas_size":[461,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0018","image_path":"images/angle_estimation_0018.png","interior_angles_degrees":[58.303138,51.627043,70.069819],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0018_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0018_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0018_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0018_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0018_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":18,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,368.0247],[406.0,368.0247],[208.7972,118.9753]]}
+{"canvas_size":[493,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0019","image_path":"images/angle_estimation_0019.png","interior_angles_degrees":[59.17539,45.581322,75.243288],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0019_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0019_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0019_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0019_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0019_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":19,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,362.4629],[438.0,362.4629],[199.9543,119.5371]]}
+{"canvas_size":[496,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0020","image_path":"images/angle_estimation_0020.png","interior_angles_degrees":[71.038811,31.789893,77.171296],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0020_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0020_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0020_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0020_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0020_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":20,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,360.1183],[441.0,360.1183],[122.7646,162.8817]]}
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+{"angle_degrees":313.427348,"arc_sweep_degrees":313.427348,"canvas_size":[499,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0023","image_path":"images/angle_estimation_0023.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0023_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_0023_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0023_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"133","question_id":"angle_estimation_0023_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0023_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[134.8671,305.5494],[210.8226,381.094]],"scene_type":"single","seed":23,"vertex":[249.5,246.0]}
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+{"angle_degrees":30.0,"arc_sweep_degrees":30.0,"canvas_size":[474,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0025","image_path":"images/angle_estimation_0025.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0025_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_0025_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0025_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_0025_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0025_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[148.1971,158.8883],[207.3255,107.0219]],"scene_type":"single","seed":25,"vertex":[237.0,261.5]}
+{"angle_degrees":234.225688,"arc_sweep_degrees":234.225688,"canvas_size":[497,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0026","image_path":"images/angle_estimation_0026.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0026_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_0026_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0026_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"54","question_id":"angle_estimation_0026_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0026_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[350.2901,348.5323],[273.0154,107.56]],"scene_type":"single","seed":26,"vertex":[248.5,243.0]}
+{"angle_degrees":248.465651,"arc_sweep_degrees":248.465651,"canvas_size":[491,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0027","image_path":"images/angle_estimation_0027.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0027_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_0027_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0027_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"68","question_id":"angle_estimation_0027_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0027_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[403.9764,321.0158],[249.5728,135.2869]],"scene_type":"single","seed":27,"vertex":[245.5,252.0]}
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+{"angle_1_degrees":165.817384,"angle_2_degrees":26.597216,"angles":[{"angle_degrees":165.817384,"arc_sweep_degrees":165.817384,"ray_endpoints":[[76.6151,333.9954],[173.0269,152.8376]],"vertex":[130.95,258.78]},{"angle_degrees":26.597216,"arc_sweep_degrees":26.597216,"ray_endpoints":[[264.4654,186.7521],[304.8521,151.3362]],"vertex":[354.05,258.78]}],"canvas_size":[485,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0029","image_path":"images/angle_estimation_0029.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0029_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0029_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_0029_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0029_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0029_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":29}
+{"angle_1_degrees":142.328563,"angle_2_degrees":166.308619,"angles":[{"angle_degrees":142.328563,"arc_sweep_degrees":142.328563,"ray_endpoints":[[181.8966,324.1749],[12.6792,244.6891]],"vertex":[130.68,266.76]},{"angle_degrees":166.308619,"arc_sweep_degrees":166.308619,"ray_endpoints":[[275.8382,255.8029],[458.1141,256.4068]],"vertex":[353.32,266.76]}],"canvas_size":[484,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0030","image_path":"images/angle_estimation_0030.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0030_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0030_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0030_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0030_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0030_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":30}
+{"angle_1_degrees":27.983783,"angle_2_degrees":72.853993,"angles":[{"angle_degrees":27.983783,"arc_sweep_degrees":27.983783,"ray_endpoints":[[199.3546,340.0464],[162.0814,376.4296]],"vertex":[121.5,273.6]},{"angle_degrees":72.853993,"arc_sweep_degrees":72.853993,"ray_endpoints":[[379.1405,340.9597],[249.1264,383.1761]],"vertex":[328.5,273.6]}],"canvas_size":[450,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0031","image_path":"images/angle_estimation_0031.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0031_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0031_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0031_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0031_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0031_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":31}
+{"angle_1_degrees":85.003344,"angle_2_degrees":106.193966,"angles":[{"angle_degrees":85.003344,"arc_sweep_degrees":85.003344,"ray_endpoints":[[27.0421,248.9871],[131.8031,127.9611]],"vertex":[122.58,263.91]},{"angle_degrees":106.193966,"arc_sweep_degrees":106.193966,"ray_endpoints":[[415.5714,221.0912],[356.8292,397.4336]],"vertex":[331.42,263.91]}],"canvas_size":[454,463],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0032","image_path":"images/angle_estimation_0032.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0032_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0032_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0032_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0032_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0032_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":32}
+{"angle_1_degrees":111.157304,"angle_2_degrees":140.720622,"angles":[{"angle_degrees":111.157304,"arc_sweep_degrees":111.157304,"ray_endpoints":[[197.8335,207.6618],[172.0521,386.7521]],"vertex":[131.22,262.2]},{"angle_degrees":140.720622,"arc_sweep_degrees":140.720622,"ray_endpoints":[[290.3097,171.4085],[463.2326,291.9555]],"vertex":[354.78,262.2]}],"canvas_size":[486,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0033","image_path":"images/angle_estimation_0033.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0033_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0033_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0033_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0033_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0033_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":33}
+{"angle_1_degrees":34.771741,"angle_2_degrees":53.876734,"angles":[{"angle_degrees":34.771741,"arc_sweep_degrees":34.771741,"ray_endpoints":[[132.0724,169.6305],[209.8612,158.5932]],"vertex":[130.41,269.04]},{"angle_degrees":53.876734,"arc_sweep_degrees":53.876734,"ray_endpoints":[[350.0188,347.454],[263.7684,329.5056]],"vertex":[352.59,269.04]}],"canvas_size":[483,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0034","image_path":"images/angle_estimation_0034.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0034_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0034_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0034_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0034_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0034_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":34}
+{"angle_1_degrees":21.778408,"angle_2_degrees":145.373724,"angles":[{"angle_degrees":21.778408,"arc_sweep_degrees":21.778408,"ray_endpoints":[[200.2838,304.9009],[203.3229,353.201]],"vertex":[130.95,268.47]},{"angle_degrees":145.373724,"arc_sweep_degrees":145.373724,"ray_endpoints":[[403.0384,168.4453],[372.8682,393.9007]],"vertex":[354.05,268.47]}],"canvas_size":[485,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0035","image_path":"images/angle_estimation_0035.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0035_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0035_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_0035_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0035_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0035_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":35}
+{"canvas_size":[471,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0036","image_path":"images/angle_estimation_0036.png","interior_angles_degrees":[91.010351,40.969601,48.020048],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0036_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0036_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0036_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0036_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0036_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":36,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[60.5284,398.2382],[416.0,398.2382],[55.0,84.7618]]}
+{"canvas_size":[493,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0037","image_path":"images/angle_estimation_0037.png","interior_angles_degrees":[90.259203,53.258281,36.482516],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0037_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0037_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0037_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0037_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0037_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":37,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[103.4323,453.0],[391.323,453.0],[101.677,65.0]]}
+{"canvas_size":[490,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0038","image_path":"images/angle_estimation_0038.png","interior_angles_degrees":[90.493468,30.42094,59.085591],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0038_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0038_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0038_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0038_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0038_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":38,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.9218,364.5657],[435.0,364.5657],[55.0,141.4343]]}
+{"canvas_size":[463,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0039","image_path":"images/angle_estimation_0039.png","interior_angles_degrees":[89.329137,39.828067,50.842796],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0039_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0039_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0039_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0039_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0039_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":39,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,393.7772],[408.0,393.7772],[58.4139,102.2228]]}
+{"canvas_size":[479,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0040","image_path":"images/angle_estimation_0040.png","interior_angles_degrees":[88.97005,30.709132,60.320818],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0040_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0040_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0040_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0040_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0040_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":40,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,366.93],[424.0,366.93],[58.8987,150.07]]}
+{"angle_degrees":66.452498,"arc_sweep_degrees":66.452498,"canvas_size":[474,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0041","image_path":"images/angle_estimation_0041.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0041_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_0041_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0041_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"114","question_id":"angle_estimation_0041_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0041_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[174.2965,88.7426],[335.594,148.5621]],"scene_type":"single","seed":41,"vertex":[237.0,247.5]}
+{"angle_degrees":18.503674,"arc_sweep_degrees":18.503674,"canvas_size":[490,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0042","image_path":"images/angle_estimation_0042.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0042_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_0042_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0042_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"161","question_id":"angle_estimation_0042_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0042_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[233.2198,102.2495],[272.906,125.4432]],"scene_type":"single","seed":42,"vertex":[245.0,240.5]}
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+{"angle_degrees":194.270483,"arc_sweep_degrees":194.270483,"canvas_size":[476,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0044","image_path":"images/angle_estimation_0044.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0044_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0044_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0044_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"14","question_id":"angle_estimation_0044_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0044_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[264.1305,419.5585],[248.7341,138.3995]],"scene_type":"single","seed":44,"vertex":[238.0,253.5]}
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+{"angle_1_degrees":130.337812,"angle_2_degrees":91.805603,"angles":[{"angle_degrees":130.337812,"arc_sweep_degrees":130.337812,"ray_endpoints":[[115.785,192.3535],[209.765,330.7115]],"vertex":[122.58,269.04]},{"angle_degrees":91.805603,"arc_sweep_degrees":91.805603,"ray_endpoints":[[276.0178,209.712],[432.4533,180.4841]],"vertex":[331.42,269.04]}],"canvas_size":[454,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0049","image_path":"images/angle_estimation_0049.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0049_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0049_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0049_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0049_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0049_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":49}
+{"angle_1_degrees":25.761651,"angle_2_degrees":65.602898,"angles":[{"angle_degrees":25.761651,"arc_sweep_degrees":25.761651,"ray_endpoints":[[54.2154,302.4503],[22.1208,265.9007]],"vertex":[129.87,266.19]},{"angle_degrees":65.602898,"arc_sweep_degrees":65.602898,"ray_endpoints":[[423.4209,296.9379],[354.4908,408.2403]],"vertex":[351.13,266.19]}],"canvas_size":[481,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0050","image_path":"images/angle_estimation_0050.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0050_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0050_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0050_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0050_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0050_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":50}
+{"angle_1_degrees":97.72634,"angle_2_degrees":84.179337,"angles":[{"angle_degrees":97.72634,"arc_sweep_degrees":97.72634,"ray_endpoints":[[69.1362,360.7228],[30.4951,192.1233]],"vertex":[125.55,274.74]},{"angle_degrees":84.179337,"arc_sweep_degrees":84.179337,"ray_endpoints":[[306.434,178.8384],[448.7951,224.1745]],"vertex":[339.45,274.74]}],"canvas_size":[465,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0051","image_path":"images/angle_estimation_0051.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0051_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0051_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0051_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0051_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0051_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":51}
+{"angle_1_degrees":150.805055,"angle_2_degrees":92.013949,"angles":[{"angle_degrees":150.805055,"arc_sweep_degrees":150.805055,"ray_endpoints":[[195.5568,342.4721],[14.4371,214.6729]],"vertex":[126.09,258.21]},{"angle_degrees":92.013949,"arc_sweep_degrees":92.013949,"ray_endpoints":[[452.4932,233.4561],[365.8532,392.8685]],"vertex":[340.91,258.21]}],"canvas_size":[467,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0052","image_path":"images/angle_estimation_0052.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0052_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0052_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0052_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0052_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0052_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":52}
+{"angle_1_degrees":46.610371,"angle_2_degrees":32.111723,"angles":[{"angle_degrees":46.610371,"arc_sweep_degrees":46.610371,"ray_endpoints":[[81.1018,183.3574],[164.3749,137.0885]],"vertex":[132.03,263.91]},{"angle_degrees":32.111723,"arc_sweep_degrees":32.111723,"ray_endpoints":[[336.7379,376.3836],[284.808,343.1894]],"vertex":[356.97,263.91]}],"canvas_size":[489,463],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0053","image_path":"images/angle_estimation_0053.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0053_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0053_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0053_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0053_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0053_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":53}
+{"angle_1_degrees":98.971249,"angle_2_degrees":87.283565,"angles":[{"angle_degrees":98.971249,"arc_sweep_degrees":98.971249,"ray_endpoints":[[16.6452,309.8519],[102.1887,154.1774]],"vertex":[123.66,272.46]},{"angle_degrees":87.283565,"arc_sweep_degrees":87.283565,"ray_endpoints":[[417.7879,220.8928],[402.3496,371.6714]],"vertex":[334.34,272.46]}],"canvas_size":[458,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0054","image_path":"images/angle_estimation_0054.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0054_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0054_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0054_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0054_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0054_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":54}
+{"angle_1_degrees":33.995365,"angle_2_degrees":128.299236,"angles":[{"angle_degrees":33.995365,"arc_sweep_degrees":33.995365,"ray_endpoints":[[88.0199,366.2556],[15.5623,345.0923]],"vertex":[122.85,263.34]},{"angle_degrees":128.299236,"arc_sweep_degrees":128.299236,"ray_endpoints":[[419.1482,244.2643],[273.6062,383.7352]],"vertex":[332.15,263.34]}],"canvas_size":[455,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0055","image_path":"images/angle_estimation_0055.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0055_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0055_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_0055_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0055_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0055_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":55}
+{"canvas_size":[485,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0056","image_path":"images/angle_estimation_0056.png","interior_angles_degrees":[119.977729,30.425546,29.596725],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0056_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0056_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0056_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0056_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0056_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":56,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[182.0392,350.118],[430.0,350.118],[55.0,129.882]]}
+{"canvas_size":[452,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0057","image_path":"images/angle_estimation_0057.png","interior_angles_degrees":[98.811052,35.533472,45.655477],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0057_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0057_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0057_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0057_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0057_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":57,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[92.8598,373.6239],[397.0,373.6239],[55.0,129.3761]]}
+{"canvas_size":[487,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0058","image_path":"images/angle_estimation_0058.png","interior_angles_degrees":[124.962718,31.739836,23.297446],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0058_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0058_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0058_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0058_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0058_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":58,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[218.0639,362.6011],[432.0,362.6011],[55.0,129.3989]]}
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+{"angle_degrees":32.152472,"arc_sweep_degrees":32.152472,"canvas_size":[486,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0062","image_path":"images/angle_estimation_0062.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0062_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_0062_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0062_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"148","question_id":"angle_estimation_0062_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0062_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[182.1063,396.6471],[115.2088,336.3435]],"scene_type":"single","seed":62,"vertex":[243.0,242.5]}
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+{"angle_degrees":340.511831,"arc_sweep_degrees":340.511831,"canvas_size":[454,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0067","image_path":"images/angle_estimation_0067.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0067_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_0067_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0067_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"161","question_id":"angle_estimation_0067_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0067_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[95.317,303.0054],[112.4274,354.5947]],"scene_type":"single","seed":67,"vertex":[227.0,240.5]}
+{"angle_degrees":329.873313,"arc_sweep_degrees":329.873313,"canvas_size":[497,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0068","image_path":"images/angle_estimation_0068.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0068_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_0068_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0068_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_0068_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0068_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[372.9705,355.7649],[405.6494,278.7154]],"scene_type":"single","seed":68,"vertex":[248.5,251.5]}
+{"angle_1_degrees":32.789685,"angle_2_degrees":59.610656,"angles":[{"angle_degrees":32.789685,"arc_sweep_degrees":32.789685,"ray_endpoints":[[136.3629,154.9444],[207.7521,149.456]],"vertex":[133.11,257.64]},{"angle_degrees":59.610656,"arc_sweep_degrees":59.610656,"ray_endpoints":[[442.7652,320.4882],[343.6253,394.3356]],"vertex":[359.89,257.64]}],"canvas_size":[493,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0069","image_path":"images/angle_estimation_0069.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0069_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0069_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0069_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0069_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0069_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":69}
+{"angle_1_degrees":138.946884,"angle_2_degrees":47.540918,"angles":[{"angle_degrees":138.946884,"arc_sweep_degrees":138.946884,"ray_endpoints":[[137.2305,166.7519],[191.8908,371.5448]],"vertex":[123.39,266.76]},{"angle_degrees":47.540918,"arc_sweep_degrees":47.540918,"ray_endpoints":[[408.5278,316.7311],[355.0074,405.6956]],"vertex":[333.61,266.76]}],"canvas_size":[457,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0070","image_path":"images/angle_estimation_0070.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0070_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0070_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_0070_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0070_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0070_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":70}
+{"angle_1_degrees":109.204726,"angle_2_degrees":11.356793,"angles":[{"angle_degrees":109.204726,"arc_sweep_degrees":109.204726,"ray_endpoints":[[50.9424,360.1696],[59.7271,154.3222]],"vertex":[126.9,274.74]},{"angle_degrees":11.356793,"arc_sweep_degrees":11.356793,"ray_endpoints":[[396.8333,367.9887],[386.2852,403.0969]],"vertex":[343.1,274.74]}],"canvas_size":[470,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0071","image_path":"images/angle_estimation_0071.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0071_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0071_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_0071_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0071_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0071_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":71}
+{"angle_1_degrees":24.571636,"angle_2_degrees":60.815741,"angles":[{"angle_degrees":24.571636,"arc_sweep_degrees":24.571636,"ray_endpoints":[[120.6685,360.6874],[69.205,394.3461]],"vertex":[122.58,285.0]},{"angle_degrees":60.815741,"arc_sweep_degrees":60.815741,"ray_endpoints":[[272.7298,218.258],[369.3944,177.6961]],"vertex":[331.42,285.0]}],"canvas_size":[454,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0072","image_path":"images/angle_estimation_0072.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0072_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0072_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0072_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0072_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0072_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":72}
+{"angle_1_degrees":90.342475,"angle_2_degrees":100.263655,"angles":[{"angle_degrees":90.342475,"arc_sweep_degrees":90.342475,"ray_endpoints":[[32.952,267.9769],[116.5618,132.3744]],"vertex":[126.09,260.49]},{"angle_degrees":100.263655,"arc_sweep_degrees":100.263655,"ray_endpoints":[[414.509,321.6843],[254.2714,333.1738]],"vertex":[340.91,260.49]}],"canvas_size":[467,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0073","image_path":"images/angle_estimation_0073.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0073_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0073_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0073_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0073_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0073_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":73}
+{"angle_1_degrees":148.761751,"angle_2_degrees":61.08346,"angles":[{"angle_degrees":148.761751,"arc_sweep_degrees":148.761751,"ray_endpoints":[[198.2405,190.6859],[118.3672,386.18]],"vertex":[132.03,274.74]},{"angle_degrees":61.08346,"arc_sweep_degrees":61.08346,"ray_endpoints":[[383.6671,195.4493],[465.0018,255.0913]],"vertex":[356.97,274.74]}],"canvas_size":[489,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0074","image_path":"images/angle_estimation_0074.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0074_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0074_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_0074_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0074_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0074_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":74}
+{"angle_1_degrees":79.859153,"angle_2_degrees":16.66148,"angles":[{"angle_degrees":79.859153,"arc_sweep_degrees":79.859153,"ray_endpoints":[[24.9101,295.6555],[83.975,153.5939]],"vertex":[129.06,277.59]},{"angle_degrees":16.66148,"arc_sweep_degrees":16.66148,"ray_endpoints":[[312.6318,182.3681],[338.6393,137.6694]],"vertex":[348.94,277.59]}],"canvas_size":[478,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0075","image_path":"images/angle_estimation_0075.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0075_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0075_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0075_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0075_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0075_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":75}
+{"canvas_size":[473,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0076","image_path":"images/angle_estimation_0076.png","interior_angles_degrees":[49.831082,47.911437,82.257481],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0076_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0076_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0076_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0076_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0076_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":76,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,358.372],[418.0,358.372],[230.3642,150.628]]}
+{"canvas_size":[466,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0077","image_path":"images/angle_estimation_0077.png","interior_angles_degrees":[48.373292,83.400108,48.2266],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0077_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0077_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0077_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0077_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0077_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":77,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,427.2242],[411.0,427.2242],[369.9896,72.7758]]}
+{"canvas_size":[462,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0078","image_path":"images/angle_estimation_0078.png","interior_angles_degrees":[63.938574,66.441838,49.619588],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0078_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0078_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0078_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0078_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0078_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":78,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[66.3357,421.0],[395.6643,421.0],[240.4412,65.0]]}
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+{"angle_1_degrees":24.830958,"angle_2_degrees":115.516794,"angles":[{"angle_degrees":24.830958,"arc_sweep_degrees":24.830958,"ray_endpoints":[[115.9135,380.174],[59.5604,394.9079]],"vertex":[125.01,282.15]},{"angle_degrees":115.516794,"arc_sweep_degrees":115.516794,"ray_endpoints":[[328.0519,196.8135],[440.1557,317.0777]],"vertex":[337.99,282.15]}],"canvas_size":[463,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0090","image_path":"images/angle_estimation_0090.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0090_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0090_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_0090_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0090_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0090_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":90}
+{"angle_1_degrees":44.300969,"angle_2_degrees":52.418157,"angles":[{"angle_degrees":44.300969,"arc_sweep_degrees":44.300969,"ray_endpoints":[[194.3519,305.5303],[181.5161,407.1873]],"vertex":[122.85,277.59]},{"angle_degrees":52.418157,"arc_sweep_degrees":52.418157,"ray_endpoints":[[361.8152,363.2353],[270.4471,371.4756]],"vertex":[332.15,277.59]}],"canvas_size":[455,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0091","image_path":"images/angle_estimation_0091.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0091_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0091_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0091_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0091_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0091_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":91}
+{"angle_1_degrees":15.625388,"angle_2_degrees":155.313187,"angles":[{"angle_degrees":15.625388,"arc_sweep_degrees":15.625388,"ray_endpoints":[[172.5114,367.9509],[147.8397,387.442]],"vertex":[128.52,275.31]},{"angle_degrees":155.313187,"arc_sweep_degrees":155.313187,"ray_endpoints":[[263.9711,285.313],[457.7286,207.7036]],"vertex":[347.48,275.31]}],"canvas_size":[476,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0092","image_path":"images/angle_estimation_0092.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0092_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0092_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_0092_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0092_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0092_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":92}
+{"angle_1_degrees":125.672819,"angle_2_degrees":151.30148,"angles":[{"angle_degrees":125.672819,"arc_sweep_degrees":125.672819,"ray_endpoints":[[68.8069,326.6248],[123.2613,166.3042]],"vertex":[129.87,277.02]},{"angle_degrees":151.30148,"arc_sweep_degrees":151.30148,"ray_endpoints":[[437.2968,214.4061],[296.3202,392.9862]],"vertex":[351.13,277.02]}],"canvas_size":[481,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0093","image_path":"images/angle_estimation_0093.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0093_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0093_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0093_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0093_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0093_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":93}
+{"angle_1_degrees":29.858983,"angle_2_degrees":54.814962,"angles":[{"angle_degrees":29.858983,"arc_sweep_degrees":29.858983,"ray_endpoints":[[38.4578,263.8158],[38.4416,211.2001]],"vertex":[130.68,262.77]},{"angle_degrees":54.814962,"arc_sweep_degrees":54.814962,"ray_endpoints":[[462.8532,234.666],[446.3023,341.9726]],"vertex":[353.32,262.77]}],"canvas_size":[484,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0094","image_path":"images/angle_estimation_0094.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0094_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0094_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0094_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0094_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0094_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":94}
+{"angle_1_degrees":113.779176,"angle_2_degrees":67.600606,"angles":[{"angle_degrees":113.779176,"arc_sweep_degrees":113.779176,"ray_endpoints":[[193.88,362.1412],[16.1058,298.4174]],"vertex":[134.46,275.88]},{"angle_degrees":67.600606,"arc_sweep_degrees":67.600606,"ray_endpoints":[[303.8036,219.1459],[415.1459,142.3068]],"vertex":[363.54,275.88]}],"canvas_size":[498,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0095","image_path":"images/angle_estimation_0095.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0095_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0095_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0095_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0095_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0095_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":95}
+{"canvas_size":[473,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0096","image_path":"images/angle_estimation_0096.png","interior_angles_degrees":[89.771255,28.442695,61.786051],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0096_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0096_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0096_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0096_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0096_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":96,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,348.0994],[418.0,348.0994],[55.7833,151.9006]]}
+{"canvas_size":[462,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0097","image_path":"images/angle_estimation_0097.png","interior_angles_degrees":[89.718524,42.471072,47.810404],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0097_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0097_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0097_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0097_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0097_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":97,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,413.8896],[407.0,413.8896],[56.5759,93.1104]]}
+{"canvas_size":[472,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0098","image_path":"images/angle_estimation_0098.png","interior_angles_degrees":[89.675221,25.691388,64.633391],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0098_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0098_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0098_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0098_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0098_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":98,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,344.8391],[417.0,344.8391],[55.9845,171.1609]]}
+{"canvas_size":[475,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0099","image_path":"images/angle_estimation_0099.png","interior_angles_degrees":[89.29336,39.331954,51.374685],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0099_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0099_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0099_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0099_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0099_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":99,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,400.0483],[420.0,400.0483],[58.652,103.9517]]}
+{"canvas_size":[459,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0100","image_path":"images/angle_estimation_0100.png","interior_angles_degrees":[90.595717,44.574824,44.829459],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0100_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0100_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0100_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0100_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0100_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":100,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[58.5753,426.4292],[404.0,426.4292],[55.0,82.5708]]}
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+{"angle_degrees":219.428192,"arc_sweep_degrees":219.428192,"canvas_size":[459,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0102","image_path":"images/angle_estimation_0102.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0102_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_0102_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0102_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"39","question_id":"angle_estimation_0102_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0102_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[125.4994,174.8225],[259.5935,403.1533]],"scene_type":"single","seed":102,"vertex":[229.5,258.5]}
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+{"angle_degrees":119.99998,"arc_sweep_degrees":119.99998,"canvas_size":[487,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0105","image_path":"images/angle_estimation_0105.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0105_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_0105_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0105_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"60","question_id":"angle_estimation_0105_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0105_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[180.8034,400.1226],[144.5956,119.5758]],"scene_type":"single","seed":105,"vertex":[243.5,248.0]}
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+{"angle_degrees":287.315681,"arc_sweep_degrees":287.315681,"canvas_size":[458,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0108","image_path":"images/angle_estimation_0108.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0108_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_0108_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0108_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"107","question_id":"angle_estimation_0108_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0108_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[200.9212,426.1734],[343.2662,317.4161]],"scene_type":"single","seed":108,"vertex":[229.0,259.5]}
+{"angle_1_degrees":26.240104,"angle_2_degrees":90.354381,"angles":[{"angle_degrees":26.240104,"arc_sweep_degrees":26.240104,"ray_endpoints":[[13.6305,251.0816],[19.195,194.9706]],"vertex":[126.09,264.48]},{"angle_degrees":90.354381,"arc_sweep_degrees":90.354381,"ray_endpoints":[[397.4421,174.1081],[444.8157,330.3758]],"vertex":[340.91,264.48]}],"canvas_size":[467,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0109","image_path":"images/angle_estimation_0109.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0109_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0109_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0109_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0109_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0109_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":109}
+{"angle_1_degrees":52.799126,"angle_2_degrees":32.510124,"angles":[{"angle_degrees":52.799126,"arc_sweep_degrees":52.799126,"ray_endpoints":[[34.7334,292.4355],[52.6765,200.6592]],"vertex":[127.98,285.0]},{"angle_degrees":32.510124,"arc_sweep_degrees":32.510124,"ray_endpoints":[[435.3897,310.8979],[432.0397,382.8138]],"vertex":[346.02,285.0]}],"canvas_size":[474,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0110","image_path":"images/angle_estimation_0110.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0110_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0110_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0110_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0110_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0110_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":110}
+{"angle_1_degrees":60.101548,"angle_2_degrees":131.665551,"angles":[{"angle_degrees":60.101548,"arc_sweep_degrees":60.101548,"ray_endpoints":[[190.8991,320.8858],[105.2314,394.1081]],"vertex":[125.01,267.9]},{"angle_degrees":131.665551,"arc_sweep_degrees":131.665551,"ray_endpoints":[[413.2665,244.025],[287.6635,380.573]],"vertex":[337.99,267.9]}],"canvas_size":[463,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0111","image_path":"images/angle_estimation_0111.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0111_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0111_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0111_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0111_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0111_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":111}
+{"angle_1_degrees":102.768182,"angle_2_degrees":57.817169,"angles":[{"angle_degrees":102.768182,"arc_sweep_degrees":102.768182,"ray_endpoints":[[68.8161,351.6164],[56.7272,182.7976]],"vertex":[129.6,280.44]},{"angle_degrees":57.817169,"arc_sweep_degrees":57.817169,"ray_endpoints":[[271.0936,226.2514],[354.4007,174.4295]],"vertex":[350.4,280.44]}],"canvas_size":[480,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0112","image_path":"images/angle_estimation_0112.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0112_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0112_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0112_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0112_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0112_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":112}
+{"angle_1_degrees":16.12678,"angle_2_degrees":66.381035,"angles":[{"angle_degrees":16.12678,"arc_sweep_degrees":16.12678,"ray_endpoints":[[32.5151,209.4032],[42.9648,169.7234]],"vertex":[121.77,279.87]},{"angle_degrees":66.381035,"arc_sweep_degrees":66.381035,"ray_endpoints":[[380.9241,366.476],[252.2704,387.5702]],"vertex":[329.23,279.87]}],"canvas_size":[451,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0113","image_path":"images/angle_estimation_0113.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0113_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0113_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0113_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0113_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0113_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":113}
+{"angle_1_degrees":117.958034,"angle_2_degrees":57.066602,"angles":[{"angle_degrees":117.958034,"arc_sweep_degrees":117.958034,"ray_endpoints":[[187.6286,230.5483],[146.881,413.8573]],"vertex":[125.55,277.02]},{"angle_degrees":57.066602,"arc_sweep_degrees":57.066602,"ray_endpoints":[[427.0921,264.651],[411.0778,359.5156]],"vertex":[339.45,277.02]}],"canvas_size":[465,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0114","image_path":"images/angle_estimation_0114.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0114_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0114_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0114_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0114_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0114_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":114}
+{"angle_1_degrees":134.381456,"angle_2_degrees":95.974252,"angles":[{"angle_degrees":134.381456,"arc_sweep_degrees":134.381456,"ray_endpoints":[[103.2943,348.6577],[55.3685,142.7734]],"vertex":[126.36,263.34]},{"angle_degrees":95.974252,"arc_sweep_degrees":95.974252,"ray_endpoints":[[282.1436,357.8532],[250.1472,191.4332]],"vertex":[341.64,263.34]}],"canvas_size":[468,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0115","image_path":"images/angle_estimation_0115.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0115_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0115_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0115_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0115_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0115_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":115}
+{"canvas_size":[497,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0116","image_path":"images/angle_estimation_0116.png","interior_angles_degrees":[110.522131,34.29712,35.180748],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0116_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0116_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0116_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0116_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0116_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":116,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[153.8087,390.9825],[442.0,390.9825],[55.0,127.0175]]}
+{"canvas_size":[465,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0117","image_path":"images/angle_estimation_0117.png","interior_angles_degrees":[114.793644,27.640126,37.566229],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0117_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0117_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0117_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0117_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0117_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":117,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[140.8757,338.4531],[410.0,338.4531],[55.0,152.5469]]}
+{"canvas_size":[495,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0118","image_path":"images/angle_estimation_0118.png","interior_angles_degrees":[102.158666,36.655359,41.185975],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0118_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0118_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0118_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0118_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0118_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":118,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[116.728,403.2519],[440.0,403.2519],[55.0,116.7481]]}
+{"canvas_size":[468,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0119","image_path":"images/angle_estimation_0119.png","interior_angles_degrees":[137.124503,19.494902,23.380595],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0119_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0119_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0119_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0119_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0119_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":119,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[191.504,308.8693],[413.0,308.8693],[55.0,182.1307]]}
+{"canvas_size":[482,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0120","image_path":"images/angle_estimation_0120.png","interior_angles_degrees":[138.022623,22.127769,19.849608],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0120_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0120_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0120_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0120_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0120_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":120,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[223.1287,323.1318],[427.0,323.1318],[55.0,171.8682]]}
+{"angle_degrees":208.494729,"arc_sweep_degrees":208.494729,"canvas_size":[455,463],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0121","image_path":"images/angle_estimation_0121.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0121_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_0121_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0121_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"28","question_id":"angle_estimation_0121_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0121_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[118.5065,148.0389],[282.9471,393.4571]],"scene_type":"single","seed":121,"vertex":[227.5,243.5]}
+{"angle_degrees":212.979347,"arc_sweep_degrees":212.979347,"canvas_size":[482,463],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0122","image_path":"images/angle_estimation_0122.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0122_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_0122_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0122_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"33","question_id":"angle_estimation_0122_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0122_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[223.21,104.5191],[171.3048,388.4132]],"scene_type":"single","seed":122,"vertex":[241.0,243.5]}
+{"angle_degrees":39.643475,"arc_sweep_degrees":39.643475,"canvas_size":[453,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0123","image_path":"images/angle_estimation_0123.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0123_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_0123_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0123_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"140","question_id":"angle_estimation_0123_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0123_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[344.7407,160.9466],[337.6802,253.4209]],"scene_type":"single","seed":123,"vertex":[226.5,245.5]}
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+{"angle_degrees":120.000004,"arc_sweep_degrees":120.000004,"canvas_size":[465,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0125","image_path":"images/angle_estimation_0125.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0125_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_0125_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0125_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"60","question_id":"angle_estimation_0125_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0125_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[149.4237,356.7453],[172.7189,107.2665]],"scene_type":"single","seed":125,"vertex":[232.5,244.0]}
+{"angle_degrees":206.54175,"arc_sweep_degrees":206.54175,"canvas_size":[486,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0126","image_path":"images/angle_estimation_0126.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0126_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_0126_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0126_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"27","question_id":"angle_estimation_0126_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0126_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[97.4894,264.5123],[380.8564,279.0898]],"scene_type":"single","seed":126,"vertex":[243.0,238.5]}
+{"angle_degrees":207.368932,"arc_sweep_degrees":207.368932,"canvas_size":[452,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0127","image_path":"images/angle_estimation_0127.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0127_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_0127_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0127_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"27","question_id":"angle_estimation_0127_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0127_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[207.0339,421.5392],[285.3897,168.2005]],"scene_type":"single","seed":127,"vertex":[226.0,256.5]}
+{"angle_degrees":55.574315,"arc_sweep_degrees":55.574315,"canvas_size":[465,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0128","image_path":"images/angle_estimation_0128.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0128_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_0128_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0128_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"124","question_id":"angle_estimation_0128_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0128_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[150.6748,153.1081],[262.5463,139.269]],"scene_type":"single","seed":128,"vertex":[232.5,249.5]}
+{"angle_1_degrees":17.019072,"angle_2_degrees":72.793767,"angles":[{"angle_degrees":17.019072,"arc_sweep_degrees":17.019072,"ray_endpoints":[[161.1707,354.396],[145.7648,417.7537]],"vertex":[131.49,285.0]},{"angle_degrees":72.793767,"arc_sweep_degrees":72.793767,"ray_endpoints":[[275.9393,250.4264],[369.9619,153.6506]],"vertex":[355.51,285.0]}],"canvas_size":[487,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0129","image_path":"images/angle_estimation_0129.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0129_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0129_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0129_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0129_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0129_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":129}
+{"angle_1_degrees":53.731469,"angle_2_degrees":128.527808,"angles":[{"angle_degrees":53.731469,"arc_sweep_degrees":53.731469,"ray_endpoints":[[137.1141,378.5886],[29.9429,355.7858]],"vertex":[130.41,271.89]},{"angle_degrees":128.527808,"arc_sweep_degrees":128.527808,"ray_endpoints":[[265.5043,255.9322],[461.1635,177.2141]],"vertex":[352.59,271.89]}],"canvas_size":[483,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0130","image_path":"images/angle_estimation_0130.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0130_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0130_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0130_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0130_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0130_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":130}
+{"angle_1_degrees":133.178882,"angle_2_degrees":24.013954,"angles":[{"angle_degrees":133.178882,"arc_sweep_degrees":133.178882,"ray_endpoints":[[195.4517,216.901],[115.0827,389.6487]],"vertex":[126.9,269.61]},{"angle_degrees":24.013954,"arc_sweep_degrees":24.013954,"ray_endpoints":[[414.9321,322.0273],[407.2181,381.2632]],"vertex":[343.1,269.61]}],"canvas_size":[470,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0131","image_path":"images/angle_estimation_0131.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0131_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0131_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0131_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0131_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0131_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":131}
+{"angle_1_degrees":67.411579,"angle_2_degrees":30.995389,"angles":[{"angle_degrees":67.411579,"arc_sweep_degrees":67.411579,"ray_endpoints":[[54.6542,282.2893],[51.6253,163.9635]],"vertex":[128.52,261.63]},{"angle_degrees":30.995389,"arc_sweep_degrees":30.995389,"ray_endpoints":[[251.2747,208.5428],[282.9689,150.406]],"vertex":[347.48,261.63]}],"canvas_size":[476,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0132","image_path":"images/angle_estimation_0132.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0132_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0132_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0132_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0132_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0132_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":132}
+{"angle_1_degrees":116.13081,"angle_2_degrees":52.212622,"angles":[{"angle_degrees":116.13081,"arc_sweep_degrees":116.13081,"ray_endpoints":[[43.4594,267.082],[178.362,175.6047]],"vertex":[129.87,269.04]},{"angle_degrees":52.212622,"arc_sweep_degrees":52.212622,"ray_endpoints":[[399.0877,334.7285],[318.8797,380.9183]],"vertex":[351.13,269.04]}],"canvas_size":[481,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0133","image_path":"images/angle_estimation_0133.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0133_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0133_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0133_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0133_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0133_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":133}
+{"angle_1_degrees":41.802923,"angle_2_degrees":167.420725,"angles":[{"angle_degrees":41.802923,"arc_sweep_degrees":41.802923,"ray_endpoints":[[138.7067,164.241],[227.3968,182.4725]],"vertex":[129.6,275.31]},{"angle_degrees":167.420725,"arc_sweep_degrees":167.420725,"ray_endpoints":[[271.1229,280.0341],[466.2572,242.1115]],"vertex":[350.4,275.31]}],"canvas_size":[480,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0134","image_path":"images/angle_estimation_0134.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0134_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0134_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_0134_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0134_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0134_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":134}
+{"angle_1_degrees":29.308127,"angle_2_degrees":55.266371,"angles":[{"angle_degrees":29.308127,"arc_sweep_degrees":29.308127,"ray_endpoints":[[68.1405,195.0322],[110.4341,160.7939]],"vertex":[132.84,269.61]},{"angle_degrees":55.266371,"arc_sweep_degrees":55.266371,"ray_endpoints":[[440.8293,233.1311],[477.6942,341.3903]],"vertex":[359.16,269.61]}],"canvas_size":[492,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0135","image_path":"images/angle_estimation_0135.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0135_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0135_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0135_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0135_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0135_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":135}
+{"canvas_size":[486,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0136","image_path":"images/angle_estimation_0136.png","interior_angles_degrees":[56.294159,61.548701,62.15714],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0136_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0136_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0136_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0136_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0136_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":136,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,409.0107],[431.0,409.0107],[262.4713,97.9893]]}
+{"canvas_size":[454,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0137","image_path":"images/angle_estimation_0137.png","interior_angles_degrees":[74.678422,39.909166,65.412413],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0137_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0137_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0137_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0137_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0137_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":137,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,362.5409],[399.0,362.5409],[119.1323,128.4591]]}
+{"canvas_size":[462,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0138","image_path":"images/angle_estimation_0138.png","interior_angles_degrees":[65.039446,40.587585,74.372968],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0138_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0138_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0138_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0138_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0138_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":138,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,359.7968],[407.0,359.7968],[155.3523,144.2032]]}
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+{"canvas_size":[499,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0140","image_path":"images/angle_estimation_0140.png","interior_angles_degrees":[42.600546,87.851097,49.548358],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0140_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0140_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0140_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0140_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0140_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":140,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,415.8898],[444.0,415.8898],[431.0253,70.1102]]}
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+{"angle_degrees":241.264636,"arc_sweep_degrees":241.264636,"canvas_size":[487,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0142","image_path":"images/angle_estimation_0142.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0142_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_0142_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0142_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"61","question_id":"angle_estimation_0142_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0142_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[159.2956,382.3525],[377.0255,272.0531]],"scene_type":"single","seed":142,"vertex":[243.5,259.0]}
+{"angle_degrees":15.40232,"arc_sweep_degrees":15.40232,"canvas_size":[461,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0143","image_path":"images/angle_estimation_0143.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0143_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_0143_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0143_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"165","question_id":"angle_estimation_0143_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0143_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[119.2806,309.247],[125.4513,270.6009]],"scene_type":"single","seed":143,"vertex":[230.5,238.0]}
+{"angle_degrees":164.494416,"arc_sweep_degrees":164.494416,"canvas_size":[478,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0144","image_path":"images/angle_estimation_0144.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0144_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_0144_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0144_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"16","question_id":"angle_estimation_0144_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0144_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[302.3225,77.8199],[223.3309,385.4885]],"scene_type":"single","seed":144,"vertex":[239.0,238.0]}
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+{"angle_degrees":226.250275,"arc_sweep_degrees":226.250275,"canvas_size":[475,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0148","image_path":"images/angle_estimation_0148.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0148_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_0148_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0148_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"46","question_id":"angle_estimation_0148_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0148_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[162.7648,102.4066],[199.4949,359.3806]],"scene_type":"single","seed":148,"vertex":[237.5,259.0]}
+{"angle_1_degrees":102.480853,"angle_2_degrees":74.014255,"angles":[{"angle_degrees":102.480853,"arc_sweep_degrees":102.480853,"ray_endpoints":[[64.273,310.8979],[56.7204,139.5372]],"vertex":[122.58,259.92]},{"angle_degrees":74.014255,"arc_sweep_degrees":74.014255,"ray_endpoints":[[251.2539,273.4543],[279.1087,150.5838]],"vertex":[331.42,259.92]}],"canvas_size":[454,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0149","image_path":"images/angle_estimation_0149.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0149_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0149_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0149_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0149_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0149_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":149}
+{"angle_1_degrees":86.527748,"angle_2_degrees":36.064635,"angles":[{"angle_degrees":86.527748,"arc_sweep_degrees":86.527748,"ray_endpoints":[[198.1611,237.4195],[191.2843,389.1396]],"vertex":[126.9,270.75]},{"angle_degrees":36.064635,"arc_sweep_degrees":36.064635,"ray_endpoints":[[431.0581,300.0834],[421.481,380.6678]],"vertex":[343.1,270.75]}],"canvas_size":[470,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0150","image_path":"images/angle_estimation_0150.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0150_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0150_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0150_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0150_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0150_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":150}
+{"angle_1_degrees":58.732287,"angle_2_degrees":38.156722,"angles":[{"angle_degrees":58.732287,"arc_sweep_degrees":58.732287,"ray_endpoints":[[37.8874,324.9256],[36.0113,216.0939]],"vertex":[133.65,271.32]},{"angle_degrees":38.156722,"arc_sweep_degrees":38.156722,"ray_endpoints":[[340.7519,357.433],[265.1278,347.5601]],"vertex":[361.35,271.32]}],"canvas_size":[495,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0151","image_path":"images/angle_estimation_0151.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0151_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0151_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0151_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0151_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0151_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":151}
+{"angle_1_degrees":110.412564,"angle_2_degrees":71.103563,"angles":[{"angle_degrees":110.412564,"arc_sweep_degrees":110.412564,"ray_endpoints":[[216.9775,279.752],[85.8323,367.6947]],"vertex":[134.46,270.75]},{"angle_degrees":71.103563,"arc_sweep_degrees":71.103563,"ray_endpoints":[[283.7334,275.2245],[322.2915,169.195]],"vertex":[363.54,270.75]}],"canvas_size":[498,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0152","image_path":"images/angle_estimation_0152.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0152_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0152_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0152_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0152_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0152_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":152}
+{"angle_1_degrees":15.980366,"angle_2_degrees":122.574214,"angles":[{"angle_degrees":15.980366,"arc_sweep_degrees":15.980366,"ray_endpoints":[[153.1757,170.2292],[195.4274,148.4813]],"vertex":[129.87,258.78]},{"angle_degrees":122.574214,"arc_sweep_degrees":122.574214,"ray_endpoints":[[264.6901,303.3371],[362.0097,141.6006]],"vertex":[351.13,258.78]}],"canvas_size":[481,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0153","image_path":"images/angle_estimation_0153.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0153_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0153_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0153_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0153_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0153_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":153}
+{"angle_1_degrees":80.9959,"angle_2_degrees":10.84413,"angles":[{"angle_degrees":80.9959,"arc_sweep_degrees":80.9959,"ray_endpoints":[[41.7611,326.603],[45.6423,173.9658]],"vertex":[125.01,285.0]},{"angle_degrees":10.84413,"arc_sweep_degrees":10.84413,"ray_endpoints":[[346.8202,184.3374],[373.0496,161.5735]],"vertex":[337.99,285.0]}],"canvas_size":[463,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0154","image_path":"images/angle_estimation_0154.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0154_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0154_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0154_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0154_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0154_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":154}
+{"angle_1_degrees":76.628064,"angle_2_degrees":95.624813,"angles":[{"angle_degrees":76.628064,"arc_sweep_degrees":76.628064,"ray_endpoints":[[169.6817,375.1296],[25.4845,346.7826]],"vertex":[131.49,274.74]},{"angle_degrees":95.624813,"arc_sweep_degrees":95.624813,"ray_endpoints":[[467.893,291.5019],[329.31,378.9855]],"vertex":[355.51,274.74]}],"canvas_size":[487,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0155","image_path":"images/angle_estimation_0155.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0155_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0155_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0155_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0155_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0155_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":155}
+{"canvas_size":[481,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0156","image_path":"images/angle_estimation_0156.png","interior_angles_degrees":[89.444418,32.13553,58.420052],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0156_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0156_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0156_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0156_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0156_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":156,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,368.8188],[426.0,368.8188],[57.2462,137.1812]]}
+{"canvas_size":[489,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0157","image_path":"images/angle_estimation_0157.png","interior_angles_degrees":[88.936134,41.597477,49.466389],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0157_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0157_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0157_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0157_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0157_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":157,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,421.0026],[434.0,421.0026],[61.1468,89.9974]]}
+{"canvas_size":[493,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0158","image_path":"images/angle_estimation_0158.png","interior_angles_degrees":[89.125293,33.015833,57.858873],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0158_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0158_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0158_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0158_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0158_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":158,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,370.2144],[438.0,370.2144],[58.7624,123.7856]]}
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+{"canvas_size":[457,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0160","image_path":"images/angle_estimation_0160.png","interior_angles_degrees":[89.283686,44.722074,45.99424],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0160_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0160_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0160_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0160_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0160_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":160,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,425.7234],[402.0,425.7234],[59.244,86.2766]]}
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+{"angle_1_degrees":52.469046,"angle_2_degrees":29.458251,"angles":[{"angle_degrees":52.469046,"arc_sweep_degrees":52.469046,"ray_endpoints":[[224.1428,210.129],[234.8425,303.4378]],"vertex":[135.0,269.04]},{"angle_degrees":29.458251,"arc_sweep_degrees":29.458251,"ray_endpoints":[[278.3662,259.4027],[263.6621,195.9371]],"vertex":[365.0,269.04]}],"canvas_size":[500,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0170","image_path":"images/angle_estimation_0170.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0170_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0170_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0170_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0170_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0170_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":170}
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+{"angle_1_degrees":128.51019,"angle_2_degrees":158.101768,"angles":[{"angle_degrees":128.51019,"arc_sweep_degrees":128.51019,"ray_endpoints":[[216.9481,236.4925],[81.8342,377.2828]],"vertex":[127.44,263.34]},{"angle_degrees":158.101768,"arc_sweep_degrees":158.101768,"ray_endpoints":[[420.0734,201.0292],[280.9606,380.1175]],"vertex":[344.56,263.34]}],"canvas_size":[472,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0172","image_path":"images/angle_estimation_0172.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0172_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0172_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0172_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0172_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0172_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":172}
+{"angle_1_degrees":60.292076,"angle_2_degrees":25.71403,"angles":[{"angle_degrees":60.292076,"arc_sweep_degrees":60.292076,"ray_endpoints":[[111.4543,363.301],[16.6324,314.0355]],"vertex":[126.9,274.17]},{"angle_degrees":25.71403,"arc_sweep_degrees":25.71403,"ray_endpoints":[[275.8796,214.2544],[302.709,177.0144]],"vertex":[343.1,274.17]}],"canvas_size":[470,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0173","image_path":"images/angle_estimation_0173.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0173_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0173_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0173_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0173_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0173_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":173}
+{"angle_1_degrees":20.926115,"angle_2_degrees":147.668297,"angles":[{"angle_degrees":20.926115,"arc_sweep_degrees":20.926115,"ray_endpoints":[[85.1077,202.0627],[106.4521,138.534]],"vertex":[121.5,272.46]},{"angle_degrees":147.668297,"arc_sweep_degrees":147.668297,"ray_endpoints":[[290.8875,341.4274],[320.8404,154.8149]],"vertex":[328.5,272.46]}],"canvas_size":[450,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0174","image_path":"images/angle_estimation_0174.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0174_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0174_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_0174_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0174_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0174_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":174}
+{"angle_1_degrees":18.290661,"angle_2_degrees":101.74645,"angles":[{"angle_degrees":18.290661,"arc_sweep_degrees":18.290661,"ray_endpoints":[[40.4557,204.9978],[52.7537,165.8984]],"vertex":[129.06,265.05]},{"angle_degrees":101.74645,"arc_sweep_degrees":101.74645,"ray_endpoints":[[271.3081,272.306],[362.9434,140.3388]],"vertex":[348.94,265.05]}],"canvas_size":[478,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0175","image_path":"images/angle_estimation_0175.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0175_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0175_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0175_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0175_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0175_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":175}
+{"canvas_size":[451,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0176","image_path":"images/angle_estimation_0176.png","interior_angles_degrees":[107.389851,23.343215,49.266934],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0176_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0176_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0176_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0176_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0176_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":176,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[101.0894,315.0814],[396.0,315.0814],[55.0,167.9186]]}
+{"canvas_size":[463,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0177","image_path":"images/angle_estimation_0177.png","interior_angles_degrees":[106.089519,40.704618,33.205864],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0177_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0177_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0177_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0177_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0177_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":177,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[142.5918,407.3387],[408.0,407.3387],[55.0,103.6613]]}
+{"canvas_size":[457,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0178","image_path":"images/angle_estimation_0178.png","interior_angles_degrees":[125.079671,24.719926,30.200403],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0178_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0178_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0178_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0178_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0178_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":178,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[167.1884,337.3742],[402.0,337.3742],[55.0,177.6258]]}
+{"canvas_size":[462,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0179","image_path":"images/angle_estimation_0179.png","interior_angles_degrees":[100.46049,32.312469,47.227041],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0179_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0179_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0179_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0179_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0179_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":179,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[96.1037,354.8162],[407.0,354.8162],[55.0,132.1838]]}
+{"canvas_size":[459,455],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0180","image_path":"images/angle_estimation_0180.png","interior_angles_degrees":[123.975952,19.297914,36.726133],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0180_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0180_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0180_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0180_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0180_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":180,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[137.3529,303.6019],[404.0,303.6019],[55.0,181.3981]]}
+{"angle_degrees":45.806142,"arc_sweep_degrees":45.806142,"canvas_size":[487,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0181","image_path":"images/angle_estimation_0181.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0181_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_0181_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0181_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"134","question_id":"angle_estimation_0181_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0181_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[293.9871,391.4416],[190.6435,372.6661]],"scene_type":"single","seed":181,"vertex":[243.5,259.0]}
+{"angle_degrees":323.287194,"arc_sweep_degrees":323.287194,"canvas_size":[478,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0182","image_path":"images/angle_estimation_0182.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0182_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_0182_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0182_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"143","question_id":"angle_estimation_0182_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0182_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[269.7248,108.9218],[188.8641,136.7297]],"scene_type":"single","seed":182,"vertex":[239.0,248.0]}
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+{"angle_1_degrees":58.787503,"angle_2_degrees":26.621947,"angles":[{"angle_degrees":58.787503,"arc_sweep_degrees":58.787503,"ray_endpoints":[[120.2006,207.479],[226.7055,206.6551]],"vertex":[129.6,283.29]},{"angle_degrees":26.621947,"arc_sweep_degrees":26.621947,"ray_endpoints":[[258.6346,240.7216],[261.2851,171.2262]],"vertex":[350.4,283.29]}],"canvas_size":[480,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0189","image_path":"images/angle_estimation_0189.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0189_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0189_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0189_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0189_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0189_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":189}
+{"angle_1_degrees":168.35613,"angle_2_degrees":18.901356,"angles":[{"angle_degrees":168.35613,"arc_sweep_degrees":168.35613,"ray_endpoints":[[122.3076,149.7719],[144.5898,367.7142]],"vertex":[122.58,262.2]},{"angle_degrees":18.901356,"arc_sweep_degrees":18.901356,"ray_endpoints":[[429.3831,292.6854],[429.0256,333.6028]],"vertex":[331.42,262.2]}],"canvas_size":[454,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0190","image_path":"images/angle_estimation_0190.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0190_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0190_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"150","question_id":"angle_estimation_0190_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0190_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0190_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":190}
+{"angle_1_degrees":135.930486,"angle_2_degrees":149.426161,"angles":[{"angle_degrees":135.930486,"arc_sweep_degrees":135.930486,"ray_endpoints":[[56.1099,329.9695],[155.6578,166.5572]],"vertex":[134.46,275.31]},{"angle_degrees":149.426161,"arc_sweep_degrees":149.426161,"ray_endpoints":[[288.3292,208.5308],[485.4168,299.0619]],"vertex":[363.54,275.31]}],"canvas_size":[498,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0191","image_path":"images/angle_estimation_0191.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0191_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0191_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0191_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0191_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0191_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":191}
+{"angle_1_degrees":23.934435,"angle_2_degrees":59.12325,"angles":[{"angle_degrees":23.934435,"arc_sweep_degrees":23.934435,"ray_endpoints":[[112.0772,357.9781],[49.3046,384.8087]],"vertex":[127.71,267.33]},{"angle_degrees":59.12325,"arc_sweep_degrees":59.12325,"ray_endpoints":[[404.3557,327.5647],[316.7816,376.1162]],"vertex":[345.29,267.33]}],"canvas_size":[473,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0192","image_path":"images/angle_estimation_0192.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0192_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0192_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0192_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0192_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0192_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":192}
+{"angle_1_degrees":44.48821,"angle_2_degrees":145.047109,"angles":[{"angle_degrees":44.48821,"arc_sweep_degrees":44.48821,"ray_endpoints":[[88.4747,358.1504],[21.0647,310.8504]],"vertex":[130.95,273.03]},{"angle_degrees":145.047109,"arc_sweep_degrees":145.047109,"ray_endpoints":[[364.2526,361.2359],[261.0231,168.0701]],"vertex":[354.05,273.03]}],"canvas_size":[485,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0193","image_path":"images/angle_estimation_0193.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0193_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0193_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_0193_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0193_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0193_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":193}
+{"angle_1_degrees":139.841675,"angle_2_degrees":128.413837,"angles":[{"angle_degrees":139.841675,"arc_sweep_degrees":139.841675,"ray_endpoints":[[45.0515,290.9744],[198.9215,139.9369]],"vertex":[131.76,258.78]},{"angle_degrees":128.413837,"arc_sweep_degrees":128.413837,"ray_endpoints":[[276.1669,304.528],[374.5424,138.7994]],"vertex":[356.24,258.78]}],"canvas_size":[488,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0194","image_path":"images/angle_estimation_0194.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0194_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0194_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0194_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0194_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0194_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":194}
+{"angle_1_degrees":48.639958,"angle_2_degrees":39.324437,"angles":[{"angle_degrees":48.639958,"arc_sweep_degrees":48.639958,"ray_endpoints":[[92.0276,178.0053],[183.8887,161.2109]],"vertex":[131.76,270.75]},{"angle_degrees":39.324437,"arc_sweep_degrees":39.324437,"ray_endpoints":[[372.7879,188.6257],[452.8337,191.7365]],"vertex":[356.24,270.75]}],"canvas_size":[488,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0195","image_path":"images/angle_estimation_0195.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0195_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0195_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0195_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0195_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0195_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":195}
+{"canvas_size":[491,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0196","image_path":"images/angle_estimation_0196.png","interior_angles_degrees":[65.528733,53.785881,60.685387],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0196_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0196_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0196_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0196_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0196_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":196,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,416.4361],[436.0,416.4361],[201.0356,95.5639]]}
+{"canvas_size":[484,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0197","image_path":"images/angle_estimation_0197.png","interior_angles_degrees":[42.697871,52.733931,84.568197],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0197_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0197_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0197_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0197_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0197_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":197,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,341.3753],[429.0,341.3753],[274.7351,138.6247]]}
+{"canvas_size":[453,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0198","image_path":"images/angle_estimation_0198.png","interior_angles_degrees":[45.328872,59.887148,74.78398],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0198_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0198_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0198_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0198_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0198_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":198,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,367.3356],[398.0,367.3356],[271.1752,148.6644]]}
+{"canvas_size":[472,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0199","image_path":"images/angle_estimation_0199.png","interior_angles_degrees":[51.134681,66.473435,62.391884],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0199_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0199_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0199_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0199_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0199_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":199,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,409.3192],[417.0,409.3192],[290.0312,117.6808]]}
+{"canvas_size":[452,463],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0200","image_path":"images/angle_estimation_0200.png","interior_angles_degrees":[43.001979,54.055328,82.942692],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0200_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0200_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0200_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0200_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0200_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":200,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,341.6394],[397.0,341.6394],[259.0349,151.3606]]}
+{"angle_degrees":120.703841,"arc_sweep_degrees":120.703841,"canvas_size":[454,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0201","image_path":"images/angle_estimation_0201.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0201_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_0201_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0201_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"59","question_id":"angle_estimation_0201_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0201_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[229.1184,134.3342],[330.8013,323.5426]],"scene_type":"single","seed":201,"vertex":[227.0,259.5]}
+{"angle_degrees":229.225455,"arc_sweep_degrees":229.225455,"canvas_size":[498,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0202","image_path":"images/angle_estimation_0202.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0202_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_0202_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0202_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"49","question_id":"angle_estimation_0202_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0202_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[184.3456,118.6854],[203.6345,356.7225]],"scene_type":"single","seed":202,"vertex":[249.0,249.0]}
+{"angle_degrees":296.316715,"arc_sweep_degrees":296.316715,"canvas_size":[455,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0203","image_path":"images/angle_estimation_0203.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0203_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_0203_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0203_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"116","question_id":"angle_estimation_0203_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0203_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[256.2505,85.6668],[133.4602,167.1239]],"scene_type":"single","seed":203,"vertex":[227.5,238.0]}
+{"angle_degrees":324.539767,"arc_sweep_degrees":324.539767,"canvas_size":[475,455],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0204","image_path":"images/angle_estimation_0204.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0204_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_0204_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0204_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"145","question_id":"angle_estimation_0204_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0204_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[325.183,136.2316],[248.5187,110.274]],"scene_type":"single","seed":204,"vertex":[237.5,239.5]}
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+{"angle_degrees":237.482182,"arc_sweep_degrees":237.482182,"canvas_size":[482,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0207","image_path":"images/angle_estimation_0207.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0207_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_0207_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0207_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"57","question_id":"angle_estimation_0207_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0207_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[330.8663,399.558],[291.1362,150.8406]],"scene_type":"single","seed":207,"vertex":[241.0,258.0]}
+{"angle_degrees":28.988267,"arc_sweep_degrees":28.988267,"canvas_size":[467,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0208","image_path":"images/angle_estimation_0208.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0208_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_0208_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0208_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"151","question_id":"angle_estimation_0208_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0208_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[82.4371,187.4412],[160.4645,157.9469]],"scene_type":"single","seed":208,"vertex":[233.5,253.5]}
+{"angle_1_degrees":13.737735,"angle_2_degrees":164.475608,"angles":[{"angle_degrees":13.737735,"arc_sweep_degrees":13.737735,"ray_endpoints":[[166.5033,359.2297],[154.8775,408.9253]],"vertex":[130.95,280.44]},{"angle_degrees":164.475608,"arc_sweep_degrees":164.475608,"ray_endpoints":[[315.9793,361.5687],[376.3487,148.8053]],"vertex":[354.05,280.44]}],"canvas_size":[485,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0209","image_path":"images/angle_estimation_0209.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0209_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0209_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"150","question_id":"angle_estimation_0209_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0209_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0209_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":209}
+{"angle_1_degrees":74.856458,"angle_2_degrees":36.912746,"angles":[{"angle_degrees":74.856458,"arc_sweep_degrees":74.856458,"ray_endpoints":[[201.3986,275.3505],[129.4934,373.0908]],"vertex":[127.98,256.5]},{"angle_degrees":36.912746,"arc_sweep_degrees":36.912746,"ray_endpoints":[[403.1598,313.1029],[364.4227,381.7626]],"vertex":[346.02,256.5]}],"canvas_size":[474,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0210","image_path":"images/angle_estimation_0210.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0210_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0210_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0210_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0210_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0210_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":210}
+{"angle_1_degrees":72.350973,"angle_2_degrees":27.428257,"angles":[{"angle_degrees":72.350973,"arc_sweep_degrees":72.350973,"ray_endpoints":[[209.2768,262.18],[186.6801,401.8068]],"vertex":[131.22,269.04]},{"angle_degrees":27.428257,"arc_sweep_degrees":27.428257,"ray_endpoints":[[430.0037,287.9841],[455.5782,358.4181]],"vertex":[354.78,269.04]}],"canvas_size":[486,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0211","image_path":"images/angle_estimation_0211.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0211_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0211_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0211_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0211_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0211_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":211}
+{"angle_1_degrees":133.949914,"angle_2_degrees":35.643093,"angles":[{"angle_degrees":133.949914,"arc_sweep_degrees":133.949914,"ray_endpoints":[[159.89,366.3225],[30.527,234.2257]],"vertex":[128.25,278.16]},{"angle_degrees":35.643093,"arc_sweep_degrees":35.643093,"ray_endpoints":[[262.5546,250.4048],[272.8464,176.8574]],"vertex":[346.75,278.16]}],"canvas_size":[475,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0212","image_path":"images/angle_estimation_0212.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0212_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0212_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_0212_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0212_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0212_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":212}
+{"angle_1_degrees":45.279664,"angle_2_degrees":13.183965,"angles":[{"angle_degrees":45.279664,"arc_sweep_degrees":45.279664,"ray_endpoints":[[33.0892,259.1423],[48.2955,171.259]],"vertex":[123.93,271.32]},{"angle_degrees":13.183965,"arc_sweep_degrees":13.183965,"ray_endpoints":[[358.4505,190.9034],[393.2144,168.1107]],"vertex":[335.07,271.32]}],"canvas_size":[459,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0213","image_path":"images/angle_estimation_0213.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0213_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0213_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0213_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0213_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0213_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":213}
+{"angle_1_degrees":45.769366,"angle_2_degrees":54.408077,"angles":[{"angle_degrees":45.769366,"arc_sweep_degrees":45.769366,"ray_endpoints":[[47.8641,261.3032],[63.1218,164.6831]],"vertex":[130.41,282.72]},{"angle_degrees":54.408077,"arc_sweep_degrees":54.408077,"ray_endpoints":[[430.2512,278.672],[441.402,394.0697]],"vertex":[352.59,282.72]}],"canvas_size":[483,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0214","image_path":"images/angle_estimation_0214.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0214_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0214_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0214_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0214_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0214_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":214}
+{"angle_1_degrees":157.063049,"angle_2_degrees":25.912859,"angles":[{"angle_degrees":157.063049,"arc_sweep_degrees":157.063049,"ray_endpoints":[[205.8052,300.7371],[14.8392,295.4781]],"vertex":[122.04,279.3]},{"angle_degrees":25.912859,"arc_sweep_degrees":25.912859,"ray_endpoints":[[363.5469,195.7587],[427.7492,190.6766]],"vertex":[329.96,279.3]}],"canvas_size":[452,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0215","image_path":"images/angle_estimation_0215.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0215_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0215_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_0215_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0215_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0215_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":215}
+{"canvas_size":[463,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0216","image_path":"images/angle_estimation_0216.png","interior_angles_degrees":[89.95794,32.843667,57.198393],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0216_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0216_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0216_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0216_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0216_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":216,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,374.383],[408.0,374.383],[55.1672,146.617]]}
+{"canvas_size":[468,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0217","image_path":"images/angle_estimation_0217.png","interior_angles_degrees":[90.430043,35.723034,53.846923],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0217_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0217_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0217_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0217_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0217_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":217,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.9325,376.2337],[413.0,376.2337],[55.0,118.7663]]}
+{"canvas_size":[469,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0218","image_path":"images/angle_estimation_0218.png","interior_angles_degrees":[90.985761,42.77813,46.236109],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0218_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0218_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0218_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0218_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0218_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":218,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[60.7157,411.5916],[414.0,411.5916],[55.0,79.4084]]}
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+{"angle_degrees":114.082961,"arc_sweep_degrees":114.082961,"canvas_size":[499,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0222","image_path":"images/angle_estimation_0222.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0222_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_0222_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0222_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"66","question_id":"angle_estimation_0222_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0222_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[241.7215,113.7798],[360.3422,281.5668]],"scene_type":"single","seed":222,"vertex":[249.5,240.0]}
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+{"angle_degrees":168.011744,"arc_sweep_degrees":168.011744,"canvas_size":[454,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0224","image_path":"images/angle_estimation_0224.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0224_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_0224_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0224_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"12","question_id":"angle_estimation_0224_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0224_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[368.2342,345.6289],[77.8362,176.5379]],"scene_type":"single","seed":224,"vertex":[227.0,243.0]}
+{"angle_degrees":44.999989,"arc_sweep_degrees":44.999989,"canvas_size":[494,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0225","image_path":"images/angle_estimation_0225.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0225_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_0225_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0225_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"135","question_id":"angle_estimation_0225_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0225_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[198.7094,90.4948],[321.1031,102.696]],"scene_type":"single","seed":225,"vertex":[247.0,244.5]}
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+{"angle_1_degrees":26.572416,"angle_2_degrees":55.887434,"angles":[{"angle_degrees":26.572416,"arc_sweep_degrees":26.572416,"ray_endpoints":[[45.134,330.6344],[28.8234,282.8351]],"vertex":[133.65,262.2]},{"angle_degrees":55.887434,"arc_sweep_degrees":55.887434,"ray_endpoints":[[459.5263,244.8546],[449.8716,353.4453]],"vertex":[361.35,262.2]}],"canvas_size":[495,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0230","image_path":"images/angle_estimation_0230.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0230_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0230_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0230_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0230_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0230_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":230}
+{"angle_1_degrees":132.430922,"angle_2_degrees":57.113524,"angles":[{"angle_degrees":132.430922,"arc_sweep_degrees":132.430922,"ray_endpoints":[[195.8016,330.1325],[12.2223,269.7851]],"vertex":[121.77,261.06]},{"angle_degrees":57.113524,"arc_sweep_degrees":57.113524,"ray_endpoints":[[438.104,273.8839],[390.8166,386.393]],"vertex":[329.23,261.06]}],"canvas_size":[451,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0231","image_path":"images/angle_estimation_0231.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0231_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0231_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0231_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0231_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0231_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":231}
+{"angle_1_degrees":47.313839,"angle_2_degrees":22.877444,"angles":[{"angle_degrees":47.313839,"arc_sweep_degrees":47.313839,"ray_endpoints":[[105.1495,367.6793],[27.4323,321.2608]],"vertex":[126.09,260.49]},{"angle_degrees":22.877444,"arc_sweep_degrees":22.877444,"ray_endpoints":[[421.9824,338.7552],[388.7348,372.441]],"vertex":[340.91,260.49]}],"canvas_size":[467,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0232","image_path":"images/angle_estimation_0232.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0232_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0232_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0232_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0232_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0232_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":232}
+{"angle_1_degrees":37.895663,"angle_2_degrees":46.929024,"angles":[{"angle_degrees":37.895663,"arc_sweep_degrees":37.895663,"ray_endpoints":[[227.5409,333.7558],[180.9709,396.9702]],"vertex":[133.11,279.3]},{"angle_degrees":46.929024,"arc_sweep_degrees":46.929024,"ray_endpoints":[[437.7069,265.152],[451.668,347.5214]],"vertex":[359.89,279.3]}],"canvas_size":[493,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0233","image_path":"images/angle_estimation_0233.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0233_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0233_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0233_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0233_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0233_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":233}
+{"angle_1_degrees":72.364414,"angle_2_degrees":119.534787,"angles":[{"angle_degrees":72.364414,"arc_sweep_degrees":72.364414,"ray_endpoints":[[217.1389,275.864],[150.4592,383.8914]],"vertex":[127.17,265.62]},{"angle_degrees":119.534787,"arc_sweep_degrees":119.534787,"ray_endpoints":[[313.8311,180.5922],[451.5783,284.8154]],"vertex":[343.83,265.62]}],"canvas_size":[471,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0234","image_path":"images/angle_estimation_0234.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0234_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0234_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0234_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0234_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0234_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":234}
+{"angle_1_degrees":92.35321,"angle_2_degrees":15.944911,"angles":[{"angle_degrees":92.35321,"arc_sweep_degrees":92.35321,"ray_endpoints":[[185.5792,230.6515],[194.7818,364.4299]],"vertex":[127.44,282.72]},{"angle_degrees":15.944911,"arc_sweep_degrees":15.944911,"ray_endpoints":[[383.4231,216.0184],[422.1102,208.2786]],"vertex":[344.56,282.72]}],"canvas_size":[472,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0235","image_path":"images/angle_estimation_0235.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0235_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0235_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0235_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0235_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0235_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":235}
+{"canvas_size":[493,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0236","image_path":"images/angle_estimation_0236.png","interior_angles_degrees":[128.755028,18.315487,32.929485],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0236_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0236_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0236_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0236_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0236_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":236,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[156.77,314.89],[438.0,314.89],[55.0,188.11]]}
+{"canvas_size":[489,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0237","image_path":"images/angle_estimation_0237.png","interior_angles_degrees":[138.748617,18.844191,22.407192],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0237_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0237_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0237_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0237_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0237_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":237,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[202.4864,320.1742],[434.0,320.1742],[55.0,190.8258]]}
+{"canvas_size":[500,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0238","image_path":"images/angle_estimation_0238.png","interior_angles_degrees":[128.212708,21.451747,30.335545],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0238_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0238_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0238_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0238_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0238_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":238,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[175.6476,328.1229],[445.0,328.1229],[55.0,174.8771]]}
+{"canvas_size":[457,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0239","image_path":"images/angle_estimation_0239.png","interior_angles_degrees":[104.292443,23.496015,52.211542],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0239_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0239_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0239_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0239_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0239_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":239,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[93.4303,321.4256],[402.0,321.4256],[55.0,170.5744]]}
+{"canvas_size":[489,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0240","image_path":"images/angle_estimation_0240.png","interior_angles_degrees":[138.063847,18.757975,23.178177],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0240_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0240_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0240_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0240_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0240_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":240,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[198.2699,305.856],[434.0,305.856],[55.0,177.144]]}
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+{"angle_1_degrees":33.871427,"angle_2_degrees":65.149389,"angles":[{"angle_degrees":33.871427,"arc_sweep_degrees":33.871427,"ray_endpoints":[[160.4439,387.1419],[92.2915,391.9795]],"vertex":[126.09,277.59]},{"angle_degrees":65.149389,"arc_sweep_degrees":65.149389,"ray_endpoints":[[425.4173,314.7631],[343.6338,418.5678]],"vertex":[340.91,277.59]}],"canvas_size":[467,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0249","image_path":"images/angle_estimation_0249.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0249_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0249_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0249_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0249_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0249_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":249}
+{"angle_1_degrees":35.424935,"angle_2_degrees":140.973497,"angles":[{"angle_degrees":35.424935,"arc_sweep_degrees":35.424935,"ray_endpoints":[[37.5872,287.988],[25.6336,223.8312]],"vertex":[127.98,270.75]},{"angle_degrees":140.973497,"arc_sweep_degrees":140.973497,"ray_endpoints":[[391.4301,200.6211],[359.6398,398.141]],"vertex":[346.02,270.75]}],"canvas_size":[474,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0250","image_path":"images/angle_estimation_0250.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0250_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0250_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0250_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0250_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0250_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":250}
+{"angle_1_degrees":88.252343,"angle_2_degrees":51.973436,"angles":[{"angle_degrees":88.252343,"arc_sweep_degrees":88.252343,"ray_endpoints":[[17.925,271.887],[134.666,159.4641]],"vertex":[129.06,280.44]},{"angle_degrees":51.973436,"arc_sweep_degrees":51.973436,"ray_endpoints":[[262.8147,221.2462],[340.0234,135.7275]],"vertex":[348.94,280.44]}],"canvas_size":[478,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0251","image_path":"images/angle_estimation_0251.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0251_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0251_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0251_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0251_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0251_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":251}
+{"angle_1_degrees":59.080748,"angle_2_degrees":22.262682,"angles":[{"angle_degrees":59.080748,"arc_sweep_degrees":59.080748,"ray_endpoints":[[187.9907,342.9942],[99.0481,379.8875]],"vertex":[134.73,278.73]},{"angle_degrees":22.262682,"arc_sweep_degrees":22.262682,"ray_endpoints":[[368.0672,393.2961],[317.3434,405.1525]],"vertex":[364.27,278.73]}],"canvas_size":[499,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0252","image_path":"images/angle_estimation_0252.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0252_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0252_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0252_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0252_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0252_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":252}
+{"angle_1_degrees":69.450134,"angle_2_degrees":111.221512,"angles":[{"angle_degrees":69.450134,"arc_sweep_degrees":69.450134,"ray_endpoints":[[62.4622,324.8255],[36.8338,213.0765]],"vertex":[130.68,275.88]},{"angle_degrees":111.221512,"arc_sweep_degrees":111.221512,"ray_endpoints":[[301.9666,342.6469],[291.099,173.1935]],"vertex":[353.32,275.88]}],"canvas_size":[484,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0253","image_path":"images/angle_estimation_0253.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0253_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0253_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0253_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0253_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0253_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":253}
+{"angle_1_degrees":37.724927,"angle_2_degrees":13.307329,"angles":[{"angle_degrees":37.724927,"arc_sweep_degrees":37.724927,"ray_endpoints":[[77.0146,216.0175],[120.2171,135.4541]],"vertex":[127.71,274.74]},{"angle_degrees":13.307329,"arc_sweep_degrees":13.307329,"ray_endpoints":[[288.3912,361.6906],[265.6349,350.3106]],"vertex":[345.29,274.74]}],"canvas_size":[473,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0254","image_path":"images/angle_estimation_0254.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0254_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0254_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0254_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0254_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0254_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":254}
+{"angle_1_degrees":76.90467,"angle_2_degrees":25.047127,"angles":[{"angle_degrees":76.90467,"arc_sweep_degrees":76.90467,"ray_endpoints":[[36.0197,304.4628],[40.265,155.2173]],"vertex":[122.31,267.9]},{"angle_degrees":25.047127,"arc_sweep_degrees":25.047127,"ray_endpoints":[[360.0183,170.4543],[411.2665,177.7718]],"vertex":[330.69,267.9]}],"canvas_size":[453,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0255","image_path":"images/angle_estimation_0255.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0255_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0255_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0255_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0255_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0255_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":255}
+{"canvas_size":[481,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0256","image_path":"images/angle_estimation_0256.png","interior_angles_degrees":[50.002892,47.467228,82.52988],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0256_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0256_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0256_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0256_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0256_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":256,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,355.1139],[426.0,355.1139],[232.223,143.8861]]}
+{"canvas_size":[470,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0257","image_path":"images/angle_estimation_0257.png","interior_angles_degrees":[59.533271,64.284704,56.182025],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0257_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0257_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0257_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0257_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0257_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":257,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,421.2464],[415.0,421.2464],[252.9463,84.7536]]}
+{"canvas_size":[491,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0258","image_path":"images/angle_estimation_0258.png","interior_angles_degrees":[59.545735,49.004857,71.449408],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0258_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0258_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0258_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0258_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0258_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":258,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,372.7384],[436.0,372.7384],[208.7406,111.2616]]}
+{"canvas_size":[452,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0259","image_path":"images/angle_estimation_0259.png","interior_angles_degrees":[61.686334,62.344696,55.96897],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0259_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0259_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0259_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0259_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0259_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":259,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,418.4004],[397.0,418.4004],[228.3709,96.5996]]}
+{"canvas_size":[463,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0260","image_path":"images/angle_estimation_0260.png","interior_angles_degrees":[60.704393,41.327114,77.968493],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0260_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0260_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0260_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0260_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0260_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":260,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,345.9297],[408.0,345.9297],[171.6243,138.0703]]}
+{"angle_degrees":69.66888,"arc_sweep_degrees":69.66888,"canvas_size":[477,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0261","image_path":"images/angle_estimation_0261.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0261_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_0261_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0261_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"110","question_id":"angle_estimation_0261_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0261_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[132.8738,167.2213],[274.0682,87.1157]],"scene_type":"single","seed":261,"vertex":[238.5,237.5]}
+{"angle_degrees":191.673111,"arc_sweep_degrees":191.673111,"canvas_size":[470,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0262","image_path":"images/angle_estimation_0262.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0262_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0262_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0262_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"12","question_id":"angle_estimation_0262_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0262_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[160.3488,389.1965],[319.6164,166.6476]],"scene_type":"single","seed":262,"vertex":[235.0,261.0]}
+{"angle_degrees":338.200564,"arc_sweep_degrees":338.200564,"canvas_size":[497,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0263","image_path":"images/angle_estimation_0263.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0263_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_0263_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0263_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"158","question_id":"angle_estimation_0263_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0263_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[113.4108,157.9983],[122.6197,226.031]],"scene_type":"single","seed":263,"vertex":[248.5,261.0]}
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+{"angle_degrees":60.00001,"arc_sweep_degrees":60.00001,"canvas_size":[475,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0265","image_path":"images/angle_estimation_0265.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0265_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_0265_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0265_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_0265_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0265_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[278.2931,395.506],[123.2311,369.7861]],"scene_type":"single","seed":265,"vertex":[237.5,252.0]}
+{"angle_degrees":241.761997,"arc_sweep_degrees":241.761997,"canvas_size":[454,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0266","image_path":"images/angle_estimation_0266.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0266_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_0266_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0266_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"62","question_id":"angle_estimation_0266_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0266_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[103.1058,214.5613],[254.4083,400.7326]],"scene_type":"single","seed":266,"vertex":[227.0,254.0]}
+{"angle_degrees":161.233046,"arc_sweep_degrees":161.233046,"canvas_size":[462,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0267","image_path":"images/angle_estimation_0267.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0267_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_0267_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0267_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"19","question_id":"angle_estimation_0267_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0267_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[97.1296,189.6387],[342.1655,239.258]],"scene_type":"single","seed":267,"vertex":[231.0,237.5]}
+{"angle_degrees":200.712823,"arc_sweep_degrees":200.712823,"canvas_size":[498,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0268","image_path":"images/angle_estimation_0268.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0268_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0268_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0268_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"21","question_id":"angle_estimation_0268_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0268_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[340.9827,341.6639],[192.6022,136.6271]],"scene_type":"single","seed":268,"vertex":[249.0,254.0]}
+{"angle_1_degrees":46.226181,"angle_2_degrees":143.594408,"angles":[{"angle_degrees":46.226181,"arc_sweep_degrees":46.226181,"ray_endpoints":[[15.9516,263.8019],[39.168,180.8778]],"vertex":[122.04,257.07]},{"angle_degrees":143.594408,"arc_sweep_degrees":143.594408,"ray_endpoints":[[384.9861,179.9584],[332.155,397.6871]],"vertex":[329.96,257.07]}],"canvas_size":[452,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0269","image_path":"images/angle_estimation_0269.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0269_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0269_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_0269_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0269_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0269_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":269}
+{"angle_1_degrees":140.124238,"angle_2_degrees":126.891016,"angles":[{"angle_degrees":140.124238,"arc_sweep_degrees":140.124238,"ray_endpoints":[[188.5961,184.2644],[129.5838,374.691]],"vertex":[124.47,269.04]},{"angle_degrees":126.891016,"arc_sweep_degrees":126.891016,"ray_endpoints":[[262.9816,247.3117],[446.8775,186.9382]],"vertex":[336.53,269.04]}],"canvas_size":[461,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0270","image_path":"images/angle_estimation_0270.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0270_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0270_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0270_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0270_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0270_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":270}
+{"angle_1_degrees":73.044114,"angle_2_degrees":24.660116,"angles":[{"angle_degrees":73.044114,"arc_sweep_degrees":73.044114,"ray_endpoints":[[221.9273,216.5609],[216.4002,349.1755]],"vertex":[129.6,279.87]},{"angle_degrees":24.660116,"arc_sweep_degrees":24.660116,"ray_endpoints":[[359.5379,196.7911],[415.5538,171.1648]],"vertex":[350.4,279.87]}],"canvas_size":[480,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0271","image_path":"images/angle_estimation_0271.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0271_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0271_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0271_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0271_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0271_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":271}
+{"angle_1_degrees":20.004908,"angle_2_degrees":150.415579,"angles":[{"angle_degrees":20.004908,"arc_sweep_degrees":20.004908,"ray_endpoints":[[57.0983,218.1124],[46.9882,150.6611]],"vertex":[129.6,269.04]},{"angle_degrees":150.415579,"arc_sweep_degrees":150.415579,"ray_endpoints":[[254.1602,263.5188],[450.9769,219.3296]],"vertex":[350.4,269.04]}],"canvas_size":[480,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0272","image_path":"images/angle_estimation_0272.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0272_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0272_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_0272_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0272_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0272_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":272}
+{"angle_1_degrees":111.328409,"angle_2_degrees":48.294645,"angles":[{"angle_degrees":111.328409,"arc_sweep_degrees":111.328409,"ray_endpoints":[[182.9882,193.9817],[197.7594,385.8821]],"vertex":[124.74,280.44]},{"angle_degrees":48.294645,"arc_sweep_degrees":48.294645,"ray_endpoints":[[283.5999,201.3079],[367.9955,158.5554]],"vertex":[337.26,280.44]}],"canvas_size":[462,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0273","image_path":"images/angle_estimation_0273.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0273_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0273_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0273_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0273_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0273_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":273}
+{"angle_1_degrees":69.119788,"angle_2_degrees":17.09438,"angles":[{"angle_degrees":69.119788,"arc_sweep_degrees":69.119788,"ray_endpoints":[[141.5336,354.5458],[13.8042,344.7278]],"vertex":[123.93,273.03]},{"angle_degrees":17.09438,"arc_sweep_degrees":17.09438,"ray_endpoints":[[243.0378,220.6142],[243.078,175.2139]],"vertex":[335.07,273.03]}],"canvas_size":[459,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0274","image_path":"images/angle_estimation_0274.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0274_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0274_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0274_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0274_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0274_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":274}
+{"angle_1_degrees":101.320419,"angle_2_degrees":69.406523,"angles":[{"angle_degrees":101.320419,"arc_sweep_degrees":101.320419,"ray_endpoints":[[91.6134,336.0086],[49.666,187.0664]],"vertex":[134.46,260.49]},{"angle_degrees":69.406523,"arc_sweep_degrees":69.406523,"ray_endpoints":[[290.2839,192.3219],[416.6134,131.3796]],"vertex":[363.54,260.49]}],"canvas_size":[498,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0275","image_path":"images/angle_estimation_0275.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0275_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0275_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0275_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0275_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0275_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":275}
+{"canvas_size":[473,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0276","image_path":"images/angle_estimation_0276.png","interior_angles_degrees":[90.580885,52.515544,36.903571],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0276_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0276_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0276_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0276_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0276_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":276,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[104.3485,419.0],[372.2406,419.0],[100.7594,65.0]]}
+{"canvas_size":[455,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0277","image_path":"images/angle_estimation_0277.png","interior_angles_degrees":[88.987437,44.632505,46.380058],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0277_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0277_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0277_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0277_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0277_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":277,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,412.8806],[400.0,412.8806],[60.9167,78.1194]]}
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+{"canvas_size":[476,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0279","image_path":"images/angle_estimation_0279.png","interior_angles_degrees":[89.014723,29.475209,61.510068],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0279_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0279_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0279_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0279_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0279_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":279,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,353.4362],[421.0,353.4362],[58.5234,148.5638]]}
+{"canvas_size":[469,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0280","image_path":"images/angle_estimation_0280.png","interior_angles_degrees":[90.87435,40.044666,49.080983],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0280_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0280_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0280_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0280_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0280_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":280,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[59.6046,404.857],[414.0,404.857],[55.0,103.143]]}
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+{"angle_degrees":329.553776,"arc_sweep_degrees":329.553776,"canvas_size":[492,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0282","image_path":"images/angle_estimation_0282.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0282_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_0282_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0282_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_0282_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0282_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[184.9651,102.0757],[116.5673,146.1122]],"scene_type":"single","seed":282,"vertex":[246.0,238.0]}
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+{"angle_degrees":135.564936,"arc_sweep_degrees":135.564936,"canvas_size":[452,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0284","image_path":"images/angle_estimation_0284.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0284_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_0284_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0284_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"44","question_id":"angle_estimation_0284_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0284_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[57.5107,242.8239],[315.1141,160.8596]],"scene_type":"single","seed":284,"vertex":[226.0,245.5]}
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+{"angle_1_degrees":80.86722,"angle_2_degrees":135.302987,"angles":[{"angle_degrees":80.86722,"arc_sweep_degrees":80.86722,"ray_endpoints":[[223.0775,282.1498],[132.1937,386.7853]],"vertex":[134.46,266.19]},{"angle_degrees":135.302987,"arc_sweep_degrees":135.302987,"ray_endpoints":[[454.8006,288.9569],[269.1367,322.2187]],"vertex":[363.54,266.19]}],"canvas_size":[498,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0289","image_path":"images/angle_estimation_0289.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0289_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0289_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0289_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0289_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0289_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":289}
+{"angle_1_degrees":39.189554,"angle_2_degrees":54.957591,"angles":[{"angle_degrees":39.189554,"arc_sweep_degrees":39.189554,"ray_endpoints":[[204.1986,347.3507],[139.8865,407.2508]],"vertex":[130.68,268.47]},{"angle_degrees":54.957591,"arc_sweep_degrees":54.957591,"ray_endpoints":[[447.4295,213.2884],[464.6251,319.364]],"vertex":[353.32,268.47]}],"canvas_size":[484,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0290","image_path":"images/angle_estimation_0290.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0290_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0290_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0290_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0290_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0290_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":290}
+{"angle_1_degrees":127.857438,"angle_2_degrees":52.584883,"angles":[{"angle_degrees":127.857438,"arc_sweep_degrees":127.857438,"ray_endpoints":[[233.7549,238.9977],[95.4088,382.7329]],"vertex":[132.84,273.6]},{"angle_degrees":52.584883,"arc_sweep_degrees":52.584883,"ray_endpoints":[[410.4085,370.1599],[304.1833,393.5243]],"vertex":[359.16,273.6]}],"canvas_size":[492,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0291","image_path":"images/angle_estimation_0291.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0291_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0291_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0291_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0291_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0291_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":291}
+{"angle_1_degrees":156.577999,"angle_2_degrees":102.69232,"angles":[{"angle_degrees":156.577999,"arc_sweep_degrees":156.577999,"ray_endpoints":[[213.8109,223.1589],[44.0593,367.2825]],"vertex":[134.73,261.63]},{"angle_degrees":102.69232,"arc_sweep_degrees":102.69232,"ray_endpoints":[[282.5636,219.7468],[447.593,161.7371]],"vertex":[364.27,261.63]}],"canvas_size":[499,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0292","image_path":"images/angle_estimation_0292.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0292_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0292_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0292_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0292_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0292_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":292}
+{"angle_1_degrees":41.5412,"angle_2_degrees":56.21724,"angles":[{"angle_degrees":41.5412,"arc_sweep_degrees":41.5412,"ray_endpoints":[[64.7566,184.457],[140.4603,160.9913]],"vertex":[129.6,273.6]},{"angle_degrees":56.21724,"arc_sweep_degrees":56.21724,"ray_endpoints":[[275.1213,301.187],[263.4031,210.1814]],"vertex":[350.4,273.6]}],"canvas_size":[480,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0293","image_path":"images/angle_estimation_0293.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0293_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0293_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0293_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0293_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0293_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":293}
+{"angle_1_degrees":73.537011,"angle_2_degrees":114.372896,"angles":[{"angle_degrees":73.537011,"arc_sweep_degrees":73.537011,"ray_endpoints":[[211.2028,247.2914],[175.3524,375.9745]],"vertex":[124.47,257.64]},{"angle_degrees":114.372896,"arc_sweep_degrees":114.372896,"ray_endpoints":[[249.8241,248.1946],[397.1913,155.0263]],"vertex":[336.53,257.64]}],"canvas_size":[461,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0294","image_path":"images/angle_estimation_0294.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0294_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0294_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0294_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0294_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0294_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":294}
+{"angle_1_degrees":85.206459,"angle_2_degrees":136.069328,"angles":[{"angle_degrees":85.206459,"arc_sweep_degrees":85.206459,"ray_endpoints":[[211.1874,232.0541],[198.1629,383.3433]],"vertex":[126.36,282.15]},{"angle_degrees":136.069328,"arc_sweep_degrees":136.069328,"ray_endpoints":[[367.6561,200.8865],[400.746,402.3833]],"vertex":[341.64,282.15]}],"canvas_size":[468,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0295","image_path":"images/angle_estimation_0295.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0295_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0295_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0295_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0295_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0295_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":295}
+{"canvas_size":[454,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0296","image_path":"images/angle_estimation_0296.png","interior_angles_degrees":[126.509856,26.640658,26.849486],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0296_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0296_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0296_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0296_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0296_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":296,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[182.7394,334.2839],[399.0,334.2839],[55.0,161.7161]]}
+{"canvas_size":[483,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0297","image_path":"images/angle_estimation_0297.png","interior_angles_degrees":[139.289312,13.081927,27.628761],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0297_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0297_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0297_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0297_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0297_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":297,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[155.7319,294.8379],[428.0,294.8379],[55.0,208.1621]]}
+{"canvas_size":[463,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0298","image_path":"images/angle_estimation_0298.png","interior_angles_degrees":[105.547435,26.240947,48.211618],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0298_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0298_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0298_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0298_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0298_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":298,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[103.4127,344.5055],[408.0,344.5055],[55.0,170.4945]]}
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+{"canvas_size":[488,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0300","image_path":"images/angle_estimation_0300.png","interior_angles_degrees":[98.062792,35.803889,46.133319],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0300_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0300_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0300_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0300_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0300_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":300,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[93.6248,387.3306],[433.0,387.3306],[55.0,114.6694]]}
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+{"angle_degrees":338.716273,"arc_sweep_degrees":338.716273,"canvas_size":[461,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0308","image_path":"images/angle_estimation_0308.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0308_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_0308_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0308_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"159","question_id":"angle_estimation_0308_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0308_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[214.5767,383.375],[269.8145,389.4631]],"scene_type":"single","seed":308,"vertex":[230.5,241.5]}
+{"angle_1_degrees":70.644557,"angle_2_degrees":10.522866,"angles":[{"angle_degrees":70.644557,"arc_sweep_degrees":70.644557,"ray_endpoints":[[46.7943,214.0152],[160.7977,132.0076]],"vertex":[122.58,267.33]},{"angle_degrees":10.522866,"arc_sweep_degrees":10.522866,"ray_endpoints":[[284.6787,333.7337],[256.2413,340.785]],"vertex":[331.42,267.33]}],"canvas_size":[454,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0309","image_path":"images/angle_estimation_0309.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0309_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0309_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0309_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0309_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0309_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":309}
+{"angle_1_degrees":145.793537,"angle_2_degrees":35.786297,"angles":[{"angle_degrees":145.793537,"arc_sweep_degrees":145.793537,"ray_endpoints":[[150.4569,343.5801],[49.8358,183.565]],"vertex":[130.95,258.78]},{"angle_degrees":35.786297,"arc_sweep_degrees":35.786297,"ray_endpoints":[[327.0417,161.811],[392.585,154.1714]],"vertex":[354.05,258.78]}],"canvas_size":[485,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0310","image_path":"images/angle_estimation_0310.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0310_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0310_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0310_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0310_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0310_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":310}
+{"angle_1_degrees":126.00875,"angle_2_degrees":165.406341,"angles":[{"angle_degrees":126.00875,"arc_sweep_degrees":126.00875,"ray_endpoints":[[107.9137,357.8782],[30.0527,162.9485]],"vertex":[125.82,265.62]},{"angle_degrees":165.406341,"arc_sweep_degrees":165.406341,"ray_endpoints":[[322.9638,190.8564],[396.6742,373.861]],"vertex":[340.18,265.62]}],"canvas_size":[466,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0311","image_path":"images/angle_estimation_0311.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0311_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0311_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0311_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0311_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0311_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":311}
+{"angle_1_degrees":34.603033,"angle_2_degrees":61.079126,"angles":[{"angle_degrees":34.603033,"arc_sweep_degrees":34.603033,"ray_endpoints":[[142.5195,152.8402],[225.3437,150.3923]],"vertex":[132.57,261.63]},{"angle_degrees":61.079126,"arc_sweep_degrees":61.079126,"ray_endpoints":[[381.8076,339.7342],[264.8147,357.1734]],"vertex":[358.43,261.63]}],"canvas_size":[491,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0312","image_path":"images/angle_estimation_0312.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0312_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0312_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0312_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0312_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0312_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":312}
+{"angle_1_degrees":149.563799,"angle_2_degrees":40.851945,"angles":[{"angle_degrees":149.563799,"arc_sweep_degrees":149.563799,"ray_endpoints":[[211.2153,272.1262],[22.0361,309.364]],"vertex":[131.22,262.2]},{"angle_degrees":40.851945,"arc_sweep_degrees":40.851945,"ray_endpoints":[[273.0872,217.9774],[311.9307,148.923]],"vertex":[354.78,262.2]}],"canvas_size":[486,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0313","image_path":"images/angle_estimation_0313.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0313_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0313_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0313_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0313_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0313_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":313}
+{"angle_1_degrees":27.834482,"angle_2_degrees":10.422195,"angles":[{"angle_degrees":27.834482,"arc_sweep_degrees":27.834482,"ray_endpoints":[[151.0392,369.6398],[99.7787,384.6421]],"vertex":[124.74,273.03]},{"angle_degrees":10.422195,"arc_sweep_degrees":10.422195,"ray_endpoints":[[272.6724,200.8328],[273.1916,168.0428]],"vertex":[337.26,273.03]}],"canvas_size":[462,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0314","image_path":"images/angle_estimation_0314.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0314_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0314_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0314_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0314_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0314_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":314}
+{"angle_1_degrees":76.225224,"angle_2_degrees":12.441848,"angles":[{"angle_degrees":76.225224,"arc_sweep_degrees":76.225224,"ray_endpoints":[[183.4963,363.1475],[56.5848,360.7874]],"vertex":[128.52,281.58]},{"angle_degrees":12.441848,"arc_sweep_degrees":12.441848,"ray_endpoints":[[417.8928,329.2703],[438.2755,377.4308]],"vertex":[347.48,281.58]}],"canvas_size":[476,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0315","image_path":"images/angle_estimation_0315.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0315_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0315_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0315_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0315_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0315_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":315}
+{"canvas_size":[451,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0316","image_path":"images/angle_estimation_0316.png","interior_angles_degrees":[71.224824,26.974007,81.801169],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0316_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0316_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0316_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0316_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0316_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":316,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,313.9774],[396.0,313.9774],[105.2964,166.0226]]}
+{"canvas_size":[479,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0317","image_path":"images/angle_estimation_0317.png","interior_angles_degrees":[65.28796,46.432498,68.279542],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0317_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0317_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0317_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0317_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0317_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":317,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,371.2204],[424.0,371.2204],[175.3159,109.7796]]}
+{"canvas_size":[494,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0318","image_path":"images/angle_estimation_0318.png","interior_angles_degrees":[55.218657,64.501592,60.279752],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0318_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0318_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0318_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0318_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0318_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":318,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,424.3957],[439.0,424.3957],[282.6627,96.6043]]}
+{"canvas_size":[461,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0319","image_path":"images/angle_estimation_0319.png","interior_angles_degrees":[59.752841,48.702879,71.544281],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0319_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0319_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0319_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0319_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0319_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":319,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,361.0781],[406.0,361.0781],[195.039,120.9219]]}
+{"canvas_size":[478,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0320","image_path":"images/angle_estimation_0320.png","interior_angles_degrees":[56.458989,42.456919,81.084091],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0320_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0320_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0320_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0320_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0320_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":320,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,360.7912],[423.0,360.7912],[193.9354,151.2088]]}
+{"angle_degrees":52.688067,"arc_sweep_degrees":52.688067,"canvas_size":[467,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0321","image_path":"images/angle_estimation_0321.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0321_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_0321_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0321_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"127","question_id":"angle_estimation_0321_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0321_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[382.6079,214.8357],[334.8384,333.336]],"scene_type":"single","seed":321,"vertex":[233.5,249.5]}
+{"angle_degrees":152.759677,"arc_sweep_degrees":152.759677,"canvas_size":[495,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0322","image_path":"images/angle_estimation_0322.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0322_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_0322_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0322_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"27","question_id":"angle_estimation_0322_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0322_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[375.5327,254.6905],[142.1774,323.008]],"scene_type":"single","seed":322,"vertex":[247.5,261.5]}
+{"angle_degrees":47.948367,"arc_sweep_degrees":47.948367,"canvas_size":[496,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0323","image_path":"images/angle_estimation_0323.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0323_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_0323_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0323_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"132","question_id":"angle_estimation_0323_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0323_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[399.7151,223.2039],[337.3383,320.9777]],"scene_type":"single","seed":323,"vertex":[248.0,260.0]}
+{"angle_degrees":253.579017,"arc_sweep_degrees":253.579017,"canvas_size":[487,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0324","image_path":"images/angle_estimation_0324.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0324_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_0324_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0324_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"74","question_id":"angle_estimation_0324_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0324_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[74.313,204.2082],[252.3998,374.9625]],"scene_type":"single","seed":324,"vertex":[243.5,242.0]}
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+{"angle_degrees":161.282705,"arc_sweep_degrees":161.282705,"canvas_size":[453,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0327","image_path":"images/angle_estimation_0327.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0327_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_0327_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0327_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"19","question_id":"angle_estimation_0327_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0327_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[323.7273,382.6108],[103.1668,169.3646]],"scene_type":"single","seed":327,"vertex":[226.5,253.5]}
+{"angle_degrees":168.357289,"arc_sweep_degrees":168.357289,"canvas_size":[491,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0328","image_path":"images/angle_estimation_0328.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0328_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_0328_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0328_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"12","question_id":"angle_estimation_0328_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0328_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[132.47,135.9736],[369.2534,337.5851]],"scene_type":"single","seed":328,"vertex":[245.5,253.0]}
+{"angle_1_degrees":108.428419,"angle_2_degrees":74.969458,"angles":[{"angle_degrees":108.428419,"arc_sweep_degrees":108.428419,"ray_endpoints":[[51.8231,295.12],[126.5244,124.5022]],"vertex":[129.6,267.33]},{"angle_degrees":74.969458,"arc_sweep_degrees":74.969458,"ray_endpoints":[[266.5636,284.6437],[286.5416,140.3567]],"vertex":[350.4,267.33]}],"canvas_size":[480,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0329","image_path":"images/angle_estimation_0329.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0329_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0329_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0329_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0329_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0329_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":329}
+{"angle_1_degrees":159.544779,"angle_2_degrees":74.316202,"angles":[{"angle_degrees":159.544779,"arc_sweep_degrees":159.544779,"ray_endpoints":[[92.7336,323.4225],[156.4193,131.4141]],"vertex":[132.03,258.78]},{"angle_degrees":74.316202,"arc_sweep_degrees":74.316202,"ray_endpoints":[[437.0422,334.7469],[296.1543,374.0827]],"vertex":[356.97,258.78]}],"canvas_size":[489,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0330","image_path":"images/angle_estimation_0330.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0330_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0330_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_0330_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0330_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0330_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":330}
+{"angle_1_degrees":17.198595,"angle_2_degrees":82.686725,"angles":[{"angle_degrees":17.198595,"arc_sweep_degrees":17.198595,"ray_endpoints":[[204.2196,341.0031],[194.7839,389.0122]],"vertex":[133.92,267.9]},{"angle_degrees":82.686725,"arc_sweep_degrees":82.686725,"ray_endpoints":[[460.5897,292.9566],[346.2096,397.9484]],"vertex":[362.08,267.9]}],"canvas_size":[496,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0331","image_path":"images/angle_estimation_0331.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0331_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0331_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0331_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0331_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0331_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":331}
+{"angle_1_degrees":89.650602,"angle_2_degrees":100.283689,"angles":[{"angle_degrees":89.650602,"arc_sweep_degrees":89.650602,"ray_endpoints":[[67.2281,219.5689],[216.2272,179.2687]],"vertex":[125.55,275.31]},{"angle_degrees":100.283689,"arc_sweep_degrees":100.283689,"ray_endpoints":[[254.0353,229.9906],[411.3828,184.0088]],"vertex":[339.45,275.31]}],"canvas_size":[465,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0332","image_path":"images/angle_estimation_0332.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0332_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0332_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0332_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0332_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0332_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":332}
+{"angle_1_degrees":66.501583,"angle_2_degrees":167.289894,"angles":[{"angle_degrees":66.501583,"arc_sweep_degrees":66.501583,"ray_endpoints":[[129.8873,347.3158],[14.259,317.9022]],"vertex":[130.95,269.04]},{"angle_degrees":167.289894,"arc_sweep_degrees":167.289894,"ray_endpoints":[[386.289,160.3478],[346.1936,386.9912]],"vertex":[354.05,269.04]}],"canvas_size":[485,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0333","image_path":"images/angle_estimation_0333.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0333_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0333_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_0333_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0333_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0333_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":333}
+{"angle_1_degrees":56.2925,"angle_2_degrees":43.573056,"angles":[{"angle_degrees":56.2925,"arc_sweep_degrees":56.2925,"ray_endpoints":[[72.2139,201.7896],[170.0028,159.1259]],"vertex":[125.55,276.45]},{"angle_degrees":43.573056,"arc_sweep_degrees":43.573056,"ray_endpoints":[[312.8372,197.4996],[390.1828,167.3799]],"vertex":[339.45,276.45]}],"canvas_size":[465,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0334","image_path":"images/angle_estimation_0334.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0334_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0334_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0334_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0334_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0334_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":334}
+{"angle_1_degrees":117.990347,"angle_2_degrees":62.742639,"angles":[{"angle_degrees":117.990347,"arc_sweep_degrees":117.990347,"ray_endpoints":[[79.3349,357.8872],[55.1981,169.3684]],"vertex":[123.93,256.5]},{"angle_degrees":62.742639,"arc_sweep_degrees":62.742639,"ray_endpoints":[[245.2461,261.6724],[267.5559,142.126]],"vertex":[335.07,256.5]}],"canvas_size":[459,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0335","image_path":"images/angle_estimation_0335.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0335_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0335_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0335_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0335_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0335_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":335}
+{"canvas_size":[450,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0336","image_path":"images/angle_estimation_0336.png","interior_angles_degrees":[90.912823,28.395891,60.691286],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0336_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0336_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0336_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0336_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0336_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":336,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[57.9286,356.4029],[395.0,356.4029],[55.0,172.5971]]}
+{"canvas_size":[462,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0337","image_path":"images/angle_estimation_0337.png","interior_angles_degrees":[89.692555,24.429625,65.87782],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0337_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0337_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0337_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0337_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0337_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":337,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,335.2525],[407.0,335.2525],[55.8559,175.7475]]}
+{"canvas_size":[457,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0338","image_path":"images/angle_estimation_0338.png","interior_angles_degrees":[89.991406,49.923725,40.08487],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0338_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0338_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0338_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0338_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0338_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":338,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[70.2941,441.0],[386.7059,441.0],[70.3505,65.0]]}
+{"canvas_size":[459,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0339","image_path":"images/angle_estimation_0339.png","interior_angles_degrees":[88.976938,49.592752,41.43031],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0339_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0339_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0339_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0339_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0339_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":339,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[60.0172,455.0],[398.9828,455.0],[66.9817,65.0]]}
+{"canvas_size":[475,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0340","image_path":"images/angle_estimation_0340.png","interior_angles_degrees":[90.061912,52.621503,37.316585],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0340_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0340_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0340_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0340_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0340_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":340,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[90.4722,451.0],[384.9449,451.0],[90.0551,65.0]]}
+{"angle_degrees":203.135228,"arc_sweep_degrees":203.135228,"canvas_size":[487,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0341","image_path":"images/angle_estimation_0341.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0341_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_0341_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0341_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"23","question_id":"angle_estimation_0341_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0341_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[320.1154,138.3776],[150.9659,303.3015]],"scene_type":"single","seed":341,"vertex":[243.5,246.5]}
+{"angle_degrees":208.435251,"arc_sweep_degrees":208.435251,"canvas_size":[457,463],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0342","image_path":"images/angle_estimation_0342.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0342_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_0342_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0342_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"28","question_id":"angle_estimation_0342_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0342_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[231.2718,115.0242],[162.1885,359.8924]],"scene_type":"single","seed":342,"vertex":[228.5,243.5]}
+{"angle_degrees":324.285272,"arc_sweep_degrees":324.285272,"canvas_size":[462,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0343","image_path":"images/angle_estimation_0343.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0343_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_0343_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0343_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"144","question_id":"angle_estimation_0343_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0343_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[84.5918,233.151],[133.5893,304.7011]],"scene_type":"single","seed":343,"vertex":[231.0,252.5]}
+{"angle_degrees":44.799219,"arc_sweep_degrees":44.799219,"canvas_size":[474,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0344","image_path":"images/angle_estimation_0344.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0344_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_0344_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0344_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"135","question_id":"angle_estimation_0344_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0344_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[387.1264,170.3001],[389.2585,295.9415]],"scene_type":"single","seed":344,"vertex":[237.0,249.0]}
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+{"angle_degrees":169.641322,"arc_sweep_degrees":169.641322,"canvas_size":[472,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0347","image_path":"images/angle_estimation_0347.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0347_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_0347_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0347_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"10","question_id":"angle_estimation_0347_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0347_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[222.495,87.1014],[270.7056,386.1564]],"scene_type":"single","seed":347,"vertex":[236.0,256.0]}
+{"angle_degrees":310.926443,"arc_sweep_degrees":310.926443,"canvas_size":[470,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0348","image_path":"images/angle_estimation_0348.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0348_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_0348_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0348_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"131","question_id":"angle_estimation_0348_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0348_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[146.6489,364.3116],[254.3304,392.4138]],"scene_type":"single","seed":348,"vertex":[235.0,261.5]}
+{"angle_1_degrees":78.503005,"angle_2_degrees":129.238189,"angles":[{"angle_degrees":78.503005,"arc_sweep_degrees":78.503005,"ray_endpoints":[[31.9018,261.1479],[120.6081,144.9825]],"vertex":[128.52,274.74]},{"angle_degrees":129.238189,"arc_sweep_degrees":129.238189,"ray_endpoints":[[330.6928,365.8524],[279.3296,194.4432]],"vertex":[347.48,274.74]}],"canvas_size":[476,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0349","image_path":"images/angle_estimation_0349.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0349_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0349_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0349_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0349_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0349_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":349}
+{"angle_1_degrees":69.09549,"angle_2_degrees":12.062139,"angles":[{"angle_degrees":69.09549,"arc_sweep_degrees":69.09549,"ray_endpoints":[[36.2023,254.0518],[91.7276,132.6885]],"vertex":[127.71,262.77]},{"angle_degrees":12.062139,"arc_sweep_degrees":12.062139,"ray_endpoints":[[427.7071,317.3593],[432.2782,351.5399]],"vertex":[345.29,262.77]}],"canvas_size":[473,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0350","image_path":"images/angle_estimation_0350.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0350_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0350_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0350_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0350_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0350_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":350}
+{"angle_1_degrees":65.476874,"angle_2_degrees":126.54743,"angles":[{"angle_degrees":65.476874,"arc_sweep_degrees":65.476874,"ray_endpoints":[[67.785,217.2281],[174.3906,149.8332]],"vertex":[132.03,277.02]},{"angle_degrees":126.54743,"arc_sweep_degrees":126.54743,"ray_endpoints":[[391.785,193.4279],[419.0107,380.9231]],"vertex":[356.97,277.02]}],"canvas_size":[489,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0351","image_path":"images/angle_estimation_0351.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0351_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0351_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0351_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0351_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0351_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":351}
+{"angle_1_degrees":128.725948,"angle_2_degrees":116.049369,"angles":[{"angle_degrees":128.725948,"arc_sweep_degrees":128.725948,"ray_endpoints":[[208.784,237.633],[77.159,380.4498]],"vertex":[126.36,261.63]},{"angle_degrees":116.049369,"arc_sweep_degrees":116.049369,"ray_endpoints":[[419.6086,184.6243],[385.5973,392.2869]],"vertex":[341.64,261.63]}],"canvas_size":[468,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0352","image_path":"images/angle_estimation_0352.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0352_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0352_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0352_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0352_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0352_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":352}
+{"angle_1_degrees":12.414605,"angle_2_degrees":88.314979,"angles":[{"angle_degrees":12.414605,"arc_sweep_degrees":12.414605,"ray_endpoints":[[164.8828,155.7118],[197.0442,151.2344]],"vertex":[123.12,259.35]},{"angle_degrees":88.314979,"arc_sweep_degrees":88.314979,"ray_endpoints":[[412.7469,321.6518],[256.6776,363.1944]],"vertex":[332.88,259.35]}],"canvas_size":[456,455],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0353","image_path":"images/angle_estimation_0353.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0353_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0353_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0353_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0353_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0353_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":353}
+{"angle_1_degrees":45.781671,"angle_2_degrees":121.326347,"angles":[{"angle_degrees":45.781671,"arc_sweep_degrees":45.781671,"ray_endpoints":[[130.5906,362.8455],[34.3468,362.0333]],"vertex":[125.01,263.34]},{"angle_degrees":121.326347,"arc_sweep_degrees":121.326347,"ray_endpoints":[[395.737,183.1815],[386.2921,377.6632]],"vertex":[337.99,263.34]}],"canvas_size":[463,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0354","image_path":"images/angle_estimation_0354.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0354_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0354_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0354_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0354_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0354_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":354}
+{"angle_1_degrees":18.127802,"angle_2_degrees":99.185325,"angles":[{"angle_degrees":18.127802,"arc_sweep_degrees":18.127802,"ray_endpoints":[[49.7353,321.6785],[22.4745,300.1154]],"vertex":[124.2,260.49]},{"angle_degrees":99.185325,"arc_sweep_degrees":99.185325,"ray_endpoints":[[405.5709,184.0037],[415.7847,361.2481]],"vertex":[335.8,260.49]}],"canvas_size":[460,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0355","image_path":"images/angle_estimation_0355.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0355_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0355_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0355_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0355_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0355_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":355}
+{"canvas_size":[491,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0356","image_path":"images/angle_estimation_0356.png","interior_angles_degrees":[108.684737,31.452867,39.862396],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0356_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0356_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0356_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0356_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0356_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":356,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[133.8126,357.5231],[436.0,357.5231],[55.0,124.4769]]}
+{"canvas_size":[461,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0357","image_path":"images/angle_estimation_0357.png","interior_angles_degrees":[100.628404,37.12707,42.244526],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0357_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0357_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0357_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0357_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0357_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":357,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[104.8645,384.36],[406.0,384.36],[55.0,118.64]]}
+{"canvas_size":[498,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0358","image_path":"images/angle_estimation_0358.png","interior_angles_degrees":[129.196268,28.814694,21.989038],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0358_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0358_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0358_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0358_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0358_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":358,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[229.0497,354.2172],[443.0,354.2172],[55.0,140.7828]]}
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+{"angle_1_degrees":161.24825,"angle_2_degrees":11.69295,"angles":[{"angle_degrees":161.24825,"arc_sweep_degrees":161.24825,"ray_endpoints":[[91.2243,388.9694],[117.8525,147.4816]],"vertex":[123.39,279.3]},{"angle_degrees":11.69295,"arc_sweep_degrees":11.69295,"ray_endpoints":[[320.2672,183.2746],[341.388,161.6473]],"vertex":[333.61,279.3]}],"canvas_size":[457,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0370","image_path":"images/angle_estimation_0370.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0370_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0370_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"150","question_id":"angle_estimation_0370_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0370_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0370_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":370}
+{"angle_1_degrees":60.725847,"angle_2_degrees":169.085773,"angles":[{"angle_degrees":60.725847,"arc_sweep_degrees":60.725847,"ray_endpoints":[[45.1521,208.3237],[147.639,173.2715]],"vertex":[126.63,278.16]},{"angle_degrees":169.085773,"arc_sweep_degrees":169.085773,"ray_endpoints":[[338.8929,180.6381],[372.6683,409.8554]],"vertex":[342.37,278.16]}],"canvas_size":[469,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0371","image_path":"images/angle_estimation_0371.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0371_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0371_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0371_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0371_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0371_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":371}
+{"angle_1_degrees":31.853552,"angle_2_degrees":58.468585,"angles":[{"angle_degrees":31.853552,"arc_sweep_degrees":31.853552,"ray_endpoints":[[183.6981,367.5733],[130.0555,395.4047]],"vertex":[123.39,282.15]},{"angle_degrees":58.468585,"arc_sweep_degrees":58.468585,"ray_endpoints":[[252.3144,243.6592],[318.832,146.0143]],"vertex":[333.61,282.15]}],"canvas_size":[457,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0372","image_path":"images/angle_estimation_0372.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0372_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0372_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0372_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0372_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0372_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":372}
+{"angle_1_degrees":108.003388,"angle_2_degrees":62.385395,"angles":[{"angle_degrees":108.003388,"arc_sweep_degrees":108.003388,"ray_endpoints":[[212.3691,249.9519],[95.4142,393.1468]],"vertex":[122.04,260.49]},{"angle_degrees":62.385395,"arc_sweep_degrees":62.385395,"ray_endpoints":[[413.9836,301.6417],[333.7776,404.2952]],"vertex":[329.96,260.49]}],"canvas_size":[452,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0373","image_path":"images/angle_estimation_0373.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0373_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0373_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0373_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0373_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0373_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":373}
+{"angle_1_degrees":124.924845,"angle_2_degrees":134.896546,"angles":[{"angle_degrees":124.924845,"arc_sweep_degrees":124.924845,"ray_endpoints":[[47.0386,257.2832],[213.3685,151.4194]],"vertex":[127.17,261.63]},{"angle_degrees":134.896546,"arc_sweep_degrees":134.896546,"ray_endpoints":[[332.3112,177.8394],[443.1652,336.6724]],"vertex":[343.83,261.63]}],"canvas_size":[471,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0374","image_path":"images/angle_estimation_0374.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0374_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0374_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0374_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0374_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0374_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":374}
+{"angle_1_degrees":74.067417,"angle_2_degrees":23.539134,"angles":[{"angle_degrees":74.067417,"arc_sweep_degrees":74.067417,"ray_endpoints":[[198.1649,327.997],[80.0223,377.4576]],"vertex":[125.28,269.61]},{"angle_degrees":23.539134,"arc_sweep_degrees":23.539134,"ray_endpoints":[[321.1156,176.5957],[363.9868,158.5932]],"vertex":[338.72,269.61]}],"canvas_size":[464,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0375","image_path":"images/angle_estimation_0375.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0375_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0375_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0375_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0375_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0375_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":375}
+{"canvas_size":[493,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0376","image_path":"images/angle_estimation_0376.png","interior_angles_degrees":[56.048067,39.149376,84.802556],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0376_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0376_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0376_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0376_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0376_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":376,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,363.7034],[438.0,363.7034],[190.6049,162.2966]]}
+{"canvas_size":[465,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0377","image_path":"images/angle_estimation_0377.png","interior_angles_degrees":[73.829633,41.522017,64.648351],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0377_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0377_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0377_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0377_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0377_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":377,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,381.0541],[410.0,381.0541],[127.5229,130.9459]]}
+{"canvas_size":[451,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0378","image_path":"images/angle_estimation_0378.png","interior_angles_degrees":[65.131985,33.434061,81.433953],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0378_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0378_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0378_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0378_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0378_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":378,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,335.1927],[396.0,335.1927],[134.9017,162.8073]]}
+{"canvas_size":[451,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0379","image_path":"images/angle_estimation_0379.png","interior_angles_degrees":[67.509326,53.457148,59.033526],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0379_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0379_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0379_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0379_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0379_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":379,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,393.6009],[396.0,393.6009],[177.2203,98.3991]]}
+{"canvas_size":[458,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0380","image_path":"images/angle_estimation_0380.png","interior_angles_degrees":[55.429953,57.434017,67.13603],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0380_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0380_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0380_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0380_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0380_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":380,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,381.5465],[403.0,381.5465],[235.6037,119.4535]]}
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+{"angle_1_degrees":24.78722,"angle_2_degrees":59.223352,"angles":[{"angle_degrees":24.78722,"arc_sweep_degrees":24.78722,"ray_endpoints":[[96.4964,183.8571],[133.2669,148.6494]],"vertex":[129.87,262.2]},{"angle_degrees":59.223352,"arc_sweep_degrees":59.223352,"ray_endpoints":[[450.0389,245.5135],[444.7468,372.3839]],"vertex":[351.13,262.2]}],"canvas_size":[481,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0391","image_path":"images/angle_estimation_0391.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0391_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0391_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0391_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0391_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0391_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":391}
+{"angle_1_degrees":16.194375,"angle_2_degrees":154.027715,"angles":[{"angle_degrees":16.194375,"arc_sweep_degrees":16.194375,"ray_endpoints":[[83.0635,336.6183],[43.6506,337.7314]],"vertex":[132.03,273.03]},{"angle_degrees":154.027715,"arc_sweep_degrees":154.027715,"ray_endpoints":[[343.7158,176.2301],[430.8615,383.5373]],"vertex":[356.97,273.03]}],"canvas_size":[489,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0392","image_path":"images/angle_estimation_0392.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0392_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0392_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_0392_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0392_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0392_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":392}
+{"angle_1_degrees":36.992841,"angle_2_degrees":10.618843,"angles":[{"angle_degrees":36.992841,"arc_sweep_degrees":36.992841,"ray_endpoints":[[196.2579,347.4935],[135.7619,390.9784]],"vertex":[127.71,267.9]},{"angle_degrees":10.618843,"arc_sweep_degrees":10.618843,"ray_endpoints":[[422.477,300.8604],[460.4758,344.8423]],"vertex":[345.29,267.9]}],"canvas_size":[473,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0393","image_path":"images/angle_estimation_0393.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0393_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0393_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0393_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0393_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0393_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":393}
+{"angle_1_degrees":22.23999,"angle_2_degrees":68.014998,"angles":[{"angle_degrees":22.23999,"arc_sweep_degrees":22.23999,"ray_endpoints":[[52.109,228.0991],[37.9196,164.425]],"vertex":[125.55,265.05]},{"angle_degrees":68.014998,"arc_sweep_degrees":68.014998,"ray_endpoints":[[256.0898,201.8371],[371.7352,146.1257]],"vertex":[339.45,265.05]}],"canvas_size":[465,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0394","image_path":"images/angle_estimation_0394.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0394_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0394_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0394_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0394_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0394_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":394}
+{"angle_1_degrees":45.282422,"angle_2_degrees":145.439089,"angles":[{"angle_degrees":45.282422,"arc_sweep_degrees":45.282422,"ray_endpoints":[[107.4757,180.281],[200.164,154.1244]],"vertex":[127.71,268.47]},{"angle_degrees":145.439089,"arc_sweep_degrees":145.439089,"ray_endpoints":[[413.7539,184.9771],[334.2675,399.9887]],"vertex":[345.29,268.47]}],"canvas_size":[473,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0395","image_path":"images/angle_estimation_0395.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0395_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0395_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_0395_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0395_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0395_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":395}
+{"canvas_size":[453,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0396","image_path":"images/angle_estimation_0396.png","interior_angles_degrees":[90.123662,29.655597,60.220741],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0396_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0396_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0396_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0396_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0396_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":396,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.4215,346.1458],[398.0,346.1458],[55.0,150.8542]]}
+{"canvas_size":[457,455],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0397","image_path":"images/angle_estimation_0397.png","interior_angles_degrees":[90.618222,29.016513,60.365264],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0397_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0397_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0397_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0397_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0397_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":397,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[57.0769,338.738],[402.0,338.738],[55.0,146.262]]}
+{"canvas_size":[475,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0398","image_path":"images/angle_estimation_0398.png","interior_angles_degrees":[89.886255,43.557039,46.556706],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0398_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0398_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0398_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0398_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0398_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":398,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,426.7047],[420.0,426.7047],[55.6877,80.2953]]}
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+{"canvas_size":[469,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0400","image_path":"images/angle_estimation_0400.png","interior_angles_degrees":[90.688381,45.086085,44.225534],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0400_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0400_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0400_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0400_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0400_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":400,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[59.3264,437.5402],[414.0,437.5402],[55.0,77.4598]]}
+{"angle_degrees":155.413152,"arc_sweep_degrees":155.413152,"canvas_size":[481,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0401","image_path":"images/angle_estimation_0401.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0401_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_0401_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0401_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"25","question_id":"angle_estimation_0401_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0401_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[285.7174,80.0777],[263.855,390.8849]],"scene_type":"single","seed":401,"vertex":[240.5,240.0]}
+{"angle_degrees":245.906708,"arc_sweep_degrees":245.906708,"canvas_size":[481,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0402","image_path":"images/angle_estimation_0402.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0402_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_0402_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0402_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"66","question_id":"angle_estimation_0402_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0402_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[100.2641,280.1782],[319.7971,334.2333]],"scene_type":"single","seed":402,"vertex":[240.5,240.0]}
+{"angle_degrees":126.266058,"arc_sweep_degrees":126.266058,"canvas_size":[465,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0403","image_path":"images/angle_estimation_0403.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0403_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_0403_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0403_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"54","question_id":"angle_estimation_0403_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0403_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[396.437,246.8561],[146.2015,389.9002]],"scene_type":"single","seed":403,"vertex":[232.5,256.5]}
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+{"angle_degrees":276.492655,"arc_sweep_degrees":276.492655,"canvas_size":[476,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0406","image_path":"images/angle_estimation_0406.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0406_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"270","question_id":"angle_estimation_0406_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0406_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"96","question_id":"angle_estimation_0406_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0406_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[333.4693,370.5919],[359.4309,174.4893]],"scene_type":"single","seed":406,"vertex":[238.0,250.0]}
+{"angle_degrees":291.991743,"arc_sweep_degrees":291.991743,"canvas_size":[492,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0407","image_path":"images/angle_estimation_0407.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0407_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_0407_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0407_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"112","question_id":"angle_estimation_0407_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0407_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[147.2967,141.6584],[127.0564,290.7667]],"scene_type":"single","seed":407,"vertex":[246.0,240.0]}
+{"angle_degrees":100.101923,"arc_sweep_degrees":100.101923,"canvas_size":[495,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0408","image_path":"images/angle_estimation_0408.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0408_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_0408_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0408_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"80","question_id":"angle_estimation_0408_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0408_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[374.0465,336.6979],[149.9447,351.2904]],"scene_type":"single","seed":408,"vertex":[247.5,251.0]}
+{"angle_1_degrees":149.845515,"angle_2_degrees":168.107642,"angles":[{"angle_degrees":149.845515,"arc_sweep_degrees":149.845515,"ray_endpoints":[[167.69,372.3757],[31.9881,197.8592]],"vertex":[130.41,276.45]},{"angle_degrees":168.107642,"arc_sweep_degrees":168.107642,"ray_endpoints":[[427.6699,235.4545],[256.1115,358.932]],"vertex":[352.59,276.45]}],"canvas_size":[483,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0409","image_path":"images/angle_estimation_0409.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0409_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0409_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0409_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0409_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0409_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":409}
+{"angle_1_degrees":24.505357,"angle_2_degrees":58.034361,"angles":[{"angle_degrees":24.505357,"arc_sweep_degrees":24.505357,"ray_endpoints":[[206.8743,337.3987],[187.1148,384.9909]],"vertex":[123.93,281.01]},{"angle_degrees":58.034361,"arc_sweep_degrees":58.034361,"ray_endpoints":[[404.9865,369.9544],[295.4861,390.5711]],"vertex":[335.07,281.01]}],"canvas_size":[459,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0410","image_path":"images/angle_estimation_0410.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0410_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0410_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0410_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0410_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0410_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":410}
+{"angle_1_degrees":62.311767,"angle_2_degrees":106.621123,"angles":[{"angle_degrees":62.311767,"arc_sweep_degrees":62.311767,"ray_endpoints":[[146.2466,338.716],[20.8385,351.7529]],"vertex":[125.01,257.07]},{"angle_degrees":106.621123,"arc_sweep_degrees":106.621123,"ray_endpoints":[[395.7892,208.5885],[394.3201,387.4376]],"vertex":[337.99,257.07]}],"canvas_size":[463,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0411","image_path":"images/angle_estimation_0411.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0411_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0411_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0411_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0411_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0411_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":411}
+{"angle_1_degrees":10.17185,"angle_2_degrees":105.986819,"angles":[{"angle_degrees":10.17185,"arc_sweep_degrees":10.17185,"ray_endpoints":[[123.6105,364.169],[96.7475,420.376]],"vertex":[126.36,282.15]},{"angle_degrees":105.986819,"arc_sweep_degrees":105.986819,"ray_endpoints":[[257.392,270.4462],[388.7363,175.85]],"vertex":[341.64,282.15]}],"canvas_size":[468,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0412","image_path":"images/angle_estimation_0412.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0412_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0412_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_0412_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0412_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0412_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":412}
+{"angle_1_degrees":32.594886,"angle_2_degrees":66.226577,"angles":[{"angle_degrees":32.594886,"arc_sweep_degrees":32.594886,"ray_endpoints":[[171.75,369.2165],[110.5367,414.0102]],"vertex":[134.46,279.3]},{"angle_degrees":66.226577,"arc_sweep_degrees":66.226577,"ray_endpoints":[[282.878,243.6243],[363.7152,162.2067]],"vertex":[363.54,279.3]}],"canvas_size":[498,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0413","image_path":"images/angle_estimation_0413.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0413_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0413_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0413_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0413_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0413_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":413}
+{"angle_1_degrees":11.204348,"angle_2_degrees":157.627199,"angles":[{"angle_degrees":11.204348,"arc_sweep_degrees":11.204348,"ray_endpoints":[[182.226,323.4247],[204.412,384.2006]],"vertex":[128.79,269.04]},{"angle_degrees":157.627199,"arc_sweep_degrees":157.627199,"ray_endpoints":[[396.133,181.1649],[332.6965,411.0776]],"vertex":[348.21,269.04]}],"canvas_size":[477,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0414","image_path":"images/angle_estimation_0414.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0414_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0414_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"150","question_id":"angle_estimation_0414_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0414_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0414_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":414}
+{"angle_1_degrees":44.708397,"angle_2_degrees":99.576648,"angles":[{"angle_degrees":44.708397,"arc_sweep_degrees":44.708397,"ray_endpoints":[[33.7325,237.7277],[83.6376,173.8268]],"vertex":[134.73,268.47]},{"angle_degrees":99.576648,"arc_sweep_degrees":99.576648,"ray_endpoints":[[469.561,226.12],[388.2929,378.3333]],"vertex":[364.27,268.47]}],"canvas_size":[499,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0415","image_path":"images/angle_estimation_0415.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0415_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0415_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0415_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0415_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0415_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":415}
+{"canvas_size":[466,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0416","image_path":"images/angle_estimation_0416.png","interior_angles_degrees":[123.27258,30.267547,26.459873],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0416_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0416_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0416_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0416_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0416_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":416,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[191.33,343.8796],[411.0,343.8796],[55.0,136.1204]]}
+{"canvas_size":[488,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0417","image_path":"images/angle_estimation_0417.png","interior_angles_degrees":[129.263643,24.051915,26.684443],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0417_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0417_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0417_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0417_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0417_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":417,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[192.9064,347.3535],[433.0,347.3535],[55.0,178.6465]]}
+{"canvas_size":[470,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0418","image_path":"images/angle_estimation_0418.png","interior_angles_degrees":[103.948047,42.123582,33.928372],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0418_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0418_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0418_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0418_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0418_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":418,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[135.8563,413.7771],[415.0,413.7771],[55.0,88.2229]]}
+{"canvas_size":[489,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0419","image_path":"images/angle_estimation_0419.png","interior_angles_degrees":[103.449254,28.157852,48.392894],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0419_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0419_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0419_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0419_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0419_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":419,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[103.5122,362.9296],[434.0,362.9296],[55.0,160.0704]]}
+{"canvas_size":[451,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0420","image_path":"images/angle_estimation_0420.png","interior_angles_degrees":[109.449487,22.381174,48.169338],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0420_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0420_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0420_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0420_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0420_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":420,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[104.5857,331.7095],[396.0,331.7095],[55.0,191.2905]]}
+{"angle_degrees":217.843612,"arc_sweep_degrees":217.843612,"canvas_size":[491,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0421","image_path":"images/angle_estimation_0421.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0421_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_0421_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0421_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"38","question_id":"angle_estimation_0421_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0421_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[77.652,268.6818],[357.5223,331.1886]],"scene_type":"single","seed":421,"vertex":[245.5,256.5]}
+{"angle_degrees":12.104195,"arc_sweep_degrees":12.104195,"canvas_size":[474,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0422","image_path":"images/angle_estimation_0422.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0422_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_0422_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0422_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"168","question_id":"angle_estimation_0422_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0422_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[110.6557,126.9668],[156.8089,129.767]],"scene_type":"single","seed":422,"vertex":[237.0,246.0]}
+{"angle_degrees":193.666134,"arc_sweep_degrees":193.666134,"canvas_size":[470,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0423","image_path":"images/angle_estimation_0423.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0423_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0423_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0423_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"14","question_id":"angle_estimation_0423_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0423_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[192.5672,84.3881],[238.92,402.1723]],"scene_type":"single","seed":423,"vertex":[235.0,242.0]}
+{"angle_degrees":282.657097,"arc_sweep_degrees":282.657097,"canvas_size":[485,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0424","image_path":"images/angle_estimation_0424.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0424_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_0424_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0424_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"103","question_id":"angle_estimation_0424_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0424_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[183.3098,101.8929],[135.1838,268.36]],"scene_type":"single","seed":424,"vertex":[242.5,251.5]}
+{"angle_degrees":45.000022,"arc_sweep_degrees":45.000022,"canvas_size":[476,455],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0425","image_path":"images/angle_estimation_0425.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0425_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_0425_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0425_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"135","question_id":"angle_estimation_0425_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0425_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[103.3549,193.4588],[175.5028,112.0519]],"scene_type":"single","seed":425,"vertex":[238.0,239.5]}
+{"angle_degrees":258.382341,"arc_sweep_degrees":258.382341,"canvas_size":[460,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0426","image_path":"images/angle_estimation_0426.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0426_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_0426_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0426_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"78","question_id":"angle_estimation_0426_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0426_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[367.8874,211.2798],[178.0491,142.5495]],"scene_type":"single","seed":426,"vertex":[230.0,247.5]}
+{"angle_degrees":287.27578,"arc_sweep_degrees":287.27578,"canvas_size":[460,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0427","image_path":"images/angle_estimation_0427.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0427_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_0427_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0427_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"107","question_id":"angle_estimation_0427_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0427_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[185.7257,415.5506],[320.5265,314.9101]],"scene_type":"single","seed":427,"vertex":[230.0,256.5]}
+{"angle_degrees":190.523518,"arc_sweep_degrees":190.523518,"canvas_size":[466,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0428","image_path":"images/angle_estimation_0428.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0428_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0428_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0428_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"11","question_id":"angle_estimation_0428_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0428_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[346.1364,174.5895],[99.6209,284.266]],"scene_type":"single","seed":428,"vertex":[233.0,238.5]}
+{"angle_1_degrees":13.708745,"angle_2_degrees":74.740394,"angles":[{"angle_degrees":13.708745,"arc_sweep_degrees":13.708745,"ray_endpoints":[[62.2219,222.3879],[26.479,164.2593]],"vertex":[131.76,260.49]},{"angle_degrees":74.740394,"arc_sweep_degrees":74.740394,"ray_endpoints":[[433.3579,288.9185],[344.0307,400.7155]],"vertex":[356.24,260.49]}],"canvas_size":[488,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0429","image_path":"images/angle_estimation_0429.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0429_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0429_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0429_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0429_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0429_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":429}
+{"angle_1_degrees":43.759043,"angle_2_degrees":127.280818,"angles":[{"angle_degrees":43.759043,"arc_sweep_degrees":43.759043,"ray_endpoints":[[28.1525,324.9832],[17.6559,242.4618]],"vertex":[126.09,280.44]},{"angle_degrees":127.280818,"arc_sweep_degrees":127.280818,"ray_endpoints":[[413.459,239.6271],[325.5111,391.1214]],"vertex":[340.91,280.44]}],"canvas_size":[467,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0430","image_path":"images/angle_estimation_0430.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0430_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0430_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0430_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0430_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0430_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":430}
+{"angle_1_degrees":13.823521,"angle_2_degrees":124.172868,"angles":[{"angle_degrees":13.823521,"arc_sweep_degrees":13.823521,"ray_endpoints":[[73.2925,229.4935],[60.0277,170.3914]],"vertex":[126.36,284.43]},{"angle_degrees":124.172868,"arc_sweep_degrees":124.172868,"ray_endpoints":[[266.746,321.8835],[359.9146,147.5382]],"vertex":[341.64,284.43]}],"canvas_size":[468,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0431","image_path":"images/angle_estimation_0431.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0431_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0431_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0431_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0431_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0431_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":431}
+{"angle_1_degrees":62.537361,"angle_2_degrees":35.956987,"angles":[{"angle_degrees":62.537361,"arc_sweep_degrees":62.537361,"ray_endpoints":[[37.5108,216.7426],[146.4273,147.2709]],"vertex":[131.49,279.87]},{"angle_degrees":35.956987,"arc_sweep_degrees":35.956987,"ray_endpoints":[[422.6097,366.1403],[359.3941,395.8408]],"vertex":[355.51,279.87]}],"canvas_size":[487,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0432","image_path":"images/angle_estimation_0432.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0432_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0432_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0432_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0432_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0432_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":432}
+{"angle_1_degrees":160.808967,"angle_2_degrees":31.721947,"angles":[{"angle_degrees":160.808967,"arc_sweep_degrees":160.808967,"ray_endpoints":[[193.6395,250.8788],[28.7819,369.9049]],"vertex":[124.74,281.01]},{"angle_degrees":31.721947,"arc_sweep_degrees":31.721947,"ray_endpoints":[[269.7256,210.8354],[314.2711,174.4994]],"vertex":[337.26,281.01]}],"canvas_size":[462,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0433","image_path":"images/angle_estimation_0433.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0433_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0433_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_0433_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0433_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0433_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":433}
+{"angle_1_degrees":140.356101,"angle_2_degrees":13.293758,"angles":[{"angle_degrees":140.356101,"arc_sweep_degrees":140.356101,"ray_endpoints":[[149.9368,168.1262],[181.0816,368.8524]],"vertex":[127.71,258.78]},{"angle_degrees":13.293758,"arc_sweep_degrees":13.293758,"ray_endpoints":[[317.6798,187.6711],[330.3891,151.7581]],"vertex":[345.29,258.78]}],"canvas_size":[473,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0434","image_path":"images/angle_estimation_0434.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0434_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0434_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_0434_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0434_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0434_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":434}
+{"angle_1_degrees":24.653858,"angle_2_degrees":55.731798,"angles":[{"angle_degrees":24.653858,"arc_sweep_degrees":24.653858,"ray_endpoints":[[151.4917,349.0287],[114.0939,404.5639]],"vertex":[124.74,275.31]},{"angle_degrees":55.731798,"arc_sweep_degrees":55.731798,"ray_endpoints":[[326.4907,175.5193],[436.7431,190.5604]],"vertex":[337.26,275.31]}],"canvas_size":[462,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0435","image_path":"images/angle_estimation_0435.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0435_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0435_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0435_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0435_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0435_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":435}
+{"canvas_size":[474,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0436","image_path":"images/angle_estimation_0436.png","interior_angles_degrees":[49.56583,59.633206,70.800965],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0436_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0436_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0436_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0436_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0436_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":436,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,381.5635],[419.0,381.5635],[270.6884,128.4365]]}
+{"canvas_size":[483,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0437","image_path":"images/angle_estimation_0437.png","interior_angles_degrees":[56.715731,49.290528,73.993741],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0437_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0437_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0437_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0437_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0437_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":437,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,371.9475],[428.0,371.9475],[216.4262,126.0525]]}
+{"canvas_size":[463,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0438","image_path":"images/angle_estimation_0438.png","interior_angles_degrees":[70.546096,52.894459,56.559445],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0438_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0438_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0438_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0438_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0438_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":438,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,416.5578],[408.0,416.5578],[167.3627,98.4422]]}
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+{"angle_1_degrees":161.479219,"angle_2_degrees":144.167735,"angles":[{"angle_degrees":161.479219,"arc_sweep_degrees":161.479219,"ray_endpoints":[[99.2145,196.9874],[206.8082,390.5062]],"vertex":[123.12,274.17]},{"angle_degrees":144.167735,"arc_sweep_degrees":144.167735,"ray_endpoints":[[293.612,349.2391],[313.7599,141.7899]],"vertex":[332.88,274.17]}],"canvas_size":[456,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0450","image_path":"images/angle_estimation_0450.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0450_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0450_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0450_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0450_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0450_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":450}
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+{"angle_1_degrees":52.359996,"angle_2_degrees":133.901269,"angles":[{"angle_degrees":52.359996,"arc_sweep_degrees":52.359996,"ray_endpoints":[[71.0427,182.9277],[174.7596,134.7478]],"vertex":[127.17,269.61]},{"angle_degrees":133.901269,"arc_sweep_degrees":133.901269,"ray_endpoints":[[443.4775,258.8025],[259.9914,378.0402]],"vertex":[343.83,269.61]}],"canvas_size":[471,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0452","image_path":"images/angle_estimation_0452.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0452_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0452_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0452_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0452_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0452_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":452}
+{"angle_1_degrees":95.498097,"angle_2_degrees":116.54973,"angles":[{"angle_degrees":95.498097,"arc_sweep_degrees":95.498097,"ray_endpoints":[[61.0872,334.1449],[41.8793,167.5114]],"vertex":[125.55,270.75]},{"angle_degrees":116.54973,"arc_sweep_degrees":116.54973,"ray_endpoints":[[435.9321,281.8734],[272.2695,373.7013]],"vertex":[339.45,270.75]}],"canvas_size":[465,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0453","image_path":"images/angle_estimation_0453.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0453_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0453_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0453_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0453_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0453_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":453}
+{"angle_1_degrees":62.534571,"angle_2_degrees":17.349012,"angles":[{"angle_degrees":62.534571,"arc_sweep_degrees":62.534571,"ray_endpoints":[[65.0634,214.3758],[171.4562,141.9771]],"vertex":[126.63,277.59]},{"angle_degrees":17.349012,"arc_sweep_degrees":17.349012,"ray_endpoints":[[368.3916,386.2212],[332.5885,421.8807]],"vertex":[342.37,277.59]}],"canvas_size":[469,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0454","image_path":"images/angle_estimation_0454.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0454_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0454_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0454_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0454_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0454_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":454}
+{"angle_1_degrees":71.164366,"angle_2_degrees":100.239433,"angles":[{"angle_degrees":71.164366,"arc_sweep_degrees":71.164366,"ray_endpoints":[[231.6708,235.2263],[193.5227,354.5917]],"vertex":[133.92,257.07]},{"angle_degrees":100.239433,"arc_sweep_degrees":100.239433,"ray_endpoints":[[436.0887,344.4755],[263.0905,314.2587]],"vertex":[362.08,257.07]}],"canvas_size":[496,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0455","image_path":"images/angle_estimation_0455.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0455_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0455_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0455_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0455_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0455_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":455}
+{"canvas_size":[497,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0456","image_path":"images/angle_estimation_0456.png","interior_angles_degrees":[89.857457,39.590813,50.55173],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0456_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0456_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0456_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0456_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0456_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":456,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,413.6963],[442.0,413.6963],[55.7946,94.3037]]}
+{"canvas_size":[498,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0457","image_path":"images/angle_estimation_0457.png","interior_angles_degrees":[90.114436,32.892894,56.99267],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0457_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0457_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0457_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0457_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0457_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":457,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.5012,370.9701],[443.0,370.9701],[55.0,120.0299]]}
+{"canvas_size":[454,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0458","image_path":"images/angle_estimation_0458.png","interior_angles_degrees":[89.044489,49.01668,41.938831],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0458_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0458_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0458_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0458_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0458_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":458,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[55.2219,453.0],[398.7781,453.0],[61.6931,65.0]]}
+{"canvas_size":[491,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0459","image_path":"images/angle_estimation_0459.png","interior_angles_degrees":[89.229507,42.811199,47.959294],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0459_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0459_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0459_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0459_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0459_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":459,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,438.8026],[436.0,438.8026],[59.6882,90.1974]]}
+{"canvas_size":[469,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0460","image_path":"images/angle_estimation_0460.png","interior_angles_degrees":[90.54256,34.241603,55.215838],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0460_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0460_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0460_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0460_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0460_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":460,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[57.314,385.1787],[414.0,385.1787],[55.0,140.8213]]}
+{"angle_degrees":201.410804,"arc_sweep_degrees":201.410804,"canvas_size":[496,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0461","image_path":"images/angle_estimation_0461.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0461_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0461_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0461_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"21","question_id":"angle_estimation_0461_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0461_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[140.4246,139.2138],[312.5945,395.3227]],"scene_type":"single","seed":461,"vertex":[248.0,247.0]}
+{"angle_degrees":35.282993,"arc_sweep_degrees":35.282993,"canvas_size":[487,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0462","image_path":"images/angle_estimation_0462.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0462_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_0462_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0462_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"145","question_id":"angle_estimation_0462_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0462_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[400.5568,205.2382],[366.2752,294.8663]],"scene_type":"single","seed":462,"vertex":[243.5,258.0]}
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+{"angle_1_degrees":65.373168,"angle_2_degrees":31.131913,"angles":[{"angle_degrees":65.373168,"arc_sweep_degrees":65.373168,"ray_endpoints":[[160.9077,386.6579],[29.534,375.6473]],"vertex":[122.04,282.72]},{"angle_degrees":31.131913,"arc_sweep_degrees":31.131913,"ray_endpoints":[[256.1274,221.6321],[283.677,150.2919]],"vertex":[329.96,282.72]}],"canvas_size":[452,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0470","image_path":"images/angle_estimation_0470.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0470_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0470_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0470_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0470_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0470_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":470}
+{"angle_1_degrees":36.693344,"angle_2_degrees":146.219099,"angles":[{"angle_degrees":36.693344,"arc_sweep_degrees":36.693344,"ray_endpoints":[[72.5243,329.4757],[25.8464,282.9732]],"vertex":[133.11,258.78]},{"angle_degrees":146.219099,"arc_sweep_degrees":146.219099,"ray_endpoints":[[403.6096,193.1809],[360.1029,382.2751]],"vertex":[359.89,258.78]}],"canvas_size":[493,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0471","image_path":"images/angle_estimation_0471.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0471_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0471_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0471_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0471_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0471_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":471}
+{"angle_1_degrees":168.139585,"angle_2_degrees":82.715177,"angles":[{"angle_degrees":168.139585,"arc_sweep_degrees":168.139585,"ray_endpoints":[[182.6956,180.1578],[80.4917,363.8182]],"vertex":[123.93,263.34]},{"angle_degrees":82.715177,"arc_sweep_degrees":82.715177,"ray_endpoints":[[412.1487,286.1948],[312.59,401.6626]],"vertex":[335.07,263.34]}],"canvas_size":[459,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0472","image_path":"images/angle_estimation_0472.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0472_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0472_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_0472_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0472_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0472_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":472}
+{"angle_1_degrees":18.612658,"angle_2_degrees":69.625557,"angles":[{"angle_degrees":18.612658,"arc_sweep_degrees":18.612658,"ray_endpoints":[[110.2347,346.1202],[56.0117,387.2913]],"vertex":[127.17,268.47]},{"angle_degrees":69.625557,"arc_sweep_degrees":69.625557,"ray_endpoints":[[408.285,219.4927],[452.38,337.346]],"vertex":[343.83,268.47]}],"canvas_size":[471,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0473","image_path":"images/angle_estimation_0473.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0473_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0473_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0473_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0473_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0473_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":473}
+{"angle_1_degrees":116.741108,"angle_2_degrees":76.085957,"angles":[{"angle_degrees":116.741108,"arc_sweep_degrees":116.741108,"ray_endpoints":[[209.558,214.76],[122.1415,385.9947]],"vertex":[122.58,258.21]},{"angle_degrees":76.085957,"arc_sweep_degrees":76.085957,"ray_endpoints":[[263.5508,212.4133],[374.1754,141.3539]],"vertex":[331.42,258.21]}],"canvas_size":[454,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0474","image_path":"images/angle_estimation_0474.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0474_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0474_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0474_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0474_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0474_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":474}
+{"angle_1_degrees":138.584414,"angle_2_degrees":99.938145,"angles":[{"angle_degrees":138.584414,"arc_sweep_degrees":138.584414,"ray_endpoints":[[210.8782,228.4149],[48.1952,380.591]],"vertex":[122.58,256.5]},{"angle_degrees":99.938145,"arc_sweep_degrees":99.938145,"ray_endpoints":[[246.2201,278.676],[319.6655,112.0206]],"vertex":[331.42,256.5]}],"canvas_size":[454,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0475","image_path":"images/angle_estimation_0475.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0475_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0475_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0475_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0475_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0475_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":475}
+{"canvas_size":[481,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0476","image_path":"images/angle_estimation_0476.png","interior_angles_degrees":[138.490324,19.126904,22.382772],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0476_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0476_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0476_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0476_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0476_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":476,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[200.3803,325.8327],[426.0,325.8327],[55.0,197.1673]]}
+{"canvas_size":[489,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0477","image_path":"images/angle_estimation_0477.png","interior_angles_degrees":[110.715961,22.465495,46.818544],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0477_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0477_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0477_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0477_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0477_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":477,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[114.2693,331.3598],[434.0,331.3598],[55.0,174.6402]]}
+{"canvas_size":[470,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0478","image_path":"images/angle_estimation_0478.png","interior_angles_degrees":[98.899946,39.794617,41.305436],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0478_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0478_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0478_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0478_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0478_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":478,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[101.9602,394.4417],[415.0,394.4417],[55.0,94.5583]]}
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+{"canvas_size":[475,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0480","image_path":"images/angle_estimation_0480.png","interior_angles_degrees":[110.217979,30.440875,39.341146],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0480_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0480_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0480_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0480_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0480_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":480,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[133.995,365.2472],[420.0,365.2472],[55.0,150.7528]]}
+{"angle_degrees":170.90844,"arc_sweep_degrees":170.90844,"canvas_size":[493,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0481","image_path":"images/angle_estimation_0481.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0481_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_0481_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0481_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"9","question_id":"angle_estimation_0481_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0481_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[154.3474,145.4439],[330.9317,334.6195]],"scene_type":"single","seed":481,"vertex":[246.5,259.0]}
+{"angle_degrees":112.199323,"arc_sweep_degrees":112.199323,"canvas_size":[483,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0482","image_path":"images/angle_estimation_0482.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0482_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_0482_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0482_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"68","question_id":"angle_estimation_0482_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0482_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[98.5191,227.0338],[326.8905,127.7285]],"scene_type":"single","seed":482,"vertex":[241.5,256.0]}
+{"angle_degrees":284.726712,"arc_sweep_degrees":284.726712,"canvas_size":[483,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0483","image_path":"images/angle_estimation_0483.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0483_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_0483_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0483_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"105","question_id":"angle_estimation_0483_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0483_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[376.9479,296.7044],[297.259,163.7581]],"scene_type":"single","seed":483,"vertex":[241.5,258.5]}
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+{"angle_degrees":117.000039,"arc_sweep_degrees":117.000039,"canvas_size":[488,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0487","image_path":"images/angle_estimation_0487.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0487_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_0487_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0487_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"63","question_id":"angle_estimation_0487_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0487_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[245.8373,76.774],[346.9495,302.3505]],"scene_type":"single","seed":487,"vertex":[244.0,248.5]}
+{"angle_degrees":256.600653,"arc_sweep_degrees":256.600653,"canvas_size":[457,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0488","image_path":"images/angle_estimation_0488.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0488_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_0488_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0488_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"77","question_id":"angle_estimation_0488_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0488_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[63.4965,216.7315],[230.8891,389.5141]],"scene_type":"single","seed":488,"vertex":[228.5,253.0]}
+{"angle_1_degrees":18.395554,"angle_2_degrees":67.703738,"angles":[{"angle_degrees":18.395554,"arc_sweep_degrees":18.395554,"ray_endpoints":[[129.4527,165.897],[175.1912,146.0717]],"vertex":[124.47,278.73]},{"angle_degrees":67.703738,"arc_sweep_degrees":67.703738,"ray_endpoints":[[410.1345,318.0799],[325.2338,389.3005]],"vertex":[336.53,278.73]}],"canvas_size":[461,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0489","image_path":"images/angle_estimation_0489.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0489_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0489_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0489_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0489_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0489_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":489}
+{"angle_1_degrees":137.566184,"angle_2_degrees":32.241305,"angles":[{"angle_degrees":137.566184,"arc_sweep_degrees":137.566184,"ray_endpoints":[[208.2234,243.2504],[74.3429,400.3491]],"vertex":[134.19,273.6]},{"angle_degrees":32.241305,"arc_sweep_degrees":32.241305,"ray_endpoints":[[370.4162,183.0212],[432.1647,181.7013]],"vertex":[362.81,273.6]}],"canvas_size":[497,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0490","image_path":"images/angle_estimation_0490.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0490_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0490_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0490_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0490_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0490_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":490}
+{"angle_1_degrees":85.3575,"angle_2_degrees":132.155341,"angles":[{"angle_degrees":85.3575,"arc_sweep_degrees":85.3575,"ray_endpoints":[[36.2464,233.1116],[172.8779,132.3147]],"vertex":[129.87,270.75]},{"angle_degrees":132.155341,"arc_sweep_degrees":132.155341,"ray_endpoints":[[263.334,298.6652],[409.4112,142.9641]],"vertex":[351.13,270.75]}],"canvas_size":[481,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0491","image_path":"images/angle_estimation_0491.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0491_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0491_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0491_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0491_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0491_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":491}
+{"angle_1_degrees":26.773037,"angle_2_degrees":68.740268,"angles":[{"angle_degrees":26.773037,"arc_sweep_degrees":26.773037,"ray_endpoints":[[218.4913,286.7579],[225.9458,334.8052]],"vertex":[132.03,285.0]},{"angle_degrees":68.740268,"arc_sweep_degrees":68.740268,"ray_endpoints":[[274.4028,298.005],[298.3938,184.3994]],"vertex":[356.97,285.0]}],"canvas_size":[489,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0492","image_path":"images/angle_estimation_0492.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0492_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0492_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0492_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0492_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0492_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":492}
+{"angle_1_degrees":103.728826,"angle_2_degrees":66.73132,"angles":[{"angle_degrees":103.728826,"arc_sweep_degrees":103.728826,"ray_endpoints":[[201.3396,198.7348],[198.9409,390.5563]],"vertex":[125.82,281.01]},{"angle_degrees":66.73132,"arc_sweep_degrees":66.73132,"ray_endpoints":[[358.3309,355.5542],[247.92,350.4154]],"vertex":[340.18,281.01]}],"canvas_size":[466,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0493","image_path":"images/angle_estimation_0493.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0493_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0493_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0493_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0493_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0493_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":493}
+{"angle_1_degrees":120.180467,"angle_2_degrees":111.81865,"angles":[{"angle_degrees":120.180467,"arc_sweep_degrees":120.180467,"ray_endpoints":[[115.5127,387.2015],[50.031,211.6999]],"vertex":[132.3,278.16]},{"angle_degrees":111.81865,"arc_sweep_degrees":111.81865,"ray_endpoints":[[411.796,211.1871],[416.697,383.4959]],"vertex":[357.7,278.16]}],"canvas_size":[490,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0494","image_path":"images/angle_estimation_0494.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0494_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0494_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0494_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0494_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0494_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":494}
+{"angle_1_degrees":14.928,"angle_2_degrees":87.118683,"angles":[{"angle_degrees":14.928,"arc_sweep_degrees":14.928,"ray_endpoints":[[120.116,339.8244],[88.1463,361.1797]],"vertex":[133.11,262.2]},{"angle_degrees":87.118683,"arc_sweep_degrees":87.118683,"ray_endpoints":[[465.8666,283.749],[341.413,384.1955]],"vertex":[359.89,262.2]}],"canvas_size":[493,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0495","image_path":"images/angle_estimation_0495.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0495_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0495_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0495_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0495_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0495_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":495}
+{"canvas_size":[496,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0496","image_path":"images/angle_estimation_0496.png","interior_angles_degrees":[67.271361,45.704971,67.023668],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0496_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0496_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0496_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0496_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0496_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":496,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,392.3923],[441.0,392.3923],[170.9441,115.6077]]}
+{"canvas_size":[466,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0497","image_path":"images/angle_estimation_0497.png","interior_angles_degrees":[69.49484,35.106971,75.398189],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0497_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0497_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0497_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0497_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0497_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":497,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,358.0829],[411.0,358.0829],[129.1115,159.9171]]}
+{"canvas_size":[480,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0498","image_path":"images/angle_estimation_0498.png","interior_angles_degrees":[50.177157,45.568475,84.254368],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0498_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0498_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0498_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0498_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0498_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":498,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,354.9736],[425.0,354.9736],[225.0602,151.0264]]}
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+{"angle_1_degrees":55.688175,"angle_2_degrees":77.133606,"angles":[{"angle_degrees":55.688175,"arc_sweep_degrees":55.688175,"ray_endpoints":[[83.2486,214.8015],[164.1874,173.0092]],"vertex":[133.11,276.45]},{"angle_degrees":77.133606,"arc_sweep_degrees":77.133606,"ray_endpoints":[[422.8253,214.5817],[478.4479,352.3393]],"vertex":[359.89,276.45]}],"canvas_size":[493,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0510","image_path":"images/angle_estimation_0510.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0510_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0510_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0510_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0510_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0510_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":510}
+{"angle_1_degrees":29.496677,"angle_2_degrees":48.963487,"angles":[{"angle_degrees":29.496677,"arc_sweep_degrees":29.496677,"ray_endpoints":[[106.5267,376.4445],[52.3279,361.6706]],"vertex":[123.12,273.03]},{"angle_degrees":48.963487,"arc_sweep_degrees":48.963487,"ray_endpoints":[[373.4563,172.0858],[437.0072,236.8954]],"vertex":[332.88,273.03]}],"canvas_size":[456,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0511","image_path":"images/angle_estimation_0511.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0511_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0511_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0511_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0511_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0511_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":511}
+{"angle_1_degrees":32.703447,"angle_2_degrees":152.335551,"angles":[{"angle_degrees":32.703447,"arc_sweep_degrees":32.703447,"ray_endpoints":[[139.9154,184.8455],[212.6942,179.6251]],"vertex":[121.77,272.46]},{"angle_degrees":152.335551,"arc_sweep_degrees":152.335551,"ray_endpoints":[[367.7276,198.019],[329.8671,387.0906]],"vertex":[329.23,272.46]}],"canvas_size":[451,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0512","image_path":"images/angle_estimation_0512.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0512_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0512_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_0512_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0512_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0512_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":512}
+{"angle_1_degrees":31.083842,"angle_2_degrees":108.849477,"angles":[{"angle_degrees":31.083842,"arc_sweep_degrees":31.083842,"ray_endpoints":[[98.371,362.7747],[31.7724,355.8144]],"vertex":[121.77,263.91]},{"angle_degrees":108.849477,"arc_sweep_degrees":108.849477,"ray_endpoints":[[299.9038,154.4613],[434.0218,270.9616]],"vertex":[329.23,263.91]}],"canvas_size":[451,463],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0513","image_path":"images/angle_estimation_0513.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0513_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0513_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0513_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0513_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0513_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":513}
+{"angle_1_degrees":52.299781,"angle_2_degrees":37.184998,"angles":[{"angle_degrees":52.299781,"arc_sweep_degrees":52.299781,"ray_endpoints":[[68.6692,172.999],[169.8068,133.1984]],"vertex":[127.44,260.49]},{"angle_degrees":37.184998,"arc_sweep_degrees":37.184998,"ray_endpoints":[[361.4136,371.0761],[289.1776,362.4083]],"vertex":[344.56,260.49]}],"canvas_size":[472,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0514","image_path":"images/angle_estimation_0514.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0514_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0514_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0514_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0514_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0514_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":514}
+{"angle_1_degrees":25.220781,"angle_2_degrees":159.237431,"angles":[{"angle_degrees":25.220781,"arc_sweep_degrees":25.220781,"ray_endpoints":[[149.8921,176.1915],[200.5219,178.8649]],"vertex":[124.2,266.19]},{"angle_degrees":159.237431,"arc_sweep_degrees":159.237431,"ray_endpoints":[[389.7741,360.6072],[253.3536,198.2681]],"vertex":[335.8,266.19]}],"canvas_size":[460,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0515","image_path":"images/angle_estimation_0515.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0515_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0515_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_0515_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0515_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0515_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":515}
+{"canvas_size":[496,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0516","image_path":"images/angle_estimation_0516.png","interior_angles_degrees":[90.59146,46.951425,42.457115],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0516_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0516_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0516_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0516_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0516_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":516,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[81.2945,430.0],[418.4735,430.0],[77.5265,65.0]]}
+{"canvas_size":[477,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0517","image_path":"images/angle_estimation_0517.png","interior_angles_degrees":[89.786123,27.46776,62.746117],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0517_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0517_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0517_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0517_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0517_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":517,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,358.2081],[422.0,358.2081],[55.7108,167.7919]]}
+{"canvas_size":[473,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0518","image_path":"images/angle_estimation_0518.png","interior_angles_degrees":[90.158221,42.579159,47.26262],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0518_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0518_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0518_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0518_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0518_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":518,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.9211,423.276],[418.0,423.276],[55.0,89.724]]}
+{"canvas_size":[488,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0519","image_path":"images/angle_estimation_0519.png","interior_angles_degrees":[89.626565,39.114786,51.258648],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0519_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0519_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0519_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0519_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0519_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":519,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,406.867],[433.0,406.867],[56.9927,101.133]]}
+{"canvas_size":[450,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0520","image_path":"images/angle_estimation_0520.png","interior_angles_degrees":[89.770442,42.421859,47.807699],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0520_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0520_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0520_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0520_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0520_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":520,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,396.2836],[395.0,396.2836],[56.2403,86.7164]]}
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+{"angle_degrees":141.316581,"arc_sweep_degrees":141.316581,"canvas_size":[454,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0522","image_path":"images/angle_estimation_0522.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0522_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_0522_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0522_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"39","question_id":"angle_estimation_0522_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0522_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[393.3113,266.1798],[105.7154,317.1263]],"scene_type":"single","seed":522,"vertex":[227.0,244.0]}
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+{"angle_degrees":287.884616,"arc_sweep_degrees":287.884616,"canvas_size":[500,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0528","image_path":"images/angle_estimation_0528.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0528_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_0528_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0528_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"108","question_id":"angle_estimation_0528_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0528_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[99.5338,268.2525],[237.0838,348.4587]],"scene_type":"single","seed":528,"vertex":[250.0,238.5]}
+{"angle_1_degrees":129.066225,"angle_2_degrees":142.603232,"angles":[{"angle_degrees":129.066225,"arc_sweep_degrees":129.066225,"ray_endpoints":[[30.7068,312.4408],[161.2256,132.9635]],"vertex":[132.57,261.63]},{"angle_degrees":142.603232,"arc_sweep_degrees":142.603232,"ray_endpoints":[[360.1349,158.2243],[430.9656,359.8275]],"vertex":[358.43,261.63]}],"canvas_size":[491,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0529","image_path":"images/angle_estimation_0529.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0529_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0529_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0529_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0529_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0529_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":529}
+{"angle_1_degrees":24.560368,"angle_2_degrees":72.934751,"angles":[{"angle_degrees":24.560368,"arc_sweep_degrees":24.560368,"ray_endpoints":[[50.6685,230.8128],[51.859,183.5737]],"vertex":[127.17,259.92]},{"angle_degrees":72.934751,"arc_sweep_degrees":72.934751,"ray_endpoints":[[295.4586,158.1856],[442.0131,169.9681]],"vertex":[343.83,259.92]}],"canvas_size":[471,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0530","image_path":"images/angle_estimation_0530.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0530_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0530_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0530_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0530_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0530_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":530}
+{"angle_1_degrees":103.532949,"angle_2_degrees":79.639885,"angles":[{"angle_degrees":103.532949,"arc_sweep_degrees":103.532949,"ray_endpoints":[[27.4747,307.0187],[133.5455,172.4206]],"vertex":[133.92,281.01]},{"angle_degrees":79.639885,"arc_sweep_degrees":79.639885,"ray_endpoints":[[409.5841,353.3203],[280.354,359.008]],"vertex":[362.08,281.01]}],"canvas_size":[496,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0531","image_path":"images/angle_estimation_0531.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0531_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0531_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0531_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0531_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0531_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":531}
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+{"angle_1_degrees":75.965994,"angle_2_degrees":18.05083,"angles":[{"angle_degrees":75.965994,"arc_sweep_degrees":75.965994,"ray_endpoints":[[62.2385,322.5635],[34.0745,200.2619]],"vertex":[127.98,262.2]},{"angle_degrees":18.05083,"arc_sweep_degrees":18.05083,"ray_endpoints":[[421.151,326.2943],[420.739,384.218]],"vertex":[346.02,262.2]}],"canvas_size":[474,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0533","image_path":"images/angle_estimation_0533.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0533_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0533_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0533_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0533_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0533_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":533}
+{"angle_1_degrees":50.022158,"angle_2_degrees":137.625738,"angles":[{"angle_degrees":50.022158,"arc_sweep_degrees":50.022158,"ray_endpoints":[[204.1097,270.595],[203.8286,353.0159]],"vertex":[128.79,276.45]},{"angle_degrees":137.625738,"arc_sweep_degrees":137.625738,"ray_endpoints":[[435.252,249.384],[292.225,372.0557]],"vertex":[348.21,276.45]}],"canvas_size":[477,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0534","image_path":"images/angle_estimation_0534.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0534_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0534_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_0534_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0534_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0534_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":534}
+{"angle_1_degrees":72.500204,"angle_2_degrees":159.265813,"angles":[{"angle_degrees":72.500204,"arc_sweep_degrees":72.500204,"ray_endpoints":[[203.8449,208.0282],[215.5989,333.4343]],"vertex":[123.93,271.32]},{"angle_degrees":159.265813,"arc_sweep_degrees":159.265813,"ray_endpoints":[[254.9667,340.5937],[388.012,173.4565]],"vertex":[335.07,271.32]}],"canvas_size":[459,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0535","image_path":"images/angle_estimation_0535.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0535_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0535_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_0535_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0535_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0535_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":535}
+{"canvas_size":[497,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0536","image_path":"images/angle_estimation_0536.png","interior_angles_degrees":[121.455223,28.627606,29.917172],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0536_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0536_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0536_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0536_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0536_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":536,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[184.2218,351.6206],[442.0,351.6206],[55.0,140.3794]]}
+{"canvas_size":[496,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0537","image_path":"images/angle_estimation_0537.png","interior_angles_degrees":[107.369281,27.401779,45.228941],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0537_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0537_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0537_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0537_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0537_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":537,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[117.5893,354.0493],[441.0,354.0493],[55.0,153.9507]]}
+{"canvas_size":[467,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0538","image_path":"images/angle_estimation_0538.png","interior_angles_degrees":[114.785827,29.131108,36.083066],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0538_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0538_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0538_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0538_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0538_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":538,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[146.8716,348.4788],[412.0,348.4788],[55.0,149.5212]]}
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+{"canvas_size":[489,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0540","image_path":"images/angle_estimation_0540.png","interior_angles_degrees":[99.210767,30.781465,50.007768],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0540_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0540_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0540_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0540_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0540_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":540,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[91.6092,372.3816],[434.0,372.3816],[55.0,146.6184]]}
+{"angle_degrees":169.179357,"arc_sweep_degrees":169.179357,"canvas_size":[472,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0541","image_path":"images/angle_estimation_0541.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0541_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_0541_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0541_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"11","question_id":"angle_estimation_0541_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0541_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[160.7617,345.8122],[282.6626,131.408]],"scene_type":"single","seed":541,"vertex":[236.0,237.0]}
+{"angle_degrees":65.123201,"arc_sweep_degrees":65.123201,"canvas_size":[480,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0542","image_path":"images/angle_estimation_0542.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0542_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_0542_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0542_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"115","question_id":"angle_estimation_0542_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0542_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[151.0921,341.3313],[113.4499,202.9483]],"scene_type":"single","seed":542,"vertex":[240.0,240.5]}
+{"angle_degrees":40.776819,"arc_sweep_degrees":40.776819,"canvas_size":[491,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0543","image_path":"images/angle_estimation_0543.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0543_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_0543_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0543_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"139","question_id":"angle_estimation_0543_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0543_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[308.6315,89.6077],[371.2665,178.0572]],"scene_type":"single","seed":543,"vertex":[245.5,241.0]}
+{"angle_degrees":105.036288,"arc_sweep_degrees":105.036288,"canvas_size":[492,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0544","image_path":"images/angle_estimation_0544.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0544_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_0544_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0544_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"75","question_id":"angle_estimation_0544_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0544_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[378.5358,214.4555],[256.4315,399.2765]],"scene_type":"single","seed":544,"vertex":[246.0,261.0]}
+{"angle_degrees":179.999995,"arc_sweep_degrees":179.999995,"canvas_size":[463,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0545","image_path":"images/angle_estimation_0545.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0545_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_0545_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0545_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_0545_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0545_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[400.7703,254.3882],[87.9519,259.2149]],"scene_type":"single","seed":545,"vertex":[231.5,257.0]}
+{"angle_degrees":144.879828,"arc_sweep_degrees":144.879828,"canvas_size":[450,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0546","image_path":"images/angle_estimation_0546.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0546_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_0546_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0546_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"35","question_id":"angle_estimation_0546_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0546_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[99.3182,359.5115],[257.8182,99.4853]],"scene_type":"single","seed":546,"vertex":[225.0,245.5]}
+{"angle_degrees":249.130209,"arc_sweep_degrees":249.130209,"canvas_size":[452,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0547","image_path":"images/angle_estimation_0547.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0547_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_0547_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0547_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"69","question_id":"angle_estimation_0547_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0547_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[101.3061,304.2206],[326.5526,328.0196]],"scene_type":"single","seed":547,"vertex":[226.0,239.0]}
+{"angle_degrees":60.326943,"arc_sweep_degrees":60.326943,"canvas_size":[452,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0548","image_path":"images/angle_estimation_0548.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0548_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_0548_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0548_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_0548_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0548_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[351.7807,209.6493],[312.6552,332.9823]],"scene_type":"single","seed":548,"vertex":[226.0,238.0]}
+{"angle_1_degrees":65.57705,"angle_2_degrees":31.370846,"angles":[{"angle_degrees":65.57705,"arc_sweep_degrees":65.57705,"ray_endpoints":[[209.1323,254.9836],[206.0509,387.3332]],"vertex":[132.57,263.34]},{"angle_degrees":31.370846,"arc_sweep_degrees":31.370846,"ray_endpoints":[[405.2311,166.9255],[463.3734,195.8731]],"vertex":[358.43,263.34]}],"canvas_size":[491,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0549","image_path":"images/angle_estimation_0549.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0549_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0549_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0549_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0549_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0549_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":549}
+{"angle_1_degrees":56.396657,"angle_2_degrees":133.760041,"angles":[{"angle_degrees":56.396657,"arc_sweep_degrees":56.396657,"ray_endpoints":[[76.2254,205.8341],[170.5207,148.9304]],"vertex":[129.6,273.6]},{"angle_degrees":133.760041,"arc_sweep_degrees":133.760041,"ray_endpoints":[[450.6561,265.674],[274.3462,366.7191]],"vertex":[350.4,273.6]}],"canvas_size":[480,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0550","image_path":"images/angle_estimation_0550.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0550_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0550_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0550_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0550_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0550_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":550}
+{"angle_1_degrees":117.413862,"angle_2_degrees":140.710066,"angles":[{"angle_degrees":117.413862,"arc_sweep_degrees":117.413862,"ray_endpoints":[[205.7361,278.4033],[79.3066,382.7129]],"vertex":[130.14,279.87]},{"angle_degrees":140.710066,"arc_sweep_degrees":140.710066,"ray_endpoints":[[397.3974,201.1482],[373.5999,413.4715]],"vertex":[351.86,279.87]}],"canvas_size":[482,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0551","image_path":"images/angle_estimation_0551.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0551_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0551_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0551_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0551_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0551_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":551}
+{"angle_1_degrees":68.859126,"angle_2_degrees":23.286798,"angles":[{"angle_degrees":68.859126,"arc_sweep_degrees":68.859126,"ray_endpoints":[[52.9256,327.0258],[23.065,210.4334]],"vertex":[121.77,283.29]},{"angle_degrees":23.286798,"arc_sweep_degrees":23.286798,"ray_endpoints":[[323.9735,369.467],[270.1742,400.3157]],"vertex":[329.23,283.29]}],"canvas_size":[451,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0552","image_path":"images/angle_estimation_0552.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0552_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0552_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0552_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0552_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0552_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":552}
+{"angle_1_degrees":37.873947,"angle_2_degrees":141.874916,"angles":[{"angle_degrees":37.873947,"arc_sweep_degrees":37.873947,"ray_endpoints":[[227.8582,274.5312],[215.2225,351.9988]],"vertex":[129.6,257.07]},{"angle_degrees":141.874916,"arc_sweep_degrees":141.874916,"ray_endpoints":[[277.0268,293.9274],[406.801,137.2295]],"vertex":[350.4,257.07]}],"canvas_size":[480,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0553","image_path":"images/angle_estimation_0553.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0553_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0553_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_0553_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0553_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0553_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":553}
+{"angle_1_degrees":55.595399,"angle_2_degrees":148.035938,"angles":[{"angle_degrees":55.595399,"arc_sweep_degrees":55.595399,"ray_endpoints":[[203.9514,292.6204],[169.3212,402.5723]],"vertex":[130.14,268.47]},{"angle_degrees":148.035938,"arc_sweep_degrees":148.035938,"ray_endpoints":[[265.2002,214.6728],[464.4847,268.2093]],"vertex":[351.86,268.47]}],"canvas_size":[482,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0554","image_path":"images/angle_estimation_0554.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0554_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0554_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_0554_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0554_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0554_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":554}
+{"angle_1_degrees":29.991945,"angle_2_degrees":62.179495,"angles":[{"angle_degrees":29.991945,"arc_sweep_degrees":29.991945,"ray_endpoints":[[120.2315,364.9165],[49.5446,383.7398]],"vertex":[124.74,266.19]},{"angle_degrees":62.179495,"arc_sweep_degrees":62.179495,"ray_endpoints":[[278.8412,200.4791],[385.3979,137.7232]],"vertex":[337.26,266.19]}],"canvas_size":[462,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0555","image_path":"images/angle_estimation_0555.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0555_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0555_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0555_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0555_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0555_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":555}
+{"canvas_size":[494,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0556","image_path":"images/angle_estimation_0556.png","interior_angles_degrees":[62.680838,65.809179,51.509983],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0556_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0556_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0556_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0556_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0556_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":556,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[63.5004,445.0],[430.4996,445.0],[259.794,65.0]]}
+{"canvas_size":[451,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0557","image_path":"images/angle_estimation_0557.png","interior_angles_degrees":[60.407061,71.875022,47.717917],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0557_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0557_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0557_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0557_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0557_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":557,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,446.4498],[396.0,446.4498],[271.319,65.5502]]}
+{"canvas_size":[474,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0558","image_path":"images/angle_estimation_0558.png","interior_angles_degrees":[47.739203,52.971537,79.289259],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0558_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0558_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0558_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0558_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0558_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":558,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,357.4399],[419.0,357.4399],[253.8917,138.5601]]}
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+{"canvas_size":[498,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0560","image_path":"images/angle_estimation_0560.png","interior_angles_degrees":[66.385408,41.458098,72.156494],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0560_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0560_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0560_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0560_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0560_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":560,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,383.6335],[443.0,383.6335],[163.1033,136.3665]]}
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+{"angle_degrees":249.16216,"arc_sweep_degrees":249.16216,"canvas_size":[497,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0562","image_path":"images/angle_estimation_0562.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0562_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_0562_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0562_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"69","question_id":"angle_estimation_0562_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0562_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[402.0899,305.7954],[247.4691,93.1629]],"scene_type":"single","seed":562,"vertex":[248.5,248.5]}
+{"angle_degrees":305.620567,"arc_sweep_degrees":305.620567,"canvas_size":[483,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0563","image_path":"images/angle_estimation_0563.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0563_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_0563_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0563_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"126","question_id":"angle_estimation_0563_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0563_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[373.5436,213.4746],[270.5599,159.2758]],"scene_type":"single","seed":563,"vertex":[241.5,260.5]}
+{"angle_degrees":248.438139,"arc_sweep_degrees":248.438139,"canvas_size":[468,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0564","image_path":"images/angle_estimation_0564.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0564_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_0564_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0564_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"68","question_id":"angle_estimation_0564_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0564_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[154.8836,343.3269],[359.4625,280.6333]],"scene_type":"single","seed":564,"vertex":[234.0,243.0]}
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+{"angle_degrees":171.619703,"arc_sweep_degrees":171.619703,"canvas_size":[459,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0567","image_path":"images/angle_estimation_0567.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0567_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_0567_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0567_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"8","question_id":"angle_estimation_0567_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0567_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[213.5727,79.5843],[266.5494,397.6696]],"scene_type":"single","seed":567,"vertex":[229.5,247.0]}
+{"angle_degrees":192.74526,"arc_sweep_degrees":192.74526,"canvas_size":[456,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0568","image_path":"images/angle_estimation_0568.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0568_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0568_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0568_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"13","question_id":"angle_estimation_0568_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0568_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[204.6444,402.5144],[286.5061,84.1868]],"scene_type":"single","seed":568,"vertex":[228.0,238.0]}
+{"angle_1_degrees":52.20515,"angle_2_degrees":116.708752,"angles":[{"angle_degrees":52.20515,"arc_sweep_degrees":52.20515,"ray_endpoints":[[44.9604,231.7376],[107.1336,146.7263]],"vertex":[132.03,275.88]},{"angle_degrees":116.708752,"arc_sweep_degrees":116.708752,"ray_endpoints":[[377.3016,183.1536],[443.9115,346.4749]],"vertex":[356.97,275.88]}],"canvas_size":[489,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0569","image_path":"images/angle_estimation_0569.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0569_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0569_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0569_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0569_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0569_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":569}
+{"angle_1_degrees":168.885135,"angle_2_degrees":51.798358,"angles":[{"angle_degrees":168.885135,"arc_sweep_degrees":168.885135,"ray_endpoints":[[55.6687,333.3901],[184.08,167.0726]],"vertex":[122.58,263.34]},{"angle_degrees":51.798358,"arc_sweep_degrees":51.798358,"ray_endpoints":[[430.0141,311.8738],[356.5375,381.5844]],"vertex":[331.42,263.34]}],"canvas_size":[454,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0570","image_path":"images/angle_estimation_0570.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0570_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0570_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_0570_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0570_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0570_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":570}
+{"angle_1_degrees":61.886169,"angle_2_degrees":16.324396,"angles":[{"angle_degrees":61.886169,"arc_sweep_degrees":61.886169,"ray_endpoints":[[213.3792,250.9133],[188.9949,350.566]],"vertex":[123.93,265.62]},{"angle_degrees":16.324396,"arc_sweep_degrees":16.324396,"ray_endpoints":[[293.624,368.7311],[255.2973,366.9119]],"vertex":[335.07,265.62]}],"canvas_size":[459,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0571","image_path":"images/angle_estimation_0571.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0571_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0571_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0571_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0571_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0571_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":571}
+{"angle_1_degrees":163.35579,"angle_2_degrees":22.816923,"angles":[{"angle_degrees":163.35579,"arc_sweep_degrees":163.35579,"ray_endpoints":[[169.1219,343.2652],[21.6031,177.501]],"vertex":[125.01,270.75]},{"angle_degrees":22.816923,"arc_sweep_degrees":22.816923,"ray_endpoints":[[268.2381,213.6007],[273.9825,149.6286]],"vertex":[337.99,270.75]}],"canvas_size":[463,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0572","image_path":"images/angle_estimation_0572.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0572_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0572_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_0572_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0572_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0572_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":572}
+{"angle_1_degrees":114.147017,"angle_2_degrees":144.355215,"angles":[{"angle_degrees":114.147017,"arc_sweep_degrees":114.147017,"ray_endpoints":[[25.8689,248.8752],[204.8514,202.2797]],"vertex":[133.38,282.72]},{"angle_degrees":144.355215,"arc_sweep_degrees":144.355215,"ray_endpoints":[[445.1153,238.9997],[295.773,410.0066]],"vertex":[360.62,282.72]}],"canvas_size":[494,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0573","image_path":"images/angle_estimation_0573.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0573_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0573_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0573_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0573_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0573_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":573}
+{"angle_1_degrees":22.610592,"angle_2_degrees":76.107026,"angles":[{"angle_degrees":22.610592,"arc_sweep_degrees":22.610592,"ray_endpoints":[[26.2217,265.9995],[14.5726,215.227]],"vertex":[126.63,277.02]},{"angle_degrees":76.107026,"arc_sweep_degrees":76.107026,"ray_endpoints":[[411.523,345.9536],[282.8544,376.008]],"vertex":[342.37,277.02]}],"canvas_size":[469,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0574","image_path":"images/angle_estimation_0574.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0574_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0574_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0574_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0574_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0574_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":574}
+{"angle_1_degrees":158.433356,"angle_2_degrees":27.692297,"angles":[{"angle_degrees":158.433356,"arc_sweep_degrees":158.433356,"ray_endpoints":[[185.929,209.2695],[88.1028,408.2752]],"vertex":[126.63,283.29]},{"angle_degrees":27.692297,"arc_sweep_degrees":27.692297,"ray_endpoints":[[312.8716,380.6158],[259.8582,367.0971]],"vertex":[342.37,283.29]}],"canvas_size":[469,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0575","image_path":"images/angle_estimation_0575.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0575_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0575_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_0575_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0575_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0575_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":575}
+{"canvas_size":[498,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0576","image_path":"images/angle_estimation_0576.png","interior_angles_degrees":[89.977044,26.767171,63.255785],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0576_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0576_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0576_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0576_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0576_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":576,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,359.3372],[443.0,359.3372],[55.0784,163.6628]]}
+{"canvas_size":[475,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0577","image_path":"images/angle_estimation_0577.png","interior_angles_degrees":[89.652929,35.610283,54.736788],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0577_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0577_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0577_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0577_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0577_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":577,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,381.1421],[420.0,381.1421],[56.5767,120.8579]]}
+{"canvas_size":[498,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0578","image_path":"images/angle_estimation_0578.png","interior_angles_degrees":[90.159494,50.912106,38.9284],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0578_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0578_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0578_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0578_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0578_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":578,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[100.5562,433.0],[398.4682,433.0],[99.5318,65.0]]}
+{"canvas_size":[470,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0579","image_path":"images/angle_estimation_0579.png","interior_angles_degrees":[90.488424,38.488132,51.023444],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0579_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0579_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0579_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0579_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0579_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":579,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[57.4401,395.6176],[415.0,395.6176],[55.0,109.3824]]}
+{"canvas_size":[483,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0580","image_path":"images/angle_estimation_0580.png","interior_angles_degrees":[90.72859,51.453407,37.818003],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0580_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0580_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0580_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0580_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0580_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":580,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[93.7902,448.0],[394.0804,448.0],[88.9196,65.0]]}
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+{"angle_1_degrees":76.896758,"angle_2_degrees":25.285013,"angles":[{"angle_degrees":76.896758,"arc_sweep_degrees":76.896758,"ray_endpoints":[[55.991,185.7047],[200.1501,144.9366]],"vertex":[121.77,258.21]},{"angle_degrees":25.285013,"arc_sweep_degrees":25.285013,"ray_endpoints":[[326.6693,355.1697],[275.0341,365.5097]],"vertex":[329.23,258.21]}],"canvas_size":[451,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0590","image_path":"images/angle_estimation_0590.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0590_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0590_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0590_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0590_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0590_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":590}
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+{"angle_1_degrees":161.181207,"angle_2_degrees":35.850359,"angles":[{"angle_degrees":161.181207,"arc_sweep_degrees":161.181207,"ray_endpoints":[[122.7411,192.1211],[165.398,399.4961]],"vertex":[122.58,273.03]},{"angle_degrees":35.850359,"arc_sweep_degrees":35.850359,"ray_endpoints":[[314.6917,346.6882],[242.0197,351.7206]],"vertex":[331.42,273.03]}],"canvas_size":[454,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0592","image_path":"images/angle_estimation_0592.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0592_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0592_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_0592_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0592_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0592_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":592}
+{"angle_1_degrees":75.611447,"angle_2_degrees":16.461802,"angles":[{"angle_degrees":75.611447,"arc_sweep_degrees":75.611447,"ray_endpoints":[[68.4911,342.9511],[29.7678,226.0685]],"vertex":[126.9,269.61]},{"angle_degrees":16.461802,"arc_sweep_degrees":16.461802,"ray_endpoints":[[404.5829,198.5836],[436.9609,209.4504]],"vertex":[343.1,269.61]}],"canvas_size":[470,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0593","image_path":"images/angle_estimation_0593.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0593_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0593_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0593_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0593_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0593_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":593}
+{"angle_1_degrees":38.312514,"angle_2_degrees":150.857721,"angles":[{"angle_degrees":38.312514,"arc_sweep_degrees":38.312514,"ray_endpoints":[[48.1024,271.0464],[16.137,182.5809]],"vertex":[123.66,273.6]},{"angle_degrees":150.857721,"arc_sweep_degrees":150.857721,"ray_endpoints":[[295.4569,190.3555],[432.9765,344.793]],"vertex":[334.34,273.6]}],"canvas_size":[458,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0594","image_path":"images/angle_estimation_0594.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0594_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0594_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0594_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0594_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0594_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":594}
+{"angle_1_degrees":112.861851,"angle_2_degrees":127.015909,"angles":[{"angle_degrees":112.861851,"arc_sweep_degrees":112.861851,"ray_endpoints":[[52.4798,277.021],[160.3496,159.9313]],"vertex":[127.44,269.04]},{"angle_degrees":127.015909,"arc_sweep_degrees":127.015909,"ray_endpoints":[[267.0661,317.5171],[354.1467,159.1864]],"vertex":[344.56,269.04]}],"canvas_size":[472,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0595","image_path":"images/angle_estimation_0595.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0595_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0595_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0595_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0595_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0595_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":595}
+{"canvas_size":[475,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0596","image_path":"images/angle_estimation_0596.png","interior_angles_degrees":[130.408878,16.456534,33.134588],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0596_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0596_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0596_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0596_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0596_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":596,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[146.7881,298.4084],[420.0,298.4084],[55.0,190.5916]]}
+{"canvas_size":[456,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0597","image_path":"images/angle_estimation_0597.png","interior_angles_degrees":[139.965046,15.987344,24.04761],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0597_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0597_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0597_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0597_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0597_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":597,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[172.9937,294.0656],[401.0,294.0656],[55.0,194.9344]]}
+{"canvas_size":[456,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0598","image_path":"images/angle_estimation_0598.png","interior_angles_degrees":[119.731706,29.078208,31.190086],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0598_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0598_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0598_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0598_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0598_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":598,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[164.8892,357.2044],[401.0,357.2044],[55.0,164.7956]]}
+{"canvas_size":[495,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0599","image_path":"images/angle_estimation_0599.png","interior_angles_degrees":[122.417481,31.411556,26.170963],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0599_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0599_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0599_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0599_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0599_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":599,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[204.307,358.5558],[440.0,358.5558],[55.0,123.4442]]}
+{"canvas_size":[466,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0600","image_path":"images/angle_estimation_0600.png","interior_angles_degrees":[104.313254,34.19199,41.494757],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0600_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0600_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0600_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0600_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0600_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":600,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[116.7101,371.9323],[411.0,371.9323],[55.0,130.0677]]}
+{"angle_degrees":202.861661,"arc_sweep_degrees":202.861661,"canvas_size":[462,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0601","image_path":"images/angle_estimation_0601.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0601_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_0601_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0601_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"23","question_id":"angle_estimation_0601_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0601_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[210.1275,98.137],[201.2935,366.0126]],"scene_type":"single","seed":601,"vertex":[231.0,258.5]}
+{"angle_degrees":123.820262,"arc_sweep_degrees":123.820262,"canvas_size":[475,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0602","image_path":"images/angle_estimation_0602.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0602_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_0602_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0602_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"56","question_id":"angle_estimation_0602_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0602_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[107.9069,145.6723],[362.6914,198.3791]],"scene_type":"single","seed":602,"vertex":[237.5,242.5]}
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+{"angle_degrees":319.861876,"arc_sweep_degrees":319.861876,"canvas_size":[454,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0604","image_path":"images/angle_estimation_0604.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0604_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_0604_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0604_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"140","question_id":"angle_estimation_0604_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0604_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[163.888,92.1861],[113.978,185.0299]],"scene_type":"single","seed":604,"vertex":[227.0,243.0]}
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+{"angle_degrees":310.909217,"arc_sweep_degrees":310.909217,"canvas_size":[458,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0608","image_path":"images/angle_estimation_0608.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0608_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_0608_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0608_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"131","question_id":"angle_estimation_0608_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0608_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[369.7458,181.2351],[257.5657,126.9913]],"scene_type":"single","seed":608,"vertex":[229.0,258.0]}
+{"angle_1_degrees":59.49314,"angle_2_degrees":37.945016,"angles":[{"angle_degrees":59.49314,"arc_sweep_degrees":59.49314,"ray_endpoints":[[181.854,364.9163],[74.9942,375.9581]],"vertex":[132.3,277.02]},{"angle_degrees":37.945016,"arc_sweep_degrees":37.945016,"ray_endpoints":[[441.125,251.0046],[456.4275,314.1791]],"vertex":[357.7,277.02]}],"canvas_size":[490,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0609","image_path":"images/angle_estimation_0609.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0609_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0609_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0609_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0609_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0609_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":609}
+{"angle_1_degrees":147.053913,"angle_2_degrees":33.937241,"angles":[{"angle_degrees":147.053913,"arc_sweep_degrees":147.053913,"ray_endpoints":[[109.609,378.3524],[76.1765,144.5633]],"vertex":[129.06,271.32]},{"angle_degrees":33.937241,"arc_sweep_degrees":33.937241,"ray_endpoints":[[411.424,347.1298],[362.3491,409.0964]],"vertex":[348.94,271.32]}],"canvas_size":[478,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0610","image_path":"images/angle_estimation_0610.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0610_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0610_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0610_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0610_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0610_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":610}
+{"angle_1_degrees":110.659041,"angle_2_degrees":162.529866,"angles":[{"angle_degrees":110.659041,"arc_sweep_degrees":110.659041,"ray_endpoints":[[44.6528,290.0641],[143.5326,163.2309]],"vertex":[130.68,269.04]},{"angle_degrees":162.529866,"arc_sweep_degrees":162.529866,"ray_endpoints":[[401.5096,350.3893],[258.701,184.1782]],"vertex":[353.32,269.04]}],"canvas_size":[484,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0611","image_path":"images/angle_estimation_0611.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0611_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0611_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0611_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0611_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0611_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":611}
+{"angle_1_degrees":65.950971,"angle_2_degrees":31.933745,"angles":[{"angle_degrees":65.950971,"arc_sweep_degrees":65.950971,"ray_endpoints":[[27.4812,279.7541],[48.5726,146.918]],"vertex":[125.28,263.91]},{"angle_degrees":31.933745,"arc_sweep_degrees":31.933745,"ray_endpoints":[[266.0837,178.7081],[317.4147,121.5993]],"vertex":[338.72,263.91]}],"canvas_size":[464,463],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0612","image_path":"images/angle_estimation_0612.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0612_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0612_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0612_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0612_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0612_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":612}
+{"angle_1_degrees":169.603511,"angle_2_degrees":12.364483,"angles":[{"angle_degrees":169.603511,"arc_sweep_degrees":169.603511,"ray_endpoints":[[66.8218,182.1747],[215.3457,343.3801]],"vertex":[126.09,261.06]},{"angle_degrees":12.364483,"arc_sweep_degrees":12.364483,"ray_endpoints":[[375.813,193.283],[417.5934,168.4036]],"vertex":[340.91,261.06]}],"canvas_size":[467,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0613","image_path":"images/angle_estimation_0613.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0613_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0613_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"160","question_id":"angle_estimation_0613_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0613_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0613_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":613}
+{"angle_1_degrees":106.387146,"angle_2_degrees":41.042344,"angles":[{"angle_degrees":106.387146,"arc_sweep_degrees":106.387146,"ray_endpoints":[[216.5328,226.502],[139.8877,391.2936]],"vertex":[125.82,264.48]},{"angle_degrees":41.042344,"arc_sweep_degrees":41.042344,"ray_endpoints":[[438.0128,262.8424],[424.5134,335.4535]],"vertex":[340.18,264.48]}],"canvas_size":[466,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0614","image_path":"images/angle_estimation_0614.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0614_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0614_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0614_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0614_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0614_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":614}
+{"angle_1_degrees":33.076731,"angle_2_degrees":56.140138,"angles":[{"angle_degrees":33.076731,"arc_sweep_degrees":33.076731,"ray_endpoints":[[42.9431,237.6722],[63.8373,183.6528]],"vertex":[125.28,270.18]},{"angle_degrees":56.140138,"arc_sweep_degrees":56.140138,"ray_endpoints":[[371.4138,352.715],[260.5191,383.8329]],"vertex":[338.72,270.18]}],"canvas_size":[464,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0615","image_path":"images/angle_estimation_0615.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0615_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0615_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0615_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0615_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0615_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":615}
+{"canvas_size":[451,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0616","image_path":"images/angle_estimation_0616.png","interior_angles_degrees":[68.953069,38.746567,72.300364],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0616_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0616_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0616_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0616_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0616_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":616,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,366.5415],[396.0,366.5415],[135.456,157.4585]]}
+{"canvas_size":[494,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0617","image_path":"images/angle_estimation_0617.png","interior_angles_degrees":[50.824209,68.596658,60.579133],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0617_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0617_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0617_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0617_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0617_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":617,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,414.0932],[439.0,414.0932],[314.2827,95.9068]]}
+{"canvas_size":[479,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0618","image_path":"images/angle_estimation_0618.png","interior_angles_degrees":[56.558295,36.884308,86.557397],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0618_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0618_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0618_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0618_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0618_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":618,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,353.5713],[424.0,353.5713],[177.2725,168.4287]]}
+{"canvas_size":[482,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0619","image_path":"images/angle_estimation_0619.png","interior_angles_degrees":[57.60204,34.65167,87.74629],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0619_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0619_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0619_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0619_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0619_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":619,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,329.3647],[427.0,329.3647],[168.4162,150.6353]]}
+{"canvas_size":[464,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0620","image_path":"images/angle_estimation_0620.png","interior_angles_degrees":[62.064724,59.884645,58.050631],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0620_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0620_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0620_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0620_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0620_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":620,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,412.9165],[409.0,412.9165],[224.0648,94.0835]]}
+{"angle_degrees":222.063066,"arc_sweep_degrees":222.063066,"canvas_size":[470,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0621","image_path":"images/angle_estimation_0621.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0621_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_0621_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0621_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"42","question_id":"angle_estimation_0621_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0621_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[123.4892,345.8596],[392.0049,265.7068]],"scene_type":"single","seed":621,"vertex":[235.0,256.5]}
+{"angle_degrees":343.484321,"arc_sweep_degrees":343.484321,"canvas_size":[468,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0622","image_path":"images/angle_estimation_0622.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0622_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_0622_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0622_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"163","question_id":"angle_estimation_0622_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0622_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[383.6972,233.1972],[351.2805,199.1573]],"scene_type":"single","seed":622,"vertex":[234.0,238.5]}
+{"angle_degrees":67.9789,"arc_sweep_degrees":67.9789,"canvas_size":[452,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0623","image_path":"images/angle_estimation_0623.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0623_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_0623_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0623_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"112","question_id":"angle_estimation_0623_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0623_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[348.5915,286.2794],[237.3563,376.0727]],"scene_type":"single","seed":623,"vertex":[226.0,249.0]}
+{"angle_degrees":109.71193,"arc_sweep_degrees":109.71193,"canvas_size":[462,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0624","image_path":"images/angle_estimation_0624.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0624_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_0624_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0624_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"70","question_id":"angle_estimation_0624_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0624_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[67.8542,214.0054],[290.0838,127.2468]],"scene_type":"single","seed":624,"vertex":[231.0,238.0]}
+{"angle_degrees":119.999991,"arc_sweep_degrees":119.999991,"canvas_size":[476,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0625","image_path":"images/angle_estimation_0625.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0625_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_0625_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0625_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"60","question_id":"angle_estimation_0625_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0625_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[109.1194,331.7529],[230.4036,134.862]],"scene_type":"single","seed":625,"vertex":[238.0,245.0]}
+{"angle_degrees":51.410989,"arc_sweep_degrees":51.410989,"canvas_size":[473,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0626","image_path":"images/angle_estimation_0626.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0626_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_0626_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0626_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"129","question_id":"angle_estimation_0626_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0626_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[249.8595,136.2026],[331.8361,200.7572]],"scene_type":"single","seed":626,"vertex":[236.5,261.5]}
+{"angle_degrees":209.880634,"arc_sweep_degrees":209.880634,"canvas_size":[466,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0627","image_path":"images/angle_estimation_0627.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0627_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_0627_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0627_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"30","question_id":"angle_estimation_0627_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0627_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[334.1434,343.7608],[195.8605,160.6124]],"scene_type":"single","seed":627,"vertex":[233.0,260.0]}
+{"angle_degrees":196.930196,"arc_sweep_degrees":196.930196,"canvas_size":[475,455],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0628","image_path":"images/angle_estimation_0628.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0628_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0628_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0628_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"17","question_id":"angle_estimation_0628_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0628_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[338.8038,365.4598],[187.9042,115.9893]],"scene_type":"single","seed":628,"vertex":[237.5,239.5]}
+{"angle_1_degrees":106.403481,"angle_2_degrees":62.992481,"angles":[{"angle_degrees":106.403481,"arc_sweep_degrees":106.403481,"ray_endpoints":[[197.9159,318.3401],[40.917,335.9249]],"vertex":[122.31,267.9]},{"angle_degrees":62.992481,"arc_sweep_degrees":62.992481,"ray_endpoints":[[296.2281,175.9581],[410.9101,180.1873]],"vertex":[330.69,267.9]}],"canvas_size":[453,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0629","image_path":"images/angle_estimation_0629.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0629_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0629_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0629_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0629_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0629_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":629}
+{"angle_1_degrees":107.159262,"angle_2_degrees":43.88759,"angles":[{"angle_degrees":107.159262,"arc_sweep_degrees":107.159262,"ray_endpoints":[[53.5964,332.6556],[66.7634,133.3684]],"vertex":[129.33,261.63]},{"angle_degrees":43.88759,"arc_sweep_degrees":43.88759,"ray_endpoints":[[374.3096,348.2536],[298.6245,357.5943]],"vertex":[349.67,261.63]}],"canvas_size":[479,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0630","image_path":"images/angle_estimation_0630.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0630_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0630_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0630_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0630_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0630_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":630}
+{"angle_1_degrees":75.486787,"angle_2_degrees":15.63449,"angles":[{"angle_degrees":75.486787,"arc_sweep_degrees":75.486787,"ray_endpoints":[[62.856,319.8325],[39.2812,188.8414]],"vertex":[135.0,266.76]},{"angle_degrees":15.63449,"arc_sweep_degrees":15.63449,"ray_endpoints":[[373.8245,190.562],[417.8682,137.4717]],"vertex":[365.0,266.76]}],"canvas_size":[500,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0631","image_path":"images/angle_estimation_0631.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0631_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0631_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0631_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0631_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0631_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":631}
+{"angle_1_degrees":161.487724,"angle_2_degrees":15.692449,"angles":[{"angle_degrees":161.487724,"arc_sweep_degrees":161.487724,"ray_endpoints":[[222.7183,318.5064],[12.8255,241.9147]],"vertex":[127.71,264.48]},{"angle_degrees":15.692449,"arc_sweep_degrees":15.692449,"ray_endpoints":[[284.1094,203.7991],[284.4356,157.1061]],"vertex":[345.29,264.48]}],"canvas_size":[473,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0632","image_path":"images/angle_estimation_0632.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0632_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0632_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"150","question_id":"angle_estimation_0632_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0632_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0632_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":632}
+{"angle_1_degrees":168.440808,"angle_2_degrees":144.03718,"angles":[{"angle_degrees":168.440808,"arc_sweep_degrees":168.440808,"ray_endpoints":[[63.5198,336.3857],[175.5699,175.6522]],"vertex":[122.04,269.61]},{"angle_degrees":144.03718,"arc_sweep_degrees":144.03718,"ray_endpoints":[[436.3104,269.0988],[239.5916,335.8423]],"vertex":[329.96,269.61]}],"canvas_size":[452,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0633","image_path":"images/angle_estimation_0633.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0633_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0633_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0633_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0633_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0633_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":633}
+{"angle_1_degrees":65.496218,"angle_2_degrees":30.573149,"angles":[{"angle_degrees":65.496218,"arc_sweep_degrees":65.496218,"ray_endpoints":[[157.7012,352.2949],[27.4749,363.0186]],"vertex":[123.66,264.48]},{"angle_degrees":30.573149,"arc_sweep_degrees":30.573149,"ray_endpoints":[[325.4204,152.0974],[388.179,154.2656]],"vertex":[334.34,264.48]}],"canvas_size":[458,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0634","image_path":"images/angle_estimation_0634.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0634_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0634_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0634_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0634_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0634_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":634}
+{"angle_1_degrees":54.105035,"angle_2_degrees":121.617854,"angles":[{"angle_degrees":54.105035,"arc_sweep_degrees":54.105035,"ray_endpoints":[[140.9175,382.0509],[46.3265,343.8785]],"vertex":[127.44,269.04]},{"angle_degrees":121.617854,"arc_sweep_degrees":121.617854,"ray_endpoints":[[448.6327,242.0133],[306.6477,392.5808]],"vertex":[344.56,269.04]}],"canvas_size":[472,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0635","image_path":"images/angle_estimation_0635.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0635_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0635_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0635_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0635_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0635_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":635}
+{"canvas_size":[462,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0636","image_path":"images/angle_estimation_0636.png","interior_angles_degrees":[90.040887,42.762246,47.196867],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0636_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0636_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0636_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0636_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0636_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":636,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.2323,402.7625],[407.0,402.7625],[55.0,77.2375]]}
+{"canvas_size":[481,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0637","image_path":"images/angle_estimation_0637.png","interior_angles_degrees":[89.223976,43.16766,47.608364],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0637_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0637_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0637_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0637_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0637_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":637,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,417.8162],[426.0,417.8162],[59.6545,74.1838]]}
+{"canvas_size":[490,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0638","image_path":"images/angle_estimation_0638.png","interior_angles_degrees":[90.942572,44.499589,44.557838],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0638_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0638_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0638_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0638_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0638_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":638,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[65.7815,429.0],[430.2072,429.0],[59.7928,65.0]]}
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+{"angle_1_degrees":49.925976,"angle_2_degrees":38.086682,"angles":[{"angle_degrees":49.925976,"arc_sweep_degrees":49.925976,"ray_endpoints":[[207.3799,325.7138],[149.1689,398.1351]],"vertex":[126.9,280.44]},{"angle_degrees":38.086682,"arc_sweep_degrees":38.086682,"ray_endpoints":[[439.1382,250.8831],[449.8234,321.3652]],"vertex":[343.1,280.44]}],"canvas_size":[470,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0650","image_path":"images/angle_estimation_0650.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0650_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0650_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0650_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0650_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0650_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":650}
+{"angle_1_degrees":132.672985,"angle_2_degrees":43.845329,"angles":[{"angle_degrees":132.672985,"arc_sweep_degrees":132.672985,"ray_endpoints":[[115.9177,188.0248],[205.5068,343.9795]],"vertex":[122.04,277.02]},{"angle_degrees":43.845329,"arc_sweep_degrees":43.845329,"ray_endpoints":[[276.6588,223.4926],[328.0528,171.2839]],"vertex":[329.96,277.02]}],"canvas_size":[452,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0651","image_path":"images/angle_estimation_0651.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0651_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0651_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_0651_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0651_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0651_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":651}
+{"angle_1_degrees":145.771959,"angle_2_degrees":126.789629,"angles":[{"angle_degrees":145.771959,"arc_sweep_degrees":145.771959,"ray_endpoints":[[140.7431,351.2764],[20.8895,178.2358]],"vertex":[123.93,275.31]},{"angle_degrees":126.789629,"arc_sweep_degrees":126.789629,"ray_endpoints":[[252.4897,306.6889],[367.0473,163.6729]],"vertex":[335.07,275.31]}],"canvas_size":[459,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0652","image_path":"images/angle_estimation_0652.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0652_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0652_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0652_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0652_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0652_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":652}
+{"angle_1_degrees":25.604239,"angle_2_degrees":57.595369,"angles":[{"angle_degrees":25.604239,"arc_sweep_degrees":25.604239,"ray_endpoints":[[83.1701,369.198],[21.6529,356.4283]],"vertex":[134.19,274.17]},{"angle_degrees":57.595369,"arc_sweep_degrees":57.595369,"ray_endpoints":[[407.5066,337.9202],[317.3064,383.6994]],"vertex":[362.81,274.17]}],"canvas_size":[497,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0653","image_path":"images/angle_estimation_0653.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0653_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0653_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0653_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0653_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0653_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":653}
+{"angle_1_degrees":20.329771,"angle_2_degrees":163.597535,"angles":[{"angle_degrees":20.329771,"arc_sweep_degrees":20.329771,"ray_endpoints":[[40.9464,341.1624],[27.8057,304.3511]],"vertex":[132.84,277.02]},{"angle_degrees":163.597535,"arc_sweep_degrees":163.597535,"ray_endpoints":[[294.6671,327.1439],[443.1056,160.3829]],"vertex":[359.16,277.02]}],"canvas_size":[492,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0654","image_path":"images/angle_estimation_0654.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0654_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0654_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_0654_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0654_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0654_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":654}
+{"angle_1_degrees":55.840133,"angle_2_degrees":162.345719,"angles":[{"angle_degrees":55.840133,"arc_sweep_degrees":55.840133,"ray_endpoints":[[29.6707,205.5413],[116.8333,122.9655]],"vertex":[122.04,263.34]},{"angle_degrees":162.345719,"arc_sweep_degrees":162.345719,"ray_endpoints":[[243.076,315.2711],[402.8233,180.9213]],"vertex":[329.96,263.34]}],"canvas_size":[452,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0655","image_path":"images/angle_estimation_0655.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0655_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0655_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0655_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0655_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0655_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":655}
+{"canvas_size":[492,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0656","image_path":"images/angle_estimation_0656.png","interior_angles_degrees":[121.965797,18.731125,39.303078],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0656_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0656_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0656_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0656_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0656_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":656,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[135.8326,327.2656],[437.0,327.2656],[55.0,197.7344]]}
+{"canvas_size":[488,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0657","image_path":"images/angle_estimation_0657.png","interior_angles_degrees":[111.273476,30.167012,38.559511],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0657_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0657_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0657_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0657_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0657_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":657,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[140.5442,359.855],[433.0,359.855],[55.0,140.145]]}
+{"canvas_size":[459,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0658","image_path":"images/angle_estimation_0658.png","interior_angles_degrees":[119.813113,33.724075,26.462812],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0658_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0658_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0658_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0658_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0658_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":658,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[188.4917,365.483],[404.0,365.483],[55.0,132.517]]}
+{"canvas_size":[496,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0659","image_path":"images/angle_estimation_0659.png","interior_angles_degrees":[106.16508,34.225141,39.60978],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0659_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0659_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0659_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0659_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0659_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":659,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[131.111,380.2865],[441.0,380.2865],[55.0,117.7135]]}
+{"canvas_size":[451,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0660","image_path":"images/angle_estimation_0660.png","interior_angles_degrees":[113.93273,34.045983,32.021287],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0660_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0660_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0660_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0660_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0660_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":660,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[157.2593,376.7029],[396.0,376.7029],[55.0,146.2971]]}
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+{"angle_1_degrees":143.195197,"angle_2_degrees":120.5641,"angles":[{"angle_degrees":143.195197,"arc_sweep_degrees":143.195197,"ray_endpoints":[[220.7271,273.1402],[39.2311,312.401]],"vertex":[131.49,261.06]},{"angle_degrees":120.5641,"arc_sweep_degrees":120.5641,"ray_endpoints":[[281.4276,245.4431],[452.3519,155.2571]],"vertex":[355.51,261.06]}],"canvas_size":[487,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0671","image_path":"images/angle_estimation_0671.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0671_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0671_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0671_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0671_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0671_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":671}
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+{"angle_1_degrees":135.297159,"angle_2_degrees":32.486573,"angles":[{"angle_degrees":135.297159,"arc_sweep_degrees":135.297159,"ray_endpoints":[[42.4282,305.7509],[175.6102,160.7123]],"vertex":[130.41,269.04]},{"angle_degrees":32.486573,"arc_sweep_degrees":32.486573,"ray_endpoints":[[426.7235,240.9594],[460.5087,291.4688]],"vertex":[352.59,269.04]}],"canvas_size":[483,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0673","image_path":"images/angle_estimation_0673.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0673_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0673_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_0673_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0673_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0673_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":673}
+{"angle_1_degrees":57.453441,"angle_2_degrees":147.213966,"angles":[{"angle_degrees":57.453441,"arc_sweep_degrees":57.453441,"ray_endpoints":[[152.6357,338.7769],[34.9381,369.0459]],"vertex":[128.25,259.35]},{"angle_degrees":147.213966,"arc_sweep_degrees":147.213966,"ray_endpoints":[[383.6851,185.949],[358.6885,371.5307]],"vertex":[346.75,259.35]}],"canvas_size":[475,455],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0674","image_path":"images/angle_estimation_0674.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0674_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0674_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_0674_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0674_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0674_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":674}
+{"angle_1_degrees":14.166668,"angle_2_degrees":65.18677,"angles":[{"angle_degrees":14.166668,"arc_sweep_degrees":14.166668,"ray_endpoints":[[71.2749,198.7042],[69.965,140.6872]],"vertex":[125.01,269.04]},{"angle_degrees":65.18677,"arc_sweep_degrees":65.18677,"ray_endpoints":[[331.9854,156.7687],[441.6773,214.1991]],"vertex":[337.99,269.04]}],"canvas_size":[463,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0675","image_path":"images/angle_estimation_0675.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0675_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0675_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0675_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0675_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0675_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":675}
+{"canvas_size":[451,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0676","image_path":"images/angle_estimation_0676.png","interior_angles_degrees":[66.635839,48.117493,65.246668],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0676_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0676_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0676_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0676_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0676_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":676,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,389.3215],[396.0,389.3215],[165.8688,132.6785]]}
+{"canvas_size":[490,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0677","image_path":"images/angle_estimation_0677.png","interior_angles_degrees":[64.248923,45.902954,69.848123],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0677_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0677_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0677_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0677_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0677_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":677,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,372.9141],[435.0,372.9141],[181.297,111.0859]]}
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+{"canvas_size":[489,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0680","image_path":"images/angle_estimation_0680.png","interior_angles_degrees":[46.388443,57.599301,76.012256],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0680_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0680_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0680_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0680_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0680_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":680,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,374.8845],[434.0,374.8845],[282.4685,136.1155]]}
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+{"angle_degrees":109.833391,"arc_sweep_degrees":109.833391,"canvas_size":[483,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0686","image_path":"images/angle_estimation_0686.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0686_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_0686_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0686_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"70","question_id":"angle_estimation_0686_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0686_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[138.5826,348.42],[181.5419,110.6723]],"scene_type":"single","seed":686,"vertex":[241.5,254.0]}
+{"angle_degrees":289.666443,"arc_sweep_degrees":289.666443,"canvas_size":[475,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0687","image_path":"images/angle_estimation_0687.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0687_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_0687_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0687_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"110","question_id":"angle_estimation_0687_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0687_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[119.8805,118.7448],[99.6364,303.0348]],"scene_type":"single","seed":687,"vertex":[237.5,241.0]}
+{"angle_degrees":119.788249,"arc_sweep_degrees":119.788249,"canvas_size":[497,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0688","image_path":"images/angle_estimation_0688.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0688_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_0688_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0688_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"60","question_id":"angle_estimation_0688_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0688_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[275.2661,103.2936],[351.7231,333.4982]],"scene_type":"single","seed":688,"vertex":[248.5,245.5]}
+{"angle_1_degrees":112.951439,"angle_2_degrees":71.406283,"angles":[{"angle_degrees":112.951439,"arc_sweep_degrees":112.951439,"ray_endpoints":[[215.5113,312.1549],[31.9585,335.3343]],"vertex":[131.76,262.2]},{"angle_degrees":71.406283,"arc_sweep_degrees":71.406283,"ray_endpoints":[[453.8959,210.8489],[446.1391,348.0171]],"vertex":[356.24,262.2]}],"canvas_size":[488,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0689","image_path":"images/angle_estimation_0689.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0689_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0689_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0689_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0689_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0689_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":689}
+{"angle_1_degrees":84.161233,"angle_2_degrees":38.567858,"angles":[{"angle_degrees":84.161233,"arc_sweep_degrees":84.161233,"ray_endpoints":[[196.4323,359.7865],[54.7607,362.549]],"vertex":[126.9,282.72]},{"angle_degrees":38.567858,"arc_sweep_degrees":38.567858,"ray_endpoints":[[337.694,171.2221],[419.6089,176.6067]],"vertex":[343.1,282.72]}],"canvas_size":[470,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0690","image_path":"images/angle_estimation_0690.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0690_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0690_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0690_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0690_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0690_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":690}
+{"angle_1_degrees":30.433532,"angle_2_degrees":46.964936,"angles":[{"angle_degrees":30.433532,"arc_sweep_degrees":30.433532,"ray_endpoints":[[35.76,204.2208],[69.8786,147.5741]],"vertex":[133.38,261.63]},{"angle_degrees":46.964936,"arc_sweep_degrees":46.964936,"ray_endpoints":[[435.16,346.5227],[347.4274,394.2666]],"vertex":[360.62,261.63]}],"canvas_size":[494,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0691","image_path":"images/angle_estimation_0691.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0691_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0691_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0691_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0691_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0691_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":691}
+{"angle_1_degrees":159.902134,"angle_2_degrees":30.790062,"angles":[{"angle_degrees":159.902134,"arc_sweep_degrees":159.902134,"ray_endpoints":[[152.5287,191.8836],[123.3962,392.2531]],"vertex":[121.77,279.87]},{"angle_degrees":30.790062,"arc_sweep_degrees":30.790062,"ray_endpoints":[[337.7044,355.3137],[273.2116,403.4706]],"vertex":[329.23,279.87]}],"canvas_size":[451,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0692","image_path":"images/angle_estimation_0692.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0692_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0692_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_0692_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0692_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0692_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":692}
+{"angle_1_degrees":103.121433,"angle_2_degrees":156.456685,"angles":[{"angle_degrees":103.121433,"arc_sweep_degrees":103.121433,"ray_endpoints":[[207.4879,288.0399],[70.6548,368.9547]],"vertex":[129.6,265.05]},{"angle_degrees":156.456685,"arc_sweep_degrees":156.456685,"ray_endpoints":[[316.1296,197.1045],[453.467,350.5911]],"vertex":[350.4,265.05]}],"canvas_size":[480,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0693","image_path":"images/angle_estimation_0693.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0693_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0693_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0693_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0693_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0693_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":693}
+{"angle_1_degrees":69.705543,"angle_2_degrees":30.477771,"angles":[{"angle_degrees":69.705543,"arc_sweep_degrees":69.705543,"ray_endpoints":[[52.5497,252.2362],[120.0202,134.5856]],"vertex":[133.38,273.6]},{"angle_degrees":30.477771,"arc_sweep_degrees":30.477771,"ray_endpoints":[[288.8219,244.8996],[274.5393,162.3602]],"vertex":[360.62,273.6]}],"canvas_size":[494,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0694","image_path":"images/angle_estimation_0694.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0694_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0694_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0694_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0694_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0694_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":694}
+{"angle_1_degrees":140.085062,"angle_2_degrees":34.486676,"angles":[{"angle_degrees":140.085062,"arc_sweep_degrees":140.085062,"ray_endpoints":[[115.6599,193.977],[218.1143,366.6262]],"vertex":[127.17,282.72]},{"angle_degrees":34.486676,"arc_sweep_degrees":34.486676,"ray_endpoints":[[262.3379,208.4119],[318.1591,172.8696]],"vertex":[343.83,282.72]}],"canvas_size":[471,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0695","image_path":"images/angle_estimation_0695.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0695_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0695_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0695_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0695_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0695_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":695}
+{"canvas_size":[460,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0696","image_path":"images/angle_estimation_0696.png","interior_angles_degrees":[90.283049,35.890616,53.826335],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0696_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0696_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0696_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0696_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0696_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":696,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.2512,374.1352],[405.0,374.1352],[55.0,120.8648]]}
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+{"canvas_size":[500,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0698","image_path":"images/angle_estimation_0698.png","interior_angles_degrees":[90.916559,32.362582,56.720859],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0698_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0698_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0698_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0698_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0698_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":698,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[58.9539,375.0722],[445.0,375.0722],[55.0,127.9278]]}
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+{"angle_degrees":279.609187,"arc_sweep_degrees":279.609187,"canvas_size":[498,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0702","image_path":"images/angle_estimation_0702.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0702_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_0702_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0702_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"100","question_id":"angle_estimation_0702_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0702_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[314.3387,146.5247],[126.3347,160.5085]],"scene_type":"single","seed":702,"vertex":[249.0,261.0]}
+{"angle_degrees":62.608539,"arc_sweep_degrees":62.608539,"canvas_size":[453,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0703","image_path":"images/angle_estimation_0703.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0703_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_0703_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0703_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"117","question_id":"angle_estimation_0703_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0703_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[379.7687,328.4784],[225.2358,366.9438]],"scene_type":"single","seed":703,"vertex":[226.5,247.0]}
+{"angle_degrees":254.094017,"arc_sweep_degrees":254.094017,"canvas_size":[489,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0704","image_path":"images/angle_estimation_0704.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0704_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_0704_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0704_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"74","question_id":"angle_estimation_0704_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0704_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[110.0448,322.1974],[353.3038,358.703]],"scene_type":"single","seed":704,"vertex":[244.5,248.5]}
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+{"angle_degrees":292.810885,"arc_sweep_degrees":292.810885,"canvas_size":[457,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0708","image_path":"images/angle_estimation_0708.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0708_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_0708_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0708_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"113","question_id":"angle_estimation_0708_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0708_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[133.7575,386.0081],[290.0044,366.4259]],"scene_type":"single","seed":708,"vertex":[228.5,260.5]}
+{"angle_1_degrees":37.553024,"angle_2_degrees":89.42839,"angles":[{"angle_degrees":37.553024,"arc_sweep_degrees":37.553024,"ray_endpoints":[[128.5558,174.8894],[193.2214,196.7894]],"vertex":[130.68,281.58]},{"angle_degrees":89.42839,"arc_sweep_degrees":89.42839,"ray_endpoints":[[440.6466,323.0895],[292.882,412.0697]],"vertex":[353.32,281.58]}],"canvas_size":[484,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0709","image_path":"images/angle_estimation_0709.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0709_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0709_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0709_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0709_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0709_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":709}
+{"angle_1_degrees":78.665328,"angle_2_degrees":11.933541,"angles":[{"angle_degrees":78.665328,"arc_sweep_degrees":78.665328,"ray_endpoints":[[52.4142,224.6102],[182.2096,166.8118]],"vertex":[127.98,281.01]},{"angle_degrees":11.933541,"arc_sweep_degrees":11.933541,"ray_endpoints":[[426.267,215.9267],[460.2424,222.5348]],"vertex":[346.02,281.01]}],"canvas_size":[474,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0710","image_path":"images/angle_estimation_0710.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0710_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0710_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0710_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0710_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0710_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":710}
+{"angle_1_degrees":46.262005,"angle_2_degrees":141.986065,"angles":[{"angle_degrees":46.262005,"arc_sweep_degrees":46.262005,"ray_endpoints":[[78.0988,209.9048],[144.6584,159.0227]],"vertex":[132.03,274.17]},{"angle_degrees":141.986065,"arc_sweep_degrees":141.986065,"ray_endpoints":[[470.39,276.5347],[269.8144,339.4171]],"vertex":[356.97,274.17]}],"canvas_size":[489,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0711","image_path":"images/angle_estimation_0711.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0711_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0711_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_0711_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0711_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0711_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":711}
+{"angle_1_degrees":89.937959,"angle_2_degrees":23.534409,"angles":[{"angle_degrees":89.937959,"arc_sweep_degrees":89.937959,"ray_endpoints":[[100.5389,367.0708],[23.37,248.7481]],"vertex":[126.36,278.73]},{"angle_degrees":23.534409,"arc_sweep_degrees":23.534409,"ray_endpoints":[[373.9824,376.5518],[331.0593,394.1177]],"vertex":[341.64,278.73]}],"canvas_size":[468,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0712","image_path":"images/angle_estimation_0712.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0712_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0712_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0712_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0712_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0712_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":712}
+{"angle_1_degrees":74.489194,"angle_2_degrees":20.228488,"angles":[{"angle_degrees":74.489194,"arc_sweep_degrees":74.489194,"ray_endpoints":[[53.2003,362.5955],[18.1392,224.7613]],"vertex":[127.98,279.3]},{"angle_degrees":20.228488,"arc_sweep_degrees":20.228488,"ray_endpoints":[[444.8806,304.3689],[455.0634,354.1245]],"vertex":[346.02,279.3]}],"canvas_size":[474,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0713","image_path":"images/angle_estimation_0713.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0713_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0713_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0713_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0713_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0713_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":713}
+{"angle_1_degrees":74.584711,"angle_2_degrees":112.115329,"angles":[{"angle_degrees":74.584711,"arc_sweep_degrees":74.584711,"ray_endpoints":[[214.2993,238.0913],[203.9631,375.0909]],"vertex":[134.73,260.49]},{"angle_degrees":112.115329,"arc_sweep_degrees":112.115329,"ray_endpoints":[[450.8184,216.9741],[374.9192,393.498]],"vertex":[364.27,260.49]}],"canvas_size":[499,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0714","image_path":"images/angle_estimation_0714.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0714_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0714_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0714_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0714_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0714_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":714}
+{"angle_1_degrees":24.509261,"angle_2_degrees":107.293604,"angles":[{"angle_degrees":24.509261,"arc_sweep_degrees":24.509261,"ray_endpoints":[[111.9132,171.4968],[160.2999,125.1028]],"vertex":[130.14,258.78]},{"angle_degrees":107.293604,"arc_sweep_degrees":107.293604,"ray_endpoints":[[266.4688,224.6526],[432.751,159.1662]],"vertex":[351.86,258.78]}],"canvas_size":[482,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0715","image_path":"images/angle_estimation_0715.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0715_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0715_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0715_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0715_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0715_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":715}
+{"canvas_size":[460,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0716","image_path":"images/angle_estimation_0716.png","interior_angles_degrees":[108.492173,34.961905,36.545922],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0716_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0716_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0716_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0716_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0716_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":716,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[136.847,376.863],[405.0,376.863],[55.0,132.137]]}
+{"canvas_size":[465,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0717","image_path":"images/angle_estimation_0717.png","interior_angles_degrees":[130.33649,22.217401,27.44611],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0717_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0717_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0717_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0717_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0717_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":717,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[178.1266,333.9993],[410.0,333.9993],[55.0,189.0007]]}
+{"canvas_size":[466,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0718","image_path":"images/angle_estimation_0718.png","interior_angles_degrees":[134.994383,19.12169,25.883928],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0718_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0718_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0718_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0718_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0718_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":718,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[178.4028,325.7135],[411.0,325.7135],[55.0,202.2865]]}
+{"canvas_size":[467,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0719","image_path":"images/angle_estimation_0719.png","interior_angles_degrees":[105.66807,34.504828,39.827102],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0719_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0719_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0719_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0719_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0719_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":719,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[123.8323,384.7018],[412.0,384.7018],[55.0,139.2982]]}
+{"canvas_size":[497,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0720","image_path":"images/angle_estimation_0720.png","interior_angles_degrees":[106.105035,43.499869,30.395097],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0720_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0720_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0720_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0720_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0720_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":720,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[162.9998,424.0],[437.6544,424.0],[59.3456,65.0]]}
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+{"angle_degrees":61.545372,"arc_sweep_degrees":61.545372,"canvas_size":[489,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0722","image_path":"images/angle_estimation_0722.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0722_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_0722_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0722_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"118","question_id":"angle_estimation_0722_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0722_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[219.4326,396.9728],[114.3599,301.6803]],"scene_type":"single","seed":722,"vertex":[244.5,259.0]}
+{"angle_degrees":79.495404,"arc_sweep_degrees":79.495404,"canvas_size":[484,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0723","image_path":"images/angle_estimation_0723.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0723_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_0723_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0723_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"101","question_id":"angle_estimation_0723_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0723_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[253.2358,108.2919],[361.6887,230.5134]],"scene_type":"single","seed":723,"vertex":[242.0,242.5]}
+{"angle_degrees":253.927554,"arc_sweep_degrees":253.927554,"canvas_size":[496,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0724","image_path":"images/angle_estimation_0724.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0724_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_0724_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0724_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"74","question_id":"angle_estimation_0724_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0724_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[302.0801,96.8694],[131.1205,238.1139]],"scene_type":"single","seed":724,"vertex":[248.0,246.0]}
+{"angle_degrees":30.000019,"arc_sweep_degrees":30.000019,"canvas_size":[455,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0725","image_path":"images/angle_estimation_0725.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0725_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_0725_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0725_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_0725_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0725_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[170.9845,364.0984],[112.1832,327.7931]],"scene_type":"single","seed":725,"vertex":[227.5,252.5]}
+{"angle_degrees":131.174483,"arc_sweep_degrees":131.174483,"canvas_size":[466,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0726","image_path":"images/angle_estimation_0726.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0726_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_0726_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0726_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"49","question_id":"angle_estimation_0726_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0726_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[100.333,359.882],[241.5472,151.8092]],"scene_type":"single","seed":726,"vertex":[233.0,261.0]}
+{"angle_degrees":186.447853,"arc_sweep_degrees":186.447853,"canvas_size":[483,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0727","image_path":"images/angle_estimation_0727.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0727_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_0727_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0727_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"6","question_id":"angle_estimation_0727_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0727_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[328.525,376.0143],[170.3698,99.6503]],"scene_type":"single","seed":727,"vertex":[241.5,242.0]}
+{"angle_degrees":300.978414,"arc_sweep_degrees":300.978414,"canvas_size":[452,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0728","image_path":"images/angle_estimation_0728.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0728_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_0728_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0728_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"121","question_id":"angle_estimation_0728_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0728_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[350.7767,352.0294],[356.3358,203.4969]],"scene_type":"single","seed":728,"vertex":[226.0,251.0]}
+{"angle_1_degrees":48.968627,"angle_2_degrees":35.480986,"angles":[{"angle_degrees":48.968627,"arc_sweep_degrees":48.968627,"ray_endpoints":[[165.9352,355.4287],[65.1435,393.2285]],"vertex":[133.38,267.9]},{"angle_degrees":35.480986,"arc_sweep_degrees":35.480986,"ray_endpoints":[[440.3475,271.3006],[446.9742,335.1814]],"vertex":[360.62,267.9]}],"canvas_size":[494,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0729","image_path":"images/angle_estimation_0729.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0729_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0729_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0729_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0729_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0729_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":729}
+{"angle_1_degrees":142.904133,"angle_2_degrees":47.51509,"angles":[{"angle_degrees":142.904133,"arc_sweep_degrees":142.904133,"ray_endpoints":[[186.7324,179.5428],[127.7755,391.1271]],"vertex":[126.63,260.49]},{"angle_degrees":47.51509,"arc_sweep_degrees":47.51509,"ray_endpoints":[[291.2946,181.64],[378.0032,123.5135]],"vertex":[342.37,260.49]}],"canvas_size":[469,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0730","image_path":"images/angle_estimation_0730.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0730_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0730_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_0730_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0730_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0730_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":730}
+{"angle_1_degrees":121.743967,"angle_2_degrees":153.352936,"angles":[{"angle_degrees":121.743967,"arc_sweep_degrees":121.743967,"ray_endpoints":[[27.8579,298.6732],[161.8872,116.6391]],"vertex":[133.92,258.78]},{"angle_degrees":153.352936,"arc_sweep_degrees":153.352936,"ray_endpoints":[[261.0527,242.2868],[481.7322,221.3405]],"vertex":[362.08,258.78]}],"canvas_size":[496,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0731","image_path":"images/angle_estimation_0731.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0731_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0731_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0731_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0731_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0731_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":731}
+{"angle_1_degrees":30.850251,"angle_2_degrees":47.219972,"angles":[{"angle_degrees":30.850251,"arc_sweep_degrees":30.850251,"ray_endpoints":[[99.8244,328.944],[19.8681,334.9857]],"vertex":[132.84,260.49]},{"angle_degrees":47.219972,"arc_sweep_degrees":47.219972,"ray_endpoints":[[373.1328,148.7229],[461.9506,186.7524]],"vertex":[359.16,260.49]}],"canvas_size":[492,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0732","image_path":"images/angle_estimation_0732.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0732_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0732_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0732_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0732_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0732_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":732}
+{"angle_1_degrees":45.332733,"angle_2_degrees":140.741273,"angles":[{"angle_degrees":45.332733,"arc_sweep_degrees":45.332733,"ray_endpoints":[[42.7046,351.283],[15.7386,268.7534]],"vertex":[128.52,279.3]},{"angle_degrees":140.741273,"arc_sweep_degrees":140.741273,"ray_endpoints":[[385.2986,180.1747],[389.8405,406.8208]],"vertex":[347.48,279.3]}],"canvas_size":[476,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0733","image_path":"images/angle_estimation_0733.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0733_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0733_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_0733_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0733_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0733_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":733}
+{"angle_1_degrees":136.041242,"angle_2_degrees":158.392446,"angles":[{"angle_degrees":136.041242,"arc_sweep_degrees":136.041242,"ray_endpoints":[[179.5122,177.6277],[173.7367,402.1812]],"vertex":[133.11,268.47]},{"angle_degrees":158.392446,"arc_sweep_degrees":158.392446,"ray_endpoints":[[435.1752,250.3586],[262.2948,337.1481]],"vertex":[359.89,268.47]}],"canvas_size":[493,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0734","image_path":"images/angle_estimation_0734.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0734_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0734_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0734_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0734_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0734_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":734}
+{"angle_1_degrees":13.621544,"angle_2_degrees":87.997579,"angles":[{"angle_degrees":13.621544,"arc_sweep_degrees":13.621544,"ray_endpoints":[[146.1102,185.513],[176.5383,165.4349]],"vertex":[128.79,261.06]},{"angle_degrees":87.997579,"arc_sweep_degrees":87.997579,"ray_endpoints":[[286.8503,310.3701],[260.7541,159.7006]],"vertex":[348.21,261.06]}],"canvas_size":[477,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0735","image_path":"images/angle_estimation_0735.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0735_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0735_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0735_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0735_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0735_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":735}
+{"canvas_size":[466,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0736","image_path":"images/angle_estimation_0736.png","interior_angles_degrees":[72.25901,43.264915,64.476076],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0736_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0736_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0736_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0736_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0736_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":736,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,370.761],[411.0,370.761],[137.3888,113.239]]}
+{"canvas_size":[450,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0737","image_path":"images/angle_estimation_0737.png","interior_angles_degrees":[48.216614,49.947422,81.835964],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0737_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0737_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0737_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0737_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0737_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":737,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,356.0253],[395.0,356.0253],[230.1872,159.9747]]}
+{"canvas_size":[460,455],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0738","image_path":"images/angle_estimation_0738.png","interior_angles_degrees":[47.247337,80.001015,52.751648],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0738_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0738_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0738_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0738_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0738_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":738,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,401.4774],[405.0,401.4774],[348.9418,83.5226]]}
+{"canvas_size":[462,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0739","image_path":"images/angle_estimation_0739.png","interior_angles_degrees":[57.810146,35.698078,86.491776],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0739_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0739_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0739_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0739_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0739_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":739,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,350.5756],[407.0,350.5756],[164.6258,176.4244]]}
+{"canvas_size":[486,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0740","image_path":"images/angle_estimation_0740.png","interior_angles_degrees":[69.800541,50.225456,59.974003],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0740_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0740_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0740_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0740_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0740_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":740,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,421.1231],[431.0,421.1231],[170.2488,107.8769]]}
+{"angle_degrees":256.408972,"arc_sweep_degrees":256.408972,"canvas_size":[464,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0741","image_path":"images/angle_estimation_0741.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0741_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_0741_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0741_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"76","question_id":"angle_estimation_0741_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0741_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[158.4371,355.8232],[352.6367,302.5403]],"scene_type":"single","seed":741,"vertex":[232.0,253.5]}
+{"angle_degrees":56.644651,"arc_sweep_degrees":56.644651,"canvas_size":[476,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0742","image_path":"images/angle_estimation_0742.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0742_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_0742_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0742_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"123","question_id":"angle_estimation_0742_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0742_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[110.1897,160.3669],[239.6078,98.2161]],"scene_type":"single","seed":742,"vertex":[238.0,246.5]}
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+{"angle_degrees":192.695619,"arc_sweep_degrees":192.695619,"canvas_size":[469,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0744","image_path":"images/angle_estimation_0744.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0744_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0744_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0744_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"13","question_id":"angle_estimation_0744_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0744_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[376.2862,264.1449],[126.5595,235.9616]],"scene_type":"single","seed":744,"vertex":[234.5,262.0]}
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+{"angle_1_degrees":102.612212,"angle_2_degrees":155.102728,"angles":[{"angle_degrees":102.612212,"arc_sweep_degrees":102.612212,"ray_endpoints":[[61.0768,315.6991],[79.1989,147.8433]],"vertex":[126.9,271.89]},{"angle_degrees":155.102728,"arc_sweep_degrees":155.102728,"ray_endpoints":[[420.2977,224.6212],[283.7007,361.2145]],"vertex":[343.1,271.89]}],"canvas_size":[470,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0750","image_path":"images/angle_estimation_0750.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0750_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0750_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0750_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0750_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0750_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":750}
+{"angle_1_degrees":60.908392,"angle_2_degrees":16.971123,"angles":[{"angle_degrees":60.908392,"arc_sweep_degrees":60.908392,"ray_endpoints":[[29.8082,299.9014],[65.0742,195.2242]],"vertex":[134.46,282.72]},{"angle_degrees":16.971123,"arc_sweep_degrees":16.971123,"ray_endpoints":[[318.8351,185.555],[345.2447,148.0369]],"vertex":[363.54,282.72]}],"canvas_size":[498,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0751","image_path":"images/angle_estimation_0751.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0751_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0751_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0751_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0751_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0751_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":751}
+{"angle_1_degrees":16.133961,"angle_2_degrees":155.629662,"angles":[{"angle_degrees":16.133961,"arc_sweep_degrees":16.133961,"ray_endpoints":[[119.2642,192.6646],[151.0942,153.2742]],"vertex":[130.41,282.72]},{"angle_degrees":155.629662,"arc_sweep_degrees":155.629662,"ray_endpoints":[[347.8747,171.8932],[405.4851,387.4045]],"vertex":[352.59,282.72]}],"canvas_size":[483,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0752","image_path":"images/angle_estimation_0752.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0752_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0752_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_0752_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0752_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0752_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":752}
+{"angle_1_degrees":116.038816,"angle_2_degrees":35.296997,"angles":[{"angle_degrees":116.038816,"arc_sweep_degrees":116.038816,"ray_endpoints":[[225.7978,300.7185],[41.4948,363.073]],"vertex":[134.46,269.61]},{"angle_degrees":35.296997,"arc_sweep_degrees":35.296997,"ray_endpoints":[[327.1107,164.8111],[397.7651,151.2589]],"vertex":[363.54,269.61]}],"canvas_size":[498,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0753","image_path":"images/angle_estimation_0753.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0753_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0753_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0753_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0753_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0753_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":753}
+{"angle_1_degrees":29.425685,"angle_2_degrees":49.580137,"angles":[{"angle_degrees":29.425685,"arc_sweep_degrees":29.425685,"ray_endpoints":[[87.6355,185.8779],[140.9298,175.882]],"vertex":[124.47,283.29]},{"angle_degrees":49.580137,"arc_sweep_degrees":49.580137,"ray_endpoints":[[312.4401,207.7549],[406.2117,171.3044]],"vertex":[336.53,283.29]}],"canvas_size":[461,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0754","image_path":"images/angle_estimation_0754.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0754_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0754_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0754_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0754_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0754_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":754}
+{"angle_1_degrees":44.249368,"angle_2_degrees":125.261318,"angles":[{"angle_degrees":44.249368,"arc_sweep_degrees":44.249368,"ray_endpoints":[[84.7158,211.2678],[146.0586,137.8983]],"vertex":[130.41,270.75]},{"angle_degrees":125.261318,"arc_sweep_degrees":125.261318,"ray_endpoints":[[416.0318,203.3843],[375.8517,385.5268]],"vertex":[352.59,270.75]}],"canvas_size":[483,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0755","image_path":"images/angle_estimation_0755.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0755_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0755_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0755_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0755_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0755_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":755}
+{"canvas_size":[479,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0756","image_path":"images/angle_estimation_0756.png","interior_angles_degrees":[90.237329,42.703371,47.0593],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0756_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0756_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0756_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0756_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0756_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":756,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.4106,418.7718],[424.0,418.7718],[55.0,78.2282]]}
+{"canvas_size":[475,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0757","image_path":"images/angle_estimation_0757.png","interior_angles_degrees":[89.318123,51.702952,38.978925],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0757_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0757_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0757_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0757_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0757_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":757,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[83.5985,449.0],[391.4015,449.0],[88.1687,65.0]]}
+{"canvas_size":[471,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0758","image_path":"images/angle_estimation_0758.png","interior_angles_degrees":[90.068623,39.340306,50.591071],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0758_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0758_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0758_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0758_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0758_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":758,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.3544,389.9497],[416.0,389.9497],[55.0,94.0503]]}
+{"canvas_size":[453,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0759","image_path":"images/angle_estimation_0759.png","interior_angles_degrees":[90.948919,52.131122,36.919959],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0759_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0759_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0759_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0759_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0759_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":759,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[83.5598,449.0],[375.8005,449.0],[77.1995,65.0]]}
+{"canvas_size":[458,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0760","image_path":"images/angle_estimation_0760.png","interior_angles_degrees":[89.130957,24.018492,66.850551],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0760_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0760_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0760_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0760_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0760_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":760,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,320.0165],[403.0,320.0165],[57.3365,165.9835]]}
+{"angle_degrees":97.610987,"arc_sweep_degrees":97.610987,"canvas_size":[464,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0761","image_path":"images/angle_estimation_0761.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0761_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_0761_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0761_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"82","question_id":"angle_estimation_0761_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0761_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[85.8801,174.6563],[322.1021,136.3414]],"scene_type":"single","seed":761,"vertex":[232.0,256.5]}
+{"angle_degrees":343.613672,"arc_sweep_degrees":343.613672,"canvas_size":[490,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0762","image_path":"images/angle_estimation_0762.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0762_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_0762_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0762_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"164","question_id":"angle_estimation_0762_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0762_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[173.2915,373.9339],[209.9911,395.799]],"scene_type":"single","seed":762,"vertex":[245.0,248.5]}
+{"angle_degrees":339.909521,"arc_sweep_degrees":339.909521,"canvas_size":[489,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0763","image_path":"images/angle_estimation_0763.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0763_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_0763_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0763_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"160","question_id":"angle_estimation_0763_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0763_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[114.0482,225.2712],[139.8807,265.0149]],"scene_type":"single","seed":763,"vertex":[244.5,237.5]}
+{"angle_degrees":34.592035,"arc_sweep_degrees":34.592035,"canvas_size":[492,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0764","image_path":"images/angle_estimation_0764.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0764_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_0764_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0764_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"145","question_id":"angle_estimation_0764_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0764_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[370.284,126.6132],[387.7387,221.3681]],"scene_type":"single","seed":764,"vertex":[246.0,242.0]}
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+{"angle_degrees":46.388954,"arc_sweep_degrees":46.388954,"canvas_size":[496,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0767","image_path":"images/angle_estimation_0767.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0767_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_0767_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0767_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"134","question_id":"angle_estimation_0767_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0767_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[206.8594,383.122],[118.0694,307.8501]],"scene_type":"single","seed":767,"vertex":[248.0,240.0]}
+{"angle_degrees":165.236642,"arc_sweep_degrees":165.236642,"canvas_size":[455,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0768","image_path":"images/angle_estimation_0768.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0768_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_0768_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0768_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"15","question_id":"angle_estimation_0768_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0768_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[383.155,177.0905],[100.0198,345.8012]],"scene_type":"single","seed":768,"vertex":[227.5,245.0]}
+{"angle_1_degrees":107.652767,"angle_2_degrees":26.311726,"angles":[{"angle_degrees":107.652767,"arc_sweep_degrees":107.652767,"ray_endpoints":[[28.1692,237.5096],[177.8897,173.5861]],"vertex":[121.5,262.2]},{"angle_degrees":26.311726,"arc_sweep_degrees":26.311726,"ray_endpoints":[[253.2794,230.8597],[257.8081,181.0771]],"vertex":[328.5,262.2]}],"canvas_size":[450,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0769","image_path":"images/angle_estimation_0769.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0769_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0769_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0769_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0769_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0769_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":769}
+{"angle_1_degrees":15.602033,"angle_2_degrees":62.551543,"angles":[{"angle_degrees":15.602033,"arc_sweep_degrees":15.602033,"ray_endpoints":[[72.4251,181.3645],[83.1899,130.5149]],"vertex":[127.98,262.77]},{"angle_degrees":62.551543,"arc_sweep_degrees":62.551543,"ray_endpoints":[[263.5356,201.7986],[368.0959,123.7475]],"vertex":[346.02,262.77]}],"canvas_size":[474,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0770","image_path":"images/angle_estimation_0770.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0770_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0770_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0770_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0770_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0770_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":770}
+{"angle_1_degrees":97.330131,"angle_2_degrees":70.01217,"angles":[{"angle_degrees":97.330131,"arc_sweep_degrees":97.330131,"ray_endpoints":[[224.8811,241.5473],[136.0005,366.3765]],"vertex":[127.98,261.63]},{"angle_degrees":70.01217,"arc_sweep_degrees":70.01217,"ray_endpoints":[[410.6533,329.9892],[288.4547,376.5004]],"vertex":[346.02,261.63]}],"canvas_size":[474,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0771","image_path":"images/angle_estimation_0771.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0771_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0771_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0771_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0771_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0771_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":771}
+{"angle_1_degrees":33.41528,"angle_2_degrees":86.443028,"angles":[{"angle_degrees":33.41528,"arc_sweep_degrees":33.41528,"ray_endpoints":[[158.8044,354.6651],[102.6167,407.5132]],"vertex":[123.12,276.45]},{"angle_degrees":86.443028,"arc_sweep_degrees":86.443028,"ray_endpoints":[[419.4122,260.0291],[365.5831,404.7305]],"vertex":[332.88,276.45]}],"canvas_size":[456,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0772","image_path":"images/angle_estimation_0772.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0772_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0772_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0772_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0772_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0772_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":772}
+{"angle_1_degrees":29.239615,"angle_2_degrees":54.706582,"angles":[{"angle_degrees":29.239615,"arc_sweep_degrees":29.239615,"ray_endpoints":[[126.4002,379.6199],[72.7811,370.6059]],"vertex":[124.47,274.17]},{"angle_degrees":54.706582,"arc_sweep_degrees":54.706582,"ray_endpoints":[[313.4575,165.3794],[423.7291,179.7811]],"vertex":[336.53,274.17]}],"canvas_size":[461,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0773","image_path":"images/angle_estimation_0773.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0773_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0773_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0773_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0773_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0773_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":773}
+{"angle_1_degrees":153.133573,"angle_2_degrees":27.642289,"angles":[{"angle_degrees":153.133573,"arc_sweep_degrees":153.133573,"ray_endpoints":[[211.5285,214.1723],[49.29,360.5087]],"vertex":[126.63,256.5]},{"angle_degrees":27.642289,"arc_sweep_degrees":27.642289,"ray_endpoints":[[389.3784,316.6636],[363.3371,371.1945]],"vertex":[342.37,256.5]}],"canvas_size":[469,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0774","image_path":"images/angle_estimation_0774.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0774_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0774_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_0774_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0774_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0774_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":774}
+{"angle_1_degrees":150.993108,"angle_2_degrees":112.286275,"angles":[{"angle_degrees":150.993108,"arc_sweep_degrees":150.993108,"ray_endpoints":[[93.0821,156.4681],[221.8976,336.8058]],"vertex":[129.87,257.07]},{"angle_degrees":112.286275,"arc_sweep_degrees":112.286275,"ray_endpoints":[[381.0655,160.2243],[459.7982,346.5311]],"vertex":[351.13,257.07]}],"canvas_size":[481,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0775","image_path":"images/angle_estimation_0775.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0775_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0775_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0775_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0775_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0775_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":775}
+{"canvas_size":[478,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0776","image_path":"images/angle_estimation_0776.png","interior_angles_degrees":[127.166193,18.598198,34.235608],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0776_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0776_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0776_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0776_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0776_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":776,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[148.8791,326.9164],[423.0,326.9164],[55.0,203.0836]]}
+{"canvas_size":[464,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0777","image_path":"images/angle_estimation_0777.png","interior_angles_degrees":[113.481131,27.09662,39.422249],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0777_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0777_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0777_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0777_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0777_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":777,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[133.6843,344.5623],[409.0,344.5623],[55.0,163.4377]]}
+{"canvas_size":[452,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0778","image_path":"images/angle_estimation_0778.png","interior_angles_degrees":[136.649263,24.693055,18.657682],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0778_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0778_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0778_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0778_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0778_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":778,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[221.5762,329.6261],[397.0,329.6261],[55.0,172.3739]]}
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+{"angle_1_degrees":56.479788,"angle_2_degrees":129.345864,"angles":[{"angle_degrees":56.479788,"arc_sweep_degrees":56.479788,"ray_endpoints":[[124.4549,376.8941],[19.9502,344.3782]],"vertex":[132.3,282.72]},{"angle_degrees":129.345864,"arc_sweep_degrees":129.345864,"ray_endpoints":[[432.0014,301.1688],[264.035,352.5606]],"vertex":[357.7,282.72]}],"canvas_size":[490,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0790","image_path":"images/angle_estimation_0790.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0790_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0790_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0790_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0790_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0790_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":790}
+{"angle_1_degrees":105.066145,"angle_2_degrees":43.041721,"angles":[{"angle_degrees":105.066145,"arc_sweep_degrees":105.066145,"ray_endpoints":[[51.6976,255.5102],[176.5259,150.5526]],"vertex":[133.11,263.91]},{"angle_degrees":43.041721,"arc_sweep_degrees":43.041721,"ray_endpoints":[[335.123,370.6837],[271.7685,323.123]],"vertex":[359.89,263.91]}],"canvas_size":[493,463],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0791","image_path":"images/angle_estimation_0791.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0791_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0791_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0791_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0791_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0791_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":791}
+{"angle_1_degrees":19.318103,"angle_2_degrees":77.279438,"angles":[{"angle_degrees":19.318103,"arc_sweep_degrees":19.318103,"ray_endpoints":[[124.4291,354.1856],[78.3801,392.6708]],"vertex":[131.22,275.31]},{"angle_degrees":77.279438,"arc_sweep_degrees":77.279438,"ray_endpoints":[[423.7582,329.1525],[298.9331,393.7006]],"vertex":[354.78,275.31]}],"canvas_size":[486,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0792","image_path":"images/angle_estimation_0792.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0792_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0792_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0792_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0792_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0792_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":792}
+{"angle_1_degrees":121.409485,"angle_2_degrees":50.963866,"angles":[{"angle_degrees":121.409485,"arc_sweep_degrees":121.409485,"ray_endpoints":[[41.9745,307.4334],[171.8594,147.9762]],"vertex":[132.03,283.29]},{"angle_degrees":50.963866,"arc_sweep_degrees":50.963866,"ray_endpoints":[[261.7055,249.5277],[311.3345,154.5729]],"vertex":[356.97,283.29]}],"canvas_size":[489,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0793","image_path":"images/angle_estimation_0793.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0793_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0793_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0793_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0793_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0793_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":793}
+{"angle_1_degrees":93.468334,"angle_2_degrees":59.009387,"angles":[{"angle_degrees":93.468334,"arc_sweep_degrees":93.468334,"ray_endpoints":[[33.9476,201.9477],[212.1906,146.5546]],"vertex":[126.63,262.2]},{"angle_degrees":59.009387,"arc_sweep_degrees":59.009387,"ray_endpoints":[[343.1051,154.734],[435.381,207.1963]],"vertex":[342.37,262.2]}],"canvas_size":[469,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0794","image_path":"images/angle_estimation_0794.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0794_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0794_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0794_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0794_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0794_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":794}
+{"angle_1_degrees":60.011757,"angle_2_degrees":32.675759,"angles":[{"angle_degrees":60.011757,"arc_sweep_degrees":60.011757,"ray_endpoints":[[19.3088,269.8811],[70.0047,165.004]],"vertex":[128.25,273.03]},{"angle_degrees":32.675759,"arc_sweep_degrees":32.675759,"ray_endpoints":[[361.7924,377.4908],[302.0725,371.1499]],"vertex":[346.75,273.03]}],"canvas_size":[475,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0795","image_path":"images/angle_estimation_0795.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0795_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0795_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0795_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0795_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0795_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":795}
+{"canvas_size":[485,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0796","image_path":"images/angle_estimation_0796.png","interior_angles_degrees":[62.390155,48.959792,68.650053],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0796_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0796_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0796_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0796_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0796_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":796,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,388.5508],[430.0,388.5508],[195.7418,119.4492]]}
+{"canvas_size":[488,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0797","image_path":"images/angle_estimation_0797.png","interior_angles_degrees":[57.82547,62.660309,59.51422],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0797_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0797_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0797_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0797_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0797_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":797,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,417.4029],[433.0,417.4029],[262.4851,87.5971]]}
+{"canvas_size":[476,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0798","image_path":"images/angle_estimation_0798.png","interior_angles_degrees":[55.465706,69.843027,54.691267],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0798_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0798_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0798_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0798_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0798_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":798,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,421.9205],[421.0,421.9205],[293.683,75.0795]]}
+{"canvas_size":[462,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0799","image_path":"images/angle_estimation_0799.png","interior_angles_degrees":[66.162922,39.466565,74.370513],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0799_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0799_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0799_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0799_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0799_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":799,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,366.7567],[407.0,366.7567],[148.8939,154.2433]]}
+{"canvas_size":[492,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0800","image_path":"images/angle_estimation_0800.png","interior_angles_degrees":[49.029534,82.320631,48.649834],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0800_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0800_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0800_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0800_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0800_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":800,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,445.8868],[437.0,445.8868],[385.657,65.1132]]}
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+{"angle_1_degrees":39.856113,"angle_2_degrees":137.164991,"angles":[{"angle_degrees":39.856113,"arc_sweep_degrees":39.856113,"ray_endpoints":[[108.2019,368.2245],[24.8105,357.832]],"vertex":[122.31,270.18]},{"angle_degrees":137.164991,"arc_sweep_degrees":137.164991,"ray_endpoints":[[335.5607,180.7312],[417.7866,375.0206]],"vertex":[330.69,270.18]}],"canvas_size":[453,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0809","image_path":"images/angle_estimation_0809.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0809_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0809_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_0809_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0809_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0809_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":809}
+{"angle_1_degrees":140.59781,"angle_2_degrees":112.850814,"angles":[{"angle_degrees":140.59781,"arc_sweep_degrees":140.59781,"ray_endpoints":[[55.8286,312.6199],[195.1746,150.964]],"vertex":[133.65,277.02]},{"angle_degrees":112.850814,"arc_sweep_degrees":112.850814,"ray_endpoints":[[344.3988,352.8614],[261.3431,205.8178]],"vertex":[361.35,277.02]}],"canvas_size":[495,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0810","image_path":"images/angle_estimation_0810.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0810_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0810_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0810_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0810_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0810_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":810}
+{"angle_1_degrees":72.277115,"angle_2_degrees":26.208064,"angles":[{"angle_degrees":72.277115,"arc_sweep_degrees":72.277115,"ray_endpoints":[[45.781,262.7289],[79.0967,125.6094]],"vertex":[122.85,262.77]},{"angle_degrees":26.208064,"arc_sweep_degrees":26.208064,"ray_endpoints":[[256.2675,242.5211],[244.6404,186.2985]],"vertex":[332.15,262.77]}],"canvas_size":[455,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0811","image_path":"images/angle_estimation_0811.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0811_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0811_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0811_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0811_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0811_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":811}
+{"angle_1_degrees":66.285139,"angle_2_degrees":113.206982,"angles":[{"angle_degrees":66.285139,"arc_sweep_degrees":66.285139,"ray_endpoints":[[157.8644,372.2695],[16.4683,369.7217]],"vertex":[122.04,270.75]},{"angle_degrees":113.206982,"arc_sweep_degrees":113.206982,"ray_endpoints":[[422.9185,314.7518],[238.7892,351.3049]],"vertex":[329.96,270.75]}],"canvas_size":[452,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0812","image_path":"images/angle_estimation_0812.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0812_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0812_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0812_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0812_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0812_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":812}
+{"angle_1_degrees":138.02916,"angle_2_degrees":128.14783,"angles":[{"angle_degrees":138.02916,"arc_sweep_degrees":138.02916,"ray_endpoints":[[213.2217,194.2462],[96.5819,374.5349]],"vertex":[123.66,257.07]},{"angle_degrees":128.14783,"arc_sweep_degrees":128.14783,"ray_endpoints":[[439.8351,275.2764],[246.3284,336.4844]],"vertex":[334.34,257.07]}],"canvas_size":[458,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0813","image_path":"images/angle_estimation_0813.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0813_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0813_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0813_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0813_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0813_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":813}
+{"angle_1_degrees":47.094539,"angle_2_degrees":37.512921,"angles":[{"angle_degrees":47.094539,"arc_sweep_degrees":47.094539,"ray_endpoints":[[70.6766,199.9146],[136.5543,131.7668]],"vertex":[131.76,261.06]},{"angle_degrees":37.512921,"arc_sweep_degrees":37.512921,"ray_endpoints":[[263.4719,247.4143],[257.4793,159.2151]],"vertex":[356.24,261.06]}],"canvas_size":[488,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0814","image_path":"images/angle_estimation_0814.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0814_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0814_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0814_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0814_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0814_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":814}
+{"angle_1_degrees":85.923488,"angle_2_degrees":94.252545,"angles":[{"angle_degrees":85.923488,"arc_sweep_degrees":85.923488,"ray_endpoints":[[193.8976,236.7565],[181.2393,386.1246]],"vertex":[121.5,266.76]},{"angle_degrees":94.252545,"arc_sweep_degrees":94.252545,"ray_endpoints":[[269.086,217.8287],[413.3934,178.0055]],"vertex":[328.5,266.76]}],"canvas_size":[450,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0815","image_path":"images/angle_estimation_0815.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0815_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0815_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0815_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0815_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0815_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":815}
+{"canvas_size":[460,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0816","image_path":"images/angle_estimation_0816.png","interior_angles_degrees":[89.805201,36.393044,53.801755],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0816_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0816_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0816_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0816_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0816_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":816,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,387.6659],[405.0,387.6659],[55.8749,130.3341]]}
+{"canvas_size":[458,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0817","image_path":"images/angle_estimation_0817.png","interior_angles_degrees":[90.732559,36.827726,52.439715],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0817_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0817_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0817_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0817_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0817_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":817,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[58.3321,389.3],[403.0,389.3],[55.0,128.7]]}
+{"canvas_size":[480,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0818","image_path":"images/angle_estimation_0818.png","interior_angles_degrees":[90.07353,48.95167,40.9748],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0818_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0818_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0818_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0818_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0818_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":818,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[73.3052,449.0],[407.1876,449.0],[72.8124,65.0]]}
+{"canvas_size":[473,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0819","image_path":"images/angle_estimation_0819.png","interior_angles_degrees":[89.679354,50.462797,39.857849],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0819_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0819_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0819_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0819_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0819_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":819,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[86.9157,425.0],[386.0843,425.0],[88.9304,65.0]]}
+{"canvas_size":[463,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0820","image_path":"images/angle_estimation_0820.png","interior_angles_degrees":[89.979635,43.155876,46.864488],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0820_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0820_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0820_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0820_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0820_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":820,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,415.9338],[408.0,415.9338],[55.1176,85.0662]]}
+{"angle_degrees":344.556733,"arc_sweep_degrees":344.556733,"canvas_size":[486,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0821","image_path":"images/angle_estimation_0821.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0821_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_0821_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0821_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"165","question_id":"angle_estimation_0821_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0821_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[259.9897,396.6824],[291.278,374.6149]],"scene_type":"single","seed":821,"vertex":[243.0,257.5]}
+{"angle_degrees":119.99932,"arc_sweep_degrees":119.99932,"canvas_size":[457,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0822","image_path":"images/angle_estimation_0822.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0822_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_0822_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0822_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"60","question_id":"angle_estimation_0822_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0822_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[223.0354,88.1846],[336.8399,307.2489]],"scene_type":"single","seed":822,"vertex":[228.5,249.5]}
+{"angle_degrees":306.020094,"arc_sweep_degrees":306.020094,"canvas_size":[471,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0823","image_path":"images/angle_estimation_0823.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0823_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_0823_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0823_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"126","question_id":"angle_estimation_0823_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0823_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[251.5765,123.8699],[154.6427,180.712]],"scene_type":"single","seed":823,"vertex":[235.5,256.0]}
+{"angle_degrees":60.277425,"arc_sweep_degrees":60.277425,"canvas_size":[491,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0824","image_path":"images/angle_estimation_0824.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0824_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_0824_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0824_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_0824_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0824_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[381.6954,302.9994],[270.2653,371.9385]],"scene_type":"single","seed":824,"vertex":[245.5,261.0]}
+{"angle_degrees":179.999985,"arc_sweep_degrees":179.999985,"canvas_size":[467,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0825","image_path":"images/angle_estimation_0825.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0825_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_0825_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0825_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_0825_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0825_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[339.3094,348.6907],[117.6476,157.6539]],"scene_type":"single","seed":825,"vertex":[233.5,257.5]}
+{"angle_degrees":226.896176,"arc_sweep_degrees":226.896176,"canvas_size":[485,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0826","image_path":"images/angle_estimation_0826.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0826_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_0826_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0826_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"47","question_id":"angle_estimation_0826_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0826_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[298.5543,399.9391],[308.9474,118.0682]],"scene_type":"single","seed":826,"vertex":[242.5,262.0]}
+{"angle_degrees":25.700343,"arc_sweep_degrees":25.700343,"canvas_size":[472,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0827","image_path":"images/angle_estimation_0827.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0827_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_0827_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0827_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"154","question_id":"angle_estimation_0827_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0827_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[284.6549,104.0681],[345.9703,134.3115]],"scene_type":"single","seed":827,"vertex":[236.0,245.5]}
+{"angle_degrees":255.965702,"arc_sweep_degrees":255.965702,"canvas_size":[462,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0828","image_path":"images/angle_estimation_0828.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0828_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_0828_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0828_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"76","question_id":"angle_estimation_0828_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0828_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[193.5068,110.1913],[88.8662,323.4624]],"scene_type":"single","seed":828,"vertex":[231.0,241.5]}
+{"angle_1_degrees":85.251256,"angle_2_degrees":40.727631,"angles":[{"angle_degrees":85.251256,"arc_sweep_degrees":85.251256,"ray_endpoints":[[38.2289,195.9277],[185.2205,180.3696]],"vertex":[125.01,267.33]},{"angle_degrees":40.727631,"arc_sweep_degrees":40.727631,"ray_endpoints":[[348.9631,160.4253],[437.5016,173.1876]],"vertex":[337.99,267.33]}],"canvas_size":[463,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0829","image_path":"images/angle_estimation_0829.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0829_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0829_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0829_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0829_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0829_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":829}
+{"angle_1_degrees":66.462033,"angle_2_degrees":30.346681,"angles":[{"angle_degrees":66.462033,"arc_sweep_degrees":66.462033,"ray_endpoints":[[37.4388,245.5185],[121.581,157.8652]],"vertex":[123.12,281.58]},{"angle_degrees":30.346681,"arc_sweep_degrees":30.346681,"ray_endpoints":[[433.7616,334.8509],[408.2998,403.1398]],"vertex":[332.88,281.58]}],"canvas_size":[456,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0830","image_path":"images/angle_estimation_0830.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0830_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0830_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0830_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0830_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0830_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":830}
+{"angle_1_degrees":14.052983,"angle_2_degrees":157.591606,"angles":[{"angle_degrees":14.052983,"arc_sweep_degrees":14.052983,"ray_endpoints":[[76.32,199.8706],[76.8529,143.3318]],"vertex":[124.2,269.04]},{"angle_degrees":157.591606,"arc_sweep_degrees":157.591606,"ray_endpoints":[[242.5173,323.4668],[423.7046,153.7728]],"vertex":[335.8,269.04]}],"canvas_size":[460,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0831","image_path":"images/angle_estimation_0831.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0831_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0831_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_0831_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0831_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0831_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":831}
+{"angle_1_degrees":154.456532,"angle_2_degrees":71.436025,"angles":[{"angle_degrees":154.456532,"arc_sweep_degrees":154.456532,"ray_endpoints":[[89.2555,358.1841],[143.7714,144.2198]],"vertex":[133.92,279.87]},{"angle_degrees":71.436025,"arc_sweep_degrees":71.436025,"ray_endpoints":[[436.739,358.4765],[294.7469,406.9789]],"vertex":[362.08,279.87]}],"canvas_size":[496,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0832","image_path":"images/angle_estimation_0832.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0832_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0832_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0832_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0832_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0832_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":832}
+{"angle_1_degrees":26.740927,"angle_2_degrees":71.034872,"angles":[{"angle_degrees":26.740927,"arc_sweep_degrees":26.740927,"ray_endpoints":[[217.013,291.5231],[221.1473,342.2188]],"vertex":[131.22,278.73]},{"angle_degrees":71.034872,"arc_sweep_degrees":71.034872,"ray_endpoints":[[383.8439,368.5636],[257.3698,351.8493]],"vertex":[354.78,278.73]}],"canvas_size":[486,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0833","image_path":"images/angle_estimation_0833.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0833_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0833_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0833_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0833_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0833_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":833}
+{"angle_1_degrees":106.460138,"angle_2_degrees":74.406444,"angles":[{"angle_degrees":106.460138,"arc_sweep_degrees":106.460138,"ray_endpoints":[[94.6426,366.7198],[22.2762,194.4056]],"vertex":[126.36,263.34]},{"angle_degrees":74.406444,"arc_sweep_degrees":74.406444,"ray_endpoints":[[286.6642,186.8969],[416.9211,169.3193]],"vertex":[341.64,263.34]}],"canvas_size":[468,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0834","image_path":"images/angle_estimation_0834.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0834_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0834_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0834_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0834_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0834_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":834}
+{"angle_1_degrees":162.200157,"angle_2_degrees":130.322992,"angles":[{"angle_degrees":162.200157,"arc_sweep_degrees":162.200157,"ray_endpoints":[[62.9562,355.7635],[190.9548,148.7562]],"vertex":[132.03,279.3]},{"angle_degrees":130.322992,"arc_sweep_degrees":130.322992,"ray_endpoints":[[269.1172,227.2629],[469.0342,240.6304]],"vertex":[356.97,279.3]}],"canvas_size":[489,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0835","image_path":"images/angle_estimation_0835.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0835_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0835_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0835_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0835_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0835_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":835}
+{"canvas_size":[476,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0836","image_path":"images/angle_estimation_0836.png","interior_angles_degrees":[135.888943,21.302387,22.80867],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0836_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0836_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0836_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0836_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0836_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":836,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[202.2136,311.8575],[421.0,311.8575],[55.0,169.1425]]}
+{"canvas_size":[485,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0837","image_path":"images/angle_estimation_0837.png","interior_angles_degrees":[131.918224,19.654858,28.426918],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0837_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0837_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0837_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0837_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0837_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":837,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[175.251,314.9681],[430.0,314.9681],[55.0,181.0319]]}
+{"canvas_size":[482,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0838","image_path":"images/angle_estimation_0838.png","interior_angles_degrees":[127.585084,28.570454,23.844462],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0838_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0838_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0838_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0838_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0838_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":838,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[210.9176,359.7861],[427.0,359.7861],[55.0,157.2139]]}
+{"canvas_size":[489,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0839","image_path":"images/angle_estimation_0839.png","interior_angles_degrees":[109.687182,31.411587,38.901231],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0839_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0839_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0839_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0839_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0839_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":839,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[137.8119,380.7239],[434.0,380.7239],[55.0,149.2761]]}
+{"canvas_size":[463,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0840","image_path":"images/angle_estimation_0840.png","interior_angles_degrees":[133.629365,20.994567,25.376068],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0840_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0840_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0840_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0840_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0840_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":840,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[184.1346,320.7328],[408.0,320.7328],[55.0,185.2672]]}
+{"angle_degrees":246.811384,"arc_sweep_degrees":246.811384,"canvas_size":[486,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0841","image_path":"images/angle_estimation_0841.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0841_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_0841_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0841_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"67","question_id":"angle_estimation_0841_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0841_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[394.8531,227.2727],[176.0126,160.9973]],"scene_type":"single","seed":841,"vertex":[243.0,258.0]}
+{"angle_degrees":69.117889,"arc_sweep_degrees":69.117889,"canvas_size":[454,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0842","image_path":"images/angle_estimation_0842.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0842_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_0842_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0842_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"111","question_id":"angle_estimation_0842_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0842_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[257.3925,126.9012],[369.0054,234.3613]],"scene_type":"single","seed":842,"vertex":[227.0,252.5]}
+{"angle_degrees":187.009444,"arc_sweep_degrees":187.009444,"canvas_size":[492,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0843","image_path":"images/angle_estimation_0843.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0843_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_0843_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0843_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"7","question_id":"angle_estimation_0843_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0843_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[365.9792,146.8754],[124.6745,336.3352]],"scene_type":"single","seed":843,"vertex":[246.0,253.0]}
+{"angle_degrees":187.956122,"arc_sweep_degrees":187.956122,"canvas_size":[491,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0844","image_path":"images/angle_estimation_0844.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0844_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0844_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0844_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"8","question_id":"angle_estimation_0844_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0844_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[102.8695,159.3363],[326.5298,336.8669]],"scene_type":"single","seed":844,"vertex":[245.5,260.5]}
+{"angle_degrees":179.99999,"arc_sweep_degrees":179.99999,"canvas_size":[453,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0845","image_path":"images/angle_estimation_0845.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0845_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_0845_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0845_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_0845_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0845_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[116.4078,180.9171],[362.0604,327.2545]],"scene_type":"single","seed":845,"vertex":[226.5,246.5]}
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+{"angle_degrees":150.948493,"arc_sweep_degrees":150.948493,"canvas_size":[478,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0848","image_path":"images/angle_estimation_0848.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0848_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_0848_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0848_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"29","question_id":"angle_estimation_0848_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0848_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[189.3583,382.3883],[220.2312,100.8423]],"scene_type":"single","seed":848,"vertex":[239.0,262.0]}
+{"angle_1_degrees":34.114101,"angle_2_degrees":57.782406,"angles":[{"angle_degrees":34.114101,"arc_sweep_degrees":34.114101,"ray_endpoints":[[180.6571,341.7399],[143.613,407.577]],"vertex":[121.5,280.44]},{"angle_degrees":57.782406,"arc_sweep_degrees":57.782406,"ray_endpoints":[[354.1804,380.2262],[243.6262,370.3477]],"vertex":[328.5,280.44]}],"canvas_size":[450,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0849","image_path":"images/angle_estimation_0849.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0849_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0849_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0849_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0849_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0849_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":849}
+{"angle_1_degrees":109.33725,"angle_2_degrees":79.72866,"angles":[{"angle_degrees":109.33725,"arc_sweep_degrees":109.33725,"ray_endpoints":[[208.2322,314.6814],[29.1912,364.2219]],"vertex":[129.87,272.46]},{"angle_degrees":79.72866,"arc_sweep_degrees":79.72866,"ray_endpoints":[[420.9306,227.5022],[448.1684,376.3155]],"vertex":[351.13,272.46]}],"canvas_size":[481,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0850","image_path":"images/angle_estimation_0850.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0850_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0850_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0850_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0850_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0850_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":850}
+{"angle_1_degrees":122.010021,"angle_2_degrees":83.033695,"angles":[{"angle_degrees":122.010021,"arc_sweep_degrees":122.010021,"ray_endpoints":[[175.6762,190.3685],[195.3526,385.0556]],"vertex":[131.49,270.75]},{"angle_degrees":83.033695,"arc_sweep_degrees":83.033695,"ray_endpoints":[[434.7515,298.5335],[331.6047,379.8836]],"vertex":[355.51,270.75]}],"canvas_size":[487,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0851","image_path":"images/angle_estimation_0851.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0851_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0851_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0851_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0851_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0851_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":851}
+{"angle_1_degrees":14.074949,"angle_2_degrees":88.843339,"angles":[{"angle_degrees":14.074949,"arc_sweep_degrees":14.074949,"ray_endpoints":[[190.9288,178.905],[219.1152,189.5798]],"vertex":[135.0,278.73]},{"angle_degrees":88.843339,"arc_sweep_degrees":88.843339,"ray_endpoints":[[450.448,350.0785],[290.4988,371.7061]],"vertex":[365.0,278.73]}],"canvas_size":[500,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0852","image_path":"images/angle_estimation_0852.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0852_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0852_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0852_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0852_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0852_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":852}
+{"angle_1_degrees":130.764512,"angle_2_degrees":36.845041,"angles":[{"angle_degrees":130.764512,"arc_sweep_degrees":130.764512,"ray_endpoints":[[153.7428,193.577],[197.7236,386.8524]],"vertex":[128.25,267.33]},{"angle_degrees":36.845041,"arc_sweep_degrees":36.845041,"ray_endpoints":[[437.5561,220.2815],[455.1885,285.3897]],"vertex":[346.75,267.33]}],"canvas_size":[475,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0853","image_path":"images/angle_estimation_0853.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0853_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0853_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_0853_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0853_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0853_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":853}
+{"angle_1_degrees":63.663527,"angle_2_degrees":136.238463,"angles":[{"angle_degrees":63.663527,"arc_sweep_degrees":63.663527,"ray_endpoints":[[41.0708,241.765],[112.7906,146.8408]],"vertex":[134.46,269.04]},{"angle_degrees":136.238463,"arc_sweep_degrees":136.238463,"ray_endpoints":[[448.9712,218.1285],[325.111,408.1171]],"vertex":[363.54,269.04]}],"canvas_size":[498,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0854","image_path":"images/angle_estimation_0854.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0854_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0854_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0854_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0854_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0854_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":854}
+{"angle_1_degrees":29.835137,"angle_2_degrees":53.977525,"angles":[{"angle_degrees":29.835137,"arc_sweep_degrees":29.835137,"ray_endpoints":[[138.3109,170.6693],[207.9402,158.2064]],"vertex":[125.55,265.62]},{"angle_degrees":53.977525,"arc_sweep_degrees":53.977525,"ray_endpoints":[[383.4717,169.1017],[448.7006,243.383]],"vertex":[339.45,265.62]}],"canvas_size":[465,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0855","image_path":"images/angle_estimation_0855.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0855_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0855_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0855_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0855_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0855_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":855}
+{"canvas_size":[463,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0856","image_path":"images/angle_estimation_0856.png","interior_angles_degrees":[67.336639,26.934035,85.729326],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0856_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0856_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0856_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0856_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0856_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":856,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,338.4804],[408.0,338.4804],[116.7822,190.5196]]}
+{"canvas_size":[480,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0857","image_path":"images/angle_estimation_0857.png","interior_angles_degrees":[68.061946,49.697069,62.240985],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0857_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0857_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0857_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0857_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0857_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":857,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,408.8913],[425.0,408.8913],[174.1321,113.1087]]}
+{"canvas_size":[483,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0858","image_path":"images/angle_estimation_0858.png","interior_angles_degrees":[47.254388,86.097844,46.647768],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0858_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0858_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0858_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0858_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0858_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":858,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,443.917],[428.0,443.917],[402.364,68.083]]}
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+{"canvas_size":[458,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0860","image_path":"images/angle_estimation_0860.png","interior_angles_degrees":[51.788911,53.904554,74.306535],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0860_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0860_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0860_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0860_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0860_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":860,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,358.751],[403.0,358.751],[235.6722,129.249]]}
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+{"angle_1_degrees":81.205419,"angle_2_degrees":69.262321,"angles":[{"angle_degrees":81.205419,"arc_sweep_degrees":81.205419,"ray_endpoints":[[26.8881,282.9983],[88.7597,134.1079]],"vertex":[125.55,272.46]},{"angle_degrees":69.262321,"arc_sweep_degrees":69.262321,"ray_endpoints":[[439.3237,285.517],[372.5616,412.6483]],"vertex":[339.45,272.46]}],"canvas_size":[465,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0870","image_path":"images/angle_estimation_0870.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0870_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0870_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0870_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0870_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0870_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":870}
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+{"angle_1_degrees":159.679052,"angle_2_degrees":20.181103,"angles":[{"angle_degrees":159.679052,"arc_sweep_degrees":159.679052,"ray_endpoints":[[120.65,364.3835],[104.3005,165.494]],"vertex":[130.95,273.6]},{"angle_degrees":20.181103,"arc_sweep_degrees":20.181103,"ray_endpoints":[[431.2255,195.0394],[468.9271,219.228]],"vertex":[354.05,273.6]}],"canvas_size":[485,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0872","image_path":"images/angle_estimation_0872.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0872_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0872_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_0872_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0872_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0872_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":872}
+{"angle_1_degrees":100.677979,"angle_2_degrees":58.599119,"angles":[{"angle_degrees":100.677979,"arc_sweep_degrees":100.677979,"ray_endpoints":[[48.4974,365.033],[40.0051,171.4544]],"vertex":[123.93,280.44]},{"angle_degrees":58.599119,"arc_sweep_degrees":58.599119,"ray_endpoints":[[259.8847,269.6675],[287.9714,170.7996]],"vertex":[335.07,280.44]}],"canvas_size":[459,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0873","image_path":"images/angle_estimation_0873.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0873_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0873_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0873_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0873_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0873_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":873}
+{"angle_1_degrees":66.620179,"angle_2_degrees":13.500809,"angles":[{"angle_degrees":66.620179,"arc_sweep_degrees":66.620179,"ray_endpoints":[[91.6373,332.7252],[22.402,251.9505]],"vertex":[130.41,262.2]},{"angle_degrees":13.500809,"arc_sweep_degrees":13.500809,"ray_endpoints":[[429.7458,318.114],[425.7789,347.6853]],"vertex":[352.59,262.2]}],"canvas_size":[483,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0874","image_path":"images/angle_estimation_0874.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0874_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0874_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0874_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0874_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0874_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":874}
+{"angle_1_degrees":76.160015,"angle_2_degrees":108.576507,"angles":[{"angle_degrees":76.160015,"arc_sweep_degrees":76.160015,"ray_endpoints":[[67.3033,342.2904],[32.5854,219.0951]],"vertex":[130.14,265.62]},{"angle_degrees":108.576507,"arc_sweep_degrees":108.576507,"ray_endpoints":[[421.4233,203.1703],[400.4971,378.3425]],"vertex":[351.86,265.62]}],"canvas_size":[482,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0875","image_path":"images/angle_estimation_0875.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0875_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0875_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0875_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0875_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0875_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":875}
+{"canvas_size":[495,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0876","image_path":"images/angle_estimation_0876.png","interior_angles_degrees":[89.92839,26.158906,63.912705],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0876_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0876_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0876_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0876_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0876_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":876,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,334.9923],[440.0,334.9923],[55.2362,146.0077]]}
+{"canvas_size":[464,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0877","image_path":"images/angle_estimation_0877.png","interior_angles_degrees":[90.760014,41.897468,47.342518],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0877_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0877_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0877_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0877_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0877_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":877,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[59.2131,423.7989],[409.0,423.7989],[55.0,106.2011]]}
+{"canvas_size":[484,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0878","image_path":"images/angle_estimation_0878.png","interior_angles_degrees":[90.796395,39.624575,49.579031],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0878_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0878_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0878_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0878_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0878_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":878,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[59.3046,412.835],[429.0,412.835],[55.0,103.165]]}
+{"canvas_size":[454,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0879","image_path":"images/angle_estimation_0879.png","interior_angles_degrees":[89.241159,27.765042,62.993799],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0879_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0879_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0879_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0879_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0879_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":879,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,354.9242],[399.0,354.9242],[57.3821,175.0758]]}
+{"canvas_size":[456,455],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0880","image_path":"images/angle_estimation_0880.png","interior_angles_degrees":[91.033105,39.713728,49.253168],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0880_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0880_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0880_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0880_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0880_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":880,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[60.1826,386.1974],[401.0,386.1974],[55.0,98.8026]]}
+{"angle_degrees":68.01661,"arc_sweep_degrees":68.01661,"canvas_size":[492,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0881","image_path":"images/angle_estimation_0881.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0881_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_0881_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0881_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"112","question_id":"angle_estimation_0881_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0881_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[218.2983,102.2475],[379.7371,160.7553]],"scene_type":"single","seed":881,"vertex":[246.0,247.0]}
+{"angle_degrees":228.118171,"arc_sweep_degrees":228.118171,"canvas_size":[450,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0882","image_path":"images/angle_estimation_0882.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0882_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_0882_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0882_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"48","question_id":"angle_estimation_0882_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0882_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[102.3417,134.7415],[218.1113,371.9695]],"scene_type":"single","seed":882,"vertex":[225.0,259.0]}
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+{"angle_1_degrees":23.79941,"angle_2_degrees":115.783318,"angles":[{"angle_degrees":23.79941,"arc_sweep_degrees":23.79941,"ray_endpoints":[[211.2694,334.1459],[190.9821,376.3444]],"vertex":[132.3,278.16]},{"angle_degrees":115.783318,"arc_sweep_degrees":115.783318,"ray_endpoints":[[454.4322,238.2682],[351.2883,386.9681]],"vertex":[357.7,278.16]}],"canvas_size":[490,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0889","image_path":"images/angle_estimation_0889.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0889_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0889_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_0889_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0889_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0889_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":889}
+{"angle_1_degrees":56.81786,"angle_2_degrees":28.861815,"angles":[{"angle_degrees":56.81786,"arc_sweep_degrees":56.81786,"ray_endpoints":[[34.1991,302.459],[35.943,206.6727]],"vertex":[122.31,267.33]},{"angle_degrees":28.861815,"arc_sweep_degrees":28.861815,"ray_endpoints":[[424.0722,318.8885],[405.207,385.5051]],"vertex":[330.69,267.33]}],"canvas_size":[453,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0890","image_path":"images/angle_estimation_0890.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0890_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0890_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0890_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0890_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0890_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":890}
+{"angle_1_degrees":18.485633,"angle_2_degrees":160.757865,"angles":[{"angle_degrees":18.485633,"arc_sweep_degrees":18.485633,"ray_endpoints":[[52.6034,320.8159],[25.0829,296.7909]],"vertex":[132.3,270.75]},{"angle_degrees":160.757865,"arc_sweep_degrees":160.757865,"ray_endpoints":[[282.4038,284.0958],[451.2055,218.292]],"vertex":[357.7,270.75]}],"canvas_size":[490,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0891","image_path":"images/angle_estimation_0891.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0891_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0891_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_0891_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0891_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0891_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":891}
+{"angle_1_degrees":113.952971,"angle_2_degrees":133.226411,"angles":[{"angle_degrees":113.952971,"arc_sweep_degrees":113.952971,"ray_endpoints":[[37.5679,281.8743],[181.1458,165.4068]],"vertex":[125.28,283.86]},{"angle_degrees":133.226411,"arc_sweep_degrees":133.226411,"ray_endpoints":[[397.4594,204.5012],[361.4605,409.4205]],"vertex":[338.72,283.86]}],"canvas_size":[464,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0892","image_path":"images/angle_estimation_0892.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0892_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0892_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0892_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0892_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0892_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":892}
+{"angle_1_degrees":41.797055,"angle_2_degrees":52.782101,"angles":[{"angle_degrees":41.797055,"arc_sweep_degrees":41.797055,"ray_endpoints":[[165.514,352.9948],[95.1454,422.1738]],"vertex":[130.14,285.0]},{"angle_degrees":52.782101,"arc_sweep_degrees":52.782101,"ray_endpoints":[[346.9149,207.327],[444.3828,204.9651]],"vertex":[351.86,285.0]}],"canvas_size":[482,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0893","image_path":"images/angle_estimation_0893.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0893_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0893_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0893_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0893_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0893_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":893}
+{"angle_1_degrees":55.423119,"angle_2_degrees":118.844128,"angles":[{"angle_degrees":55.423119,"arc_sweep_degrees":55.423119,"ray_endpoints":[[65.1973,220.2698],[141.2589,149.4765]],"vertex":[129.06,274.17]},{"angle_degrees":118.844128,"arc_sweep_degrees":118.844128,"ray_endpoints":[[455.8178,256.0333],[306.1874,396.8489]],"vertex":[348.94,274.17]}],"canvas_size":[478,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0894","image_path":"images/angle_estimation_0894.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0894_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0894_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0894_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0894_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0894_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":894}
+{"angle_1_degrees":78.393028,"angle_2_degrees":142.299452,"angles":[{"angle_degrees":78.393028,"arc_sweep_degrees":78.393028,"ray_endpoints":[[207.8006,219.9452],[215.7619,364.041]],"vertex":[132.57,257.07]},{"angle_degrees":142.299452,"arc_sweep_degrees":142.299452,"ray_endpoints":[[282.1172,337.38],[370.912,134.9821]],"vertex":[358.43,257.07]}],"canvas_size":[491,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0895","image_path":"images/angle_estimation_0895.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0895_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0895_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0895_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0895_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0895_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":895}
+{"canvas_size":[462,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0896","image_path":"images/angle_estimation_0896.png","interior_angles_degrees":[111.516407,37.108706,31.374887],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0896_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0896_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0896_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0896_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0896_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":896,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[159.9863,391.6498],[407.0,391.6498],[55.0,125.3502]]}
+{"canvas_size":[453,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0897","image_path":"images/angle_estimation_0897.png","interior_angles_degrees":[109.639308,33.299803,37.060889],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0897_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0897_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0897_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0897_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0897_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":897,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[135.4025,377.6536],[398.0,377.6536],[55.0,152.3464]]}
+{"canvas_size":[476,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0898","image_path":"images/angle_estimation_0898.png","interior_angles_degrees":[137.192712,23.919065,18.888222],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0898_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0898_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0898_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0898_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0898_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":898,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[230.2607,325.1673],[421.0,325.1673],[55.0,162.8327]]}
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+{"canvas_size":[489,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0900","image_path":"images/angle_estimation_0900.png","interior_angles_degrees":[102.006618,28.235235,49.758147],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0900_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0900_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0900_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0900_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0900_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":900,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[98.2837,348.7591],[434.0,348.7591],[55.0,145.2409]]}
+{"angle_degrees":110.16028,"arc_sweep_degrees":110.16028,"canvas_size":[477,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0901","image_path":"images/angle_estimation_0901.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0901_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_0901_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0901_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"70","question_id":"angle_estimation_0901_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0901_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[247.9365,104.1148],[355.8673,309.4458]],"scene_type":"single","seed":901,"vertex":[238.5,258.0]}
+{"angle_degrees":225.750237,"arc_sweep_degrees":225.750237,"canvas_size":[467,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0902","image_path":"images/angle_estimation_0902.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0902_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_0902_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0902_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"46","question_id":"angle_estimation_0902_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0902_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[325.3049,374.9181],[252.3822,118.3872]],"scene_type":"single","seed":902,"vertex":[233.5,257.5]}
+{"angle_degrees":232.128523,"arc_sweep_degrees":232.128523,"canvas_size":[452,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0903","image_path":"images/angle_estimation_0903.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0903_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_0903_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0903_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"52","question_id":"angle_estimation_0903_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0903_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[274.3447,389.3752],[287.2568,159.9125]],"scene_type":"single","seed":903,"vertex":[226.0,258.5]}
+{"angle_degrees":106.4597,"arc_sweep_degrees":106.4597,"canvas_size":[495,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0904","image_path":"images/angle_estimation_0904.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0904_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_0904_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0904_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"74","question_id":"angle_estimation_0904_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0904_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[392.1902,249.4259],[209.3728,410.5481]],"scene_type":"single","seed":904,"vertex":[247.5,256.0]}
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+{"angle_degrees":348.054002,"arc_sweep_degrees":348.054002,"canvas_size":[450,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0906","image_path":"images/angle_estimation_0906.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0906_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_0906_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0906_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"168","question_id":"angle_estimation_0906_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0906_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[182.8074,86.9379],[175.565,147.8338]],"scene_type":"single","seed":906,"vertex":[225.0,245.5]}
+{"angle_degrees":28.281887,"arc_sweep_degrees":28.281887,"canvas_size":[494,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0907","image_path":"images/angle_estimation_0907.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0907_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_0907_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0907_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"152","question_id":"angle_estimation_0907_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0907_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[116.3121,272.49],[131.1313,211.1694]],"scene_type":"single","seed":907,"vertex":[247.0,249.5]}
+{"angle_degrees":297.122454,"arc_sweep_degrees":297.122454,"canvas_size":[491,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0908","image_path":"images/angle_estimation_0908.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0908_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_0908_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0908_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"117","question_id":"angle_estimation_0908_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0908_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[374.2514,200.056],[265.5009,132.1666]],"scene_type":"single","seed":908,"vertex":[245.5,238.0]}
+{"angle_1_degrees":52.722095,"angle_2_degrees":40.669463,"angles":[{"angle_degrees":52.722095,"arc_sweep_degrees":52.722095,"ray_endpoints":[[98.6476,379.0617],[22.8174,322.3776]],"vertex":[125.01,280.44]},{"angle_degrees":40.669463,"arc_sweep_degrees":40.669463,"ray_endpoints":[[443.9515,291.8183],[417.0858,364.664]],"vertex":[337.99,280.44]}],"canvas_size":[463,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0909","image_path":"images/angle_estimation_0909.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0909_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0909_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0909_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0909_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0909_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":909}
+{"angle_1_degrees":148.143482,"angle_2_degrees":36.12361,"angles":[{"angle_degrees":148.143482,"arc_sweep_degrees":148.143482,"ray_endpoints":[[133.0326,168.3384],[203.284,395.7558]],"vertex":[132.03,278.73]},{"angle_degrees":36.12361,"arc_sweep_degrees":36.12361,"ray_endpoints":[[271.0258,221.8935],[319.3332,177.5222]],"vertex":[356.97,278.73]}],"canvas_size":[489,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0910","image_path":"images/angle_estimation_0910.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0910_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0910_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_0910_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0910_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0910_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":910}
+{"angle_1_degrees":92.93203,"angle_2_degrees":47.302569,"angles":[{"angle_degrees":92.93203,"arc_sweep_degrees":92.93203,"ray_endpoints":[[214.2493,206.5514],[203.1569,379.9981]],"vertex":[129.33,270.18]},{"angle_degrees":47.302569,"arc_sweep_degrees":47.302569,"ray_endpoints":[[371.4108,364.7677],[269.8873,386.8828]],"vertex":[349.67,270.18]}],"canvas_size":[479,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0911","image_path":"images/angle_estimation_0911.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0911_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0911_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0911_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0911_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0911_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":911}
+{"angle_1_degrees":10.974265,"angle_2_degrees":81.710627,"angles":[{"angle_degrees":10.974265,"arc_sweep_degrees":10.974265,"ray_endpoints":[[113.9367,366.4212],[83.7692,397.6779]],"vertex":[130.41,283.29]},{"angle_degrees":81.710627,"arc_sweep_degrees":81.710627,"ray_endpoints":[[287.1012,235.4709],[402.7633,188.3171]],"vertex":[352.59,283.29]}],"canvas_size":[483,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0912","image_path":"images/angle_estimation_0912.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0912_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0912_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0912_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0912_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0912_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":912}
+{"angle_1_degrees":71.67087,"angle_2_degrees":119.399979,"angles":[{"angle_degrees":71.67087,"arc_sweep_degrees":71.67087,"ray_endpoints":[[18.7365,248.5756],[96.6056,148.1121]],"vertex":[123.12,257.07]},{"angle_degrees":119.399979,"arc_sweep_degrees":119.399979,"ray_endpoints":[[424.8144,206.8319],[331.4124,369.8843]],"vertex":[332.88,257.07]}],"canvas_size":[456,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0913","image_path":"images/angle_estimation_0913.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0913_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0913_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0913_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0913_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0913_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":913}
+{"angle_1_degrees":138.469763,"angle_2_degrees":128.488927,"angles":[{"angle_degrees":138.469763,"arc_sweep_degrees":138.469763,"ray_endpoints":[[66.6382,359.7323],[101.947,157.048]],"vertex":[122.31,267.33]},{"angle_degrees":128.488927,"arc_sweep_degrees":128.488927,"ray_endpoints":[[281.0404,327.4347],[303.575,139.243]],"vertex":[330.69,267.33]}],"canvas_size":[453,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0914","image_path":"images/angle_estimation_0914.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0914_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0914_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0914_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0914_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0914_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":914}
+{"angle_1_degrees":33.645032,"angle_2_degrees":68.587879,"angles":[{"angle_degrees":33.645032,"arc_sweep_degrees":33.645032,"ray_endpoints":[[200.0231,275.4842],[217.5309,344.879]],"vertex":[124.47,267.33]},{"angle_degrees":68.587879,"arc_sweep_degrees":68.587879,"ray_endpoints":[[420.5172,202.1171],[436.0392,326.555]],"vertex":[336.53,267.33]}],"canvas_size":[461,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0915","image_path":"images/angle_estimation_0915.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0915_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0915_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0915_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0915_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0915_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":915}
+{"canvas_size":[493,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0916","image_path":"images/angle_estimation_0916.png","interior_angles_degrees":[74.437348,45.829293,59.733359],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0916_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0916_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0916_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0916_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0916_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":916,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,411.7042],[438.0,411.7042],[140.3355,105.2958]]}
+{"canvas_size":[498,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0917","image_path":"images/angle_estimation_0917.png","interior_angles_degrees":[71.747262,33.078826,75.173912],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0917_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0917_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0917_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0917_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0917_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":917,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,360.5192],[443.0,360.5192],[123.6118,152.4808]]}
+{"canvas_size":[495,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0918","image_path":"images/angle_estimation_0918.png","interior_angles_degrees":[44.840491,50.626574,84.532936],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0918_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0918_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0918_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0918_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0918_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":918,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,365.4092],[440.0,365.4092],[266.9955,154.5908]]}
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+{"angle_degrees":325.171068,"arc_sweep_degrees":325.171068,"canvas_size":[453,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0922","image_path":"images/angle_estimation_0922.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0922_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_0922_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0922_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"145","question_id":"angle_estimation_0922_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0922_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[283.7904,414.3194],[335.7831,331.2946]],"scene_type":"single","seed":922,"vertex":[226.5,253.0]}
+{"angle_degrees":213.563446,"arc_sweep_degrees":213.563446,"canvas_size":[480,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0923","image_path":"images/angle_estimation_0923.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0923_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_0923_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0923_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"34","question_id":"angle_estimation_0923_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0923_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[131.1566,133.9839],[272.2402,395.9862]],"scene_type":"single","seed":923,"vertex":[240.0,241.5]}
+{"angle_degrees":124.791208,"arc_sweep_degrees":124.791208,"canvas_size":[486,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0924","image_path":"images/angle_estimation_0924.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0924_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_0924_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0924_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"55","question_id":"angle_estimation_0924_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0924_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[241.7503,389.3341],[137.7936,186.3742]],"scene_type":"single","seed":924,"vertex":[243.0,261.0]}
+{"angle_degrees":179.999985,"arc_sweep_degrees":179.999985,"canvas_size":[455,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0925","image_path":"images/angle_estimation_0925.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0925_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_0925_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0925_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_0925_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0925_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[356.2642,289.9863],[89.027,182.0939]],"scene_type":"single","seed":925,"vertex":[227.5,238.0]}
+{"angle_degrees":300.238144,"arc_sweep_degrees":300.238144,"canvas_size":[491,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0926","image_path":"images/angle_estimation_0926.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0926_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_0926_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0926_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_0926_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0926_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[407.9359,219.3478],[288.057,130.1678]],"scene_type":"single","seed":926,"vertex":[245.5,250.0]}
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+{"angle_degrees":193.068117,"arc_sweep_degrees":193.068117,"canvas_size":[469,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0928","image_path":"images/angle_estimation_0928.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0928_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0928_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0928_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"13","question_id":"angle_estimation_0928_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0928_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[392.2393,205.7319],[72.9904,257.3572]],"scene_type":"single","seed":928,"vertex":[234.5,250.0]}
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+{"angle_1_degrees":85.434549,"angle_2_degrees":131.633474,"angles":[{"angle_degrees":85.434549,"arc_sweep_degrees":85.434549,"ray_endpoints":[[212.7118,235.2859],[175.7822,378.3939]],"vertex":[130.41,259.35]},{"angle_degrees":131.633474,"arc_sweep_degrees":131.633474,"ray_endpoints":[[434.411,257.5761],[273.7209,352.0488]],"vertex":[352.59,259.35]}],"canvas_size":[483,455],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0930","image_path":"images/angle_estimation_0930.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0930_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0930_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0930_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0930_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0930_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":930}
+{"angle_1_degrees":28.625108,"angle_2_degrees":63.169758,"angles":[{"angle_degrees":28.625108,"arc_sweep_degrees":28.625108,"ray_endpoints":[[75.0621,203.7814],[105.9654,145.2502]],"vertex":[128.79,270.18]},{"angle_degrees":63.169758,"arc_sweep_degrees":63.169758,"ray_endpoints":[[435.3316,249.5366],[422.8081,358.5782]],"vertex":[348.21,270.18]}],"canvas_size":[477,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0931","image_path":"images/angle_estimation_0931.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0931_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0931_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0931_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0931_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0931_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":931}
+{"angle_1_degrees":34.651658,"angle_2_degrees":157.886798,"angles":[{"angle_degrees":34.651658,"arc_sweep_degrees":34.651658,"ray_endpoints":[[48.671,251.5536],[47.4975,189.1165]],"vertex":[130.41,259.92]},{"angle_degrees":157.886798,"arc_sweep_degrees":157.886798,"ray_endpoints":[[354.923,152.7498],[402.5269,390.9242]],"vertex":[352.59,259.92]}],"canvas_size":[483,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0932","image_path":"images/angle_estimation_0932.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0932_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0932_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_0932_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0932_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0932_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":932}
+{"angle_1_degrees":37.910798,"angle_2_degrees":90.431588,"angles":[{"angle_degrees":37.910798,"arc_sweep_degrees":37.910798,"ray_endpoints":[[163.2055,373.0316],[88.2238,399.1792]],"vertex":[130.41,277.02]},{"angle_degrees":90.431588,"arc_sweep_degrees":90.431588,"ray_endpoints":[[310.3559,199.571],[448.1027,225.8651]],"vertex":[352.59,277.02]}],"canvas_size":[483,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0933","image_path":"images/angle_estimation_0933.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0933_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0933_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0933_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0933_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0933_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":933}
+{"angle_1_degrees":62.824585,"angle_2_degrees":34.34743,"angles":[{"angle_degrees":62.824585,"arc_sweep_degrees":62.824585,"ray_endpoints":[[19.7856,271.2656],[64.722,155.0292]],"vertex":[129.33,265.05]},{"angle_degrees":34.34743,"arc_sweep_degrees":34.34743,"ray_endpoints":[[441.9094,324.0294],[402.0831,388.1865]],"vertex":[349.67,265.05]}],"canvas_size":[479,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0934","image_path":"images/angle_estimation_0934.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0934_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0934_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0934_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0934_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0934_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":934}
+{"angle_1_degrees":27.80273,"angle_2_degrees":150.613249,"angles":[{"angle_degrees":27.80273,"arc_sweep_degrees":27.80273,"ray_endpoints":[[160.1198,201.0823],[233.9889,185.6743]],"vertex":[133.11,282.72]},{"angle_degrees":150.613249,"arc_sweep_degrees":150.613249,"ray_endpoints":[[373.6318,360.7156],[279.6712,184.9869]],"vertex":[359.89,282.72]}],"canvas_size":[493,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0935","image_path":"images/angle_estimation_0935.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0935_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0935_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_0935_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0935_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0935_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":935}
+{"canvas_size":[459,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0936","image_path":"images/angle_estimation_0936.png","interior_angles_degrees":[88.977887,28.243604,62.778508],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0936_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0936_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0936_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0936_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0936_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":936,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,346.3473],[404.0,346.3473],[58.313,160.6527]]}
+{"canvas_size":[484,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0937","image_path":"images/angle_estimation_0937.png","interior_angles_degrees":[90.241229,39.676523,50.082248],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0937_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0937_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0937_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0937_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0937_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":937,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.3062,399.121],[429.0,399.121],[55.0,88.879]]}
+{"canvas_size":[478,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0938","image_path":"images/angle_estimation_0938.png","interior_angles_degrees":[90.399421,44.4755,45.12508],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0938_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0938_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0938_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0938_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0938_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":938,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[57.5189,436.1617],[423.0,436.1617],[55.0,74.8383]]}
+{"canvas_size":[456,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0939","image_path":"images/angle_estimation_0939.png","interior_angles_degrees":[89.624985,32.407859,57.967155],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0939_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0939_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0939_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0939_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0939_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":939,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,353.868],[401.0,353.868],[56.4317,135.132]]}
+{"canvas_size":[472,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0940","image_path":"images/angle_estimation_0940.png","interior_angles_degrees":[90.346971,56.004681,33.648348],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0940_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0940_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0940_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0940_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0940_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":940,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[114.472,432.0],[359.7505,432.0],[112.2495,65.0]]}
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+{"angle_1_degrees":79.390097,"angle_2_degrees":20.905223,"angles":[{"angle_degrees":79.390097,"arc_sweep_degrees":79.390097,"ray_endpoints":[[39.5089,338.9251],[15.8904,184.4581]],"vertex":[121.5,264.48]},{"angle_degrees":20.905223,"arc_sweep_degrees":20.905223,"ray_endpoints":[[287.2888,351.7685],[244.0965,345.481]],"vertex":[328.5,264.48]}],"canvas_size":[450,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0953","image_path":"images/angle_estimation_0953.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0953_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0953_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0953_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0953_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0953_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":953}
+{"angle_1_degrees":29.755549,"angle_2_degrees":155.320607,"angles":[{"angle_degrees":29.755549,"arc_sweep_degrees":29.755549,"ray_endpoints":[[198.9738,320.3911],[188.5316,387.8021]],"vertex":[124.47,277.02]},{"angle_degrees":155.320607,"arc_sweep_degrees":155.320607,"ray_endpoints":[[384.0217,174.4624],[336.181,395.8978]],"vertex":[336.53,277.02]}],"canvas_size":[461,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0954","image_path":"images/angle_estimation_0954.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0954_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0954_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_0954_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0954_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0954_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":954}
+{"angle_1_degrees":92.42373,"angle_2_degrees":112.38989,"angles":[{"angle_degrees":92.42373,"arc_sweep_degrees":92.42373,"ray_endpoints":[[130.2678,347.7755],[22.1284,262.8972]],"vertex":[132.84,271.32]},{"angle_degrees":112.38989,"arc_sweep_degrees":112.38989,"ray_endpoints":[[398.3025,171.7148],[442.7065,351.5602]],"vertex":[359.16,271.32]}],"canvas_size":[492,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0955","image_path":"images/angle_estimation_0955.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0955_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0955_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0955_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0955_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0955_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":955}
+{"canvas_size":[493,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0956","image_path":"images/angle_estimation_0956.png","interior_angles_degrees":[129.030215,25.47413,25.495655],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0956_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0956_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0956_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0956_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0956_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":956,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[202.9202,343.7347],[438.0,343.7347],[55.0,161.2653]]}
+{"canvas_size":[479,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0957","image_path":"images/angle_estimation_0957.png","interior_angles_degrees":[106.39518,26.780115,46.824705],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0957_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0957_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0957_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0957_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0957_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":957,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[109.7948,338.6173],[424.0,338.6173],[55.0,152.3827]]}
+{"canvas_size":[470,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0958","image_path":"images/angle_estimation_0958.png","interior_angles_degrees":[118.158179,23.773945,38.067876],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0958_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0958_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0958_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0958_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0958_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":958,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[139.8827,338.7917],[415.0,338.7917],[55.0,180.2083]]}
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+{"canvas_size":[474,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0960","image_path":"images/angle_estimation_0960.png","interior_angles_degrees":[135.346423,20.527916,24.125661],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0960_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_0960_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0960_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0960_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0960_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":960,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[192.9544,325.6481],[419.0,325.6481],[55.0,189.3519]]}
+{"angle_degrees":189.880565,"arc_sweep_degrees":189.880565,"canvas_size":[491,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0961","image_path":"images/angle_estimation_0961.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0961_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0961_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0961_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"10","question_id":"angle_estimation_0961_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0961_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[241.6993,391.9341],[277.313,105.8244]],"scene_type":"single","seed":961,"vertex":[245.5,261.5]}
+{"angle_degrees":231.510392,"arc_sweep_degrees":231.510392,"canvas_size":[466,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0962","image_path":"images/angle_estimation_0962.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0962_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_0962_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0962_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"52","question_id":"angle_estimation_0962_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0962_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[276.2069,395.3819],[296.7984,161.8353]],"scene_type":"single","seed":962,"vertex":[233.0,255.0]}
+{"angle_degrees":83.150396,"arc_sweep_degrees":83.150396,"canvas_size":[484,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0963","image_path":"images/angle_estimation_0963.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0963_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_0963_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0963_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"97","question_id":"angle_estimation_0963_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0963_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[137.3921,379.8304],[114.0632,168.8132]],"scene_type":"single","seed":963,"vertex":[242.0,246.5]}
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+{"angle_degrees":233.870061,"arc_sweep_degrees":233.870061,"canvas_size":[452,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0966","image_path":"images/angle_estimation_0966.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0966_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_0966_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0966_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"54","question_id":"angle_estimation_0966_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0966_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[152.2224,377.4102],[358.1489,232.3567]],"scene_type":"single","seed":966,"vertex":[226.0,247.5]}
+{"angle_degrees":83.3423,"arc_sweep_degrees":83.3423,"canvas_size":[483,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0967","image_path":"images/angle_estimation_0967.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0967_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_0967_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0967_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"97","question_id":"angle_estimation_0967_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0967_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[97.7638,212.9781],[251.5667,102.8194]],"scene_type":"single","seed":967,"vertex":[241.5,240.5]}
+{"angle_degrees":205.50272,"arc_sweep_degrees":205.50272,"canvas_size":[456,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0968","image_path":"images/angle_estimation_0968.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0968_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_0968_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0968_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"26","question_id":"angle_estimation_0968_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0968_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[143.3842,113.9874],[242.6779,362.9122]],"scene_type":"single","seed":968,"vertex":[228.0,246.0]}
+{"angle_1_degrees":38.786232,"angle_2_degrees":50.335745,"angles":[{"angle_degrees":38.786232,"arc_sweep_degrees":38.786232,"ray_endpoints":[[23.9402,318.9255],[15.6535,242.8861]],"vertex":[127.98,280.44]},{"angle_degrees":50.335745,"arc_sweep_degrees":50.335745,"ray_endpoints":[[252.6001,229.0424],[318.8886,138.8249]],"vertex":[346.02,280.44]}],"canvas_size":[474,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0969","image_path":"images/angle_estimation_0969.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0969_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0969_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0969_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0969_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0969_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":969}
+{"angle_1_degrees":67.679021,"angle_2_degrees":116.74078,"angles":[{"angle_degrees":67.679021,"arc_sweep_degrees":67.679021,"ray_endpoints":[[195.4243,370.4673],[63.1485,391.8095]],"vertex":[126.36,281.58]},{"angle_degrees":116.74078,"arc_sweep_degrees":116.74078,"ray_endpoints":[[262.9874,322.5325],[339.8878,150.203]],"vertex":[341.64,281.58]}],"canvas_size":[468,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0970","image_path":"images/angle_estimation_0970.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0970_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0970_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0970_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0970_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0970_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":970}
+{"angle_1_degrees":167.977326,"angle_2_degrees":120.985256,"angles":[{"angle_degrees":167.977326,"arc_sweep_degrees":167.977326,"ray_endpoints":[[137.3843,344.9518],[88.6852,163.553]],"vertex":[125.82,264.48]},{"angle_degrees":120.985256,"arc_sweep_degrees":120.985256,"ray_endpoints":[[448.67,243.5332],[301.3966,370.7059]],"vertex":[340.18,264.48]}],"canvas_size":[466,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0971","image_path":"images/angle_estimation_0971.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0971_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0971_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_0971_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0971_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0971_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":971}
+{"angle_1_degrees":13.230986,"angle_2_degrees":70.107873,"angles":[{"angle_degrees":13.230986,"arc_sweep_degrees":13.230986,"ray_endpoints":[[144.1804,363.5219],[115.3575,400.6552]],"vertex":[133.92,260.49]},{"angle_degrees":70.107873,"arc_sweep_degrees":70.107873,"ray_endpoints":[[292.1303,224.6016],[377.7556,137.5854]],"vertex":[362.08,260.49]}],"canvas_size":[496,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0972","image_path":"images/angle_estimation_0972.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0972_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0972_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_0972_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0972_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0972_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":972}
+{"angle_1_degrees":51.941415,"angle_2_degrees":134.54851,"angles":[{"angle_degrees":51.941415,"arc_sweep_degrees":51.941415,"ray_endpoints":[[209.1547,345.4765],[123.4324,394.2479]],"vertex":[123.93,278.16]},{"angle_degrees":134.54851,"arc_sweep_degrees":134.54851,"ray_endpoints":[[425.5093,301.6441],[242.4782,333.5644]],"vertex":[335.07,278.16]}],"canvas_size":[459,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0973","image_path":"images/angle_estimation_0973.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0973_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0973_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_0973_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0973_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0973_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":973}
+{"angle_1_degrees":120.947611,"angle_2_degrees":155.805235,"angles":[{"angle_degrees":120.947611,"arc_sweep_degrees":120.947611,"ray_endpoints":[[108.2366,363.684],[38.7869,192.4231]],"vertex":[127.17,274.74]},{"angle_degrees":155.805235,"arc_sweep_degrees":155.805235,"ray_endpoints":[[316.0894,189.782],[416.3921,354.547]],"vertex":[343.83,274.74]}],"canvas_size":[471,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0974","image_path":"images/angle_estimation_0974.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0974_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0974_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_0974_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0974_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0974_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":974}
+{"angle_1_degrees":30.797491,"angle_2_degrees":52.773372,"angles":[{"angle_degrees":30.797491,"arc_sweep_degrees":30.797491,"ray_endpoints":[[166.453,384.4157],[105.1679,406.165]],"vertex":[129.87,281.58]},{"angle_degrees":52.773372,"arc_sweep_degrees":52.773372,"ray_endpoints":[[408.3327,371.8622],[303.125,410.5577]],"vertex":[351.13,281.58]}],"canvas_size":[481,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0975","image_path":"images/angle_estimation_0975.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0975_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0975_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0975_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0975_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0975_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":975}
+{"canvas_size":[471,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0976","image_path":"images/angle_estimation_0976.png","interior_angles_degrees":[69.862996,30.179099,79.957905],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0976_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0976_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0976_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0976_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0976_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":976,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,350.017],[416.0,350.017],[118.4482,176.983]]}
+{"canvas_size":[490,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0977","image_path":"images/angle_estimation_0977.png","interior_angles_degrees":[59.67749,58.172222,62.150288],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0977_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0977_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0977_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0977_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0977_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":977,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,422.1008],[435.0,422.1008],[239.3551,106.8992]]}
+{"canvas_size":[487,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0978","image_path":"images/angle_estimation_0978.png","interior_angles_degrees":[68.899073,31.090469,80.010458],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0978_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0978_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0978_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0978_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0978_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":978,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,336.7108],[432.0,336.7108],[126.1658,152.2892]]}
+{"canvas_size":[479,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0979","image_path":"images/angle_estimation_0979.png","interior_angles_degrees":[44.678161,64.463257,70.858582],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0979_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0979_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_0979_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0979_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0979_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":979,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,369.4036],[424.0,369.4036],[305.6069,121.5964]]}
+{"canvas_size":[477,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0980","image_path":"images/angle_estimation_0980.png","interior_angles_degrees":[55.590728,68.514202,55.89507],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0980_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_0980_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_0980_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0980_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0980_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":980,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,419.6317],[422.0,419.6317],[288.0641,79.3683]]}
+{"angle_degrees":56.776547,"arc_sweep_degrees":56.776547,"canvas_size":[464,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0981","image_path":"images/angle_estimation_0981.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0981_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_0981_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0981_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"123","question_id":"angle_estimation_0981_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0981_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[62.9754,245.5165],[158.2434,135.4799]],"scene_type":"single","seed":981,"vertex":[232.0,238.5]}
+{"angle_degrees":295.106761,"arc_sweep_degrees":295.106761,"canvas_size":[482,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0982","image_path":"images/angle_estimation_0982.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0982_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_0982_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0982_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"115","question_id":"angle_estimation_0982_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0982_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[286.8826,119.1815],[133.7767,129.3473]],"scene_type":"single","seed":982,"vertex":[241.0,240.0]}
+{"angle_degrees":137.699803,"arc_sweep_degrees":137.699803,"canvas_size":[492,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0983","image_path":"images/angle_estimation_0983.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0983_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_0983_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0983_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"42","question_id":"angle_estimation_0983_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0983_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[398.079,266.3347],[135.4482,338.2563]],"scene_type":"single","seed":983,"vertex":[246.0,253.5]}
+{"angle_degrees":43.290595,"arc_sweep_degrees":43.290595,"canvas_size":[496,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0984","image_path":"images/angle_estimation_0984.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0984_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_0984_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0984_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"137","question_id":"angle_estimation_0984_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0984_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[165.1321,359.5599],[87.4014,278.9175]],"scene_type":"single","seed":984,"vertex":[248.0,257.0]}
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+{"angle_degrees":190.028878,"arc_sweep_degrees":190.028878,"canvas_size":[484,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_0987","image_path":"images/angle_estimation_0987.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_0987_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_0987_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_0987_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"10","question_id":"angle_estimation_0987_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_0987_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[364.1308,290.8073],[147.5537,205.3456]],"scene_type":"single","seed":987,"vertex":[242.0,253.5]}
+{"angle_degrees":46.50902,"arc_sweep_degrees":46.50902,"canvas_size":[469,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_0988","image_path":"images/angle_estimation_0988.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_0988_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_0988_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_0988_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"133","question_id":"angle_estimation_0988_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_0988_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[364.0526,242.5378],[318.0582,327.5587]],"scene_type":"single","seed":988,"vertex":[234.5,256.0]}
+{"angle_1_degrees":32.428718,"angle_2_degrees":159.068968,"angles":[{"angle_degrees":32.428718,"arc_sweep_degrees":32.428718,"ray_endpoints":[[206.121,307.0941],[213.205,382.8773]],"vertex":[122.85,285.0]},{"angle_degrees":159.068968,"arc_sweep_degrees":159.068968,"ray_endpoints":[[362.347,358.1624],[255.6571,203.9947]],"vertex":[332.15,285.0]}],"canvas_size":[455,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0989","image_path":"images/angle_estimation_0989.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0989_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0989_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_0989_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0989_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0989_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":989}
+{"angle_1_degrees":126.218154,"angle_2_degrees":136.537539,"angles":[{"angle_degrees":126.218154,"arc_sweep_degrees":126.218154,"ray_endpoints":[[228.1451,218.2705],[96.0448,391.0855]],"vertex":[130.14,257.64]},{"angle_degrees":136.537539,"arc_sweep_degrees":136.537539,"ray_endpoints":[[308.0005,152.9643],[458.1037,304.5072]],"vertex":[351.86,257.64]}],"canvas_size":[482,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0990","image_path":"images/angle_estimation_0990.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0990_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0990_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0990_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0990_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0990_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":990}
+{"angle_1_degrees":49.818047,"angle_2_degrees":37.78607,"angles":[{"angle_degrees":49.818047,"arc_sweep_degrees":49.818047,"ray_endpoints":[[209.3419,267.5345],[214.4552,367.2201]],"vertex":[123.93,273.03]},{"angle_degrees":37.78607,"arc_sweep_degrees":37.78607,"ray_endpoints":[[266.4036,185.1869],[334.5286,137.2443]],"vertex":[335.07,273.03]}],"canvas_size":[459,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0991","image_path":"images/angle_estimation_0991.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0991_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0991_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0991_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0991_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0991_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":991}
+{"angle_1_degrees":127.976654,"angle_2_degrees":56.259363,"angles":[{"angle_degrees":127.976654,"arc_sweep_degrees":127.976654,"ray_endpoints":[[189.7127,193.7109],[151.3014,400.6494]],"vertex":[124.74,269.61]},{"angle_degrees":56.259363,"arc_sweep_degrees":56.259363,"ray_endpoints":[[273.303,208.2653],[358.306,151.0393]],"vertex":[337.26,269.61]}],"canvas_size":[462,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0992","image_path":"images/angle_estimation_0992.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0992_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0992_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_0992_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0992_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_0992_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":992}
+{"angle_1_degrees":160.259323,"angle_2_degrees":136.806938,"angles":[{"angle_degrees":160.259323,"arc_sweep_degrees":160.259323,"ray_endpoints":[[59.7292,316.2697],[177.2587,155.8827]],"vertex":[122.31,259.35]},{"angle_degrees":136.806938,"arc_sweep_degrees":136.806938,"ray_endpoints":[[415.7981,187.8188],[314.645,394.6962]],"vertex":[330.69,259.35]}],"canvas_size":[453,455],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0993","image_path":"images/angle_estimation_0993.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0993_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0993_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_0993_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_0993_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0993_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":993}
+{"angle_1_degrees":54.171219,"angle_2_degrees":44.493,"angles":[{"angle_degrees":54.171219,"arc_sweep_degrees":54.171219,"ray_endpoints":[[47.2543,311.0747],[31.398,220.2935]],"vertex":[123.66,283.86]},{"angle_degrees":44.493,"arc_sweep_degrees":44.493,"ray_endpoints":[[438.4536,293.78],[424.7375,391.3465]],"vertex":[334.34,283.86]}],"canvas_size":[458,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0994","image_path":"images/angle_estimation_0994.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0994_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_0994_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_0994_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_0994_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0994_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":994}
+{"angle_1_degrees":76.954773,"angle_2_degrees":112.483033,"angles":[{"angle_degrees":76.954773,"arc_sweep_degrees":76.954773,"ray_endpoints":[[207.3428,339.2211],[70.8863,367.0287]],"vertex":[124.47,266.76]},{"angle_degrees":112.483033,"arc_sweep_degrees":112.483033,"ray_endpoints":[[419.6174,283.788],[261.0705,378.3604]],"vertex":[336.53,266.76]}],"canvas_size":[461,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_0995","image_path":"images/angle_estimation_0995.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_0995_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_0995_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_0995_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_0995_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_0995_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":995}
+{"canvas_size":[478,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0996","image_path":"images/angle_estimation_0996.png","interior_angles_degrees":[89.12943,41.849388,49.021182],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0996_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0996_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0996_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0996_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0996_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":996,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,417.5878],[423.0,417.5878],[59.9412,92.4122]]}
+{"canvas_size":[479,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0997","image_path":"images/angle_estimation_0997.png","interior_angles_degrees":[89.282694,40.413404,50.303903],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0997_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0997_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0997_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0997_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0997_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":997,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,409.4392],[424.0,409.4392],[58.8922,98.5608]]}
+{"canvas_size":[460,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0998","image_path":"images/angle_estimation_0998.png","interior_angles_degrees":[90.071819,33.746161,56.18202],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0998_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0998_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0998_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0998_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0998_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":998,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.2931,371.9143],[405.0,371.9143],[55.0,138.0857]]}
+{"canvas_size":[500,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_0999","image_path":"images/angle_estimation_0999.png","interior_angles_degrees":[90.819478,48.300669,40.879853],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_0999_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_0999_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_0999_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_0999_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_0999_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":999,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[80.5503,458.0],[425.071,458.0],[74.929,65.0]]}
+{"canvas_size":[499,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1000","image_path":"images/angle_estimation_1000.png","interior_angles_degrees":[89.118115,34.801094,56.080791],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1000_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1000_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1000_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1000_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1000_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1000,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,387.2555],[444.0,387.2555],[59.1178,119.7445]]}
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+{"angle_degrees":341.876468,"arc_sweep_degrees":341.876468,"canvas_size":[476,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1004","image_path":"images/angle_estimation_1004.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1004_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_1004_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1004_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"162","question_id":"angle_estimation_1004_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1004_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[82.5773,231.336],[96.3678,277.7725]],"scene_type":"single","seed":1004,"vertex":[238.0,240.0]}
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+{"angle_degrees":125.700521,"arc_sweep_degrees":125.700521,"canvas_size":[483,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1008","image_path":"images/angle_estimation_1008.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1008_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_1008_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1008_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"54","question_id":"angle_estimation_1008_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1008_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[393.9562,300.8822],[111.9423,345.759]],"scene_type":"single","seed":1008,"vertex":[241.5,251.0]}
+{"angle_1_degrees":87.977949,"angle_2_degrees":22.414665,"angles":[{"angle_degrees":87.977949,"arc_sweep_degrees":87.977949,"ray_endpoints":[[28.584,254.7107],[122.1118,114.7339]],"vertex":[124.47,256.5]},{"angle_degrees":22.414665,"arc_sweep_degrees":22.414665,"ray_endpoints":[[360.6318,361.4081],[313.9363,391.8638]],"vertex":[336.53,256.5]}],"canvas_size":[461,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1009","image_path":"images/angle_estimation_1009.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1009_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1009_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1009_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1009_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1009_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1009}
+{"angle_1_degrees":23.308132,"angle_2_degrees":79.479763,"angles":[{"angle_degrees":23.308132,"arc_sweep_degrees":23.308132,"ray_endpoints":[[122.0265,197.3064],[165.9609,160.2536]],"vertex":[132.84,278.16]},{"angle_degrees":79.479763,"arc_sweep_degrees":79.479763,"ray_endpoints":[[276.1478,272.9942],[342.3958,140.821]],"vertex":[359.16,278.16]}],"canvas_size":[492,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1010","image_path":"images/angle_estimation_1010.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1010_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1010_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1010_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1010_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1010_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1010}
+{"angle_1_degrees":80.827841,"angle_2_degrees":90.850356,"angles":[{"angle_degrees":80.827841,"arc_sweep_degrees":80.827841,"ray_endpoints":[[67.8856,321.9],[29.743,190.2395]],"vertex":[127.71,265.62]},{"angle_degrees":90.850356,"arc_sweep_degrees":90.850356,"ray_endpoints":[[255.0607,308.0296],[300.1802,165.8249]],"vertex":[345.29,265.62]}],"canvas_size":[473,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1011","image_path":"images/angle_estimation_1011.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1011_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1011_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1011_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1011_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1011_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1011}
+{"angle_1_degrees":14.764864,"angle_2_degrees":51.022557,"angles":[{"angle_degrees":14.764864,"arc_sweep_degrees":14.764864,"ray_endpoints":[[161.903,365.5386],[135.571,388.248]],"vertex":[127.17,262.2]},{"angle_degrees":51.022557,"arc_sweep_degrees":51.022557,"ray_endpoints":[[414.9415,223.1774],[456.3791,308.2833]],"vertex":[343.83,262.2]}],"canvas_size":[471,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1012","image_path":"images/angle_estimation_1012.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1012_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1012_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1012_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1012_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1012_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1012}
+{"angle_1_degrees":29.20909,"angle_2_degrees":70.421735,"angles":[{"angle_degrees":29.20909,"arc_sweep_degrees":29.20909,"ray_endpoints":[[68.1466,211.6352],[107.8677,173.8307]],"vertex":[129.87,283.86]},{"angle_degrees":70.421735,"arc_sweep_degrees":70.421735,"ray_endpoints":[[378.1751,366.3267],[258.9692,355.1806]],"vertex":[351.13,283.86]}],"canvas_size":[481,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1013","image_path":"images/angle_estimation_1013.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1013_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1013_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1013_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1013_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1013_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1013}
+{"angle_1_degrees":26.41921,"angle_2_degrees":147.745714,"angles":[{"angle_degrees":26.41921,"arc_sweep_degrees":26.41921,"ray_endpoints":[[131.2758,361.5791],[71.8305,377.1194]],"vertex":[130.14,256.5]},{"angle_degrees":147.745714,"arc_sweep_degrees":147.745714,"ray_endpoints":[[297.9753,352.9131],[345.4794,136.8968]],"vertex":[351.86,256.5]}],"canvas_size":[482,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1014","image_path":"images/angle_estimation_1014.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1014_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1014_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_1014_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1014_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1014_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1014}
+{"angle_1_degrees":58.151377,"angle_2_degrees":159.501954,"angles":[{"angle_degrees":58.151377,"arc_sweep_degrees":58.151377,"ray_endpoints":[[36.0912,320.5954],[13.9207,206.6385]],"vertex":[123.12,283.86]},{"angle_degrees":159.501954,"arc_sweep_degrees":159.501954,"ray_endpoints":[[322.8755,182.8417],[384.5671,389.1154]],"vertex":[332.88,283.86]}],"canvas_size":[456,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1015","image_path":"images/angle_estimation_1015.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1015_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1015_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1015_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1015_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1015_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1015}
+{"canvas_size":[473,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1016","image_path":"images/angle_estimation_1016.png","interior_angles_degrees":[112.645291,32.375215,34.979494],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1016_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1016_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1016_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1016_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1016_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1016,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[151.0143,378.0733],[418.0,378.0733],[55.0,147.9267]]}
+{"canvas_size":[480,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1017","image_path":"images/angle_estimation_1017.png","interior_angles_degrees":[131.641351,20.992321,27.366328],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1017_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1017_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1017_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1017_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1017_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1017,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[181.2327,330.9864],[425.0,330.9864],[55.0,189.0136]]}
+{"canvas_size":[475,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1018","image_path":"images/angle_estimation_1018.png","interior_angles_degrees":[127.780693,23.580175,28.639132],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1018_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1018_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1018_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1018_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1018_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1018,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[178.4908,340.1571],[420.0,340.1571],[55.0,180.8429]]}
+{"canvas_size":[452,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1019","image_path":"images/angle_estimation_1019.png","interior_angles_degrees":[130.652125,24.019598,25.328277],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1019_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1019_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1019_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1019_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1019_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1019,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[185.8705,326.7042],[397.0,326.7042],[55.0,174.2958]]}
+{"canvas_size":[457,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1020","image_path":"images/angle_estimation_1020.png","interior_angles_degrees":[115.028128,24.867138,40.104734],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1020_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1020_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1020_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1020_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1020_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1020,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[130.0925,320.9151],[402.0,320.9151],[55.0,160.0849]]}
+{"angle_degrees":70.615503,"arc_sweep_degrees":70.615503,"canvas_size":[483,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1021","image_path":"images/angle_estimation_1021.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1021_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1021_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1021_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"109","question_id":"angle_estimation_1021_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1021_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[126.2504,327.5867],[146.4623,179.5318]],"scene_type":"single","seed":1021,"vertex":[241.5,253.0]}
+{"angle_degrees":326.238864,"arc_sweep_degrees":326.238864,"canvas_size":[458,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1022","image_path":"images/angle_estimation_1022.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1022_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_1022_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1022_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"146","question_id":"angle_estimation_1022_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1022_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[91.4469,210.7065],[82.4559,297.1026]],"scene_type":"single","seed":1022,"vertex":[229.0,250.0]}
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+{"angle_degrees":298.958809,"arc_sweep_degrees":298.958809,"canvas_size":[451,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1024","image_path":"images/angle_estimation_1024.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1024_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_1024_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1024_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"119","question_id":"angle_estimation_1024_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1024_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[85.4282,234.4997],[135.6559,375.2959]],"scene_type":"single","seed":1024,"vertex":[225.5,252.0]}
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+{"angle_degrees":143.810264,"arc_sweep_degrees":143.810264,"canvas_size":[479,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1028","image_path":"images/angle_estimation_1028.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1028_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1028_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1028_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"36","question_id":"angle_estimation_1028_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1028_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[364.4562,161.8164],[204.767,371.0142]],"scene_type":"single","seed":1028,"vertex":[239.5,256.0]}
+{"angle_1_degrees":68.587414,"angle_2_degrees":18.444334,"angles":[{"angle_degrees":68.587414,"arc_sweep_degrees":68.587414,"ray_endpoints":[[217.113,312.5507],[117.8796,389.1111]],"vertex":[131.76,267.33]},{"angle_degrees":18.444334,"arc_sweep_degrees":18.444334,"ray_endpoints":[[331.0864,178.0971],[361.2979,160.1521]],"vertex":[356.24,267.33]}],"canvas_size":[488,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1029","image_path":"images/angle_estimation_1029.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1029_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1029_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1029_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1029_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1029_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1029}
+{"angle_1_degrees":133.092099,"angle_2_degrees":35.110793,"angles":[{"angle_degrees":133.092099,"arc_sweep_degrees":133.092099,"ray_endpoints":[[18.6449,303.9632],[184.6174,143.5754]],"vertex":[122.31,271.89]},{"angle_degrees":35.110793,"arc_sweep_degrees":35.110793,"ray_endpoints":[[429.8013,318.9759],[400.9222,396.1378]],"vertex":[330.69,271.89]}],"canvas_size":[453,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1030","image_path":"images/angle_estimation_1030.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1030_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1030_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1030_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1030_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1030_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1030}
+{"angle_1_degrees":98.15652,"angle_2_degrees":165.004478,"angles":[{"angle_degrees":98.15652,"arc_sweep_degrees":98.15652,"ray_endpoints":[[57.3228,354.9759],[61.7325,183.815]],"vertex":[133.38,277.02]},{"angle_degrees":165.004478,"arc_sweep_degrees":165.004478,"ray_endpoints":[[384.6108,171.6689],[365.0074,392.9809]],"vertex":[360.62,277.02]}],"canvas_size":[494,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1031","image_path":"images/angle_estimation_1031.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1031_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1031_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1031_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1031_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1031_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1031}
+{"angle_1_degrees":70.84,"angle_2_degrees":30.780708,"angles":[{"angle_degrees":70.84,"arc_sweep_degrees":70.84,"ray_endpoints":[[216.4785,294.5456],[152.3034,421.5069]],"vertex":[127.98,279.87]},{"angle_degrees":30.780708,"arc_sweep_degrees":30.780708,"ray_endpoints":[[389.3729,178.8771],[449.4682,204.7462]],"vertex":[346.02,279.87]}],"canvas_size":[474,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1032","image_path":"images/angle_estimation_1032.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1032_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1032_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1032_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1032_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1032_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1032}
+{"angle_1_degrees":11.48048,"angle_2_degrees":158.243521,"angles":[{"angle_degrees":11.48048,"arc_sweep_degrees":11.48048,"ray_endpoints":[[199.9708,309.068],[229.3967,361.7637]],"vertex":[132.57,263.91]},{"angle_degrees":158.243521,"arc_sweep_degrees":158.243521,"ray_endpoints":[[397.018,335.4482],[265.7401,186.4067]],"vertex":[358.43,263.91]}],"canvas_size":[491,463],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1033","image_path":"images/angle_estimation_1033.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1033_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1033_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"150","question_id":"angle_estimation_1033_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1033_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1033_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1033}
+{"angle_1_degrees":22.079755,"angle_2_degrees":131.332474,"angles":[{"angle_degrees":22.079755,"arc_sweep_degrees":22.079755,"ray_endpoints":[[53.6609,359.3979],[20.6458,331.932]],"vertex":[122.04,279.3]},{"angle_degrees":131.332474,"arc_sweep_degrees":131.332474,"ray_endpoints":[[260.9018,248.3197],[427.6557,234.7652]],"vertex":[329.96,279.3]}],"canvas_size":[452,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1034","image_path":"images/angle_estimation_1034.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1034_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1034_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_1034_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1034_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1034_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1034}
+{"angle_1_degrees":36.410855,"angle_2_degrees":54.45404,"angles":[{"angle_degrees":36.410855,"arc_sweep_degrees":36.410855,"ray_endpoints":[[206.3417,319.3971],[178.8806,376.0793]],"vertex":[134.46,279.87]},{"angle_degrees":54.45404,"arc_sweep_degrees":54.45404,"ray_endpoints":[[415.3648,209.9572],[477.8107,281.8701]],"vertex":[363.54,279.87]}],"canvas_size":[498,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1035","image_path":"images/angle_estimation_1035.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1035_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1035_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1035_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1035_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1035_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1035}
+{"canvas_size":[476,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1036","image_path":"images/angle_estimation_1036.png","interior_angles_degrees":[70.606712,49.295923,60.097364],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1036_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1036_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1036_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1036_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1036_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1036,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,412.9548],[421.0,412.9548],[161.2794,111.0452]]}
+{"canvas_size":[455,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1037","image_path":"images/angle_estimation_1037.png","interior_angles_degrees":[63.858119,30.489518,85.652363],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1037_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1037_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1037_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1037_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1037_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1037,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,332.7968],[400.0,332.7968],[132.3472,175.2032]]}
+{"canvas_size":[457,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1038","image_path":"images/angle_estimation_1038.png","interior_angles_degrees":[46.104269,64.181019,69.714712],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1038_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1038_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1038_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1038_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1038_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1038,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,361.9857],[402.0,361.9857],[285.8952,122.0143]]}
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+{"canvas_size":[469,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1040","image_path":"images/angle_estimation_1040.png","interior_angles_degrees":[49.753306,46.847635,83.399059],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1040_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1040_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1040_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1040_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1040_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1040,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,346.1187],[414.0,346.1187],[225.3401,144.8813]]}
+{"angle_degrees":164.07222,"arc_sweep_degrees":164.07222,"canvas_size":[478,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1041","image_path":"images/angle_estimation_1041.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1041_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1041_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1041_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"16","question_id":"angle_estimation_1041_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1041_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[272.5744,362.8788],[160.0439,112.9054]],"scene_type":"single","seed":1041,"vertex":[239.0,242.0]}
+{"angle_degrees":130.754918,"arc_sweep_degrees":130.754918,"canvas_size":[465,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1042","image_path":"images/angle_estimation_1042.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1042_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1042_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1042_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"49","question_id":"angle_estimation_1042_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1042_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[61.1323,253.0407],[327.4188,115.09]],"scene_type":"single","seed":1042,"vertex":[232.5,241.5]}
+{"angle_degrees":119.661802,"arc_sweep_degrees":119.661802,"canvas_size":[487,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1043","image_path":"images/angle_estimation_1043.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1043_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_1043_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1043_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"60","question_id":"angle_estimation_1043_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1043_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[375.4074,285.6529],[159.2387,331.6157]],"scene_type":"single","seed":1043,"vertex":[243.5,248.5]}
+{"angle_degrees":162.4215,"arc_sweep_degrees":162.4215,"canvas_size":[464,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1044","image_path":"images/angle_estimation_1044.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1044_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1044_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1044_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"18","question_id":"angle_estimation_1044_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1044_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[105.5635,146.1692],[374.31,303.3961]],"scene_type":"single","seed":1044,"vertex":[232.0,248.0]}
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+{"angle_degrees":137.525546,"arc_sweep_degrees":137.525546,"canvas_size":[455,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1047","image_path":"images/angle_estimation_1047.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1047_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1047_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1047_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"42","question_id":"angle_estimation_1047_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1047_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[130.3764,356.8838],[223.9814,111.8734]],"scene_type":"single","seed":1047,"vertex":[227.5,245.0]}
+{"angle_degrees":64.418643,"arc_sweep_degrees":64.418643,"canvas_size":[467,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1048","image_path":"images/angle_estimation_1048.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1048_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1048_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1048_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"116","question_id":"angle_estimation_1048_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1048_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[182.2514,411.5555],[90.5674,266.6827]],"scene_type":"single","seed":1048,"vertex":[233.5,245.5]}
+{"angle_1_degrees":103.689566,"angle_2_degrees":82.352779,"angles":[{"angle_degrees":103.689566,"arc_sweep_degrees":103.689566,"ray_endpoints":[[77.2289,376.097],[50.6987,200.9056]],"vertex":[133.11,280.44]},{"angle_degrees":82.352779,"arc_sweep_degrees":82.352779,"ray_endpoints":[[451.9792,310.9449],[336.136,406.3903]],"vertex":[359.89,280.44]}],"canvas_size":[493,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1049","image_path":"images/angle_estimation_1049.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1049_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1049_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1049_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1049_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1049_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1049}
+{"angle_1_degrees":77.001406,"angle_2_degrees":157.052108,"angles":[{"angle_degrees":77.001406,"arc_sweep_degrees":77.001406,"ray_endpoints":[[27.4034,334.3926],[53.8659,198.2498]],"vertex":[126.9,278.73]},{"angle_degrees":157.052108,"arc_sweep_degrees":157.052108,"ray_endpoints":[[290.4242,333.8869],[386.3704,164.4236]],"vertex":[343.1,278.73]}],"canvas_size":[470,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1050","image_path":"images/angle_estimation_1050.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1050_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1050_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1050_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1050_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1050_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1050}
+{"angle_1_degrees":54.933203,"angle_2_degrees":29.92583,"angles":[{"angle_degrees":54.933203,"arc_sweep_degrees":54.933203,"ray_endpoints":[[43.0847,301.4027],[26.2099,198.937]],"vertex":[122.31,281.01]},{"angle_degrees":29.92583,"arc_sweep_degrees":29.92583,"ray_endpoints":[[327.2739,383.9047],[254.2752,404.1232]],"vertex":[330.69,281.01]}],"canvas_size":[453,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1051","image_path":"images/angle_estimation_1051.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1051_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1051_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1051_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1051_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1051_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1051}
+{"angle_1_degrees":118.416102,"angle_2_degrees":55.765345,"angles":[{"angle_degrees":118.416102,"arc_sweep_degrees":118.416102,"ray_endpoints":[[92.2819,376.2833],[48.0717,199.393]],"vertex":[123.93,279.3]},{"angle_degrees":55.765345,"arc_sweep_degrees":55.765345,"ray_endpoints":[[429.7777,337.5951],[341.3324,416.0889]],"vertex":[335.07,279.3]}],"canvas_size":[459,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1052","image_path":"images/angle_estimation_1052.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1052_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1052_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1052_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1052_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1052_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1052}
+{"angle_1_degrees":65.882658,"angle_2_degrees":76.999646,"angles":[{"angle_degrees":65.882658,"arc_sweep_degrees":65.882658,"ray_endpoints":[[194.3472,333.6016],[92.0333,368.8277]],"vertex":[134.46,269.04]},{"angle_degrees":76.999646,"arc_sweep_degrees":76.999646,"ray_endpoints":[[442.0522,322.4243],[322.6347,374.4273]],"vertex":[363.54,269.04]}],"canvas_size":[498,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1053","image_path":"images/angle_estimation_1053.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1053_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1053_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1053_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1053_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1053_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1053}
+{"angle_1_degrees":13.138409,"angle_2_degrees":88.548488,"angles":[{"angle_degrees":13.138409,"arc_sweep_degrees":13.138409,"ray_endpoints":[[85.5425,169.0966],[108.9643,148.1909]],"vertex":[123.39,275.31]},{"angle_degrees":88.548488,"arc_sweep_degrees":88.548488,"ray_endpoints":[[432.8706,217.2628],[405.405,391.237]],"vertex":[333.61,275.31]}],"canvas_size":[457,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1054","image_path":"images/angle_estimation_1054.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1054_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1054_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1054_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1054_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1054_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1054}
+{"angle_1_degrees":39.997146,"angle_2_degrees":133.435933,"angles":[{"angle_degrees":39.997146,"arc_sweep_degrees":39.997146,"ray_endpoints":[[203.4713,259.5025],[214.5712,336.0696]],"vertex":[122.85,259.92]},{"angle_degrees":133.435933,"arc_sweep_degrees":133.435933,"ray_endpoints":[[263.7445,323.1983],[333.7199,124.7985]],"vertex":[332.15,259.92]}],"canvas_size":[455,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1055","image_path":"images/angle_estimation_1055.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1055_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1055_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1055_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1055_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1055_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1055}
+{"canvas_size":[457,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1056","image_path":"images/angle_estimation_1056.png","interior_angles_degrees":[90.644054,43.469324,45.886622],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1056_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1056_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1056_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1056_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1056_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1056,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[58.6977,409.9689],[402.0,409.9689],[55.0,81.0311]]}
+{"canvas_size":[485,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1057","image_path":"images/angle_estimation_1057.png","interior_angles_degrees":[89.687378,39.178188,51.134434],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1057_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1057_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1057_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1057_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1057_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1057,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,409.626],[430.0,409.626],[56.6601,105.374]]}
+{"canvas_size":[469,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1058","image_path":"images/angle_estimation_1058.png","interior_angles_degrees":[90.798869,46.999008,42.202124],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1058_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1058_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1058_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1058_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1058_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1058,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[60.3679,450.4835],[414.0,450.4835],[55.0,65.5165]]}
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+{"angle_1_degrees":40.893988,"angle_2_degrees":55.594745,"angles":[{"angle_degrees":40.893988,"arc_sweep_degrees":40.893988,"ray_endpoints":[[138.9203,393.6154],[56.4948,384.1021]],"vertex":[127.44,282.72]},{"angle_degrees":55.594745,"arc_sweep_degrees":55.594745,"ray_endpoints":[[415.5022,334.1044],[341.3794,403.292]],"vertex":[344.56,282.72]}],"canvas_size":[472,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1070","image_path":"images/angle_estimation_1070.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1070_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1070_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1070_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1070_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1070_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1070}
+{"angle_1_degrees":36.842714,"angle_2_degrees":131.114728,"angles":[{"angle_degrees":36.842714,"arc_sweep_degrees":36.842714,"ray_endpoints":[[67.4586,333.2079],[14.8514,292.7327]],"vertex":[123.39,274.17]},{"angle_degrees":131.114728,"arc_sweep_degrees":131.114728,"ray_endpoints":[[424.6472,212.5799],[320.0409,384.1278]],"vertex":[333.61,274.17]}],"canvas_size":[457,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1071","image_path":"images/angle_estimation_1071.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1071_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1071_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1071_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1071_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1071_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1071}
+{"angle_1_degrees":13.59347,"angle_2_degrees":112.658476,"angles":[{"angle_degrees":13.59347,"arc_sweep_degrees":13.59347,"ray_endpoints":[[93.6019,192.4285],[103.1258,137.708]],"vertex":[129.87,270.18]},{"angle_degrees":112.658476,"arc_sweep_degrees":112.658476,"ray_endpoints":[[309.1384,365.3782],[265.2319,179.7869]],"vertex":[351.13,270.18]}],"canvas_size":[481,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1072","image_path":"images/angle_estimation_1072.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1072_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1072_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1072_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1072_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1072_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1072}
+{"angle_1_degrees":16.530773,"angle_2_degrees":62.914591,"angles":[{"angle_degrees":16.530773,"arc_sweep_degrees":16.530773,"ray_endpoints":[[210.4991,346.9449],[197.6968,381.0246]],"vertex":[126.9,281.58]},{"angle_degrees":62.914591,"arc_sweep_degrees":62.914591,"ray_endpoints":[[330.9655,195.1286],[449.2685,207.0317]],"vertex":[343.1,281.58]}],"canvas_size":[470,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1073","image_path":"images/angle_estimation_1073.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1073_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1073_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1073_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1073_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1073_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1073}
+{"angle_1_degrees":106.914086,"angle_2_degrees":84.901953,"angles":[{"angle_degrees":106.914086,"arc_sweep_degrees":106.914086,"ray_endpoints":[[52.8957,341.028],[80.5392,158.2961]],"vertex":[132.3,270.18]},{"angle_degrees":84.901953,"arc_sweep_degrees":84.901953,"ray_endpoints":[[283.5368,303.9596],[297.8376,164.744]],"vertex":[357.7,270.18]}],"canvas_size":[490,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1074","image_path":"images/angle_estimation_1074.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1074_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1074_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1074_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1074_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1074_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1074}
+{"angle_1_degrees":92.30965,"angle_2_degrees":122.897869,"angles":[{"angle_degrees":92.30965,"arc_sweep_degrees":92.30965,"ray_endpoints":[[193.5095,183.6807],[214.0588,338.5509]],"vertex":[128.79,257.64]},{"angle_degrees":122.897869,"arc_sweep_degrees":122.897869,"ray_endpoints":[[441.9621,199.2322],[346.3878,364.7269]],"vertex":[348.21,257.64]}],"canvas_size":[477,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1075","image_path":"images/angle_estimation_1075.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1075_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1075_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1075_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1075_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1075_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1075}
+{"canvas_size":[472,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1076","image_path":"images/angle_estimation_1076.png","interior_angles_degrees":[124.564449,32.746504,22.689046],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1076_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1076_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1076_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1076_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1076_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1076,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[215.3952,360.9075],[417.0,360.9075],[55.0,128.0925]]}
+{"canvas_size":[493,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1077","image_path":"images/angle_estimation_1077.png","interior_angles_degrees":[112.491514,38.189921,29.318565],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1077_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1077_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1077_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1077_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1077_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1077,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[179.7429,392.1411],[438.0,392.1411],[55.0,90.8589]]}
+{"canvas_size":[456,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1078","image_path":"images/angle_estimation_1078.png","interior_angles_degrees":[129.450069,18.013597,32.536334],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1078_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1078_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1078_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1078_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1078_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1078,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[147.584,300.2565],[401.0,300.2565],[55.0,187.7435]]}
+{"canvas_size":[484,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1079","image_path":"images/angle_estimation_1079.png","interior_angles_degrees":[135.952545,16.978608,27.068847],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1079_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1079_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1079_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1079_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1079_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1079,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[173.052,320.5953],[429.0,320.5953],[55.0,206.4047]]}
+{"canvas_size":[500,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1080","image_path":"images/angle_estimation_1080.png","interior_angles_degrees":[134.933684,16.621821,28.444495],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1080_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1080_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1080_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1080_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1080_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1080,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[171.1566,313.7129],[445.0,313.7129],[55.0,197.2871]]}
+{"angle_degrees":332.239308,"arc_sweep_degrees":332.239308,"canvas_size":[480,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1081","image_path":"images/angle_estimation_1081.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1081_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_1081_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1081_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"152","question_id":"angle_estimation_1081_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1081_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[85.132,258.4011],[121.8087,320.7996]],"scene_type":"single","seed":1081,"vertex":[240.0,246.5]}
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+{"angle_degrees":172.441349,"arc_sweep_degrees":172.441349,"canvas_size":[463,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1083","image_path":"images/angle_estimation_1083.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1083_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1083_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1083_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"8","question_id":"angle_estimation_1083_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1083_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[273.1969,404.292],[186.7148,136.8899]],"scene_type":"single","seed":1083,"vertex":[231.5,246.0]}
+{"angle_degrees":261.496316,"arc_sweep_degrees":261.496316,"canvas_size":[491,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1084","image_path":"images/angle_estimation_1084.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1084_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_1084_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1084_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"81","question_id":"angle_estimation_1084_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1084_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[374.727,170.1894],[155.1157,114.467]],"scene_type":"single","seed":1084,"vertex":[245.5,238.0]}
+{"angle_degrees":179.999996,"arc_sweep_degrees":179.999996,"canvas_size":[491,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1085","image_path":"images/angle_estimation_1085.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1085_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_1085_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1085_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_1085_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1085_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[112.3085,153.7302],[366.6409,352.8359]],"scene_type":"single","seed":1085,"vertex":[245.5,258.0]}
+{"angle_degrees":139.684932,"arc_sweep_degrees":139.684932,"canvas_size":[487,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1086","image_path":"images/angle_estimation_1086.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1086_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1086_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1086_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"40","question_id":"angle_estimation_1086_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1086_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[316.9613,406.2871],[120.3052,204.8645]],"scene_type":"single","seed":1086,"vertex":[243.5,258.0]}
+{"angle_degrees":302.165825,"arc_sweep_degrees":302.165825,"canvas_size":[462,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1087","image_path":"images/angle_estimation_1087.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1087_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_1087_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1087_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"122","question_id":"angle_estimation_1087_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1087_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[112.516,375.7782],[255.8765,382.4047]],"scene_type":"single","seed":1087,"vertex":[231.0,262.0]}
+{"angle_degrees":124.392828,"arc_sweep_degrees":124.392828,"canvas_size":[484,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1088","image_path":"images/angle_estimation_1088.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1088_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_1088_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1088_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"56","question_id":"angle_estimation_1088_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1088_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[239.0568,431.9076],[149.5137,192.3647]],"scene_type":"single","seed":1088,"vertex":[242.0,258.0]}
+{"angle_1_degrees":71.362808,"angle_2_degrees":27.929925,"angles":[{"angle_degrees":71.362808,"arc_sweep_degrees":71.362808,"ray_endpoints":[[130.4561,375.4234],[27.3911,310.485]],"vertex":[126.9,273.03]},{"angle_degrees":27.929925,"arc_sweep_degrees":27.929925,"ray_endpoints":[[375.3005,345.6079],[335.5967,380.2088]],"vertex":[343.1,273.03]}],"canvas_size":[470,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1089","image_path":"images/angle_estimation_1089.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1089_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1089_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1089_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1089_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1089_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1089}
+{"angle_1_degrees":72.798592,"angle_2_degrees":119.25449,"angles":[{"angle_degrees":72.798592,"arc_sweep_degrees":72.798592,"ray_endpoints":[[222.6058,324.1],[90.8718,390.2738]],"vertex":[129.06,261.63]},{"angle_degrees":119.25449,"arc_sweep_degrees":119.25449,"ray_endpoints":[[321.7193,332.8608],[272.845,170.3992]],"vertex":[348.94,261.63]}],"canvas_size":[478,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1090","image_path":"images/angle_estimation_1090.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1090_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1090_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1090_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1090_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1090_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1090}
+{"angle_1_degrees":144.641431,"angle_2_degrees":15.658624,"angles":[{"angle_degrees":144.641431,"arc_sweep_degrees":144.641431,"ray_endpoints":[[74.3314,352.2647],[135.1197,147.0942]],"vertex":[127.71,285.0]},{"angle_degrees":15.658624,"arc_sweep_degrees":15.658624,"ray_endpoints":[[381.1054,377.6957],[357.9438,417.2198]],"vertex":[345.29,285.0]}],"canvas_size":[473,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1091","image_path":"images/angle_estimation_1091.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1091_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1091_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_1091_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1091_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1091_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1091}
+{"angle_1_degrees":44.70716,"angle_2_degrees":36.286335,"angles":[{"angle_degrees":44.70716,"arc_sweep_degrees":44.70716,"ray_endpoints":[[60.7135,199.3642],[134.5346,161.2708]],"vertex":[131.76,274.74]},{"angle_degrees":36.286335,"arc_sweep_degrees":36.286335,"ray_endpoints":[[298.0539,194.1624],[357.285,142.515]],"vertex":[356.24,274.74]}],"canvas_size":[488,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1092","image_path":"images/angle_estimation_1092.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1092_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1092_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1092_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1092_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1092_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1092}
+{"angle_1_degrees":32.500893,"angle_2_degrees":138.248119,"angles":[{"angle_degrees":32.500893,"arc_sweep_degrees":32.500893,"ray_endpoints":[[38.8084,272.6695],[32.8917,208.0283]],"vertex":[127.17,280.44]},{"angle_degrees":138.248119,"arc_sweep_degrees":138.248119,"ray_endpoints":[[324.9395,184.1908],[453.1519,363.2516]],"vertex":[343.83,280.44]}],"canvas_size":[471,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1093","image_path":"images/angle_estimation_1093.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1093_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1093_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_1093_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1093_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1093_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1093}
+{"angle_1_degrees":96.474494,"angle_2_degrees":116.24795,"angles":[{"angle_degrees":96.474494,"arc_sweep_degrees":96.474494,"ray_endpoints":[[53.324,277.241],[148.9089,156.7362]],"vertex":[130.68,279.87]},{"angle_degrees":116.24795,"arc_sweep_degrees":116.24795,"ray_endpoints":[[312.9746,343.8767],[278.0246,157.1316]],"vertex":[353.32,279.87]}],"canvas_size":[484,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1094","image_path":"images/angle_estimation_1094.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1094_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1094_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1094_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1094_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1094_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1094}
+{"angle_1_degrees":51.109775,"angle_2_degrees":34.943739,"angles":[{"angle_degrees":51.109775,"arc_sweep_degrees":51.109775,"ray_endpoints":[[120.5828,179.7134],[206.5186,190.7761]],"vertex":[125.01,263.91]},{"angle_degrees":34.943739,"arc_sweep_degrees":34.943739,"ray_endpoints":[[279.9641,177.8927],[339.846,150.8833]],"vertex":[337.99,263.91]}],"canvas_size":[463,463],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1095","image_path":"images/angle_estimation_1095.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1095_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1095_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1095_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1095_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1095_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1095}
+{"canvas_size":[490,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1096","image_path":"images/angle_estimation_1096.png","interior_angles_degrees":[50.912462,64.762756,64.324782],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1096_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1096_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_1096_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1096_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1096_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1096,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,401.5125],[435.0,401.5125],[295.4661,105.4875]]}
+{"canvas_size":[483,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1097","image_path":"images/angle_estimation_1097.png","interior_angles_degrees":[70.809476,62.641063,46.549461],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1097_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1097_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1097_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1097_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1097_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1097,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[87.4422,421.0],[395.5578,421.0],[211.3485,65.0]]}
+{"canvas_size":[461,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1098","image_path":"images/angle_estimation_1098.png","interior_angles_degrees":[52.020206,70.908622,57.071172],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1098_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1098_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_1098_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1098_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1098_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1098,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,403.7466],[406.0,403.7466],[298.1883,92.2534]]}
+{"canvas_size":[475,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1099","image_path":"images/angle_estimation_1099.png","interior_angles_degrees":[67.556921,60.876527,51.566553],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1099_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1099_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1099_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1099_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1099_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1099,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[60.4422,430.0],[414.5578,430.0],[211.2055,65.0]]}
+{"canvas_size":[451,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1100","image_path":"images/angle_estimation_1100.png","interior_angles_degrees":[68.779974,48.382395,62.837631],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1100_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1100_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1100_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1100_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1100_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1100,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,396.0508],[396.0,396.0508],[158.7093,128.9492]]}
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+{"angle_degrees":54.841609,"arc_sweep_degrees":54.841609,"canvas_size":[496,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1102","image_path":"images/angle_estimation_1102.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1102_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1102_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1102_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"125","question_id":"angle_estimation_1102_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1102_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[270.7191,90.6553],[389.132,176.6893]],"scene_type":"single","seed":1102,"vertex":[248.0,248.5]}
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+{"angle_1_degrees":68.261138,"angle_2_degrees":23.374315,"angles":[{"angle_degrees":68.261138,"arc_sweep_degrees":68.261138,"ray_endpoints":[[74.9239,344.2567],[14.2278,243.7703]],"vertex":[125.01,263.34]},{"angle_degrees":23.374315,"arc_sweep_degrees":23.374315,"ray_endpoints":[[268.7522,187.9937],[297.6752,147.6136]],"vertex":[337.99,263.34]}],"canvas_size":[463,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1111","image_path":"images/angle_estimation_1111.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1111_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1111_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1111_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1111_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1111_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1111}
+{"angle_1_degrees":50.707625,"angle_2_degrees":130.209566,"angles":[{"angle_degrees":50.707625,"arc_sweep_degrees":50.707625,"ray_endpoints":[[115.1073,183.3526],[219.1251,156.555]],"vertex":[126.36,258.78]},{"angle_degrees":130.209566,"arc_sweep_degrees":130.209566,"ray_endpoints":[[383.9414,170.88],[399.2092,387.5288]],"vertex":[341.64,258.78]}],"canvas_size":[468,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1112","image_path":"images/angle_estimation_1112.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1112_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1112_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1112_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1112_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1112_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1112}
+{"angle_1_degrees":28.523491,"angle_2_degrees":12.817055,"angles":[{"angle_degrees":28.523491,"arc_sweep_degrees":28.523491,"ray_endpoints":[[18.2249,212.8403],[54.5714,171.6256]],"vertex":[121.77,258.21]},{"angle_degrees":12.817055,"arc_sweep_degrees":12.817055,"ray_endpoints":[[396.4031,296.7132],[423.0397,344.5877]],"vertex":[329.23,258.21]}],"canvas_size":[451,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1113","image_path":"images/angle_estimation_1113.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1113_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1113_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1113_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1113_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1113_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1113}
+{"angle_1_degrees":66.547424,"angle_2_degrees":21.387515,"angles":[{"angle_degrees":66.547424,"arc_sweep_degrees":66.547424,"ray_endpoints":[[202.6054,293.6241],[135.9133,405.5859]],"vertex":[130.41,265.62]},{"angle_degrees":21.387515,"arc_sweep_degrees":21.387515,"ray_endpoints":[[419.6604,187.4984],[468.9794,203.8255]],"vertex":[352.59,265.62]}],"canvas_size":[483,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1114","image_path":"images/angle_estimation_1114.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1114_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1114_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1114_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1114_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1114_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1114}
+{"angle_1_degrees":115.812859,"angle_2_degrees":54.100716,"angles":[{"angle_degrees":115.812859,"arc_sweep_degrees":115.812859,"ray_endpoints":[[51.4623,254.5272],[203.6884,160.9854]],"vertex":[126.09,267.9]},{"angle_degrees":54.100716,"arc_sweep_degrees":54.100716,"ray_endpoints":[[439.8089,267.3969],[423.695,381.0497]],"vertex":[340.91,267.9]}],"canvas_size":[467,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1115","image_path":"images/angle_estimation_1115.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1115_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1115_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1115_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1115_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1115_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1115}
+{"canvas_size":[486,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1116","image_path":"images/angle_estimation_1116.png","interior_angles_degrees":[90.053015,33.134664,56.81232],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1116_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1116_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1116_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1116_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1116_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1116,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.2271,376.2178],[431.0,376.2178],[55.0,130.7822]]}
+{"canvas_size":[479,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1117","image_path":"images/angle_estimation_1117.png","interior_angles_degrees":[89.561949,51.806534,38.631516],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1117_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1117_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1117_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1117_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1117_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1117,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[86.9784,449.0],[392.0216,449.0],[89.9143,65.0]]}
+{"canvas_size":[464,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1118","image_path":"images/angle_estimation_1118.png","interior_angles_degrees":[90.147908,37.864501,51.987591],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1118_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1118_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1118_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1118_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1118_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1118,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.7105,400.1147],[409.0,400.1147],[55.0,124.8853]]}
+{"canvas_size":[453,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1119","image_path":"images/angle_estimation_1119.png","interior_angles_degrees":[90.798802,43.786999,45.414199],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1119_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1119_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1119_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1119_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1119_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1119,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[59.584,421.8879],[398.0,421.8879],[55.0,93.1121]]}
+{"canvas_size":[488,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1120","image_path":"images/angle_estimation_1120.png","interior_angles_degrees":[88.961482,38.884205,52.154313],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1120_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1120_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1120_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1120_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1120_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1120,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,412.7217],[433.0,412.7217],[60.4463,112.2783]]}
+{"angle_degrees":215.836384,"arc_sweep_degrees":215.836384,"canvas_size":[489,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1121","image_path":"images/angle_estimation_1121.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1121_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_1121_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1121_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"36","question_id":"angle_estimation_1121_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1121_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[179.4399,146.6443],[231.9394,399.9169]],"scene_type":"single","seed":1121,"vertex":[244.5,255.5]}
+{"angle_degrees":23.071203,"arc_sweep_degrees":23.071203,"canvas_size":[479,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1122","image_path":"images/angle_estimation_1122.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1122_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_1122_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1122_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"157","question_id":"angle_estimation_1122_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1122_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[112.6152,163.5046],[175.9044,149.4773]],"scene_type":"single","seed":1122,"vertex":[239.5,256.0]}
+{"angle_degrees":200.15108,"arc_sweep_degrees":200.15108,"canvas_size":[467,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1123","image_path":"images/angle_estimation_1123.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1123_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_1123_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1123_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"20","question_id":"angle_estimation_1123_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1123_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[397.9156,294.4619],[111.8487,156.7662]],"scene_type":"single","seed":1123,"vertex":[233.5,246.5]}
+{"angle_degrees":189.532802,"arc_sweep_degrees":189.532802,"canvas_size":[452,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1124","image_path":"images/angle_estimation_1124.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1124_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_1124_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1124_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"10","question_id":"angle_estimation_1124_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1124_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[173.505,81.5107],[243.754,374.8475]],"scene_type":"single","seed":1124,"vertex":[226.0,248.0]}
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+{"angle_degrees":96.93333,"arc_sweep_degrees":96.93333,"canvas_size":[481,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1127","image_path":"images/angle_estimation_1127.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1127_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_1127_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1127_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"83","question_id":"angle_estimation_1127_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1127_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[122.7584,186.9137],[308.6089,131.6785]],"scene_type":"single","seed":1127,"vertex":[240.5,241.5]}
+{"angle_degrees":53.629176,"arc_sweep_degrees":53.629176,"canvas_size":[454,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1128","image_path":"images/angle_estimation_1128.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1128_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1128_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1128_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"126","question_id":"angle_estimation_1128_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1128_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[324.1582,341.0849],[213.1891,392.7826]],"scene_type":"single","seed":1128,"vertex":[227.0,253.5]}
+{"angle_1_degrees":142.271501,"angle_2_degrees":122.779344,"angles":[{"angle_degrees":142.271501,"arc_sweep_degrees":142.271501,"ray_endpoints":[[56.1117,308.2837],[197.7874,157.0157]],"vertex":[133.92,274.17]},{"angle_degrees":122.779344,"arc_sweep_degrees":122.779344,"ray_endpoints":[[436.1201,243.6322],[338.6792,402.1026]],"vertex":[362.08,274.17]}],"canvas_size":[496,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1129","image_path":"images/angle_estimation_1129.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1129_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1129_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1129_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1129_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1129_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1129}
+{"angle_1_degrees":61.188678,"angle_2_degrees":39.283855,"angles":[{"angle_degrees":61.188678,"arc_sweep_degrees":61.188678,"ray_endpoints":[[156.151,351.1401],[30.7573,373.6657]],"vertex":[130.68,269.61]},{"angle_degrees":39.283855,"arc_sweep_degrees":39.283855,"ray_endpoints":[[409.0181,355.95],[340.2402,385.1681]],"vertex":[353.32,269.61]}],"canvas_size":[484,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1130","image_path":"images/angle_estimation_1130.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1130_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1130_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1130_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1130_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1130_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1130}
+{"angle_1_degrees":43.107933,"angle_2_degrees":140.226927,"angles":[{"angle_degrees":43.107933,"arc_sweep_degrees":43.107933,"ray_endpoints":[[137.3278,361.3762],[56.6891,377.1457]],"vertex":[121.5,275.88]},{"angle_degrees":140.226927,"arc_sweep_degrees":140.226927,"ray_endpoints":[[383.1622,185.0753],[346.8552,395.4665]],"vertex":[328.5,275.88]}],"canvas_size":[450,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1131","image_path":"images/angle_estimation_1131.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1131_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1131_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1131_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1131_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1131_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1131}
+{"angle_1_degrees":26.193848,"angle_2_degrees":103.706994,"angles":[{"angle_degrees":26.193848,"arc_sweep_degrees":26.193848,"ray_endpoints":[[79.3966,210.9949],[111.9152,164.6368]],"vertex":[130.68,283.86]},{"angle_degrees":103.706994,"arc_sweep_degrees":103.706994,"ray_endpoints":[[285.9147,249.4681],[424.36,201.3815]],"vertex":[353.32,283.86]}],"canvas_size":[484,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1132","image_path":"images/angle_estimation_1132.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1132_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1132_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1132_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1132_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1132_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1132}
+{"angle_1_degrees":74.437727,"angle_2_degrees":13.629807,"angles":[{"angle_degrees":74.437727,"arc_sweep_degrees":74.437727,"ray_endpoints":[[87.5371,192.8649],[223.6381,184.3616]],"vertex":[128.52,272.46]},{"angle_degrees":13.629807,"arc_sweep_degrees":13.629807,"ray_endpoints":[[418.8033,333.5185],[430.4484,387.4816]],"vertex":[347.48,272.46]}],"canvas_size":[476,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1133","image_path":"images/angle_estimation_1133.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1133_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1133_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1133_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1133_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1133_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1133}
+{"angle_1_degrees":37.089034,"angle_2_degrees":143.013584,"angles":[{"angle_degrees":37.089034,"arc_sweep_degrees":37.089034,"ray_endpoints":[[50.2723,242.2911],[57.6478,151.1232]],"vertex":[122.04,277.02]},{"angle_degrees":143.013584,"arc_sweep_degrees":143.013584,"ray_endpoints":[[338.7169,198.922],[397.3472,391.0167]],"vertex":[329.96,277.02]}],"canvas_size":[452,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1134","image_path":"images/angle_estimation_1134.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1134_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1134_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_1134_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1134_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1134_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1134}
+{"angle_1_degrees":33.495448,"angle_2_degrees":103.222064,"angles":[{"angle_degrees":33.495448,"arc_sweep_degrees":33.495448,"ray_endpoints":[[165.0653,348.2537],[111.404,395.7042]],"vertex":[130.68,273.03]},{"angle_degrees":103.222064,"arc_sweep_degrees":103.222064,"ray_endpoints":[[466.5527,266.5832],[331.3311,398.2015]],"vertex":[353.32,273.03]}],"canvas_size":[484,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1135","image_path":"images/angle_estimation_1135.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1135_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1135_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1135_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1135_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1135_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1135}
+{"canvas_size":[452,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1136","image_path":"images/angle_estimation_1136.png","interior_angles_degrees":[137.192758,19.163296,23.643946],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1136_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1136_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1136_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1136_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1136_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1136,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[183.3153,300.4257],[397.0,300.4257],[55.0,181.5743]]}
+{"canvas_size":[475,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1137","image_path":"images/angle_estimation_1137.png","interior_angles_degrees":[126.711477,22.866605,30.421918],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1137_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1137_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1137_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1137_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1137_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1137,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[169.7849,334.9657],[420.0,334.9657],[55.0,181.0343]]}
+{"canvas_size":[468,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1138","image_path":"images/angle_estimation_1138.png","interior_angles_degrees":[110.678584,24.626457,44.694959],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1138_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1138_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1138_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1138_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1138_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1138,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[116.9401,346.5526],[413.0,346.5526],[55.0,182.4474]]}
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+{"angle_degrees":324.183734,"arc_sweep_degrees":324.183734,"canvas_size":[492,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1143","image_path":"images/angle_estimation_1143.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1143_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_1143_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1143_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"144","question_id":"angle_estimation_1143_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1143_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[241.621,92.836],[175.3819,164.9333]],"scene_type":"single","seed":1143,"vertex":[246.0,257.5]}
+{"angle_degrees":348.802239,"arc_sweep_degrees":348.802239,"canvas_size":[482,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1144","image_path":"images/angle_estimation_1144.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1144_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_1144_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1144_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"169","question_id":"angle_estimation_1144_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1144_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[369.8261,288.0251],[353.5914,260.7137]],"scene_type":"single","seed":1144,"vertex":[241.0,252.0]}
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+{"angle_degrees":244.581225,"arc_sweep_degrees":244.581225,"canvas_size":[478,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1148","image_path":"images/angle_estimation_1148.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1148_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_1148_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1148_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"65","question_id":"angle_estimation_1148_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1148_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[331.4751,344.4101],[287.1618,121.0442]],"scene_type":"single","seed":1148,"vertex":[239.0,248.0]}
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+{"angle_1_degrees":50.38681,"angle_2_degrees":139.291956,"angles":[{"angle_degrees":50.38681,"arc_sweep_degrees":50.38681,"ray_endpoints":[[79.7101,209.7235],[157.0405,145.6768]],"vertex":[123.66,271.32]},{"angle_degrees":139.291956,"arc_sweep_degrees":139.291956,"ray_endpoints":[[318.6245,361.3517],[262.033,150.0553]],"vertex":[334.34,271.32]}],"canvas_size":[458,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1150","image_path":"images/angle_estimation_1150.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1150_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1150_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1150_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1150_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1150_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1150}
+{"angle_1_degrees":161.265702,"angle_2_degrees":50.11044,"angles":[{"angle_degrees":161.265702,"arc_sweep_degrees":161.265702,"ray_endpoints":[[74.2447,175.1632],[215.3727,371.929]],"vertex":[123.66,278.16]},{"angle_degrees":50.11044,"arc_sweep_degrees":50.11044,"ray_endpoints":[[419.596,244.1977],[435.9608,333.0838]],"vertex":[334.34,278.16]}],"canvas_size":[458,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1151","image_path":"images/angle_estimation_1151.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1151_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1151_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_1151_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1151_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1151_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1151}
+{"angle_1_degrees":28.096774,"angle_2_degrees":63.044458,"angles":[{"angle_degrees":28.096774,"arc_sweep_degrees":28.096774,"ray_endpoints":[[147.955,362.0338],[89.9406,412.3728]],"vertex":[131.22,277.02]},{"angle_degrees":63.044458,"arc_sweep_degrees":63.044458,"ray_endpoints":[[364.5017,169.2668],[458.7663,235.4281]],"vertex":[354.78,277.02]}],"canvas_size":[486,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1152","image_path":"images/angle_estimation_1152.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1152_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1152_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1152_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1152_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1152_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1152}
+{"angle_1_degrees":141.55386,"angle_2_degrees":46.782072,"angles":[{"angle_degrees":141.55386,"arc_sweep_degrees":141.55386,"ray_endpoints":[[64.6561,348.414],[118.9321,134.4849]],"vertex":[122.58,271.32]},{"angle_degrees":46.782072,"arc_sweep_degrees":46.782072,"ray_endpoints":[[360.1978,354.2437],[264.8319,398.4573]],"vertex":[331.42,271.32]}],"canvas_size":[454,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1153","image_path":"images/angle_estimation_1153.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1153_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1153_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1153_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1153_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1153_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1153}
+{"angle_1_degrees":75.075722,"angle_2_degrees":147.241859,"angles":[{"angle_degrees":75.075722,"arc_sweep_degrees":75.075722,"ray_endpoints":[[229.4195,241.8212],[186.9719,385.286]],"vertex":[130.68,257.07]},{"angle_degrees":147.241859,"arc_sweep_degrees":147.241859,"ray_endpoints":[[391.5448,164.2461],[377.9203,391.4192]],"vertex":[353.32,257.07]}],"canvas_size":[484,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1154","image_path":"images/angle_estimation_1154.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1154_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1154_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1154_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1154_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1154_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1154}
+{"angle_1_degrees":36.791988,"angle_2_degrees":50.393701,"angles":[{"angle_degrees":36.791988,"arc_sweep_degrees":36.791988,"ray_endpoints":[[148.1825,366.8328],[83.6208,389.7554]],"vertex":[124.74,283.29]},{"angle_degrees":50.393701,"arc_sweep_degrees":50.393701,"ray_endpoints":[[428.5475,337.0219],[356.5562,403.4219]],"vertex":[337.26,283.29]}],"canvas_size":[462,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1155","image_path":"images/angle_estimation_1155.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1155_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1155_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1155_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1155_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1155_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1155}
+{"canvas_size":[488,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1156","image_path":"images/angle_estimation_1156.png","interior_angles_degrees":[54.204315,54.921897,70.873788],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1156_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1156_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1156_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1156_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1156_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1156,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,375.7854],[433.0,375.7854],[246.5053,110.2146]]}
+{"canvas_size":[486,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1157","image_path":"images/angle_estimation_1157.png","interior_angles_degrees":[68.17348,36.868106,74.958413],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1157_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1157_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1157_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1157_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1157_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1157,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,372.9243],[431.0,372.9243],[141.8497,156.0757]]}
+{"canvas_size":[498,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1158","image_path":"images/angle_estimation_1158.png","interior_angles_degrees":[55.649727,60.398639,63.951634],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1158_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1158_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1158_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1158_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1158_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1158,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,404.0077],[443.0,404.0077],[266.877,93.9923]]}
+{"canvas_size":[462,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1159","image_path":"images/angle_estimation_1159.png","interior_angles_degrees":[58.194362,61.915993,59.889645],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1159_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1159_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_1159_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1159_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1159_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1159,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,405.0455],[407.0,405.0455],[244.206,99.9545]]}
+{"canvas_size":[478,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1160","image_path":"images/angle_estimation_1160.png","interior_angles_degrees":[58.312228,66.599775,55.087996],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1160_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1160_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_1160_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1160_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1160_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1160,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,422.2279],[423.0,422.2279],[271.3426,71.7721]]}
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+{"angle_1_degrees":38.152878,"angle_2_degrees":58.099177,"angles":[{"angle_degrees":38.152878,"arc_sweep_degrees":38.152878,"ray_endpoints":[[58.7567,263.4415],[43.0364,183.8798]],"vertex":[133.92,270.75]},{"angle_degrees":58.099177,"arc_sweep_degrees":58.099177,"ray_endpoints":[[443.6757,215.5789],[478.9219,322.8557]],"vertex":[362.08,270.75]}],"canvas_size":[496,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1171","image_path":"images/angle_estimation_1171.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1171_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1171_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1171_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1171_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1171_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1171}
+{"angle_1_degrees":74.19295,"angle_2_degrees":96.150691,"angles":[{"angle_degrees":74.19295,"arc_sweep_degrees":74.19295,"ray_endpoints":[[226.2659,324.3074],[114.4284,414.8821]],"vertex":[130.95,283.86]},{"angle_degrees":96.150691,"arc_sweep_degrees":96.150691,"ray_endpoints":[[432.1174,247.7426],[390.5731,391.9079]],"vertex":[354.05,283.86]}],"canvas_size":[485,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1172","image_path":"images/angle_estimation_1172.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1172_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1172_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1172_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1172_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1172_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1172}
+{"angle_1_degrees":151.845615,"angle_2_degrees":65.28747,"angles":[{"angle_degrees":151.845615,"arc_sweep_degrees":151.845615,"ray_endpoints":[[86.6548,325.0745],[142.9992,118.8395]],"vertex":[128.52,262.77]},{"angle_degrees":65.28747,"arc_sweep_degrees":65.28747,"ray_endpoints":[[391.027,366.5131],[274.7436,342.101]],"vertex":[347.48,262.77]}],"canvas_size":[476,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1173","image_path":"images/angle_estimation_1173.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1173_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1173_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1173_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1173_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1173_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1173}
+{"angle_1_degrees":57.810807,"angle_2_degrees":29.520626,"angles":[{"angle_degrees":57.810807,"arc_sweep_degrees":57.810807,"ray_endpoints":[[46.5806,218.7249],[128.1731,165.4793]],"vertex":[125.28,271.32]},{"angle_degrees":29.520626,"arc_sweep_degrees":29.520626,"ray_endpoints":[[278.9972,203.8716],[314.5705,157.7343]],"vertex":[338.72,271.32]}],"canvas_size":[464,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1174","image_path":"images/angle_estimation_1174.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1174_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1174_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1174_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1174_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1174_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1174}
+{"angle_1_degrees":129.161938,"angle_2_degrees":55.936379,"angles":[{"angle_degrees":129.161938,"arc_sweep_degrees":129.161938,"ray_endpoints":[[93.5604,364.4285],[60.9155,153.9024]],"vertex":[128.79,277.59]},{"angle_degrees":55.936379,"arc_sweep_degrees":55.936379,"ray_endpoints":[[411.0643,221.7082],[463.0205,306.8486]],"vertex":[348.21,277.59]}],"canvas_size":[477,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1175","image_path":"images/angle_estimation_1175.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1175_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1175_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1175_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1175_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1175_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1175}
+{"canvas_size":[500,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1176","image_path":"images/angle_estimation_1176.png","interior_angles_degrees":[90.341208,33.959539,55.699253],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1176_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1176_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1176_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1176_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1176_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1176,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.5642,389.3289],[445.0,389.3289],[55.0,126.6711]]}
+{"canvas_size":[475,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1177","image_path":"images/angle_estimation_1177.png","interior_angles_degrees":[89.990445,46.858356,43.151199],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1177_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1177_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1177_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1177_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1177_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1177,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[65.5028,432.0],[409.4972,432.0],[65.564,65.0]]}
+{"canvas_size":[488,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1178","image_path":"images/angle_estimation_1178.png","interior_angles_degrees":[89.507313,41.802864,48.689823],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1178_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1178_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1178_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1178_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1178_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1178,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,423.2129],[433.0,423.2129],[57.8844,87.7871]]}
+{"canvas_size":[486,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1179","image_path":"images/angle_estimation_1179.png","interior_angles_degrees":[90.440176,53.2018,36.358024],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1179_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1179_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1179_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1179_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1179_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1179,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[114.0481,417.0],[374.6562,417.0],[111.3438,65.0]]}
+{"canvas_size":[474,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1180","image_path":"images/angle_estimation_1180.png","interior_angles_degrees":[89.517336,40.426748,50.055916],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1180_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1180_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1180_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1180_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1180_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1180,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,415.436],[419.0,415.436],[57.5936,107.564]]}
+{"angle_degrees":136.008077,"arc_sweep_degrees":136.008077,"canvas_size":[473,455],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1181","image_path":"images/angle_estimation_1181.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1181_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1181_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1181_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"44","question_id":"angle_estimation_1181_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1181_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[367.5353,276.9764],[125.7122,298.4845]],"scene_type":"single","seed":1181,"vertex":[236.5,239.5]}
+{"angle_degrees":262.441468,"arc_sweep_degrees":262.441468,"canvas_size":[493,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1182","image_path":"images/angle_estimation_1182.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1182_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_1182_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1182_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"82","question_id":"angle_estimation_1182_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1182_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[354.6707,121.9606],[112.763,154.7081]],"scene_type":"single","seed":1182,"vertex":[246.5,244.5]}
+{"angle_degrees":26.296291,"arc_sweep_degrees":26.296291,"canvas_size":[473,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1183","image_path":"images/angle_estimation_1183.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1183_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_1183_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1183_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"154","question_id":"angle_estimation_1183_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1183_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[359.7355,150.4085],[363.6483,225.2877]],"scene_type":"single","seed":1183,"vertex":[236.5,260.5]}
+{"angle_degrees":96.204573,"arc_sweep_degrees":96.204573,"canvas_size":[482,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1184","image_path":"images/angle_estimation_1184.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1184_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_1184_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1184_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"84","question_id":"angle_estimation_1184_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1184_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[351.9526,304.2833],[163.8067,350.172]],"scene_type":"single","seed":1184,"vertex":[241.0,242.0]}
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+{"angle_degrees":232.224431,"arc_sweep_degrees":232.224431,"canvas_size":[466,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1186","image_path":"images/angle_estimation_1186.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1186_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_1186_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1186_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"52","question_id":"angle_estimation_1186_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1186_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[87.7752,309.3694],[330.4916,298.3999]],"scene_type":"single","seed":1186,"vertex":[233.0,245.5]}
+{"angle_degrees":79.177429,"arc_sweep_degrees":79.177429,"canvas_size":[496,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1187","image_path":"images/angle_estimation_1187.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1187_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1187_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1187_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"101","question_id":"angle_estimation_1187_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1187_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[246.8392,410.8982],[107.9652,272.7436]],"scene_type":"single","seed":1187,"vertex":[248.0,247.0]}
+{"angle_degrees":319.057154,"arc_sweep_degrees":319.057154,"canvas_size":[487,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1188","image_path":"images/angle_estimation_1188.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1188_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_1188_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1188_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"139","question_id":"angle_estimation_1188_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1188_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[352.8942,354.534],[375.6431,257.4368]],"scene_type":"single","seed":1188,"vertex":[243.5,253.0]}
+{"angle_1_degrees":117.701755,"angle_2_degrees":130.103185,"angles":[{"angle_degrees":117.701755,"arc_sweep_degrees":117.701755,"ray_endpoints":[[138.5811,375.1791],[19.0129,230.9493]],"vertex":[131.22,279.3]},{"angle_degrees":130.103185,"arc_sweep_degrees":130.103185,"ray_endpoints":[[378.1608,190.5106],[420.7892,373.0681]],"vertex":[354.78,279.3]}],"canvas_size":[486,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1189","image_path":"images/angle_estimation_1189.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1189_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1189_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1189_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1189_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1189_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1189}
+{"angle_1_degrees":69.899166,"angle_2_degrees":28.840782,"angles":[{"angle_degrees":69.899166,"arc_sweep_degrees":69.899166,"ray_endpoints":[[59.3703,198.1393],[194.7619,149.0847]],"vertex":[129.06,274.74]},{"angle_degrees":28.840782,"arc_sweep_degrees":28.840782,"ray_endpoints":[[396.8555,181.6592],[441.5832,212.437]],"vertex":[348.94,274.74]}],"canvas_size":[478,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1190","image_path":"images/angle_estimation_1190.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1190_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1190_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1190_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1190_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1190_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1190}
+{"angle_1_degrees":163.236404,"angle_2_degrees":27.735953,"angles":[{"angle_degrees":163.236404,"arc_sweep_degrees":163.236404,"ray_endpoints":[[215.629,216.3231],[46.2611,354.4636]],"vertex":[128.52,266.76]},{"angle_degrees":27.735953,"arc_sweep_degrees":27.735953,"ray_endpoints":[[418.3109,342.3589],[381.2559,389.3905]],"vertex":[347.48,266.76]}],"canvas_size":[476,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1191","image_path":"images/angle_estimation_1191.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1191_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1191_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_1191_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1191_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1191_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1191}
+{"angle_1_degrees":32.540942,"angle_2_degrees":127.085405,"angles":[{"angle_degrees":32.540942,"arc_sweep_degrees":32.540942,"ray_endpoints":[[147.4077,197.5919],[216.8636,189.2141]],"vertex":[134.19,283.29]},{"angle_degrees":127.085405,"arc_sweep_degrees":127.085405,"ray_endpoints":[[267.5261,310.3964],[412.5663,155.0464]],"vertex":[362.81,283.29]}],"canvas_size":[497,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1192","image_path":"images/angle_estimation_1192.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1192_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1192_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1192_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1192_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1192_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1192}
+{"angle_1_degrees":33.114373,"angle_2_degrees":45.271808,"angles":[{"angle_degrees":33.114373,"arc_sweep_degrees":33.114373,"ray_endpoints":[[204.4169,343.9746],[166.193,408.9715]],"vertex":[126.63,278.73]},{"angle_degrees":45.271808,"arc_sweep_degrees":45.271808,"ray_endpoints":[[284.6015,196.3755],[365.5064,150.4469]],"vertex":[342.37,278.73]}],"canvas_size":[469,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1193","image_path":"images/angle_estimation_1193.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1193_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1193_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1193_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1193_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1193_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1193}
+{"angle_1_degrees":134.64493,"angle_2_degrees":54.548829,"angles":[{"angle_degrees":134.64493,"arc_sweep_degrees":134.64493,"ray_endpoints":[[193.2011,362.9816],[22.8274,244.6213]],"vertex":[132.3,267.9]},{"angle_degrees":54.548829,"arc_sweep_degrees":54.548829,"ray_endpoints":[[326.1532,157.7671],[431.133,175.7962]],"vertex":[357.7,267.9]}],"canvas_size":[490,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1194","image_path":"images/angle_estimation_1194.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1194_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1194_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1194_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1194_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1194_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1194}
+{"angle_1_degrees":59.222339,"angle_2_degrees":90.508096,"angles":[{"angle_degrees":59.222339,"arc_sweep_degrees":59.222339,"ray_endpoints":[[61.2886,225.3326],[138.9449,149.6835]],"vertex":[126.63,273.6]},{"angle_degrees":90.508096,"arc_sweep_degrees":90.508096,"ray_endpoints":[[273.5381,194.5191],[449.7398,181.8062]],"vertex":[342.37,273.6]}],"canvas_size":[469,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1195","image_path":"images/angle_estimation_1195.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1195_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1195_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1195_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1195_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1195_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1195}
+{"canvas_size":[460,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1196","image_path":"images/angle_estimation_1196.png","interior_angles_degrees":[120.179523,25.503169,34.317308],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1196_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1196_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1196_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1196_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1196_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1196,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[152.0962,331.4826],[405.0,331.4826],[55.0,164.5174]]}
+{"canvas_size":[492,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1197","image_path":"images/angle_estimation_1197.png","interior_angles_degrees":[101.573023,33.260827,45.16615],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1197_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1197_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1197_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1197_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1197_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1197,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[106.3083,372.7767],[437.0,372.7767],[55.0,122.2233]]}
+{"canvas_size":[470,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1198","image_path":"images/angle_estimation_1198.png","interior_angles_degrees":[104.619051,41.596711,33.784238],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1198_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1198_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1198_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1198_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1198_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1198,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[138.3594,419.293],[415.0,419.293],[55.0,99.707]]}
+{"canvas_size":[497,455],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1199","image_path":"images/angle_estimation_1199.png","interior_angles_degrees":[107.20754,25.399818,47.392642],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1199_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1199_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1199_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1199_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1199_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1199,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[111.9096,334.3798],[442.0,334.3798],[55.0,150.6202]]}
+{"canvas_size":[469,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1200","image_path":"images/angle_estimation_1200.png","interior_angles_degrees":[138.805218,21.026037,20.168745],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1200_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1200_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1200_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1200_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1200_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1200,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[212.6587,328.4972],[414.0,328.4972],[55.0,190.5028]]}
+{"angle_degrees":135.004538,"arc_sweep_degrees":135.004538,"canvas_size":[462,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1201","image_path":"images/angle_estimation_1201.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1201_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1201_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1201_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"45","question_id":"angle_estimation_1201_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1201_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[362.9483,183.8057],[192.426,342.8646]],"scene_type":"single","seed":1201,"vertex":[231.0,242.5]}
+{"angle_degrees":151.396651,"arc_sweep_degrees":151.396651,"canvas_size":[469,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1202","image_path":"images/angle_estimation_1202.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1202_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1202_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1202_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"29","question_id":"angle_estimation_1202_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1202_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[381.1159,191.1413],[160.4406,343.9343]],"scene_type":"single","seed":1202,"vertex":[234.5,252.0]}
+{"angle_degrees":73.587611,"arc_sweep_degrees":73.587611,"canvas_size":[463,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1203","image_path":"images/angle_estimation_1203.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1203_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1203_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1203_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"106","question_id":"angle_estimation_1203_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1203_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[244.0748,111.1808],[363.0061,222.5083]],"scene_type":"single","seed":1203,"vertex":[231.5,248.5]}
+{"angle_degrees":142.555046,"arc_sweep_degrees":142.555046,"canvas_size":[474,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1204","image_path":"images/angle_estimation_1204.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1204_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1204_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1204_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"37","question_id":"angle_estimation_1204_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1204_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[344.0657,347.5276],[117.9145,252.0626]],"scene_type":"single","seed":1204,"vertex":[237.0,257.5]}
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+{"angle_degrees":19.664281,"arc_sweep_degrees":19.664281,"canvas_size":[495,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1207","image_path":"images/angle_estimation_1207.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1207_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_1207_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1207_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"160","question_id":"angle_estimation_1207_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1207_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[386.3999,348.3601],[341.7918,382.1241]],"scene_type":"single","seed":1207,"vertex":[247.5,257.0]}
+{"angle_degrees":231.731497,"arc_sweep_degrees":231.731497,"canvas_size":[451,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1208","image_path":"images/angle_estimation_1208.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1208_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_1208_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1208_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"52","question_id":"angle_estimation_1208_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1208_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[382.0322,182.7124],[116.5533,171.0458]],"scene_type":"single","seed":1208,"vertex":[225.5,239.0]}
+{"angle_1_degrees":40.248756,"angle_2_degrees":60.461296,"angles":[{"angle_degrees":40.248756,"arc_sweep_degrees":40.248756,"ray_endpoints":[[131.277,334.6761],[49.8481,354.0599]],"vertex":[130.68,257.07]},{"angle_degrees":60.461296,"arc_sweep_degrees":60.461296,"ray_endpoints":[[376.8937,348.2803],[261.5207,345.8123]],"vertex":[353.32,257.07]}],"canvas_size":[484,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1209","image_path":"images/angle_estimation_1209.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1209_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1209_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1209_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1209_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1209_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1209}
+{"angle_1_degrees":69.561839,"angle_2_degrees":101.024413,"angles":[{"angle_degrees":69.561839,"arc_sweep_degrees":69.561839,"ray_endpoints":[[137.3144,372.1828],[18.9671,332.2605]],"vertex":[122.58,274.74]},{"angle_degrees":101.024413,"arc_sweep_degrees":101.024413,"ray_endpoints":[[285.8356,204.7116],[434.6422,232.9572]],"vertex":[331.42,274.74]}],"canvas_size":[454,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1210","image_path":"images/angle_estimation_1210.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1210_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1210_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1210_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1210_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1210_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1210}
+{"angle_1_degrees":13.488057,"angle_2_degrees":51.004726,"angles":[{"angle_degrees":13.488057,"arc_sweep_degrees":13.488057,"ray_endpoints":[[61.7834,359.0548],[22.4133,359.105]],"vertex":[126.36,279.3]},{"angle_degrees":51.004726,"arc_sweep_degrees":51.004726,"ray_endpoints":[[401.8713,336.1049],[331.2033,417.209]],"vertex":[341.64,279.3]}],"canvas_size":[468,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1211","image_path":"images/angle_estimation_1211.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1211_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1211_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1211_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1211_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1211_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1211}
+{"angle_1_degrees":38.562479,"angle_2_degrees":59.781023,"angles":[{"angle_degrees":38.562479,"arc_sweep_degrees":38.562479,"ray_endpoints":[[46.0237,233.7775],[83.2416,156.1609]],"vertex":[135.0,283.86]},{"angle_degrees":59.781023,"arc_sweep_degrees":59.781023,"ray_endpoints":[[464.2373,340.8305],[365.8272,415.6747]],"vertex":[365.0,283.86]}],"canvas_size":[500,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1212","image_path":"images/angle_estimation_1212.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1212_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1212_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1212_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1212_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1212_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1212}
+{"angle_1_degrees":101.600026,"angle_2_degrees":91.112429,"angles":[{"angle_degrees":101.600026,"arc_sweep_degrees":101.600026,"ray_endpoints":[[19.0993,296.3286],[130.9313,130.0921]],"vertex":[130.14,274.17]},{"angle_degrees":91.112429,"arc_sweep_degrees":91.112429,"ray_endpoints":[[428.6564,235.2696],[405.1812,384.7085]],"vertex":[351.86,274.17]}],"canvas_size":[482,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1213","image_path":"images/angle_estimation_1213.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1213_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1213_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1213_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1213_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1213_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1213}
+{"angle_1_degrees":90.203083,"angle_2_degrees":67.222781,"angles":[{"angle_degrees":90.203083,"arc_sweep_degrees":90.203083,"ray_endpoints":[[42.5181,217.4733],[201.3334,179.8333]],"vertex":[126.09,279.87]},{"angle_degrees":67.222781,"arc_sweep_degrees":67.222781,"ray_endpoints":[[256.6118,244.2663],[341.1403,169.6809]],"vertex":[340.91,279.87]}],"canvas_size":[467,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1214","image_path":"images/angle_estimation_1214.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1214_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1214_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1214_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1214_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1214_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1214}
+{"angle_1_degrees":42.175637,"angle_2_degrees":50.949071,"angles":[{"angle_degrees":42.175637,"arc_sweep_degrees":42.175637,"ray_endpoints":[[158.9756,366.2905],[82.4922,391.546]],"vertex":[129.06,281.01]},{"angle_degrees":50.949071,"arc_sweep_degrees":50.949071,"ray_endpoints":[[392.6702,344.3491],[315.4713,395.2617]],"vertex":[348.94,281.01]}],"canvas_size":[478,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1215","image_path":"images/angle_estimation_1215.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1215_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1215_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1215_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1215_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1215_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1215}
+{"canvas_size":[484,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1216","image_path":"images/angle_estimation_1216.png","interior_angles_degrees":[44.12726,77.915091,57.957649],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1216_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1216_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_1216_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1216_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1216_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1216,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,393.6955],[429.0,393.6955],[364.6845,93.3045]]}
+{"canvas_size":[453,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1217","image_path":"images/angle_estimation_1217.png","interior_angles_degrees":[64.352956,56.165859,59.481185],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1217_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1217_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1217_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1217_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1217_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1217,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,405.5741],[398.0,405.5741],[198.1498,107.4259]]}
+{"canvas_size":[484,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1218","image_path":"images/angle_estimation_1218.png","interior_angles_degrees":[48.368761,45.317786,86.313454],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1218_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1218_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1218_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1218_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1218_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1218,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,344.0854],[429.0,344.0854],[232.0264,144.9146]]}
+{"canvas_size":[483,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1219","image_path":"images/angle_estimation_1219.png","interior_angles_degrees":[54.01986,43.042863,82.937277],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1219_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1219_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1219_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1219_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1219_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1219,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,355.7971],[428.0,355.7971],[205.7161,148.2029]]}
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+{"angle_degrees":149.393569,"arc_sweep_degrees":149.393569,"canvas_size":[486,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1222","image_path":"images/angle_estimation_1222.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1222_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1222_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1222_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"31","question_id":"angle_estimation_1222_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1222_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[259.4569,99.186],[286.8048,348.7112]],"scene_type":"single","seed":1222,"vertex":[243.0,252.5]}
+{"angle_degrees":159.043248,"arc_sweep_degrees":159.043248,"canvas_size":[497,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1223","image_path":"images/angle_estimation_1223.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1223_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1223_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1223_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"21","question_id":"angle_estimation_1223_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1223_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[187.3366,398.4912],[253.5848,140.8021]],"scene_type":"single","seed":1223,"vertex":[248.5,257.5]}
+{"angle_degrees":251.0645,"arc_sweep_degrees":251.0645,"canvas_size":[456,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1224","image_path":"images/angle_estimation_1224.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1224_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_1224_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1224_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"71","question_id":"angle_estimation_1224_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1224_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[97.9447,303.0558],[335.2878,350.392]],"scene_type":"single","seed":1224,"vertex":[228.0,241.0]}
+{"angle_degrees":59.999979,"arc_sweep_degrees":59.999979,"canvas_size":[474,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1225","image_path":"images/angle_estimation_1225.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1225_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1225_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1225_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_1225_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1225_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[75.4553,268.588],[154.7209,135.178]],"scene_type":"single","seed":1225,"vertex":[237.0,257.5]}
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+{"angle_1_degrees":107.987413,"angle_2_degrees":71.906468,"angles":[{"angle_degrees":107.987413,"arc_sweep_degrees":107.987413,"ray_endpoints":[[186.5943,321.9686],[35.4323,330.2918]],"vertex":[123.66,271.89]},{"angle_degrees":71.906468,"arc_sweep_degrees":71.906468,"ray_endpoints":[[265.1425,190.8738],[400.7649,163.0907]],"vertex":[334.34,271.89]}],"canvas_size":[458,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1229","image_path":"images/angle_estimation_1229.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1229_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1229_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1229_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1229_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1229_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1229}
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+{"angle_1_degrees":39.180396,"angle_2_degrees":51.295193,"angles":[{"angle_degrees":39.180396,"arc_sweep_degrees":39.180396,"ray_endpoints":[[122.1303,194.4122],[202.4803,171.1342]],"vertex":[127.98,277.02]},{"angle_degrees":51.295193,"arc_sweep_degrees":51.295193,"ray_endpoints":[[408.1052,366.3699],[307.7167,406.3173]],"vertex":[346.02,277.02]}],"canvas_size":[474,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1231","image_path":"images/angle_estimation_1231.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1231_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1231_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1231_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1231_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1231_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1231}
+{"angle_1_degrees":57.012123,"angle_2_degrees":127.894014,"angles":[{"angle_degrees":57.012123,"arc_sweep_degrees":57.012123,"ray_endpoints":[[78.1288,203.2058],[159.3242,152.1569]],"vertex":[131.22,261.06]},{"angle_degrees":127.894014,"arc_sweep_degrees":127.894014,"ray_endpoints":[[343.1532,173.1266],[453.2271,318.7306]],"vertex":[354.78,261.06]}],"canvas_size":[486,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1232","image_path":"images/angle_estimation_1232.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1232_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1232_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1232_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1232_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1232_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1232}
+{"angle_1_degrees":91.479743,"angle_2_degrees":39.533097,"angles":[{"angle_degrees":91.479743,"arc_sweep_degrees":91.479743,"ray_endpoints":[[191.3657,324.6759],[36.7869,363.5103]],"vertex":[126.9,267.33]},{"angle_degrees":39.533097,"arc_sweep_degrees":39.533097,"ray_endpoints":[[258.6086,256.9787],[249.3422,168.4685]],"vertex":[343.1,267.33]}],"canvas_size":[470,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1233","image_path":"images/angle_estimation_1233.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1233_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1233_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1233_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1233_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1233_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1233}
+{"angle_1_degrees":25.7475,"angle_2_degrees":66.741686,"angles":[{"angle_degrees":25.7475,"arc_sweep_degrees":25.7475,"ray_endpoints":[[89.5909,211.6939],[107.5141,130.5792]],"vertex":[134.73,272.46]},{"angle_degrees":66.741686,"arc_sweep_degrees":66.741686,"ray_endpoints":[[443.5375,323.6687],[343.6562,394.27]],"vertex":[364.27,272.46]}],"canvas_size":[499,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1234","image_path":"images/angle_estimation_1234.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1234_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1234_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1234_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1234_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1234_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1234}
+{"angle_1_degrees":65.820955,"angle_2_degrees":113.369369,"angles":[{"angle_degrees":65.820955,"arc_sweep_degrees":65.820955,"ray_endpoints":[[55.0039,320.705],[26.49,200.0492]],"vertex":[133.38,271.89]},{"angle_degrees":113.369369,"arc_sweep_degrees":113.369369,"ray_endpoints":[[277.7195,290.8092],[382.3162,154.9842]],"vertex":[360.62,271.89]}],"canvas_size":[494,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1235","image_path":"images/angle_estimation_1235.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1235_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1235_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1235_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1235_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1235_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1235}
+{"canvas_size":[484,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1236","image_path":"images/angle_estimation_1236.png","interior_angles_degrees":[90.639651,44.927768,44.432581],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1236_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1236_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1236_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1236_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1236_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1236,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[59.165,441.5291],[429.0,441.5291],[55.0,68.4709]]}
+{"canvas_size":[459,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1237","image_path":"images/angle_estimation_1237.png","interior_angles_degrees":[90.990485,39.341817,49.667698],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1237_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1237_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1237_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1237_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1237_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1237,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[59.946,395.5394],[404.0,395.5394],[55.0,109.4606]]}
+{"canvas_size":[451,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1238","image_path":"images/angle_estimation_1238.png","interior_angles_degrees":[91.097944,48.347923,40.554133],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1238_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1238_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1238_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1238_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1238_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1238,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[63.3582,446.0],[394.9437,446.0],[56.0563,65.0]]}
+{"canvas_size":[454,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1239","image_path":"images/angle_estimation_1239.png","interior_angles_degrees":[88.953969,31.443621,59.60241],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1239_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1239_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1239_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1239_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1239_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1239,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,352.5079],[399.0,352.5079],[58.7981,144.4921]]}
+{"canvas_size":[491,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1240","image_path":"images/angle_estimation_1240.png","interior_angles_degrees":[90.039519,42.88805,47.07243],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1240_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1240_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1240_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1240_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1240_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1240,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.2441,431.4495],[436.0,431.4495],[55.0,77.5505]]}
+{"angle_degrees":81.926199,"arc_sweep_degrees":81.926199,"canvas_size":[488,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1241","image_path":"images/angle_estimation_1241.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1241_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1241_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1241_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"98","question_id":"angle_estimation_1241_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1241_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[106.5736,263.9181],[220.9886,141.5811]],"scene_type":"single","seed":1241,"vertex":[244.0,256.0]}
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+{"angle_degrees":134.652587,"arc_sweep_degrees":134.652587,"canvas_size":[496,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1243","image_path":"images/angle_estimation_1243.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1243_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1243_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1243_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"45","question_id":"angle_estimation_1243_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1243_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[89.3858,184.8784],[346.4508,213.8181]],"scene_type":"single","seed":1243,"vertex":[248.0,253.5]}
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+{"angle_1_degrees":61.525348,"angle_2_degrees":25.443685,"angles":[{"angle_degrees":61.525348,"arc_sweep_degrees":61.525348,"ray_endpoints":[[150.1287,347.3623],[27.4262,375.5264]],"vertex":[123.93,270.75]},{"angle_degrees":25.443685,"arc_sweep_degrees":25.443685,"ray_endpoints":[[315.8851,184.8103],[366.4696,133.2054]],"vertex":[335.07,270.75]}],"canvas_size":[459,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1250","image_path":"images/angle_estimation_1250.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1250_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1250_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1250_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1250_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1250_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1250}
+{"angle_1_degrees":169.08235,"angle_2_degrees":11.322851,"angles":[{"angle_degrees":169.08235,"arc_sweep_degrees":169.08235,"ray_endpoints":[[170.7032,198.2915],[105.089,388.6839]],"vertex":[133.38,277.59]},{"angle_degrees":11.322851,"arc_sweep_degrees":11.322851,"ray_endpoints":[[352.8328,170.1717],[374.4101,168.0688]],"vertex":[360.62,277.59]}],"canvas_size":[494,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1251","image_path":"images/angle_estimation_1251.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1251_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1251_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"160","question_id":"angle_estimation_1251_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1251_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1251_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1251}
+{"angle_1_degrees":58.598236,"angle_2_degrees":85.134266,"angles":[{"angle_degrees":58.598236,"arc_sweep_degrees":58.598236,"ray_endpoints":[[227.9752,329.2371],[148.7365,422.7562]],"vertex":[135.0,284.43]},{"angle_degrees":85.134266,"arc_sweep_degrees":85.134266,"ray_endpoints":[[285.8394,332.2844],[296.4429,190.1373]],"vertex":[365.0,284.43]}],"canvas_size":[500,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1252","image_path":"images/angle_estimation_1252.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1252_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1252_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1252_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1252_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1252_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1252}
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+{"angle_1_degrees":17.878492,"angle_2_degrees":158.559441,"angles":[{"angle_degrees":17.878492,"arc_sweep_degrees":17.878492,"ray_endpoints":[[60.6476,199.2426],[60.7761,137.7792]],"vertex":[128.79,265.05]},{"angle_degrees":158.559441,"arc_sweep_degrees":158.559441,"ray_endpoints":[[332.1195,361.1745],[325.4652,157.4699]],"vertex":[348.21,265.05]}],"canvas_size":[477,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1254","image_path":"images/angle_estimation_1254.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1254_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1254_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_1254_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1254_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1254_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1254}
+{"angle_1_degrees":134.173051,"angle_2_degrees":79.011883,"angles":[{"angle_degrees":134.173051,"arc_sweep_degrees":134.173051,"ray_endpoints":[[85.1617,373.1553],[84.4421,168.8105]],"vertex":[127.98,269.61]},{"angle_degrees":79.011883,"arc_sweep_degrees":79.011883,"ray_endpoints":[[404.393,205.6098],[449.1984,332.5386]],"vertex":[346.02,269.61]}],"canvas_size":[474,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1255","image_path":"images/angle_estimation_1255.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1255_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1255_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1255_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1255_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1255_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1255}
+{"canvas_size":[485,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1256","image_path":"images/angle_estimation_1256.png","interior_angles_degrees":[116.477805,37.510844,26.011351],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1256_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1256_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1256_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1256_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1256_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1256,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[198.3827,387.4302],[430.0,387.4302],[55.0,99.5698]]}
+{"canvas_size":[482,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1257","image_path":"images/angle_estimation_1257.png","interior_angles_degrees":[108.464596,40.62427,30.911134],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1257_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1257_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1257_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1257_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1257_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1257,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[161.5555,412.058],[427.0,412.058],[55.0,92.942]]}
+{"canvas_size":[458,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1258","image_path":"images/angle_estimation_1258.png","interior_angles_degrees":[132.096927,18.408302,29.49477],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1258_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1258_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1258_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1258_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1258_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1258,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[159.6403,309.4101],[403.0,309.4101],[55.0,193.5899]]}
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+{"canvas_size":[455,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1260","image_path":"images/angle_estimation_1260.png","interior_angles_degrees":[118.793913,23.631733,37.574354],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1260_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1260_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1260_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1260_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1260_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1260,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[137.967,319.9772],[400.0,319.9772],[55.0,169.0228]]}
+{"angle_degrees":46.528381,"arc_sweep_degrees":46.528381,"canvas_size":[454,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1261","image_path":"images/angle_estimation_1261.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1261_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_1261_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1261_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"133","question_id":"angle_estimation_1261_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1261_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[273.0831,397.7487],[157.2622,370.1094]],"scene_type":"single","seed":1261,"vertex":[227.0,247.0]}
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+{"angle_degrees":112.301723,"arc_sweep_degrees":112.301723,"canvas_size":[460,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1263","image_path":"images/angle_estimation_1263.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1263_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_1263_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1263_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"68","question_id":"angle_estimation_1263_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1263_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[67.6782,227.8061],[297.3924,118.6747]],"scene_type":"single","seed":1263,"vertex":[230.0,244.5]}
+{"angle_degrees":142.904322,"arc_sweep_degrees":142.904322,"canvas_size":[457,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1264","image_path":"images/angle_estimation_1264.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1264_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1264_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1264_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"37","question_id":"angle_estimation_1264_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1264_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[215.7546,105.1649],[336.3156,371.5039]],"scene_type":"single","seed":1264,"vertex":[228.5,252.0]}
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+{"angle_degrees":111.0592,"arc_sweep_degrees":111.0592,"canvas_size":[454,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1267","image_path":"images/angle_estimation_1267.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1267_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_1267_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1267_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"69","question_id":"angle_estimation_1267_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1267_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[218.662,89.6836],[350.5619,293.4735]],"scene_type":"single","seed":1267,"vertex":[227.0,253.0]}
+{"angle_degrees":32.881102,"arc_sweep_degrees":32.881102,"canvas_size":[455,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1268","image_path":"images/angle_estimation_1268.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1268_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_1268_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1268_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"147","question_id":"angle_estimation_1268_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1268_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[102.5124,168.1689],[174.803,121.3716]],"scene_type":"single","seed":1268,"vertex":[227.5,260.0]}
+{"angle_1_degrees":47.492803,"angle_2_degrees":33.393083,"angles":[{"angle_degrees":47.492803,"arc_sweep_degrees":47.492803,"ray_endpoints":[[106.5193,339.3723],[21.4641,312.5923]],"vertex":[134.19,269.61]},{"angle_degrees":33.393083,"arc_sweep_degrees":33.393083,"ray_endpoints":[[414.3729,350.2745],[361.23,382.0192]],"vertex":[362.81,269.61]}],"canvas_size":[497,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1269","image_path":"images/angle_estimation_1269.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1269_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1269_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1269_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1269_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1269_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1269}
+{"angle_1_degrees":164.739725,"angle_2_degrees":12.959983,"angles":[{"angle_degrees":164.739725,"arc_sweep_degrees":164.739725,"ray_endpoints":[[164.3867,192.0605],[109.9876,393.481]],"vertex":[131.22,264.48]},{"angle_degrees":12.959983,"arc_sweep_degrees":12.959983,"ray_endpoints":[[317.027,329.8934],[279.1056,345.7697]],"vertex":[354.78,264.48]}],"canvas_size":[486,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1270","image_path":"images/angle_estimation_1270.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1270_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1270_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"150","question_id":"angle_estimation_1270_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1270_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1270_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1270}
+{"angle_1_degrees":96.673724,"angle_2_degrees":151.651668,"angles":[{"angle_degrees":96.673724,"arc_sweep_degrees":96.673724,"ray_endpoints":[[60.2478,225.7783],[205.0956,143.0821]],"vertex":[127.44,259.92]},{"angle_degrees":151.651668,"arc_sweep_degrees":151.651668,"ray_endpoints":[[327.3789,359.8814],[309.7051,156.3255]],"vertex":[344.56,259.92]}],"canvas_size":[472,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1271","image_path":"images/angle_estimation_1271.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1271_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1271_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1271_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1271_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1271_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1271}
+{"angle_1_degrees":27.300742,"angle_2_degrees":56.181277,"angles":[{"angle_degrees":27.300742,"arc_sweep_degrees":27.300742,"ray_endpoints":[[197.3063,307.6351],[204.0127,374.1881]],"vertex":[125.28,275.31]},{"angle_degrees":56.181277,"arc_sweep_degrees":56.181277,"ray_endpoints":[[398.1922,362.6693],[295.1429,383.5196]],"vertex":[338.72,275.31]}],"canvas_size":[464,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1272","image_path":"images/angle_estimation_1272.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1272_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1272_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1272_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1272_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1272_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1272}
+{"angle_1_degrees":133.749956,"angle_2_degrees":47.469686,"angles":[{"angle_degrees":133.749956,"arc_sweep_degrees":133.749956,"ray_endpoints":[[215.9812,268.0524],[64.3591,362.3697]],"vertex":[132.84,275.88]},{"angle_degrees":47.469686,"arc_sweep_degrees":47.469686,"ray_endpoints":[[273.5097,254.5593],[304.5606,175.5374]],"vertex":[359.16,275.88]}],"canvas_size":[492,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1273","image_path":"images/angle_estimation_1273.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1273_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1273_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1273_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1273_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1273_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1273}
+{"angle_1_degrees":102.730084,"angle_2_degrees":11.23922,"angles":[{"angle_degrees":102.730084,"arc_sweep_degrees":102.730084,"ray_endpoints":[[35.2195,232.753],[215.4087,181.4888]],"vertex":[123.39,282.72]},{"angle_degrees":11.23922,"arc_sweep_degrees":11.23922,"ray_endpoints":[[285.0948,379.1073],[247.4465,393.1751]],"vertex":[333.61,282.72]}],"canvas_size":[457,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1274","image_path":"images/angle_estimation_1274.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1274_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1274_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1274_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1274_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1274_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1274}
+{"angle_1_degrees":17.921017,"angle_2_degrees":59.289702,"angles":[{"angle_degrees":17.921017,"arc_sweep_degrees":17.921017,"ray_endpoints":[[90.3485,386.3442],[58.5144,370.9229]],"vertex":[132.57,283.29]},{"angle_degrees":59.289702,"arc_sweep_degrees":59.289702,"ray_endpoints":[[460.2591,310.2311],[390.686,396.5931]],"vertex":[358.43,283.29]}],"canvas_size":[491,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1275","image_path":"images/angle_estimation_1275.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1275_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1275_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1275_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1275_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1275_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1275}
+{"canvas_size":[465,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1276","image_path":"images/angle_estimation_1276.png","interior_angles_degrees":[46.532037,63.239364,70.228599],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1276_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1276_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1276_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1276_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1276_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1276,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,367.7303],[410.0,367.7303],[286.7248,123.2697]]}
+{"canvas_size":[464,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1277","image_path":"images/angle_estimation_1277.png","interior_angles_degrees":[67.569841,40.809905,71.620254],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1277_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1277_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1277_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1277_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1277_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1277,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,373.1748],[409.0,373.1748],[148.0212,147.8252]]}
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+{"angle_degrees":77.109938,"arc_sweep_degrees":77.109938,"canvas_size":[453,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1282","image_path":"images/angle_estimation_1282.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1282_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1282_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1282_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"103","question_id":"angle_estimation_1282_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1282_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[198.4321,73.5574],[349.0887,191.0274]],"scene_type":"single","seed":1282,"vertex":[226.5,241.5]}
+{"angle_degrees":139.356855,"arc_sweep_degrees":139.356855,"canvas_size":[470,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1283","image_path":"images/angle_estimation_1283.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1283_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1283_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1283_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"41","question_id":"angle_estimation_1283_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1283_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[364.1431,279.9743],[84.5743,298.5025]],"scene_type":"single","seed":1283,"vertex":[235.0,237.0]}
+{"angle_degrees":68.957017,"arc_sweep_degrees":68.957017,"canvas_size":[481,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1284","image_path":"images/angle_estimation_1284.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1284_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1284_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1284_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"111","question_id":"angle_estimation_1284_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1284_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[123.5472,183.4674],[260.855,148.9265]],"scene_type":"single","seed":1284,"vertex":[240.5,256.0]}
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+{"angle_degrees":343.911482,"arc_sweep_degrees":343.911482,"canvas_size":[493,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1288","image_path":"images/angle_estimation_1288.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1288_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_1288_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1288_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"164","question_id":"angle_estimation_1288_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1288_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[150.5353,388.8179],[191.4199,408.6074]],"scene_type":"single","seed":1288,"vertex":[246.5,257.0]}
+{"angle_1_degrees":115.520043,"angle_2_degrees":73.315173,"angles":[{"angle_degrees":115.520043,"arc_sweep_degrees":115.520043,"ray_endpoints":[[73.1454,322.5867],[103.0383,165.6254]],"vertex":[131.22,273.6]},{"angle_degrees":73.315173,"arc_sweep_degrees":73.315173,"ray_endpoints":[[421.1893,195.5642],[468.3857,323.5009]],"vertex":[354.78,273.6]}],"canvas_size":[486,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1289","image_path":"images/angle_estimation_1289.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1289_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1289_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1289_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1289_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1289_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1289}
+{"angle_1_degrees":133.874769,"angle_2_degrees":116.197054,"angles":[{"angle_degrees":133.874769,"arc_sweep_degrees":133.874769,"ray_endpoints":[[26.0154,292.2461],[196.2496,146.463]],"vertex":[127.44,266.76]},{"angle_degrees":116.197054,"arc_sweep_degrees":116.197054,"ray_endpoints":[[399.2798,171.056],[424.5423,385.1437]],"vertex":[344.56,266.76]}],"canvas_size":[472,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1290","image_path":"images/angle_estimation_1290.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1290_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1290_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1290_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1290_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1290_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1290}
+{"angle_1_degrees":57.932934,"angle_2_degrees":30.445846,"angles":[{"angle_degrees":57.932934,"arc_sweep_degrees":57.932934,"ray_endpoints":[[140.0868,384.4316],[23.564,349.8551]],"vertex":[131.22,270.18]},{"angle_degrees":30.445846,"arc_sweep_degrees":30.445846,"ray_endpoints":[[322.5712,183.7016],[376.7202,145.9797]],"vertex":[354.78,270.18]}],"canvas_size":[486,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1291","image_path":"images/angle_estimation_1291.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1291_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1291_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1291_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1291_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1291_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1291}
+{"angle_1_degrees":100.808111,"angle_2_degrees":76.465088,"angles":[{"angle_degrees":100.808111,"arc_sweep_degrees":100.808111,"ray_endpoints":[[207.2451,232.7263],[174.533,398.8815]],"vertex":[128.52,282.72]},{"angle_degrees":76.465088,"arc_sweep_degrees":76.465088,"ray_endpoints":[[447.4652,293.466],[365.9519,424.9352]],"vertex":[347.48,282.72]}],"canvas_size":[476,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1292","image_path":"images/angle_estimation_1292.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1292_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1292_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1292_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1292_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1292_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1292}
+{"angle_1_degrees":18.443055,"angle_2_degrees":99.765613,"angles":[{"angle_degrees":18.443055,"arc_sweep_degrees":18.443055,"ray_endpoints":[[73.2506,182.7401],[106.1425,161.1189]],"vertex":[126.63,283.29]},{"angle_degrees":99.765613,"arc_sweep_degrees":99.765613,"ray_endpoints":[[402.5389,339.3728],[250.2076,353.3654]],"vertex":[342.37,283.29]}],"canvas_size":[469,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1293","image_path":"images/angle_estimation_1293.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1293_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1293_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1293_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1293_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1293_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1293}
+{"angle_1_degrees":62.049322,"angle_2_degrees":21.98416,"angles":[{"angle_degrees":62.049322,"arc_sweep_degrees":62.049322,"ray_endpoints":[[200.6758,316.3739],[127.6067,420.0559]],"vertex":[127.71,277.59]},{"angle_degrees":21.98416,"arc_sweep_degrees":21.98416,"ray_endpoints":[[363.6717,204.6033],[429.5346,162.147]],"vertex":[345.29,277.59]}],"canvas_size":[473,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1294","image_path":"images/angle_estimation_1294.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1294_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1294_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1294_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1294_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1294_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1294}
+{"angle_1_degrees":71.982942,"angle_2_degrees":108.790089,"angles":[{"angle_degrees":71.982942,"arc_sweep_degrees":71.982942,"ray_endpoints":[[66.7924,184.1411],[194.6046,188.8278]],"vertex":[123.12,274.17]},{"angle_degrees":108.790089,"arc_sweep_degrees":108.790089,"ray_endpoints":[[254.6215,319.4877],[312.087,169.9603]],"vertex":[332.88,274.17]}],"canvas_size":[456,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1295","image_path":"images/angle_estimation_1295.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1295_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1295_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1295_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1295_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1295_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1295}
+{"canvas_size":[480,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1296","image_path":"images/angle_estimation_1296.png","interior_angles_degrees":[88.992231,37.382121,53.625648],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1296_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1296_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1296_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1296_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1296_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1296,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,390.9771],[425.0,390.9771],[59.907,112.0229]]}
+{"canvas_size":[478,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1297","image_path":"images/angle_estimation_1297.png","interior_angles_degrees":[89.827509,43.132582,47.039909],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1297_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1297_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1297_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1297_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1297_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1297,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,421.3957],[423.0,421.3957],[56.035,77.6043]]}
+{"canvas_size":[462,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1298","image_path":"images/angle_estimation_1298.png","interior_angles_degrees":[89.725129,46.262446,44.012424],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1298_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1298_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1298_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1298_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1298_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1298,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[55.0,431.5144],[407.0,431.5144],[56.756,65.4856]]}
+{"canvas_size":[470,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1299","image_path":"images/angle_estimation_1299.png","interior_angles_degrees":[89.304086,33.255907,57.440007],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1299_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1299_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1299_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1299_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1299_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1299,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,371.6069],[415.0,371.6069],[57.8449,137.3931]]}
+{"canvas_size":[473,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1300","image_path":"images/angle_estimation_1300.png","interior_angles_degrees":[90.370214,29.204132,60.425654],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1300_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1300_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1300_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1300_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1300_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1300,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.3111,350.4541],[418.0,350.4541],[55.0,147.5459]]}
+{"angle_degrees":290.225664,"arc_sweep_degrees":290.225664,"canvas_size":[477,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1301","image_path":"images/angle_estimation_1301.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1301_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_1301_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1301_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"110","question_id":"angle_estimation_1301_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1301_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[399.5952,270.2914],[308.7402,111.7915]],"scene_type":"single","seed":1301,"vertex":[238.5,252.5]}
+{"angle_degrees":205.691354,"arc_sweep_degrees":205.691354,"canvas_size":[480,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1302","image_path":"images/angle_estimation_1302.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1302_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_1302_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1302_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"26","question_id":"angle_estimation_1302_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1302_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[96.6997,205.7011],[345.401,326.8951]],"scene_type":"single","seed":1302,"vertex":[240.0,240.5]}
+{"angle_degrees":307.292947,"arc_sweep_degrees":307.292947,"canvas_size":[473,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1303","image_path":"images/angle_estimation_1303.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1303_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_1303_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1303_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"127","question_id":"angle_estimation_1303_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1303_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[366.8614,162.3439],[248.5811,95.9661]],"scene_type":"single","seed":1303,"vertex":[236.5,246.0]}
+{"angle_degrees":298.730546,"arc_sweep_degrees":298.730546,"canvas_size":[475,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1304","image_path":"images/angle_estimation_1304.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1304_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_1304_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1304_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"119","question_id":"angle_estimation_1304_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1304_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[85.3961,279.8925],[192.6528,402.0086]],"scene_type":"single","seed":1304,"vertex":[237.5,245.5]}
+{"angle_degrees":90.00003,"arc_sweep_degrees":90.00003,"canvas_size":[460,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1305","image_path":"images/angle_estimation_1305.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"right","question_id":"angle_estimation_1305_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_1305_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"approximately equal to","question_id":"angle_estimation_1305_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"90","question_id":"angle_estimation_1305_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1305_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[60.5368,277.3346],[207.2518,99.8367]],"scene_type":"single","seed":1305,"vertex":[230.0,252.0]}
+{"angle_degrees":173.26517,"arc_sweep_degrees":173.26517,"canvas_size":[500,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1306","image_path":"images/angle_estimation_1306.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1306_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_1306_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1306_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"7","question_id":"angle_estimation_1306_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1306_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[209.2739,385.3403],[273.0205,149.2338]],"scene_type":"single","seed":1306,"vertex":[250.0,262.0]}
+{"angle_degrees":246.463443,"arc_sweep_degrees":246.463443,"canvas_size":[486,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1307","image_path":"images/angle_estimation_1307.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1307_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_1307_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1307_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"66","question_id":"angle_estimation_1307_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1307_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[95.0272,314.1703],[340.0168,322.8456]],"scene_type":"single","seed":1307,"vertex":[243.0,241.0]}
+{"angle_degrees":71.172927,"arc_sweep_degrees":71.172927,"canvas_size":[481,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1308","image_path":"images/angle_estimation_1308.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1308_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1308_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1308_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"109","question_id":"angle_estimation_1308_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1308_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[184.1534,136.4218],[350.1624,149.0436]],"scene_type":"single","seed":1308,"vertex":[240.5,255.5]}
+{"angle_1_degrees":46.614692,"angle_2_degrees":93.31227,"angles":[{"angle_degrees":46.614692,"arc_sweep_degrees":46.614692,"ray_endpoints":[[33.6346,276.0481],[40.7512,183.4926]],"vertex":[129.87,274.17]},{"angle_degrees":93.31227,"arc_sweep_degrees":93.31227,"ray_endpoints":[[273.4629,246.5316],[397.5558,164.2687]],"vertex":[351.13,274.17]}],"canvas_size":[481,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1309","image_path":"images/angle_estimation_1309.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1309_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1309_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1309_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1309_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1309_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1309}
+{"angle_1_degrees":54.957887,"angle_2_degrees":32.296272,"angles":[{"angle_degrees":54.957887,"arc_sweep_degrees":54.957887,"ray_endpoints":[[133.4541,378.4765],[44.4357,343.8779]],"vertex":[125.55,277.02]},{"angle_degrees":32.296272,"arc_sweep_degrees":32.296272,"ray_endpoints":[[409.6063,309.7276],[402.0912,374.5626]],"vertex":[339.45,277.02]}],"canvas_size":[465,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1310","image_path":"images/angle_estimation_1310.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1310_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1310_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1310_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1310_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1310_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1310}
+{"angle_1_degrees":162.582612,"angle_2_degrees":22.823423,"angles":[{"angle_degrees":162.582612,"arc_sweep_degrees":162.582612,"ray_endpoints":[[115.3285,192.2299],[179.9532,394.3091]],"vertex":[123.93,267.9]},{"angle_degrees":22.823423,"arc_sweep_degrees":22.823423,"ray_endpoints":[[433.7412,294.5239],[431.5918,343.1041]],"vertex":[335.07,267.9]}],"canvas_size":[459,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1311","image_path":"images/angle_estimation_1311.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1311_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1311_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_1311_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1311_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1311_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1311}
+{"angle_1_degrees":91.499095,"angle_2_degrees":136.634628,"angles":[{"angle_degrees":91.499095,"arc_sweep_degrees":91.499095,"ray_endpoints":[[221.3663,208.1358],[205.8467,382.1909]],"vertex":[130.95,274.74]},{"angle_degrees":136.634628,"arc_sweep_degrees":136.634628,"ray_endpoints":[[261.9413,327.4419],[395.4164,138.2249]],"vertex":[354.05,274.74]}],"canvas_size":[485,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1312","image_path":"images/angle_estimation_1312.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1312_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1312_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1312_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1312_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1312_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1312}
+{"angle_1_degrees":28.094314,"angle_2_degrees":56.367298,"angles":[{"angle_degrees":28.094314,"arc_sweep_degrees":28.094314,"ray_endpoints":[[80.8994,180.3466],[129.9888,164.6829]],"vertex":[132.03,271.89]},{"angle_degrees":56.367298,"arc_sweep_degrees":56.367298,"ray_endpoints":[[465.0857,255.1102],[442.304,365.1635]],"vertex":[356.97,271.89]}],"canvas_size":[489,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1313","image_path":"images/angle_estimation_1313.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1313_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1313_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1313_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1313_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1313_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1313}
+{"angle_1_degrees":126.968381,"angle_2_degrees":46.597251,"angles":[{"angle_degrees":126.968381,"arc_sweep_degrees":126.968381,"ray_endpoints":[[21.8682,285.615],[178.9638,135.912]],"vertex":[128.25,258.21]},{"angle_degrees":46.597251,"arc_sweep_degrees":46.597251,"ray_endpoints":[[351.6054,157.3093],[427.3302,189.0278]],"vertex":[346.75,258.21]}],"canvas_size":[475,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1314","image_path":"images/angle_estimation_1314.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1314_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1314_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1314_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1314_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1314_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1314}
+{"angle_1_degrees":52.675504,"angle_2_degrees":79.273274,"angles":[{"angle_degrees":52.675504,"arc_sweep_degrees":52.675504,"ray_endpoints":[[18.3109,239.6744],[71.4543,138.7455]],"vertex":[127.98,265.62]},{"angle_degrees":79.273274,"arc_sweep_degrees":79.273274,"ray_endpoints":[[453.4975,225.7326],[402.1609,358.7307]],"vertex":[346.02,265.62]}],"canvas_size":[474,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1315","image_path":"images/angle_estimation_1315.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1315_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1315_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1315_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1315_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1315_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1315}
+{"canvas_size":[463,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1316","image_path":"images/angle_estimation_1316.png","interior_angles_degrees":[103.084225,23.00924,53.906535],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1316_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1316_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1316_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1316_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1316_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1316,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[89.8409,322.4534],[408.0,322.4534],[55.0,172.5466]]}
+{"canvas_size":[489,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1317","image_path":"images/angle_estimation_1317.png","interior_angles_degrees":[105.551005,41.432626,33.016369],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1317_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1317_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1317_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1317_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1317_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1317,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[148.0906,417.2586],[434.0,417.2586],[55.0,82.7414]]}
+{"canvas_size":[496,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1318","image_path":"images/angle_estimation_1318.png","interior_angles_degrees":[120.783849,21.299264,37.916887],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1318_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1318_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1318_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1318_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1318_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1318,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[144.6522,323.7447],[441.0,323.7447],[55.0,173.2553]]}
+{"canvas_size":[475,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1319","image_path":"images/angle_estimation_1319.png","interior_angles_degrees":[101.053332,30.464509,48.482159],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1319_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1319_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1319_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1319_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1319_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1319,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[96.9403,356.3485],[420.0,356.3485],[55.0,141.6515]]}
+{"canvas_size":[459,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1320","image_path":"images/angle_estimation_1320.png","interior_angles_degrees":[131.002794,23.763412,25.233794],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1320_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1320_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1320_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1320_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1320_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1320,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[188.5888,321.3306],[404.0,321.3306],[55.0,167.6694]]}
+{"angle_degrees":225.89858,"arc_sweep_degrees":225.89858,"canvas_size":[484,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1321","image_path":"images/angle_estimation_1321.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1321_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_1321_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1321_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"46","question_id":"angle_estimation_1321_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1321_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[112.7488,278.1491],[350.5043,324.2866]],"scene_type":"single","seed":1321,"vertex":[242.0,251.0]}
+{"angle_degrees":304.867018,"arc_sweep_degrees":304.867018,"canvas_size":[476,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1322","image_path":"images/angle_estimation_1322.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1322_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_1322_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1322_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"125","question_id":"angle_estimation_1322_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1322_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[313.6229,137.6247],[181.9614,93.9057]],"scene_type":"single","seed":1322,"vertex":[238.0,246.0]}
+{"angle_degrees":131.12912,"arc_sweep_degrees":131.12912,"canvas_size":[480,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1323","image_path":"images/angle_estimation_1323.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1323_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1323_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1323_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"49","question_id":"angle_estimation_1323_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1323_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[240.5819,397.666],[116.8175,144.2892]],"scene_type":"single","seed":1323,"vertex":[240.0,251.0]}
+{"angle_degrees":142.549027,"arc_sweep_degrees":142.549027,"canvas_size":[480,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1324","image_path":"images/angle_estimation_1324.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1324_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1324_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1324_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"37","question_id":"angle_estimation_1324_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1324_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[139.3791,115.6955],[359.0565,284.9416]],"scene_type":"single","seed":1324,"vertex":[240.0,251.0]}
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+{"angle_1_degrees":17.725195,"angle_2_degrees":84.34731,"angles":[{"angle_degrees":17.725195,"arc_sweep_degrees":17.725195,"ray_endpoints":[[154.4023,164.9111],[201.8459,152.5831]],"vertex":[128.25,274.17]},{"angle_degrees":84.34731,"arc_sweep_degrees":84.34731,"ray_endpoints":[[414.6464,220.1171],[427.8721,357.6588]],"vertex":[346.75,274.17]}],"canvas_size":[475,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1329","image_path":"images/angle_estimation_1329.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1329_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1329_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1329_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1329_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1329_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1329}
+{"angle_1_degrees":137.79037,"angle_2_degrees":45.364704,"angles":[{"angle_degrees":137.79037,"arc_sweep_degrees":137.79037,"ray_endpoints":[[138.5417,167.5659],[210.1057,380.0379]],"vertex":[127.44,265.05]},{"angle_degrees":45.364704,"arc_sweep_degrees":45.364704,"ray_endpoints":[[399.4956,177.4906],[459.7668,239.4444]],"vertex":[344.56,265.05]}],"canvas_size":[472,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1330","image_path":"images/angle_estimation_1330.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1330_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1330_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1330_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1330_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1330_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1330}
+{"angle_1_degrees":87.623071,"angle_2_degrees":70.659526,"angles":[{"angle_degrees":87.623071,"arc_sweep_degrees":87.623071,"ray_endpoints":[[70.2259,353.2578],[30.1388,202.7661]],"vertex":[131.22,275.31]},{"angle_degrees":70.659526,"arc_sweep_degrees":70.659526,"ray_endpoints":[[414.214,184.1176],[473.1651,304.2864]],"vertex":[354.78,275.31]}],"canvas_size":[486,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1331","image_path":"images/angle_estimation_1331.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1331_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1331_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1331_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1331_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1331_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1331}
+{"angle_1_degrees":35.846655,"angle_2_degrees":63.060546,"angles":[{"angle_degrees":35.846655,"arc_sweep_degrees":35.846655,"ray_endpoints":[[99.0529,363.9668],[30.0649,348.2054]],"vertex":[122.31,270.18]},{"angle_degrees":63.060546,"arc_sweep_degrees":63.060546,"ray_endpoints":[[413.6505,341.741],[300.4607,392.8697]],"vertex":[330.69,270.18]}],"canvas_size":[453,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1332","image_path":"images/angle_estimation_1332.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1332_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1332_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1332_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1332_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1332_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1332}
+{"angle_1_degrees":158.74604,"angle_2_degrees":23.726258,"angles":[{"angle_degrees":158.74604,"arc_sweep_degrees":158.74604,"ray_endpoints":[[121.4157,373.2372],[89.2367,132.871]],"vertex":[129.87,269.04]},{"angle_degrees":23.726258,"arc_sweep_degrees":23.726258,"ray_endpoints":[[400.8815,166.3201],[447.6189,186.8317]],"vertex":[351.13,269.04]}],"canvas_size":[481,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1333","image_path":"images/angle_estimation_1333.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1333_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1333_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_1333_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1333_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1333_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1333}
+{"angle_1_degrees":130.36565,"angle_2_degrees":14.902714,"angles":[{"angle_degrees":130.36565,"arc_sweep_degrees":130.36565,"ray_endpoints":[[161.6197,184.4804],[208.4754,395.8316]],"vertex":[132.84,273.03]},{"angle_degrees":14.902714,"arc_sweep_degrees":14.902714,"ray_endpoints":[[315.8336,350.4709],[267.437,367.5859]],"vertex":[359.16,273.03]}],"canvas_size":[492,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1334","image_path":"images/angle_estimation_1334.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1334_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1334_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_1334_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1334_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1334_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1334}
+{"angle_1_degrees":66.101302,"angle_2_degrees":29.071421,"angles":[{"angle_degrees":66.101302,"arc_sweep_degrees":66.101302,"ray_endpoints":[[198.6776,346.3434],[82.5517,392.0221]],"vertex":[134.19,275.31]},{"angle_degrees":29.071421,"arc_sweep_degrees":29.071421,"ray_endpoints":[[428.6134,368.4601],[377.0484,407.0867]],"vertex":[362.81,275.31]}],"canvas_size":[497,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1335","image_path":"images/angle_estimation_1335.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1335_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1335_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1335_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1335_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1335_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1335}
+{"canvas_size":[482,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1336","image_path":"images/angle_estimation_1336.png","interior_angles_degrees":[68.160602,42.087287,69.752111],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1336_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1336_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1336_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1336_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1336_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1336,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,366.3434],[427.0,366.3434],[153.8645,119.6566]]}
+{"canvas_size":[489,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1337","image_path":"images/angle_estimation_1337.png","interior_angles_degrees":[60.842316,53.930644,65.22704],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1337_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1337_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1337_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1337_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1337_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1337,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,404.3211],[434.0,404.3211],[219.3845,109.6789]]}
+{"canvas_size":[499,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1338","image_path":"images/angle_estimation_1338.png","interior_angles_degrees":[70.386113,62.82704,46.786847],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1338_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1338_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1338_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1338_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1338_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1338,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[78.1709,459.0],[420.8291,459.0],[218.5756,65.0]]}
+{"canvas_size":[490,463],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1339","image_path":"images/angle_estimation_1339.png","interior_angles_degrees":[43.299119,79.680759,57.020121],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1339_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1339_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_1339_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1339_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1339_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1339,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,399.321],[435.0,399.321],[379.3494,93.679]]}
+{"canvas_size":[472,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1340","image_path":"images/angle_estimation_1340.png","interior_angles_degrees":[69.710892,54.481253,55.807855],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1340_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1340_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1340_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1340_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1340_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1340,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,424.054],[417.0,424.054],[178.5181,89.946]]}
+{"angle_degrees":203.943261,"arc_sweep_degrees":203.943261,"canvas_size":[478,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1341","image_path":"images/angle_estimation_1341.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1341_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_1341_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1341_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"24","question_id":"angle_estimation_1341_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1341_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[141.5635,350.0581],[383.5862,189.368]],"scene_type":"single","seed":1341,"vertex":[239.0,248.5]}
+{"angle_degrees":156.70403,"arc_sweep_degrees":156.70403,"canvas_size":[454,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1342","image_path":"images/angle_estimation_1342.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1342_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1342_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1342_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"23","question_id":"angle_estimation_1342_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1342_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[93.8462,222.4196],[387.4022,213.779]],"scene_type":"single","seed":1342,"vertex":[227.0,248.5]}
+{"angle_degrees":81.464943,"arc_sweep_degrees":81.464943,"canvas_size":[471,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1343","image_path":"images/angle_estimation_1343.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1343_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1343_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1343_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"99","question_id":"angle_estimation_1343_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1343_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[103.316,225.2321],[238.7471,97.7327]],"scene_type":"single","seed":1343,"vertex":[235.5,248.0]}
+{"angle_degrees":140.643985,"arc_sweep_degrees":140.643985,"canvas_size":[476,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1344","image_path":"images/angle_estimation_1344.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1344_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1344_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1344_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"39","question_id":"angle_estimation_1344_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1344_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[277.4972,382.5829],[121.4259,174.5957]],"scene_type":"single","seed":1344,"vertex":[238.0,252.5]}
+{"angle_degrees":90.000025,"arc_sweep_degrees":90.000025,"canvas_size":[456,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1345","image_path":"images/angle_estimation_1345.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"right","question_id":"angle_estimation_1345_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_1345_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"approximately equal to","question_id":"angle_estimation_1345_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"90","question_id":"angle_estimation_1345_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1345_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[193.922,109.78],[362.5745,225.8492]],"scene_type":"single","seed":1345,"vertex":[228.0,257.0]}
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+{"angle_degrees":198.318837,"arc_sweep_degrees":198.318837,"canvas_size":[481,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1347","image_path":"images/angle_estimation_1347.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1347_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_1347_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1347_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"18","question_id":"angle_estimation_1347_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1347_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[257.352,426.5982],[268.8526,132.5604]],"scene_type":"single","seed":1347,"vertex":[240.5,260.0]}
+{"angle_degrees":82.454823,"arc_sweep_degrees":82.454823,"canvas_size":[474,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1348","image_path":"images/angle_estimation_1348.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1348_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1348_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1348_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"98","question_id":"angle_estimation_1348_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1348_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[337.021,334.3127],[144.9857,371.3889]],"scene_type":"single","seed":1348,"vertex":[237.0,241.5]}
+{"angle_1_degrees":107.585879,"angle_2_degrees":64.591183,"angles":[{"angle_degrees":107.585879,"arc_sweep_degrees":107.585879,"ray_endpoints":[[57.0007,325.6268],[61.7389,137.4251]],"vertex":[121.5,266.76]},{"angle_degrees":64.591183,"arc_sweep_degrees":64.591183,"ray_endpoints":[[407.3451,339.3305],[291.1245,387.3649]],"vertex":[328.5,266.76]}],"canvas_size":[450,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1349","image_path":"images/angle_estimation_1349.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1349_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1349_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1349_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1349_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1349_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1349}
+{"angle_1_degrees":46.6076,"angle_2_degrees":102.988499,"angles":[{"angle_degrees":46.6076,"arc_sweep_degrees":46.6076,"ray_endpoints":[[115.3067,184.0354],[206.6768,185.8972]],"vertex":[129.87,283.29]},{"angle_degrees":102.988499,"arc_sweep_degrees":102.988499,"ray_endpoints":[[434.9457,283.9757],[319.5696,415.1822]],"vertex":[351.13,283.29]}],"canvas_size":[481,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1350","image_path":"images/angle_estimation_1350.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1350_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1350_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1350_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1350_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1350_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1350}
+{"angle_1_degrees":15.214023,"angle_2_degrees":79.571964,"angles":[{"angle_degrees":15.214023,"arc_sweep_degrees":15.214023,"ray_endpoints":[[198.6935,324.6456],[202.4248,376.7735]],"vertex":[124.2,259.92]},{"angle_degrees":79.571964,"arc_sweep_degrees":79.571964,"ray_endpoints":[[275.1066,195.8974],[410.8823,156.9605]],"vertex":[335.8,259.92]}],"canvas_size":[460,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1351","image_path":"images/angle_estimation_1351.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1351_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1351_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1351_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1351_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1351_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1351}
+{"angle_1_degrees":126.517996,"angle_2_degrees":43.494526,"angles":[{"angle_degrees":126.517996,"arc_sweep_degrees":126.517996,"ray_endpoints":[[144.0296,371.1526],[23.0744,220.7852]],"vertex":[126.63,272.46]},{"angle_degrees":43.494526,"arc_sweep_degrees":43.494526,"ray_endpoints":[[250.8942,263.6687],[250.7504,167.1228]],"vertex":[342.37,272.46]}],"canvas_size":[469,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1352","image_path":"images/angle_estimation_1352.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1352_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1352_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1352_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1352_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1352_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1352}
+{"angle_1_degrees":165.157322,"angle_2_degrees":58.628653,"angles":[{"angle_degrees":165.157322,"arc_sweep_degrees":165.157322,"ray_endpoints":[[96.9631,182.7983],[190.5031,386.1664]],"vertex":[125.01,278.16]},{"angle_degrees":58.628653,"arc_sweep_degrees":58.628653,"ray_endpoints":[[327.9136,186.5096],[437.3259,201.5354]],"vertex":[337.99,278.16]}],"canvas_size":[463,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1353","image_path":"images/angle_estimation_1353.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1353_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1353_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_1353_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1353_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1353_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1353}
+{"angle_1_degrees":35.082829,"angle_2_degrees":65.157354,"angles":[{"angle_degrees":35.082829,"arc_sweep_degrees":35.082829,"ray_endpoints":[[139.0869,171.921],[204.2833,174.327]],"vertex":[130.68,260.49]},{"angle_degrees":65.157354,"arc_sweep_degrees":65.157354,"ray_endpoints":[[401.7815,320.4908],[300.6628,367.3613]],"vertex":[353.32,260.49]}],"canvas_size":[484,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1354","image_path":"images/angle_estimation_1354.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1354_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1354_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1354_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1354_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1354_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1354}
+{"angle_1_degrees":41.722787,"angle_2_degrees":145.310817,"angles":[{"angle_degrees":41.722787,"arc_sweep_degrees":41.722787,"ray_endpoints":[[201.9588,339.0846],[140.595,411.579]],"vertex":[133.11,269.61]},{"angle_degrees":145.310817,"arc_sweep_degrees":145.310817,"ray_endpoints":[[332.4658,177.7364],[446.2032,338.7364]],"vertex":[359.89,269.61]}],"canvas_size":[493,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1355","image_path":"images/angle_estimation_1355.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1355_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1355_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1355_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1355_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1355_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1355}
+{"canvas_size":[465,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1356","image_path":"images/angle_estimation_1356.png","interior_angles_degrees":[91.012163,42.233857,46.753979],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1356_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1356_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1356_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1356_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1356_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1356,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[60.6938,425.1384],[410.0,425.1384],[55.0,102.8616]]}
+{"canvas_size":[486,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1357","image_path":"images/angle_estimation_1357.png","interior_angles_degrees":[90.632973,34.420539,54.946488],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1357_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1357_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1357_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1357_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1357_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1357,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[57.8465,382.3253],[431.0,382.3253],[55.0,124.6747]]}
+{"canvas_size":[450,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1358","image_path":"images/angle_estimation_1358.png","interior_angles_degrees":[90.691303,47.832147,41.476551],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1358_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1358_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1358_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1358_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1358_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1358,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[59.5295,449.1954],[395.0,449.1954],[55.0,73.8046]]}
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+{"angle_degrees":210.752024,"arc_sweep_degrees":210.752024,"canvas_size":[463,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1368","image_path":"images/angle_estimation_1368.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1368_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_1368_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1368_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"31","question_id":"angle_estimation_1368_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1368_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[66.5019,195.5132],[332.9771,351.0922]],"scene_type":"single","seed":1368,"vertex":[231.5,243.0]}
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+{"angle_1_degrees":51.487454,"angle_2_degrees":25.801183,"angles":[{"angle_degrees":51.487454,"arc_sweep_degrees":51.487454,"ray_endpoints":[[204.7764,352.8007],[116.0026,409.5504]],"vertex":[132.57,278.73]},{"angle_degrees":25.801183,"arc_sweep_degrees":25.801183,"ray_endpoints":[[290.3098,241.8503],[278.5771,167.8811]],"vertex":[358.43,278.73]}],"canvas_size":[491,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1370","image_path":"images/angle_estimation_1370.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1370_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1370_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1370_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1370_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1370_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1370}
+{"angle_1_degrees":63.149589,"angle_2_degrees":118.229108,"angles":[{"angle_degrees":63.149589,"arc_sweep_degrees":63.149589,"ray_endpoints":[[212.3061,264.9139],[196.4724,375.3244]],"vertex":[132.84,271.32]},{"angle_degrees":118.229108,"arc_sweep_degrees":118.229108,"ray_endpoints":[[452.3586,229.1819],[351.3261,386.2364]],"vertex":[359.16,271.32]}],"canvas_size":[492,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1371","image_path":"images/angle_estimation_1371.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1371_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1371_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1371_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1371_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1371_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1371}
+{"angle_1_degrees":96.766662,"angle_2_degrees":167.910103,"angles":[{"angle_degrees":96.766662,"arc_sweep_degrees":96.766662,"ray_endpoints":[[61.4545,306.8436],[77.8424,146.7796]],"vertex":[133.65,259.92]},{"angle_degrees":167.910103,"arc_sweep_degrees":167.910103,"ray_endpoints":[[297.1483,203.9732],[465.6881,317.7073]],"vertex":[361.35,259.92]}],"canvas_size":[495,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1372","image_path":"images/angle_estimation_1372.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1372_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1372_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1372_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1372_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1372_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1372}
+{"angle_1_degrees":50.092861,"angle_2_degrees":29.417719,"angles":[{"angle_degrees":50.092861,"arc_sweep_degrees":50.092861,"ray_endpoints":[[115.3485,360.4874],[29.582,329.9194]],"vertex":[122.04,262.77]},{"angle_degrees":29.417719,"arc_sweep_degrees":29.417719,"ray_endpoints":[[256.2514,210.2166],[271.2789,137.4642]],"vertex":[329.96,262.77]}],"canvas_size":[452,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1373","image_path":"images/angle_estimation_1373.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1373_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1373_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1373_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1373_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1373_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1373}
+{"angle_1_degrees":61.809148,"angle_2_degrees":118.179752,"angles":[{"angle_degrees":61.809148,"arc_sweep_degrees":61.809148,"ray_endpoints":[[122.9935,372.7092],[19.2018,336.2545]],"vertex":[121.5,279.3]},{"angle_degrees":118.179752,"arc_sweep_degrees":118.179752,"ray_endpoints":[[368.9998,183.4261],[400.0889,367.9587]],"vertex":[328.5,279.3]}],"canvas_size":[450,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1374","image_path":"images/angle_estimation_1374.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1374_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1374_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1374_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1374_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1374_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1374}
+{"angle_1_degrees":97.500486,"angle_2_degrees":53.546437,"angles":[{"angle_degrees":97.500486,"arc_sweep_degrees":97.500486,"ray_endpoints":[[186.1609,180.4105],[207.9774,350.0484]],"vertex":[122.31,271.32]},{"angle_degrees":53.546437,"arc_sweep_degrees":53.546437,"ray_endpoints":[[407.5505,288.9702],[388.5198,404.1899]],"vertex":[330.69,271.32]}],"canvas_size":[453,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1375","image_path":"images/angle_estimation_1375.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1375_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1375_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1375_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1375_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1375_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1375}
+{"canvas_size":[479,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1376","image_path":"images/angle_estimation_1376.png","interior_angles_degrees":[127.942998,23.460896,28.596106],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1376_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1376_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1376_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1376_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1376_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1376,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[179.8637,334.5732],[424.0,334.5732],[55.0,174.4268]]}
+{"canvas_size":[459,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1377","image_path":"images/angle_estimation_1377.png","interior_angles_degrees":[102.348356,45.397369,32.254275],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1377_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1377_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1377_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1377_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1377_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1377,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[132.4701,439.4374],[404.0,439.4374],[55.0,85.5626]]}
+{"canvas_size":[450,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1378","image_path":"images/angle_estimation_1378.png","interior_angles_degrees":[131.690923,19.335792,28.973285],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1378_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1378_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1378_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1378_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1378_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1378,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[161.2628,304.6524],[395.0,304.6524],[55.0,185.3476]]}
+{"canvas_size":[495,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1379","image_path":"images/angle_estimation_1379.png","interior_angles_degrees":[107.868993,34.515364,37.615643],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1379_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1379_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1379_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1379_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1379_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1379,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[140.3554,392.8776],[440.0,392.8776],[55.0,128.1224]]}
+{"canvas_size":[491,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1380","image_path":"images/angle_estimation_1380.png","interior_angles_degrees":[130.203449,17.208261,32.58829],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1380_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1380_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1380_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1380_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1380_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1380,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[154.7294,317.4997],[436.0,317.4997],[55.0,199.5003]]}
+{"angle_degrees":325.185119,"arc_sweep_degrees":325.185119,"canvas_size":[486,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1381","image_path":"images/angle_estimation_1381.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1381_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_1381_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1381_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"145","question_id":"angle_estimation_1381_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1381_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[267.9417,386.658],[358.6597,371.5335]],"scene_type":"single","seed":1381,"vertex":[243.0,259.5]}
+{"angle_degrees":316.441318,"arc_sweep_degrees":316.441318,"canvas_size":[492,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1382","image_path":"images/angle_estimation_1382.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1382_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_1382_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1382_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"136","question_id":"angle_estimation_1382_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1382_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[140.8958,114.9436],[131.8013,232.8302]],"scene_type":"single","seed":1382,"vertex":[246.0,250.0]}
+{"angle_degrees":341.204899,"arc_sweep_degrees":341.204899,"canvas_size":[457,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1383","image_path":"images/angle_estimation_1383.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1383_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_1383_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1383_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"161","question_id":"angle_estimation_1383_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1383_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[73.6021,206.1249],[123.1276,254.0321]],"scene_type":"single","seed":1383,"vertex":[228.5,246.0]}
+{"angle_degrees":259.69039,"arc_sweep_degrees":259.69039,"canvas_size":[469,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1384","image_path":"images/angle_estimation_1384.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1384_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_1384_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1384_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"80","question_id":"angle_estimation_1384_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1384_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[290.1707,120.454],[126.8084,209.7669]],"scene_type":"single","seed":1384,"vertex":[234.5,238.5]}
+{"angle_degrees":44.999996,"arc_sweep_degrees":44.999996,"canvas_size":[459,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1385","image_path":"images/angle_estimation_1385.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1385_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_1385_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1385_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"135","question_id":"angle_estimation_1385_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1385_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[96.2379,241.6414],[126.6475,141.0709]],"scene_type":"single","seed":1385,"vertex":[229.5,237.0]}
+{"angle_degrees":121.700759,"arc_sweep_degrees":121.700759,"canvas_size":[487,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1386","image_path":"images/angle_estimation_1386.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1386_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_1386_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1386_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"58","question_id":"angle_estimation_1386_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1386_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[217.3927,117.6827],[381.5633,292.4424]],"scene_type":"single","seed":1386,"vertex":[243.5,242.5]}
+{"angle_degrees":279.632511,"arc_sweep_degrees":279.632511,"canvas_size":[454,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1387","image_path":"images/angle_estimation_1387.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1387_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_1387_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1387_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"100","question_id":"angle_estimation_1387_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1387_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[92.3558,288.2858],[236.3368,411.938]],"scene_type":"single","seed":1387,"vertex":[227.0,257.0]}
+{"angle_degrees":226.765858,"arc_sweep_degrees":226.765858,"canvas_size":[487,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1388","image_path":"images/angle_estimation_1388.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1388_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_1388_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1388_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"47","question_id":"angle_estimation_1388_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1388_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[118.2481,146.8703],[245.0562,377.3501]],"scene_type":"single","seed":1388,"vertex":[243.5,261.5]}
+{"angle_1_degrees":11.686804,"angle_2_degrees":77.617412,"angles":[{"angle_degrees":11.686804,"arc_sweep_degrees":11.686804,"ray_endpoints":[[103.412,391.4061],[76.6286,399.4568]],"vertex":[122.31,285.0]},{"angle_degrees":77.617412,"arc_sweep_degrees":77.617412,"ray_endpoints":[[413.6911,331.0334],[290.3992,419.8889]],"vertex":[330.69,285.0]}],"canvas_size":[453,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1389","image_path":"images/angle_estimation_1389.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1389_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1389_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1389_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1389_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1389_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1389}
+{"angle_1_degrees":83.736126,"angle_2_degrees":107.629915,"angles":[{"angle_degrees":83.736126,"arc_sweep_degrees":83.736126,"ray_endpoints":[[176.0025,332.9635],[19.8097,353.7012]],"vertex":[122.85,259.92]},{"angle_degrees":107.629915,"arc_sweep_degrees":107.629915,"ray_endpoints":[[254.0385,293.4182],[319.4212,129.6853]],"vertex":[332.15,259.92]}],"canvas_size":[455,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1390","image_path":"images/angle_estimation_1390.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1390_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1390_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1390_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1390_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1390_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1390}
+{"angle_1_degrees":143.550715,"angle_2_degrees":124.739723,"angles":[{"angle_degrees":143.550715,"arc_sweep_degrees":143.550715,"ray_endpoints":[[52.683,328.3123],[155.4132,167.5828]],"vertex":[123.66,274.74]},{"angle_degrees":124.739723,"arc_sweep_degrees":124.739723,"ray_endpoints":[[250.2987,271.3809],[408.0934,176.9675]],"vertex":[334.34,274.74]}],"canvas_size":[458,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1391","image_path":"images/angle_estimation_1391.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1391_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1391_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1391_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1391_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1391_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1391}
+{"angle_1_degrees":63.302403,"angle_2_degrees":17.651312,"angles":[{"angle_degrees":63.302403,"arc_sweep_degrees":63.302403,"ray_endpoints":[[60.2944,312.7437],[26.5378,211.0939]],"vertex":[125.82,272.46]},{"angle_degrees":17.651312,"arc_sweep_degrees":17.651312,"ray_endpoints":[[409.0361,357.2939],[390.5931,401.0101]],"vertex":[340.18,272.46]}],"canvas_size":[466,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1392","image_path":"images/angle_estimation_1392.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1392_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1392_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1392_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1392_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1392_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1392}
+{"angle_1_degrees":28.306663,"angle_2_degrees":158.507915,"angles":[{"angle_degrees":28.306663,"arc_sweep_degrees":28.306663,"ray_endpoints":[[32.9244,259.6496],[32.1968,195.7954]],"vertex":[127.98,283.86]},{"angle_degrees":158.507915,"arc_sweep_degrees":158.507915,"ray_endpoints":[[290.6601,199.0929],[459.0133,364.0417]],"vertex":[346.02,283.86]}],"canvas_size":[474,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1393","image_path":"images/angle_estimation_1393.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1393_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1393_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_1393_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1393_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1393_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1393}
+{"angle_1_degrees":81.842893,"angle_2_degrees":131.80082,"angles":[{"angle_degrees":81.842893,"arc_sweep_degrees":81.842893,"ray_endpoints":[[15.4164,276.7159],[90.8121,125.0038]],"vertex":[128.25,262.77]},{"angle_degrees":131.80082,"arc_sweep_degrees":131.80082,"ray_endpoints":[[423.6975,205.3924],[336.5575,377.2013]],"vertex":[346.75,262.77]}],"canvas_size":[475,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1394","image_path":"images/angle_estimation_1394.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1394_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1394_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1394_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1394_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1394_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1394}
+{"angle_1_degrees":17.052881,"angle_2_degrees":82.335965,"angles":[{"angle_degrees":17.052881,"arc_sweep_degrees":17.052881,"ray_endpoints":[[41.8634,228.1153],[45.4343,195.6622]],"vertex":[132.84,259.92]},{"angle_degrees":82.335965,"arc_sweep_degrees":82.335965,"ray_endpoints":[[436.2924,277.9711],[348.8396,366.9507]],"vertex":[359.16,259.92]}],"canvas_size":[492,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1395","image_path":"images/angle_estimation_1395.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1395_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1395_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1395_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1395_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1395_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1395}
+{"canvas_size":[454,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1396","image_path":"images/angle_estimation_1396.png","interior_angles_degrees":[71.598338,35.511243,72.890419],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1396_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1396_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1396_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1396_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1396_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1396,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,354.6895],[399.0,354.6895],[120.9983,156.3105]]}
+{"canvas_size":[454,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1397","image_path":"images/angle_estimation_1397.png","interior_angles_degrees":[54.962937,58.82527,66.211793],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1397_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1397_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1397_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1397_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1397_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1397,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,381.6806],[399.0,381.6806],[239.6615,118.3194]]}
+{"canvas_size":[471,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1398","image_path":"images/angle_estimation_1398.png","interior_angles_degrees":[54.124387,42.071127,83.804485],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1398_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1398_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1398_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1398_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1398_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1398,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,348.576],[416.0,348.576],[197.5864,151.424]]}
+{"canvas_size":[483,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1399","image_path":"images/angle_estimation_1399.png","interior_angles_degrees":[67.482536,46.646374,65.87109],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1399_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1399_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1399_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1399_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1399_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1399,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,384.7644],[428.0,384.7644],[168.8116,110.2356]]}
+{"canvas_size":[460,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1400","image_path":"images/angle_estimation_1400.png","interior_angles_degrees":[69.88006,56.139075,53.980865],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1400_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1400_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1400_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1400_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1400_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1400,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,430.2031],[405.0,430.2031],[178.6063,92.7969]]}
+{"angle_degrees":314.799653,"arc_sweep_degrees":314.799653,"canvas_size":[496,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1401","image_path":"images/angle_estimation_1401.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1401_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_1401_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1401_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"135","question_id":"angle_estimation_1401_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1401_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[300.2724,98.7733],[188.3541,130.0428]],"scene_type":"single","seed":1401,"vertex":[248.0,251.0]}
+{"angle_degrees":17.679862,"arc_sweep_degrees":17.679862,"canvas_size":[489,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1402","image_path":"images/angle_estimation_1402.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1402_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_1402_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1402_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"162","question_id":"angle_estimation_1402_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1402_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[260.8103,131.4521],[297.9357,143.1821]],"scene_type":"single","seed":1402,"vertex":[244.5,257.5]}
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+{"angle_degrees":48.230871,"arc_sweep_degrees":48.230871,"canvas_size":[481,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1408","image_path":"images/angle_estimation_1408.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1408_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_1408_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1408_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"132","question_id":"angle_estimation_1408_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1408_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[147.9466,138.0951],[255.027,134.8371]],"scene_type":"single","seed":1408,"vertex":[240.5,245.5]}
+{"angle_1_degrees":17.394028,"angle_2_degrees":164.549082,"angles":[{"angle_degrees":17.394028,"arc_sweep_degrees":17.394028,"ray_endpoints":[[62.1833,334.5878],[12.2168,332.0609]],"vertex":[122.04,275.31]},{"angle_degrees":164.549082,"arc_sweep_degrees":164.549082,"ray_endpoints":[[342.1023,161.2056],[352.6278,412.5814]],"vertex":[329.96,275.31]}],"canvas_size":[452,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1409","image_path":"images/angle_estimation_1409.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1409_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1409_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"150","question_id":"angle_estimation_1409_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1409_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1409_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1409}
+{"angle_1_degrees":71.697844,"angle_2_degrees":134.62527,"angles":[{"angle_degrees":71.697844,"arc_sweep_degrees":71.697844,"ray_endpoints":[[117.2112,350.2428],[16.999,292.0341]],"vertex":[126.36,269.04]},{"angle_degrees":134.62527,"arc_sweep_degrees":134.62527,"ray_endpoints":[[413.6963,229.5379],[306.019,394.1448]],"vertex":[341.64,269.04]}],"canvas_size":[468,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1410","image_path":"images/angle_estimation_1410.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1410_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1410_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1410_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1410_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1410_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1410}
+{"angle_1_degrees":37.603584,"angle_2_degrees":51.22385,"angles":[{"angle_degrees":37.603584,"arc_sweep_degrees":37.603584,"ray_endpoints":[[194.054,310.143],[164.3943,397.5132]],"vertex":[134.46,259.92]},{"angle_degrees":51.22385,"arc_sweep_degrees":51.22385,"ray_endpoints":[[442.2313,329.4671],[358.1615,374.2257]],"vertex":[363.54,259.92]}],"canvas_size":[498,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1411","image_path":"images/angle_estimation_1411.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1411_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1411_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1411_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1411_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1411_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1411}
+{"angle_1_degrees":100.753453,"angle_2_degrees":70.713053,"angles":[{"angle_degrees":100.753453,"arc_sweep_degrees":100.753453,"ray_endpoints":[[64.3251,325.6061],[49.1636,144.8942]],"vertex":[129.6,257.07]},{"angle_degrees":70.713053,"arc_sweep_degrees":70.713053,"ray_endpoints":[[304.9376,169.4788],[446.0914,155.4623]],"vertex":[350.4,257.07]}],"canvas_size":[480,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1412","image_path":"images/angle_estimation_1412.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1412_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1412_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1412_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1412_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1412_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1412}
+{"angle_1_degrees":26.270936,"angle_2_degrees":81.101024,"angles":[{"angle_degrees":26.270936,"arc_sweep_degrees":26.270936,"ray_endpoints":[[59.8273,327.3322],[15.3632,296.6553]],"vertex":[129.33,273.6]},{"angle_degrees":81.101024,"arc_sweep_degrees":81.101024,"ray_endpoints":[[252.5324,256.0405],[353.0236,131.051]],"vertex":[349.67,273.6]}],"canvas_size":[479,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1413","image_path":"images/angle_estimation_1413.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1413_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1413_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1413_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1413_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1413_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1413}
+{"angle_1_degrees":15.58582,"angle_2_degrees":69.899103,"angles":[{"angle_degrees":15.58582,"arc_sweep_degrees":15.58582,"ray_endpoints":[[102.3139,386.4592],[62.1247,401.3681]],"vertex":[123.66,280.44]},{"angle_degrees":69.899103,"arc_sweep_degrees":69.899103,"ray_endpoints":[[273.3126,185.4878],[409.3571,181.4995]],"vertex":[334.34,280.44]}],"canvas_size":[458,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1414","image_path":"images/angle_estimation_1414.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1414_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1414_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1414_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1414_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1414_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1414}
+{"angle_1_degrees":61.338561,"angle_2_degrees":118.764246,"angles":[{"angle_degrees":61.338561,"arc_sweep_degrees":61.338561,"ray_endpoints":[[221.2867,226.9996],[228.5808,338.6514]],"vertex":[130.68,283.29]},{"angle_degrees":118.764246,"arc_sweep_degrees":118.764246,"ray_endpoints":[[267.2205,357.8277],[329.4091,171.9359]],"vertex":[353.32,283.29]}],"canvas_size":[484,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1415","image_path":"images/angle_estimation_1415.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1415_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1415_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1415_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1415_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1415_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1415}
+{"canvas_size":[456,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1416","image_path":"images/angle_estimation_1416.png","interior_angles_degrees":[89.879189,45.069894,45.050918],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1416_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1416_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1416_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1416_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1416_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1416,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[55.0,433.5568],[401.0,433.5568],[55.7298,87.4432]]}
+{"canvas_size":[470,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1417","image_path":"images/angle_estimation_1417.png","interior_angles_degrees":[90.841938,33.404541,55.753521],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1417_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1417_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1417_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1417_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1417_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1417,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[58.489,381.2086],[415.0,381.2086],[55.0,143.7914]]}
+{"canvas_size":[499,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1418","image_path":"images/angle_estimation_1418.png","interior_angles_degrees":[90.80341,42.935225,46.261364],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1418_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1418_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1418_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1418_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1418_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1418,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[65.7943,416.0],[438.1278,416.0],[60.8722,65.0]]}
+{"canvas_size":[486,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1419","image_path":"images/angle_estimation_1419.png","interior_angles_degrees":[88.960017,28.242127,62.797856],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1419_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1419_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1419_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1419_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1419_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1419,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,356.0076],[431.0,356.0076],[58.6309,155.9924]]}
+{"canvas_size":[496,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1420","image_path":"images/angle_estimation_1420.png","interior_angles_degrees":[89.701219,24.297091,66.00169],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1420_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1420_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1420_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1420_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1420_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1420,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,339.9264],[441.0,339.9264],[55.9066,166.0736]]}
+{"angle_degrees":71.08776,"arc_sweep_degrees":71.08776,"canvas_size":[453,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1421","image_path":"images/angle_estimation_1421.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1421_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1421_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1421_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"109","question_id":"angle_estimation_1421_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1421_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[101.8326,194.5256],[240.2405,138.9052]],"scene_type":"single","seed":1421,"vertex":[226.5,254.5]}
+{"angle_degrees":159.955028,"arc_sweep_degrees":159.955028,"canvas_size":[463,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1422","image_path":"images/angle_estimation_1422.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1422_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1422_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1422_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"20","question_id":"angle_estimation_1422_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1422_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[104.4714,357.6069],[284.7274,160.6054]],"scene_type":"single","seed":1422,"vertex":[231.5,252.0]}
+{"angle_degrees":25.439049,"arc_sweep_degrees":25.439049,"canvas_size":[478,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1423","image_path":"images/angle_estimation_1423.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1423_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_1423_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1423_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"155","question_id":"angle_estimation_1423_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1423_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[130.8031,377.9567],[92.815,316.9316]],"scene_type":"single","seed":1423,"vertex":[239.0,252.5]}
+{"angle_degrees":241.646786,"arc_sweep_degrees":241.646786,"canvas_size":[453,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1424","image_path":"images/angle_estimation_1424.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1424_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_1424_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1424_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"62","question_id":"angle_estimation_1424_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1424_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[379.5142,221.3053],[145.5839,155.6433]],"scene_type":"single","seed":1424,"vertex":[226.5,252.5]}
+{"angle_degrees":89.999982,"arc_sweep_degrees":89.999982,"canvas_size":[470,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1425","image_path":"images/angle_estimation_1425.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"right","question_id":"angle_estimation_1425_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_1425_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"approximately equal to","question_id":"angle_estimation_1425_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"90","question_id":"angle_estimation_1425_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1425_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[158.5558,83.4149],[343.0599,183.2151]],"scene_type":"single","seed":1425,"vertex":[235.0,237.0]}
+{"angle_degrees":83.936972,"arc_sweep_degrees":83.936972,"canvas_size":[455,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1426","image_path":"images/angle_estimation_1426.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1426_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_1426_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1426_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"96","question_id":"angle_estimation_1426_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1426_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[164.4644,365.7073],[98.1942,199.3078]],"scene_type":"single","seed":1426,"vertex":[227.5,257.0]}
+{"angle_degrees":239.375298,"arc_sweep_degrees":239.375298,"canvas_size":[498,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1427","image_path":"images/angle_estimation_1427.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1427_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_1427_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1427_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"59","question_id":"angle_estimation_1427_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1427_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[301.6657,102.1584],[134.4486,255.7387]],"scene_type":"single","seed":1427,"vertex":[249.0,237.0]}
+{"angle_degrees":231.375343,"arc_sweep_degrees":231.375343,"canvas_size":[483,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1428","image_path":"images/angle_estimation_1428.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1428_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_1428_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1428_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"51","question_id":"angle_estimation_1428_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1428_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[140.6267,339.6824],[386.2911,280.3644]],"scene_type":"single","seed":1428,"vertex":[241.5,253.0]}
+{"angle_1_degrees":165.259325,"angle_2_degrees":49.238602,"angles":[{"angle_degrees":165.259325,"arc_sweep_degrees":165.259325,"ray_endpoints":[[61.8199,324.583],[198.0714,172.9546]],"vertex":[123.39,274.74]},{"angle_degrees":49.238602,"arc_sweep_degrees":49.238602,"ray_endpoints":[[320.5491,175.9474],[414.708,183.7415]],"vertex":[333.61,274.74]}],"canvas_size":[457,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1429","image_path":"images/angle_estimation_1429.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1429_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1429_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_1429_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1429_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1429_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1429}
+{"angle_1_degrees":80.829127,"angle_2_degrees":12.658269,"angles":[{"angle_degrees":80.829127,"arc_sweep_degrees":80.829127,"ray_endpoints":[[102.0638,380.1895],[12.872,271.0512]],"vertex":[126.36,279.87]},{"angle_degrees":12.658269,"arc_sweep_degrees":12.658269,"ray_endpoints":[[382.1732,359.6019],[375.7788,413.9085]],"vertex":[341.64,279.87]}],"canvas_size":[468,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1430","image_path":"images/angle_estimation_1430.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1430_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1430_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1430_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1430_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1430_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1430}
+{"angle_1_degrees":100.509615,"angle_2_degrees":77.302456,"angles":[{"angle_degrees":100.509615,"arc_sweep_degrees":100.509615,"ray_endpoints":[[224.2617,238.5325],[137.1009,367.258]],"vertex":[130.41,262.2]},{"angle_degrees":77.302456,"arc_sweep_degrees":77.302456,"ray_endpoints":[[444.4944,323.537],[301.7653,394.4538]],"vertex":[352.59,262.2]}],"canvas_size":[483,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1431","image_path":"images/angle_estimation_1431.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1431_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1431_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1431_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1431_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1431_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1431}
+{"angle_1_degrees":169.52102,"angle_2_degrees":33.999767,"angles":[{"angle_degrees":169.52102,"arc_sweep_degrees":169.52102,"ray_endpoints":[[64.2033,199.2207],[223.8001,317.2921]],"vertex":[129.6,258.78]},{"angle_degrees":33.999767,"arc_sweep_degrees":33.999767,"ray_endpoints":[[399.5282,317.5823],[364.8208,398.8449]],"vertex":[350.4,258.78]}],"canvas_size":[480,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1432","image_path":"images/angle_estimation_1432.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1432_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1432_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_1432_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1432_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1432_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1432}
+{"angle_1_degrees":69.161009,"angle_2_degrees":15.804964,"angles":[{"angle_degrees":69.161009,"arc_sweep_degrees":69.161009,"ray_endpoints":[[205.1775,291.2082],[127.9041,380.0602]],"vertex":[133.92,259.92]},{"angle_degrees":15.804964,"arc_sweep_degrees":15.804964,"ray_endpoints":[[294.6461,195.484],[290.4281,138.2664]],"vertex":[362.08,259.92]}],"canvas_size":[496,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1433","image_path":"images/angle_estimation_1433.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1433_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1433_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1433_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1433_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1433_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1433}
+{"angle_1_degrees":166.234534,"angle_2_degrees":16.063566,"angles":[{"angle_degrees":166.234534,"arc_sweep_degrees":166.234534,"ray_endpoints":[[176.1616,373.9732],[38.3074,182.2925]],"vertex":[121.5,273.6]},{"angle_degrees":16.063566,"arc_sweep_degrees":16.063566,"ray_endpoints":[[351.6885,349.4046],[330.5877,400.1376]],"vertex":[328.5,273.6]}],"canvas_size":[450,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1434","image_path":"images/angle_estimation_1434.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1434_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1434_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"150","question_id":"angle_estimation_1434_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1434_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1434_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1434}
+{"angle_1_degrees":62.826624,"angle_2_degrees":85.583374,"angles":[{"angle_degrees":62.826624,"arc_sweep_degrees":62.826624,"ray_endpoints":[[209.903,304.2498],[146.576,384.8019]],"vertex":[126.36,279.87]},{"angle_degrees":85.583374,"arc_sweep_degrees":85.583374,"ray_endpoints":[[439.783,277.039],[356.4795,419.4436]],"vertex":[341.64,279.87]}],"canvas_size":[468,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1435","image_path":"images/angle_estimation_1435.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1435_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1435_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1435_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1435_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1435_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1435}
+{"canvas_size":[500,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1436","image_path":"images/angle_estimation_1436.png","interior_angles_degrees":[124.416659,23.814499,31.768842],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1436_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1436_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1436_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1436_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1436_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1436,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[172.9323,336.0642],[445.0,336.0642],[55.0,163.9358]]}
+{"canvas_size":[463,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1437","image_path":"images/angle_estimation_1437.png","interior_angles_degrees":[107.969864,28.953034,43.077102],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1437_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1437_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1437_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1437_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1437_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1437,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[118.341,362.1465],[408.0,362.1465],[55.0,166.8535]]}
+{"canvas_size":[478,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1438","image_path":"images/angle_estimation_1438.png","interior_angles_degrees":[102.501245,33.850788,43.647967],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1438_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1438_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1438_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1438_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1438_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1438,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[109.7259,386.9136],[423.0,386.9136],[55.0,140.0864]]}
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+{"angle_1_degrees":108.445198,"angle_2_degrees":64.501149,"angles":[{"angle_degrees":108.445198,"arc_sweep_degrees":108.445198,"ray_endpoints":[[188.9593,328.5743],[35.6697,319.7214]],"vertex":[130.95,271.32]},{"angle_degrees":64.501149,"arc_sweep_degrees":64.501149,"ray_endpoints":[[275.518,296.4442],[267.8874,179.6929]],"vertex":[354.05,271.32]}],"canvas_size":[485,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1450","image_path":"images/angle_estimation_1450.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1450_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1450_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1450_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1450_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1450_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1450}
+{"angle_1_degrees":44.563449,"angle_2_degrees":112.537116,"angles":[{"angle_degrees":44.563449,"arc_sweep_degrees":44.563449,"ray_endpoints":[[95.9558,181.9523],[181.63,148.6864]],"vertex":[127.44,267.9]},{"angle_degrees":112.537116,"arc_sweep_degrees":112.537116,"ray_endpoints":[[265.0223,202.4304],[458.4943,207.3094]],"vertex":[344.56,267.9]}],"canvas_size":[472,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1451","image_path":"images/angle_estimation_1451.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1451_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1451_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1451_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1451_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1451_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1451}
+{"angle_1_degrees":24.667574,"angle_2_degrees":54.416382,"angles":[{"angle_degrees":24.667574,"arc_sweep_degrees":24.667574,"ray_endpoints":[[215.167,315.2226],[187.9533,353.3897]],"vertex":[126.09,259.92]},{"angle_degrees":54.416382,"arc_sweep_degrees":54.416382,"ray_endpoints":[[261.994,252.6077],[270.7695,139.8396]],"vertex":[340.91,259.92]}],"canvas_size":[467,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1452","image_path":"images/angle_estimation_1452.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1452_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1452_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1452_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1452_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1452_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1452}
+{"angle_1_degrees":131.190179,"angle_2_degrees":42.322294,"angles":[{"angle_degrees":131.190179,"arc_sweep_degrees":131.190179,"ray_endpoints":[[199.8697,291.8572],[28.6885,335.2356]],"vertex":[126.36,271.32]},{"angle_degrees":42.322294,"arc_sweep_degrees":42.322294,"ray_endpoints":[[421.4228,279.7684],[433.847,375.0547]],"vertex":[341.64,271.32]}],"canvas_size":[468,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1453","image_path":"images/angle_estimation_1453.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1453_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1453_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1453_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1453_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1453_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1453}
+{"angle_1_degrees":112.889612,"angle_2_degrees":150.369915,"angles":[{"angle_degrees":112.889612,"arc_sweep_degrees":112.889612,"ray_endpoints":[[36.2424,233.2775],[221.402,170.5432]],"vertex":[133.92,267.33]},{"angle_degrees":150.369915,"arc_sweep_degrees":150.369915,"ray_endpoints":[[399.4303,172.5061],[377.8344,377.5979]],"vertex":[362.08,267.33]}],"canvas_size":[496,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1454","image_path":"images/angle_estimation_1454.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1454_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1454_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1454_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1454_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1454_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1454}
+{"angle_1_degrees":58.596,"angle_2_degrees":38.628286,"angles":[{"angle_degrees":58.596,"arc_sweep_degrees":58.596,"ray_endpoints":[[224.6048,312.9748],[131.5,378.0619]],"vertex":[130.68,256.5]},{"angle_degrees":38.628286,"arc_sweep_degrees":38.628286,"ray_endpoints":[[256.7572,201.2998],[311.3468,150.5809]],"vertex":[353.32,256.5]}],"canvas_size":[484,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1455","image_path":"images/angle_estimation_1455.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1455_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1455_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1455_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1455_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1455_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1455}
+{"canvas_size":[479,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1456","image_path":"images/angle_estimation_1456.png","interior_angles_degrees":[61.927216,39.901059,78.171725],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1456_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1456_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1456_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1456_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1456_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1456,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,351.1917],[424.0,351.1917],[168.8059,137.8083]]}
+{"canvas_size":[471,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1457","image_path":"images/angle_estimation_1457.png","interior_angles_degrees":[63.411988,36.55171,80.036302],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1457_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1457_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1457_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1457_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1457_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1457,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,338.6005],[416.0,338.6005],[152.6983,143.3995]]}
+{"canvas_size":[458,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1458","image_path":"images/angle_estimation_1458.png","interior_angles_degrees":[64.682562,57.982079,57.335359],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1458_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1458_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1458_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1458_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1458_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1458,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,403.4159],[403.0,403.4159],[204.8837,86.5841]]}
+{"canvas_size":[476,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1459","image_path":"images/angle_estimation_1459.png","interior_angles_degrees":[49.774762,52.057023,78.168215],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1459_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1459_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1459_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1459_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1459_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1459,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,355.5804],[421.0,355.5804],[245.4457,130.4196]]}
+{"canvas_size":[493,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1460","image_path":"images/angle_estimation_1460.png","interior_angles_degrees":[52.462809,47.595951,79.941239],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1460_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1460_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1460_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1460_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1460_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1460,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,365.8787],[438.0,365.8787],[229.9994,138.1213]]}
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+{"angle_1_degrees":33.934511,"angle_2_degrees":64.394579,"angles":[{"angle_degrees":33.934511,"arc_sweep_degrees":33.934511,"ray_endpoints":[[126.3444,183.8081],[207.8155,144.4268]],"vertex":[123.93,261.06]},{"angle_degrees":64.394579,"arc_sweep_degrees":64.394579,"ray_endpoints":[[273.0289,200.1491],[380.8194,127.1924]],"vertex":[335.07,261.06]}],"canvas_size":[459,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1471","image_path":"images/angle_estimation_1471.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1471_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1471_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1471_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1471_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1471_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1471}
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+{"angle_1_degrees":157.44205,"angle_2_degrees":97.689794,"angles":[{"angle_degrees":157.44205,"arc_sweep_degrees":157.44205,"ray_endpoints":[[52.9659,314.4395],[201.7039,190.1346]],"vertex":[123.12,279.87]},{"angle_degrees":97.689794,"arc_sweep_degrees":97.689794,"ray_endpoints":[[247.1522,224.4611],[407.22,193.0312]],"vertex":[332.88,279.87]}],"canvas_size":[456,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1473","image_path":"images/angle_estimation_1473.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1473_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1473_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1473_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1473_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1473_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1473}
+{"angle_1_degrees":26.166112,"angle_2_degrees":68.116807,"angles":[{"angle_degrees":26.166112,"arc_sweep_degrees":26.166112,"ray_endpoints":[[134.7854,178.1153],[202.3977,152.3679]],"vertex":[122.31,272.46]},{"angle_degrees":68.116807,"arc_sweep_degrees":68.116807,"ray_endpoints":[[254.7068,307.9409],[243.6467,191.0455]],"vertex":[330.69,272.46]}],"canvas_size":[453,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1474","image_path":"images/angle_estimation_1474.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1474_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1474_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1474_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1474_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1474_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1474}
+{"angle_1_degrees":36.660437,"angle_2_degrees":151.284449,"angles":[{"angle_degrees":36.660437,"arc_sweep_degrees":36.660437,"ray_endpoints":[[58.393,204.0308],[114.1117,162.4392]],"vertex":[123.39,278.16]},{"angle_degrees":151.284449,"arc_sweep_degrees":151.284449,"ray_endpoints":[[330.5558,382.6095],[277.3845,168.0045]],"vertex":[333.61,278.16]}],"canvas_size":[457,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1475","image_path":"images/angle_estimation_1475.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1475_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1475_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_1475_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1475_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1475_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1475}
+{"canvas_size":[485,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1476","image_path":"images/angle_estimation_1476.png","interior_angles_degrees":[89.228502,49.905926,40.865572],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1476_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1476_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1476_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1476_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1476_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1476,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[92.8107,415.0],[392.1893,415.0],[97.5238,65.0]]}
+{"canvas_size":[494,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1477","image_path":"images/angle_estimation_1477.png","interior_angles_degrees":[89.816909,43.050738,47.132353],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1477_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1477_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1477_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1477_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1477_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1477,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,434.3272],[439.0,434.3272],[56.1429,76.6728]]}
+{"canvas_size":[487,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1478","image_path":"images/angle_estimation_1478.png","interior_angles_degrees":[90.389042,33.324421,56.286536],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1478_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1478_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1478_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1478_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1478_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1478,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.6831,386.9364],[432.0,386.9364],[55.0,139.0636]]}
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+{"canvas_size":[495,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1480","image_path":"images/angle_estimation_1480.png","interior_angles_degrees":[89.460648,46.38791,44.151441],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1480_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1480_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1480_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1480_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1480_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1480,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[58.4467,458.0],[436.5533,458.0],[62.1463,65.0]]}
+{"angle_degrees":322.015508,"arc_sweep_degrees":322.015508,"canvas_size":[451,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1481","image_path":"images/angle_estimation_1481.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1481_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_1481_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1481_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"142","question_id":"angle_estimation_1481_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1481_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[343.2279,190.6969],[272.5939,150.2808]],"scene_type":"single","seed":1481,"vertex":[225.5,250.0]}
+{"angle_degrees":139.938874,"arc_sweep_degrees":139.938874,"canvas_size":[455,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1482","image_path":"images/angle_estimation_1482.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1482_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1482_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1482_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"40","question_id":"angle_estimation_1482_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1482_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[187.8217,132.1226],[327.6162,320.3198]],"scene_type":"single","seed":1482,"vertex":[227.5,257.0]}
+{"angle_degrees":286.683854,"arc_sweep_degrees":286.683854,"canvas_size":[489,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1483","image_path":"images/angle_estimation_1483.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1483_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_1483_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1483_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"107","question_id":"angle_estimation_1483_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1483_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[198.1459,363.328],[346.9845,319.4608]],"scene_type":"single","seed":1483,"vertex":[244.5,241.0]}
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+{"angle_degrees":51.934297,"arc_sweep_degrees":51.934297,"canvas_size":[461,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1487","image_path":"images/angle_estimation_1487.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1487_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_1487_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1487_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"128","question_id":"angle_estimation_1487_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1487_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[69.237,292.248],[145.1314,185.9603]],"scene_type":"single","seed":1487,"vertex":[230.5,254.5]}
+{"angle_degrees":58.812165,"arc_sweep_degrees":58.812165,"canvas_size":[467,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1488","image_path":"images/angle_estimation_1488.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1488_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1488_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1488_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"121","question_id":"angle_estimation_1488_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1488_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[196.6072,387.331],[104.854,292.393]],"scene_type":"single","seed":1488,"vertex":[233.5,257.0]}
+{"angle_1_degrees":12.381634,"angle_2_degrees":113.936032,"angles":[{"angle_degrees":12.381634,"arc_sweep_degrees":12.381634,"ray_endpoints":[[94.3415,346.6224],[62.018,360.1564]],"vertex":[128.79,273.03]},{"angle_degrees":113.936032,"arc_sweep_degrees":113.936032,"ray_endpoints":[[418.6982,303.2895],[267.3537,347.9847]],"vertex":[348.21,273.03]}],"canvas_size":[477,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1489","image_path":"images/angle_estimation_1489.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1489_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1489_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1489_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1489_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1489_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1489}
+{"angle_1_degrees":53.007445,"angle_2_degrees":37.644723,"angles":[{"angle_degrees":53.007445,"arc_sweep_degrees":53.007445,"ray_endpoints":[[220.1858,342.2824],[128.1255,390.1028]],"vertex":[130.41,271.89]},{"angle_degrees":37.644723,"arc_sweep_degrees":37.644723,"ray_endpoints":[[281.4133,228.1244],[304.2823,144.508]],"vertex":[352.59,271.89]}],"canvas_size":[483,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1490","image_path":"images/angle_estimation_1490.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1490_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1490_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1490_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1490_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1490_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1490}
+{"angle_1_degrees":148.40421,"angle_2_degrees":26.118718,"angles":[{"angle_degrees":148.40421,"arc_sweep_degrees":148.40421,"ray_endpoints":[[134.7699,174.6086],[182.1801,378.6027]],"vertex":[125.28,256.5]},{"angle_degrees":26.118718,"arc_sweep_degrees":26.118718,"ray_endpoints":[[302.0322,167.1393],[346.4341,140.288]],"vertex":[338.72,256.5]}],"canvas_size":[464,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1491","image_path":"images/angle_estimation_1491.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1491_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1491_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_1491_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1491_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1491_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1491}
+{"angle_1_degrees":132.631053,"angle_2_degrees":153.449714,"angles":[{"angle_degrees":132.631053,"arc_sweep_degrees":132.631053,"ray_endpoints":[[222.2047,253.373],[53.7212,362.1658]],"vertex":[132.03,261.06]},{"angle_degrees":153.449714,"arc_sweep_degrees":153.449714,"ray_endpoints":[[296.4885,353.7775],[372.1692,129.0299]],"vertex":[356.97,261.06]}],"canvas_size":[489,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1492","image_path":"images/angle_estimation_1492.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1492_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1492_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1492_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1492_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1492_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1492}
+{"angle_1_degrees":74.025959,"angle_2_degrees":26.986282,"angles":[{"angle_degrees":74.025959,"arc_sweep_degrees":74.025959,"ray_endpoints":[[44.2907,267.2311],[87.8229,149.5253]],"vertex":[125.01,264.48]},{"angle_degrees":26.986282,"arc_sweep_degrees":26.986282,"ray_endpoints":[[427.2269,295.5434],[433.1066,363.595]],"vertex":[337.99,264.48]}],"canvas_size":[463,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1493","image_path":"images/angle_estimation_1493.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1493_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1493_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1493_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1493_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1493_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1493}
+{"angle_1_degrees":15.28316,"angle_2_degrees":152.700945,"angles":[{"angle_degrees":15.28316,"arc_sweep_degrees":15.28316,"ray_endpoints":[[192.2458,348.5041],[164.9413,360.7188]],"vertex":[124.47,257.64]},{"angle_degrees":152.700945,"arc_sweep_degrees":152.700945,"ray_endpoints":[[328.5866,371.3391],[294.3027,159.6019]],"vertex":[336.53,257.64]}],"canvas_size":[461,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1494","image_path":"images/angle_estimation_1494.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1494_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1494_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_1494_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1494_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1494_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1494}
+{"angle_1_degrees":119.347824,"angle_2_degrees":149.181292,"angles":[{"angle_degrees":119.347824,"arc_sweep_degrees":119.347824,"ray_endpoints":[[160.9004,358.2023],[22.5461,267.5631]],"vertex":[128.79,280.44]},{"angle_degrees":149.181292,"arc_sweep_degrees":149.181292,"ray_endpoints":[[407.7072,224.2192],[312.6238,406.1729]],"vertex":[348.21,280.44]}],"canvas_size":[477,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1495","image_path":"images/angle_estimation_1495.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1495_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1495_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1495_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1495_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1495_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1495}
+{"canvas_size":[454,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1496","image_path":"images/angle_estimation_1496.png","interior_angles_degrees":[134.979092,18.628692,26.392216],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1496_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1496_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1496_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1496_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1496_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1496,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[170.876,297.9803],[399.0,297.9803],[55.0,182.0197]]}
+{"canvas_size":[455,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1497","image_path":"images/angle_estimation_1497.png","interior_angles_degrees":[103.579095,28.990239,47.430666],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1497_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1497_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1497_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1497_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1497_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1497,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[101.1726,339.0799],[400.0,339.0799],[55.0,147.9201]]}
+{"canvas_size":[459,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1498","image_path":"images/angle_estimation_1498.png","interior_angles_degrees":[109.799669,37.502943,32.697388],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1498_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1498_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1498_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1498_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1498_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1498,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[151.4214,387.9128],[404.0,387.9128],[55.0,120.0872]]}
+{"canvas_size":[472,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1499","image_path":"images/angle_estimation_1499.png","interior_angles_degrees":[121.69533,33.648394,24.656276],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1499_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1499_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1499_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1499_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1499_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1499,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[203.7886,375.4766],[417.0,375.4766],[55.0,134.5234]]}
+{"canvas_size":[469,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1500","image_path":"images/angle_estimation_1500.png","interior_angles_degrees":[112.229603,25.179903,42.590493],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1500_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1500_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1500_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1500_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1500_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1500,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[123.9791,325.8894],[414.0,325.8894],[55.0,157.1106]]}
+{"angle_degrees":154.748754,"arc_sweep_degrees":154.748754,"canvas_size":[490,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1501","image_path":"images/angle_estimation_1501.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1501_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1501_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1501_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"25","question_id":"angle_estimation_1501_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1501_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[345.4421,165.0679],[181.508,370.8634]],"scene_type":"single","seed":1501,"vertex":[245.0,244.0]}
+{"angle_degrees":212.269367,"arc_sweep_degrees":212.269367,"canvas_size":[460,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1502","image_path":"images/angle_estimation_1502.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1502_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_1502_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1502_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"32","question_id":"angle_estimation_1502_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1502_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[318.0953,146.9553],[105.706,294.2345]],"scene_type":"single","seed":1502,"vertex":[230.0,253.5]}
+{"angle_degrees":321.014283,"arc_sweep_degrees":321.014283,"canvas_size":[479,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1503","image_path":"images/angle_estimation_1503.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1503_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_1503_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1503_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"141","question_id":"angle_estimation_1503_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1503_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[145.4549,363.7612],[243.081,375.0128]],"scene_type":"single","seed":1503,"vertex":[239.5,241.0]}
+{"angle_degrees":58.05012,"arc_sweep_degrees":58.05012,"canvas_size":[476,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1504","image_path":"images/angle_estimation_1504.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1504_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1504_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1504_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"122","question_id":"angle_estimation_1504_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1504_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[229.151,98.6078],[346.0335,178.2944]],"scene_type":"single","seed":1504,"vertex":[238.0,254.5]}
+{"angle_degrees":29.999983,"arc_sweep_degrees":29.999983,"canvas_size":[457,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1505","image_path":"images/angle_estimation_1505.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1505_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_1505_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1505_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_1505_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1505_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[394.5291,302.1867],[327.3959,356.6754]],"scene_type":"single","seed":1505,"vertex":[228.5,257.0]}
+{"angle_degrees":206.475952,"arc_sweep_degrees":206.475952,"canvas_size":[461,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1506","image_path":"images/angle_estimation_1506.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1506_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_1506_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1506_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"26","question_id":"angle_estimation_1506_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1506_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[340.7764,120.3369],[128.3386,296.5816]],"scene_type":"single","seed":1506,"vertex":[230.5,252.0]}
+{"angle_degrees":138.403289,"arc_sweep_degrees":138.403289,"canvas_size":[452,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1507","image_path":"images/angle_estimation_1507.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1507_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1507_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1507_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"42","question_id":"angle_estimation_1507_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1507_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[378.1921,250.0639],[134.6666,350.1965]],"scene_type":"single","seed":1507,"vertex":[226.0,259.0]}
+{"angle_degrees":190.492648,"arc_sweep_degrees":190.492648,"canvas_size":[469,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1508","image_path":"images/angle_estimation_1508.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1508_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_1508_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1508_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"10","question_id":"angle_estimation_1508_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1508_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[366.4533,232.2317],[107.0111,253.4362]],"scene_type":"single","seed":1508,"vertex":[234.5,255.0]}
+{"angle_1_degrees":17.516968,"angle_2_degrees":81.138331,"angles":[{"angle_degrees":17.516968,"arc_sweep_degrees":17.516968,"ray_endpoints":[[132.551,360.8501],[98.8262,403.7294]],"vertex":[126.09,283.29]},{"angle_degrees":81.138331,"arc_sweep_degrees":81.138331,"ray_endpoints":[[256.938,242.2473],[373.0831,179.2666]],"vertex":[340.91,283.29]}],"canvas_size":[467,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1509","image_path":"images/angle_estimation_1509.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1509_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1509_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1509_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1509_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1509_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1509}
+{"angle_1_degrees":71.966958,"angle_2_degrees":119.53346,"angles":[{"angle_degrees":71.966958,"arc_sweep_degrees":71.966958,"ray_endpoints":[[203.3792,245.0743],[205.0602,369.0499]],"vertex":[128.25,273.6]},{"angle_degrees":119.53346,"arc_sweep_degrees":119.53346,"ray_endpoints":[[289.6336,329.281],[310.7848,136.8731]],"vertex":[346.75,273.6]}],"canvas_size":[475,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1510","image_path":"images/angle_estimation_1510.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1510_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1510_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1510_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1510_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1510_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1510}
+{"angle_1_degrees":72.87201,"angle_2_degrees":162.385974,"angles":[{"angle_degrees":72.87201,"arc_sweep_degrees":72.87201,"ray_endpoints":[[200.8269,283.7064],[152.5765,385.1373]],"vertex":[124.47,281.01]},{"angle_degrees":162.385974,"arc_sweep_degrees":162.385974,"ray_endpoints":[[288.1491,361.771],[365.1849,159.8878]],"vertex":[336.53,281.01]}],"canvas_size":[461,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1511","image_path":"images/angle_estimation_1511.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1511_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1511_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1511_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1511_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1511_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1511}
+{"angle_1_degrees":36.974402,"angle_2_degrees":63.603252,"angles":[{"angle_degrees":36.974402,"arc_sweep_degrees":36.974402,"ray_endpoints":[[199.6767,355.942],[140.5122,406.608]],"vertex":[129.6,277.59]},{"angle_degrees":63.603252,"arc_sweep_degrees":63.603252,"ray_endpoints":[[442.7656,255.228],[436.0068,379.5892]],"vertex":[350.4,277.59]}],"canvas_size":[480,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1512","image_path":"images/angle_estimation_1512.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1512_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1512_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1512_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1512_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1512_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1512}
+{"angle_1_degrees":109.316254,"angle_2_degrees":63.947699,"angles":[{"angle_degrees":109.316254,"arc_sweep_degrees":109.316254,"ray_endpoints":[[205.7802,240.5331],[148.8842,388.9087]],"vertex":[130.68,282.15]},{"angle_degrees":63.947699,"arc_sweep_degrees":63.947699,"ray_endpoints":[[436.5237,263.285],[429.6342,376.9737]],"vertex":[353.32,282.15]}],"canvas_size":[484,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1513","image_path":"images/angle_estimation_1513.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1513_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1513_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1513_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1513_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1513_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1513}
+{"angle_1_degrees":97.021429,"angle_2_degrees":57.401099,"angles":[{"angle_degrees":97.021429,"arc_sweep_degrees":97.021429,"ray_endpoints":[[26.605,245.3931],[153.8716,153.9411]],"vertex":[121.5,261.63]},{"angle_degrees":57.401099,"arc_sweep_degrees":57.401099,"ray_endpoints":[[243.4801,191.9565],[342.9663,139.141]],"vertex":[328.5,261.63]}],"canvas_size":[450,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1514","image_path":"images/angle_estimation_1514.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1514_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1514_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1514_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1514_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1514_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1514}
+{"angle_1_degrees":44.395604,"angle_2_degrees":53.275013,"angles":[{"angle_degrees":44.395604,"arc_sweep_degrees":44.395604,"ray_endpoints":[[92.7247,361.876],[13.5079,316.3876]],"vertex":[133.92,267.9]},{"angle_degrees":53.275013,"arc_sweep_degrees":53.275013,"ray_endpoints":[[433.556,313.9088],[371.928,410.3126]],"vertex":[362.08,267.9]}],"canvas_size":[496,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1515","image_path":"images/angle_estimation_1515.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1515_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1515_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1515_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1515_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1515_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1515}
+{"canvas_size":[464,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1516","image_path":"images/angle_estimation_1516.png","interior_angles_degrees":[57.41087,68.067724,54.521406],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1516_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1516_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_1516_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1516_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1516_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1516,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,410.8801],[409.0,410.8801],[272.1949,71.1199]]}
+{"canvas_size":[475,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1517","image_path":"images/angle_estimation_1517.png","interior_angles_degrees":[71.092309,60.833598,48.074094],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1517_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1517_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1517_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1517_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1517_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1517,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[65.9284,446.0],[409.0716,446.0],[196.431,65.0]]}
+{"canvas_size":[462,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1518","image_path":"images/angle_estimation_1518.png","interior_angles_degrees":[49.861109,56.179297,73.959594],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1518_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1518_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1518_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1518_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1518_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1518,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,371.8095],[407.0,371.8095],[251.1534,139.1905]]}
+{"canvas_size":[465,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1519","image_path":"images/angle_estimation_1519.png","interior_angles_degrees":[63.373459,57.026163,59.600377],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1519_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1519_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1519_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1519_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1519_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1519,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,404.3343],[410.0,404.3343],[209.7486,95.6657]]}
+{"canvas_size":[476,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1520","image_path":"images/angle_estimation_1520.png","interior_angles_degrees":[71.451997,55.730127,52.817876],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1520_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1520_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1520_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1520_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1520_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1520,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,426.9568],[421.0,426.9568],[175.7608,67.0432]]}
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+{"angle_degrees":209.715416,"arc_sweep_degrees":209.715416,"canvas_size":[488,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1522","image_path":"images/angle_estimation_1522.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1522_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_1522_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1522_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"30","question_id":"angle_estimation_1522_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1522_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[225.2129,386.0769],[334.9333,122.5705]],"scene_type":"single","seed":1522,"vertex":[244.0,242.5]}
+{"angle_degrees":257.57848,"arc_sweep_degrees":257.57848,"canvas_size":[461,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1523","image_path":"images/angle_estimation_1523.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1523_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_1523_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1523_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"78","question_id":"angle_estimation_1523_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1523_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[360.5634,294.1206],[247.2425,94.3235]],"scene_type":"single","seed":1523,"vertex":[230.5,250.5]}
+{"angle_degrees":80.278835,"arc_sweep_degrees":80.278835,"canvas_size":[453,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1524","image_path":"images/angle_estimation_1524.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1524_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1524_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1524_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"100","question_id":"angle_estimation_1524_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1524_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[393.0706,252.5595],[240.1164,351.876]],"scene_type":"single","seed":1524,"vertex":[226.5,245.5]}
+{"angle_degrees":179.999993,"arc_sweep_degrees":179.999993,"canvas_size":[469,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1525","image_path":"images/angle_estimation_1525.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1525_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_1525_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1525_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_1525_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1525_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[380.6045,324.739],[90.9991,184.5216]],"scene_type":"single","seed":1525,"vertex":[234.5,254.0]}
+{"angle_degrees":21.045656,"arc_sweep_degrees":21.045656,"canvas_size":[489,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1526","image_path":"images/angle_estimation_1526.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1526_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_1526_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1526_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"159","question_id":"angle_estimation_1526_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1526_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[394.3809,341.9176],[323.7145,353.3667]],"scene_type":"single","seed":1526,"vertex":[244.5,255.0]}
+{"angle_degrees":126.961806,"arc_sweep_degrees":126.961806,"canvas_size":[489,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1527","image_path":"images/angle_estimation_1527.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1527_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_1527_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1527_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"53","question_id":"angle_estimation_1527_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1527_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[240.1886,116.2449],[374.9005,345.8824]],"scene_type":"single","seed":1527,"vertex":[244.5,254.0]}
+{"angle_degrees":213.826229,"arc_sweep_degrees":213.826229,"canvas_size":[472,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1528","image_path":"images/angle_estimation_1528.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1528_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_1528_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1528_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"34","question_id":"angle_estimation_1528_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1528_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[238.7565,112.6802],[163.0061,356.4023]],"scene_type":"single","seed":1528,"vertex":[236.0,252.0]}
+{"angle_1_degrees":110.399415,"angle_2_degrees":81.357958,"angles":[{"angle_degrees":110.399415,"arc_sweep_degrees":110.399415,"ray_endpoints":[[47.2095,316.5112],[97.8333,147.9942]],"vertex":[127.17,260.49]},{"angle_degrees":81.357958,"arc_sweep_degrees":81.357958,"ray_endpoints":[[393.2474,323.2055],[266.6423,342.9134]],"vertex":[343.83,260.49]}],"canvas_size":[471,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1529","image_path":"images/angle_estimation_1529.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1529_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1529_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1529_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1529_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1529_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1529}
+{"angle_1_degrees":53.170705,"angle_2_degrees":160.541944,"angles":[{"angle_degrees":53.170705,"arc_sweep_degrees":53.170705,"ray_endpoints":[[120.6681,184.484],[210.7288,204.4416]],"vertex":[122.04,273.03]},{"angle_degrees":160.541944,"arc_sweep_degrees":160.541944,"ray_endpoints":[[385.4846,222.5731],[272.0754,380.6253]],"vertex":[329.96,273.03]}],"canvas_size":[452,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1530","image_path":"images/angle_estimation_1530.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1530_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1530_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_1530_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1530_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1530_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1530}
+{"angle_1_degrees":83.251109,"angle_2_degrees":15.264116,"angles":[{"angle_degrees":83.251109,"arc_sweep_degrees":83.251109,"ray_endpoints":[[208.4552,245.0952],[171.2657,386.5363]],"vertex":[133.65,257.64]},{"angle_degrees":15.264116,"arc_sweep_degrees":15.264116,"ray_endpoints":[[435.3824,324.1317],[424.46,355.5394]],"vertex":[361.35,257.64]}],"canvas_size":[495,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1531","image_path":"images/angle_estimation_1531.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1531_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1531_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1531_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1531_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1531_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1531}
+{"angle_1_degrees":158.11617,"angle_2_degrees":28.922082,"angles":[{"angle_degrees":158.11617,"arc_sweep_degrees":158.11617,"ray_endpoints":[[74.4774,346.2471],[145.6982,149.7583]],"vertex":[124.47,266.76]},{"angle_degrees":28.922082,"arc_sweep_degrees":28.922082,"ray_endpoints":[[364.8884,173.4678],[420.7902,184.9063]],"vertex":[336.53,266.76]}],"canvas_size":[461,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1532","image_path":"images/angle_estimation_1532.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1532_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1532_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_1532_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1532_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1532_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1532}
+{"angle_1_degrees":40.804613,"angle_2_degrees":159.340249,"angles":[{"angle_degrees":40.804613,"arc_sweep_degrees":40.804613,"ray_endpoints":[[164.1604,354.172],[92.8651,410.7997]],"vertex":[131.76,281.58]},{"angle_degrees":159.340249,"arc_sweep_degrees":159.340249,"ray_endpoints":[[302.9415,339.553],[398.8452,175.7813]],"vertex":[356.24,281.58]}],"canvas_size":[488,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1533","image_path":"images/angle_estimation_1533.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1533_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1533_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_1533_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1533_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1533_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1533}
+{"angle_1_degrees":28.003482,"angle_2_degrees":65.080136,"angles":[{"angle_degrees":28.003482,"arc_sweep_degrees":28.003482,"ray_endpoints":[[113.2756,367.7337],[61.0513,366.684]],"vertex":[127.44,278.73]},{"angle_degrees":65.080136,"arc_sweep_degrees":65.080136,"ray_endpoints":[[316.6918,177.6667],[440.309,197.4253]],"vertex":[344.56,278.73]}],"canvas_size":[472,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1534","image_path":"images/angle_estimation_1534.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1534_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1534_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1534_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1534_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1534_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1534}
+{"angle_1_degrees":138.851391,"angle_2_degrees":42.481981,"angles":[{"angle_degrees":138.851391,"arc_sweep_degrees":138.851391,"ray_endpoints":[[171.6361,179.3535],[164.0856,405.2156]],"vertex":[126.63,275.88]},{"angle_degrees":42.481981,"arc_sweep_degrees":42.481981,"ray_endpoints":[[435.7276,330.0475],[382.5282,404.0637]],"vertex":[342.37,275.88]}],"canvas_size":[469,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1535","image_path":"images/angle_estimation_1535.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1535_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1535_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1535_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1535_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1535_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1535}
+{"canvas_size":[457,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1536","image_path":"images/angle_estimation_1536.png","interior_angles_degrees":[90.764686,46.583001,42.652313],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1536_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1536_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1536_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1536_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1536_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1536,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[59.8947,434.3621],[402.0,434.3621],[55.0,67.6379]]}
+{"canvas_size":[472,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1537","image_path":"images/angle_estimation_1537.png","interior_angles_degrees":[88.941517,40.2587,50.799783],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1537_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1537_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1537_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1537_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1537_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1537,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,406.9138],[417.0,406.9138],[60.5766,105.0862]]}
+{"canvas_size":[467,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1538","image_path":"images/angle_estimation_1538.png","interior_angles_degrees":[90.124832,40.345803,49.529364],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1538_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1538_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1538_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1538_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1538_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1538,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.6607,416.1245],[412.0,416.1245],[55.0,112.8755]]}
+{"canvas_size":[451,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1539","image_path":"images/angle_estimation_1539.png","interior_angles_degrees":[90.521888,45.006065,44.472047],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1539_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1539_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1539_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1539_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1539_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1539,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[58.1068,421.5361],[396.0,421.5361],[55.0,80.4639]]}
+{"canvas_size":[452,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1540","image_path":"images/angle_estimation_1540.png","interior_angles_degrees":[89.059124,29.99378,60.947095],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1540_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1540_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1540_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1540_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1540_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1540,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,349.2753],[397.0,349.2753],[58.2115,153.7247]]}
+{"angle_degrees":133.220933,"arc_sweep_degrees":133.220933,"canvas_size":[470,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1541","image_path":"images/angle_estimation_1541.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1541_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1541_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1541_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"47","question_id":"angle_estimation_1541_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1541_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[231.1302,427.3253],[118.006,140.4857]],"scene_type":"single","seed":1541,"vertex":[235.0,255.5]}
+{"angle_degrees":260.747369,"arc_sweep_degrees":260.747369,"canvas_size":[473,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1542","image_path":"images/angle_estimation_1542.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1542_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_1542_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1542_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"81","question_id":"angle_estimation_1542_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1542_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[225.8492,102.3244],[95.238,292.4488]],"scene_type":"single","seed":1542,"vertex":[236.5,259.5]}
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+{"angle_degrees":316.947219,"arc_sweep_degrees":316.947219,"canvas_size":[462,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1544","image_path":"images/angle_estimation_1544.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1544_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_1544_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1544_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"137","question_id":"angle_estimation_1544_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1544_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[266.6906,89.4995],[171.745,161.0121]],"scene_type":"single","seed":1544,"vertex":[231.0,259.0]}
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+{"angle_degrees":163.854798,"arc_sweep_degrees":163.854798,"canvas_size":[457,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1547","image_path":"images/angle_estimation_1547.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1547_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1547_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1547_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"16","question_id":"angle_estimation_1547_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1547_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[360.2573,218.9803],[113.9266,311.4184]],"scene_type":"single","seed":1547,"vertex":[228.5,248.5]}
+{"angle_degrees":308.606459,"arc_sweep_degrees":308.606459,"canvas_size":[460,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1548","image_path":"images/angle_estimation_1548.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1548_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_1548_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1548_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"129","question_id":"angle_estimation_1548_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1548_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[112.1586,172.6293],[100.925,293.3974]],"scene_type":"single","seed":1548,"vertex":[230.0,256.5]}
+{"angle_1_degrees":91.065443,"angle_2_degrees":29.226564,"angles":[{"angle_degrees":91.065443,"arc_sweep_degrees":91.065443,"ray_endpoints":[[74.47,187.4301],[222.5523,231.8959]],"vertex":[130.14,283.29]},{"angle_degrees":29.226564,"arc_sweep_degrees":29.226564,"ray_endpoints":[[456.5028,307.4479],[457.1083,378.8109]],"vertex":[351.86,283.29]}],"canvas_size":[482,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1549","image_path":"images/angle_estimation_1549.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1549_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1549_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1549_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1549_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1549_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1549}
+{"angle_1_degrees":30.944777,"angle_2_degrees":54.622495,"angles":[{"angle_degrees":30.944777,"arc_sweep_degrees":30.944777,"ray_endpoints":[[170.8483,351.0289],[113.7504,387.2321]],"vertex":[131.76,258.78]},{"angle_degrees":54.622495,"arc_sweep_degrees":54.622495,"ray_endpoints":[[257.7998,211.3167],[332.9142,121.3989]],"vertex":[356.24,258.78]}],"canvas_size":[488,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1550","image_path":"images/angle_estimation_1550.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1550_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1550_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1550_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1550_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1550_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1550}
+{"angle_1_degrees":25.878342,"angle_2_degrees":157.042399,"angles":[{"angle_degrees":25.878342,"arc_sweep_degrees":25.878342,"ray_endpoints":[[147.3544,361.9762],[100.7912,384.2106]],"vertex":[134.73,276.45]},{"angle_degrees":157.042399,"arc_sweep_degrees":157.042399,"ray_endpoints":[[406.991,345.5999],[265.6044,206.5016]],"vertex":[364.27,276.45]}],"canvas_size":[499,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1551","image_path":"images/angle_estimation_1551.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1551_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1551_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_1551_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1551_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1551_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1551}
+{"angle_1_degrees":10.280547,"angle_2_degrees":119.864855,"angles":[{"angle_degrees":10.280547,"arc_sweep_degrees":10.280547,"ray_endpoints":[[143.6838,174.9782],[165.8618,166.4818]],"vertex":[124.2,270.75]},{"angle_degrees":119.864855,"arc_sweep_degrees":119.864855,"ray_endpoints":[[434.3684,222.5571],[326.3496,412.6757]],"vertex":[335.8,270.75]}],"canvas_size":[460,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1552","image_path":"images/angle_estimation_1552.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1552_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1552_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_1552_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1552_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1552_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1552}
+{"angle_1_degrees":15.396129,"angle_2_degrees":84.592187,"angles":[{"angle_degrees":15.396129,"arc_sweep_degrees":15.396129,"ray_endpoints":[[153.0371,354.2576],[128.1654,389.5974]],"vertex":[132.03,267.33]},{"angle_degrees":84.592187,"arc_sweep_degrees":84.592187,"ray_endpoints":[[442.1911,271.5779],[361.8628,377.0112]],"vertex":[356.97,267.33]}],"canvas_size":[489,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1553","image_path":"images/angle_estimation_1553.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1553_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1553_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1553_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1553_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1553_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1553}
+{"angle_1_degrees":31.322894,"angle_2_degrees":136.134207,"angles":[{"angle_degrees":31.322894,"arc_sweep_degrees":31.322894,"ray_endpoints":[[225.9053,257.1716],[225.2451,315.4754]],"vertex":[128.52,258.78]},{"angle_degrees":136.134207,"arc_sweep_degrees":136.134207,"ray_endpoints":[[426.1257,184.4625],[340.7833,397.9441]],"vertex":[347.48,258.78]}],"canvas_size":[476,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1554","image_path":"images/angle_estimation_1554.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1554_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1554_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1554_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1554_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1554_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1554}
+{"angle_1_degrees":16.707166,"angle_2_degrees":111.797872,"angles":[{"angle_degrees":16.707166,"arc_sweep_degrees":16.707166,"ray_endpoints":[[180.472,344.3328],[172.7507,383.7548]],"vertex":[127.44,283.29]},{"angle_degrees":111.797872,"arc_sweep_degrees":111.797872,"ray_endpoints":[[452.9221,288.2122],[291.8365,399.5255]],"vertex":[344.56,283.29]}],"canvas_size":[472,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1555","image_path":"images/angle_estimation_1555.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1555_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1555_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1555_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1555_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1555_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1555}
+{"canvas_size":[472,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1556","image_path":"images/angle_estimation_1556.png","interior_angles_degrees":[116.410473,30.919046,32.670481],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1556_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1556_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1556_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1556_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1556_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1556,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[162.6778,367.908],[417.0,367.908],[55.0,151.092]]}
+{"canvas_size":[454,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1557","image_path":"images/angle_estimation_1557.png","interior_angles_degrees":[127.434341,23.570888,28.994772],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1557_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1557_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1557_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1557_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1557_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1557,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[169.8888,334.0409],[399.0,334.0409],[55.0,183.9591]]}
+{"canvas_size":[459,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1558","image_path":"images/angle_estimation_1558.png","interior_angles_degrees":[138.433481,22.44918,19.117339],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1558_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1558_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1558_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1558_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1558_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1558,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[217.6054,312.099],[404.0,312.099],[55.0,167.901]]}
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+{"canvas_size":[496,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1560","image_path":"images/angle_estimation_1560.png","interior_angles_degrees":[139.311034,17.616423,23.072543],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1560_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1560_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1560_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1560_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1560_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1560,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[197.5542,315.7841],[441.0,315.7841],[55.0,193.2159]]}
+{"angle_degrees":143.54786,"arc_sweep_degrees":143.54786,"canvas_size":[498,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1561","image_path":"images/angle_estimation_1561.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1561_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1561_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1561_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"36","question_id":"angle_estimation_1561_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1561_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[207.031,364.9092],[209.9298,118.5646]],"scene_type":"single","seed":1561,"vertex":[249.0,244.5]}
+{"angle_degrees":143.657169,"arc_sweep_degrees":143.657169,"canvas_size":[472,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1562","image_path":"images/angle_estimation_1562.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1562_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1562_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1562_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"36","question_id":"angle_estimation_1562_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1562_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[92.1515,190.5776],[383.3844,205.7576]],"scene_type":"single","seed":1562,"vertex":[236.0,246.0]}
+{"angle_degrees":220.99084,"arc_sweep_degrees":220.99084,"canvas_size":[487,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1563","image_path":"images/angle_estimation_1563.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1563_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_1563_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1563_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"41","question_id":"angle_estimation_1563_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1563_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[326.1645,133.8171],[140.6168,270.4995]],"scene_type":"single","seed":1563,"vertex":[243.5,247.0]}
+{"angle_degrees":213.582591,"arc_sweep_degrees":213.582591,"canvas_size":[456,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1564","image_path":"images/angle_estimation_1564.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1564_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_1564_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1564_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"34","question_id":"angle_estimation_1564_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1564_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[96.7236,227.9026],[310.1215,306.1399]],"scene_type":"single","seed":1564,"vertex":[228.0,240.0]}
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+{"angle_degrees":338.272747,"arc_sweep_degrees":338.272747,"canvas_size":[454,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1566","image_path":"images/angle_estimation_1566.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1566_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_1566_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1566_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"158","question_id":"angle_estimation_1566_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1566_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[333.8621,134.0565],[280.2822,106.0177]],"scene_type":"single","seed":1566,"vertex":[227.0,255.5]}
+{"angle_degrees":68.385234,"arc_sweep_degrees":68.385234,"canvas_size":[487,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1567","image_path":"images/angle_estimation_1567.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1567_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1567_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1567_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"112","question_id":"angle_estimation_1567_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1567_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[373.7715,242.112],[292.1096,367.7572]],"scene_type":"single","seed":1567,"vertex":[243.5,240.5]}
+{"angle_degrees":64.110609,"arc_sweep_degrees":64.110609,"canvas_size":[479,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1568","image_path":"images/angle_estimation_1568.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1568_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1568_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1568_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"116","question_id":"angle_estimation_1568_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1568_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[274.3198,91.5396],[399.8029,213.0822]],"scene_type":"single","seed":1568,"vertex":[239.5,252.0]}
+{"angle_1_degrees":34.910929,"angle_2_degrees":44.76886,"angles":[{"angle_degrees":34.910929,"arc_sweep_degrees":34.910929,"ray_endpoints":[[88.7294,168.1795],[159.2697,140.1053]],"vertex":[133.65,270.18]},{"angle_degrees":44.76886,"arc_sweep_degrees":44.76886,"ray_endpoints":[[456.4589,268.0984],[453.5439,357.7148]],"vertex":[361.35,270.18]}],"canvas_size":[495,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1569","image_path":"images/angle_estimation_1569.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1569_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1569_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1569_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1569_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1569_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1569}
+{"angle_1_degrees":72.115609,"angle_2_degrees":116.257806,"angles":[{"angle_degrees":72.115609,"arc_sweep_degrees":72.115609,"ray_endpoints":[[40.7243,321.8574],[25.8597,192.3591]],"vertex":[122.58,258.21]},{"angle_degrees":116.257806,"arc_sweep_degrees":116.257806,"ray_endpoints":[[240.5969,197.2377],[428.6447,202.3766]],"vertex":[331.42,258.21]}],"canvas_size":[454,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1570","image_path":"images/angle_estimation_1570.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1570_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1570_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1570_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1570_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1570_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1570}
+{"angle_1_degrees":109.306919,"angle_2_degrees":166.207405,"angles":[{"angle_degrees":109.306919,"arc_sweep_degrees":109.306919,"ray_endpoints":[[205.2521,277.2149],[73.1408,392.3565]],"vertex":[124.47,271.89]},{"angle_degrees":166.207405,"arc_sweep_degrees":166.207405,"ray_endpoints":[[396.6034,366.7181],[254.8039,193.3716]],"vertex":[336.53,271.89]}],"canvas_size":[461,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1571","image_path":"images/angle_estimation_1571.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1571_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1571_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1571_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1571_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1571_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1571}
+{"angle_1_degrees":60.600816,"angle_2_degrees":32.321577,"angles":[{"angle_degrees":60.600816,"arc_sweep_degrees":60.600816,"ray_endpoints":[[28.598,324.7457],[41.3545,210.6343]],"vertex":[132.3,281.01]},{"angle_degrees":32.321577,"arc_sweep_degrees":32.321577,"ray_endpoints":[[382.1092,192.0434],[454.8947,192.4577]],"vertex":[357.7,281.01]}],"canvas_size":[490,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1572","image_path":"images/angle_estimation_1572.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1572_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1572_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1572_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1572_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1572_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1572}
+{"angle_1_degrees":112.934345,"angle_2_degrees":62.166532,"angles":[{"angle_degrees":112.934345,"arc_sweep_degrees":112.934345,"ray_endpoints":[[228.1598,279.449],[75.1434,376.0665]],"vertex":[132.57,270.18]},{"angle_degrees":62.166532,"arc_sweep_degrees":62.166532,"ray_endpoints":[[444.8951,242.5312],[459.2638,369.0407]],"vertex":[358.43,270.18]}],"canvas_size":[491,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1573","image_path":"images/angle_estimation_1573.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1573_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1573_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1573_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1573_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1573_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1573}
+{"angle_1_degrees":135.917032,"angle_2_degrees":122.461353,"angles":[{"angle_degrees":135.917032,"arc_sweep_degrees":135.917032,"ray_endpoints":[[119.1493,351.0826],[41.849,146.54]],"vertex":[129.6,261.06]},{"angle_degrees":122.461353,"arc_sweep_degrees":122.461353,"ray_endpoints":[[433.0275,232.195],[323.9217,373.906]],"vertex":[350.4,261.06]}],"canvas_size":[480,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1574","image_path":"images/angle_estimation_1574.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1574_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1574_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1574_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1574_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1574_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1574}
+{"angle_1_degrees":65.132641,"angle_2_degrees":17.98685,"angles":[{"angle_degrees":65.132641,"arc_sweep_degrees":65.132641,"ray_endpoints":[[64.9524,212.4771],[151.7218,148.1931]],"vertex":[125.28,259.92]},{"angle_degrees":17.98685,"arc_sweep_degrees":17.98685,"ray_endpoints":[[440.9825,250.8657],[441.6677,283.5494]],"vertex":[338.72,259.92]}],"canvas_size":[464,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1575","image_path":"images/angle_estimation_1575.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1575_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1575_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1575_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1575_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1575_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1575}
+{"canvas_size":[494,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1576","image_path":"images/angle_estimation_1576.png","interior_angles_degrees":[60.628653,38.895554,80.475793],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1576_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1576_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1576_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1576_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1576_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1576,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,356.0292],[439.0,356.0292],[174.9119,142.9708]]}
+{"canvas_size":[500,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1577","image_path":"images/angle_estimation_1577.png","interior_angles_degrees":[47.760058,53.457294,78.782648],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1577_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1577_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1577_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1577_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1577_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1577,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,367.2441],[445.0,367.2441],[269.735,130.7559]]}
+{"canvas_size":[478,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1578","image_path":"images/angle_estimation_1578.png","interior_angles_degrees":[62.819488,41.053883,76.126629],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1578_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1578_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1578_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1578_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1578_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1578,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,362.2309],[423.0,362.2309],[168.7207,140.7691]]}
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+{"angle_degrees":31.76318,"arc_sweep_degrees":31.76318,"canvas_size":[488,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1588","image_path":"images/angle_estimation_1588.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1588_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_1588_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1588_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"148","question_id":"angle_estimation_1588_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1588_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[307.3318,363.3456],[234.9866,361.4001]],"scene_type":"single","seed":1588,"vertex":[244.0,241.5]}
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+{"angle_1_degrees":159.496282,"angle_2_degrees":68.508353,"angles":[{"angle_degrees":159.496282,"arc_sweep_degrees":159.496282,"ray_endpoints":[[187.3848,336.9439],[22.9738,247.113]],"vertex":[122.04,282.15]},{"angle_degrees":68.508353,"arc_sweep_degrees":68.508353,"ray_endpoints":[[241.4837,288.976],[277.1958,173.5024]],"vertex":[329.96,282.15]}],"canvas_size":[452,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1590","image_path":"images/angle_estimation_1590.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1590_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1590_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1590_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1590_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1590_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1590}
+{"angle_1_degrees":54.880169,"angle_2_degrees":44.374112,"angles":[{"angle_degrees":54.880169,"arc_sweep_degrees":54.880169,"ray_endpoints":[[144.6742,385.0304],[32.1051,374.1234]],"vertex":[130.95,282.72]},{"angle_degrees":44.374112,"arc_sweep_degrees":44.374112,"ray_endpoints":[[409.0111,188.3551],[461.2194,253.1845]],"vertex":[354.05,282.72]}],"canvas_size":[485,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1591","image_path":"images/angle_estimation_1591.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1591_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1591_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1591_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1591_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1591_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1591}
+{"angle_1_degrees":109.332819,"angle_2_degrees":82.786994,"angles":[{"angle_degrees":109.332819,"arc_sweep_degrees":109.332819,"ray_endpoints":[[197.7188,172.5119],[197.0642,369.9619]],"vertex":[127.71,263.34]},{"angle_degrees":82.786994,"arc_sweep_degrees":82.786994,"ray_endpoints":[[420.7955,274.2053],[343.2158,385.1325]],"vertex":[345.29,263.34]}],"canvas_size":[473,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1592","image_path":"images/angle_estimation_1592.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1592_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1592_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1592_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1592_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1592_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1592}
+{"angle_1_degrees":35.144215,"angle_2_degrees":87.84587,"angles":[{"angle_degrees":35.144215,"arc_sweep_degrees":35.144215,"ray_endpoints":[[85.5397,194.3326],[132.5269,137.0594]],"vertex":[128.79,259.92]},{"angle_degrees":87.84587,"arc_sweep_degrees":87.84587,"ray_endpoints":[[458.6511,233.0713],[385.1282,390.2306]],"vertex":[348.21,259.92]}],"canvas_size":[477,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1593","image_path":"images/angle_estimation_1593.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1593_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1593_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1593_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1593_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1593_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1593}
+{"angle_1_degrees":61.973998,"angle_2_degrees":38.795378,"angles":[{"angle_degrees":61.973998,"arc_sweep_degrees":61.973998,"ray_endpoints":[[104.5713,160.3883],[209.0437,190.6214]],"vertex":[130.68,262.2]},{"angle_degrees":38.795378,"arc_sweep_degrees":38.795378,"ray_endpoints":[[302.4561,195.7136],[356.5193,129.2416]],"vertex":[353.32,262.2]}],"canvas_size":[484,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1594","image_path":"images/angle_estimation_1594.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1594_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1594_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1594_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1594_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1594_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1594}
+{"angle_1_degrees":112.869364,"angle_2_degrees":79.32644,"angles":[{"angle_degrees":112.869364,"arc_sweep_degrees":112.869364,"ray_endpoints":[[204.1107,318.2456],[30.8089,310.068]],"vertex":[125.55,257.07]},{"angle_degrees":79.32644,"arc_sweep_degrees":79.32644,"ray_endpoints":[[418.3945,248.918],[380.5799,395.3092]],"vertex":[339.45,257.07]}],"canvas_size":[465,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1595","image_path":"images/angle_estimation_1595.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1595_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1595_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1595_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1595_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1595_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1595}
+{"canvas_size":[457,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1596","image_path":"images/angle_estimation_1596.png","interior_angles_degrees":[89.761787,33.070909,57.167304],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1596_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1596_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1596_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1596_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1596_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1596,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,360.6727],[402.0,360.6727],[55.9369,135.3273]]}
+{"canvas_size":[500,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1597","image_path":"images/angle_estimation_1597.png","interior_angles_degrees":[90.768114,37.542592,51.689294],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1597_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1597_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1597_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1597_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1597_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1597,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[59.0183,405.8592],[445.0,405.8592],[55.0,106.1408]]}
+{"canvas_size":[480,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1598","image_path":"images/angle_estimation_1598.png","interior_angles_degrees":[89.714823,44.607941,45.677235],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1598_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1598_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1598_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1598_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1598_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1598,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,435.0938],[425.0,435.0938],[56.8077,71.9062]]}
+{"canvas_size":[484,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1599","image_path":"images/angle_estimation_1599.png","interior_angles_degrees":[90.721124,34.625349,54.653527],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1599_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1599_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1599_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1599_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1599_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1599,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[58.2505,384.1248],[429.0,384.1248],[55.0,125.8752]]}
+{"canvas_size":[450,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1600","image_path":"images/angle_estimation_1600.png","interior_angles_degrees":[90.505964,44.157465,45.336571],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1600_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1600_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1600_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1600_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1600_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1600,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[57.9155,416.0724],[395.0,416.0724],[55.0,85.9276]]}
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+{"angle_degrees":172.221819,"arc_sweep_degrees":172.221819,"canvas_size":[467,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1602","image_path":"images/angle_estimation_1602.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1602_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1602_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1602_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"8","question_id":"angle_estimation_1602_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1602_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[126.9295,160.4916],[343.5673,312.9684]],"scene_type":"single","seed":1602,"vertex":[233.5,246.5]}
+{"angle_degrees":234.94061,"arc_sweep_degrees":234.94061,"canvas_size":[483,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1603","image_path":"images/angle_estimation_1603.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1603_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_1603_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1603_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"55","question_id":"angle_estimation_1603_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1603_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[199.2935,99.4296],[149.7146,355.7348]],"scene_type":"single","seed":1603,"vertex":[241.5,238.5]}
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+{"angle_degrees":90.000018,"arc_sweep_degrees":90.000018,"canvas_size":[458,455],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1605","image_path":"images/angle_estimation_1605.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"right","question_id":"angle_estimation_1605_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_1605_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"approximately equal to","question_id":"angle_estimation_1605_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"90","question_id":"angle_estimation_1605_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1605_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[256.3554,396.8399],[118.5385,258.705]],"scene_type":"single","seed":1605,"vertex":[229.0,239.5]}
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+{"angle_1_degrees":96.433206,"angle_2_degrees":137.251587,"angles":[{"angle_degrees":96.433206,"arc_sweep_degrees":96.433206,"ray_endpoints":[[29.9504,281.6332],[144.643,140.3]],"vertex":[128.79,281.58]},{"angle_degrees":137.251587,"arc_sweep_degrees":137.251587,"ray_endpoints":[[395.4612,219.8668],[361.0878,420.1709]],"vertex":[348.21,281.58]}],"canvas_size":[477,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1609","image_path":"images/angle_estimation_1609.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1609_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1609_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1609_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1609_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1609_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1609}
+{"angle_1_degrees":65.810927,"angle_2_degrees":29.094265,"angles":[{"angle_degrees":65.810927,"arc_sweep_degrees":65.810927,"ray_endpoints":[[48.5712,273.9663],[82.5197,160.5719]],"vertex":[126.36,279.3]},{"angle_degrees":29.094265,"arc_sweep_degrees":29.094265,"ray_endpoints":[[278.8818,206.4115],[316.4584,157.0012]],"vertex":[341.64,279.3]}],"canvas_size":[468,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1610","image_path":"images/angle_estimation_1610.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1610_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1610_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1610_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1610_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1610_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1610}
+{"angle_1_degrees":141.40481,"angle_2_degrees":26.81431,"angles":[{"angle_degrees":141.40481,"arc_sweep_degrees":141.40481,"ray_endpoints":[[192.3984,184.5378],[133.6591,413.2983]],"vertex":[126.36,277.02]},{"angle_degrees":26.81431,"arc_sweep_degrees":26.81431,"ray_endpoints":[[342.5688,373.2223],[277.9191,406.1698]],"vertex":[341.64,277.02]}],"canvas_size":[468,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1611","image_path":"images/angle_estimation_1611.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1611_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1611_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_1611_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1611_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1611_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1611}
+{"angle_1_degrees":92.076392,"angle_2_degrees":32.686289,"angles":[{"angle_degrees":92.076392,"arc_sweep_degrees":92.076392,"ray_endpoints":[[174.2056,215.4313],[214.6908,358.2386]],"vertex":[123.93,273.03]},{"angle_degrees":32.686289,"arc_sweep_degrees":32.686289,"ray_endpoints":[[283.7272,210.622],[319.7026,143.3408]],"vertex":[335.07,273.03]}],"canvas_size":[459,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1612","image_path":"images/angle_estimation_1612.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1612_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1612_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1612_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1612_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1612_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1612}
+{"angle_1_degrees":20.345276,"angle_2_degrees":70.294949,"angles":[{"angle_degrees":20.345276,"arc_sweep_degrees":20.345276,"ray_endpoints":[[125.3903,184.3092],[163.9927,178.2302]],"vertex":[127.17,283.29]},{"angle_degrees":70.294949,"arc_sweep_degrees":70.294949,"ray_endpoints":[[431.9615,278.8254],[386.2146,385.087]],"vertex":[343.83,283.29]}],"canvas_size":[471,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1613","image_path":"images/angle_estimation_1613.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1613_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1613_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1613_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1613_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1613_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1613}
+{"angle_1_degrees":49.429831,"angle_2_degrees":123.782911,"angles":[{"angle_degrees":49.429831,"arc_sweep_degrees":49.429831,"ray_endpoints":[[124.9008,345.087],[27.7014,344.4669]],"vertex":[124.74,261.06]},{"angle_degrees":123.782911,"arc_sweep_degrees":123.782911,"ray_endpoints":[[415.422,236.8262],[305.2886,368.6001]],"vertex":[337.26,261.06]}],"canvas_size":[462,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1614","image_path":"images/angle_estimation_1614.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1614_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1614_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1614_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1614_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1614_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1614}
+{"angle_1_degrees":128.36553,"angle_2_degrees":92.308155,"angles":[{"angle_degrees":128.36553,"arc_sweep_degrees":128.36553,"ray_endpoints":[[177.376,210.2046],[156.652,381.7336]],"vertex":[127.44,279.87]},{"angle_degrees":92.308155,"arc_sweep_degrees":92.308155,"ray_endpoints":[[266.4001,347.0658],[266.4004,181.1801]],"vertex":[344.56,279.87]}],"canvas_size":[472,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1615","image_path":"images/angle_estimation_1615.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1615_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1615_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1615_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1615_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1615_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1615}
+{"canvas_size":[486,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1616","image_path":"images/angle_estimation_1616.png","interior_angles_degrees":[122.015354,25.033375,32.951271],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1616_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1616_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1616_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1616_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1616_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1616,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[164.7915,339.2992],[431.0,339.2992],[55.0,163.7008]]}
+{"canvas_size":[481,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1617","image_path":"images/angle_estimation_1617.png","interior_angles_degrees":[137.68547,16.360646,25.953884],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1617_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1617_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1617_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1617_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1617_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1617,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[174.6344,315.9572],[426.0,315.9572],[55.0,207.0428]]}
+{"canvas_size":[494,455],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1618","image_path":"images/angle_estimation_1618.png","interior_angles_degrees":[136.650368,20.11423,23.235402],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1618_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1618_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1618_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1618_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1618_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1618,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[203.9765,312.8161],[439.0,312.8161],[55.0,172.1839]]}
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+{"canvas_size":[455,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1620","image_path":"images/angle_estimation_1620.png","interior_angles_degrees":[117.803661,30.186452,32.009887],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1620_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1620_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1620_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1620_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1620_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1620,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[160.8259,347.3428],[400.0,347.3428],[55.0,146.6572]]}
+{"angle_degrees":226.171407,"arc_sweep_degrees":226.171407,"canvas_size":[460,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1621","image_path":"images/angle_estimation_1621.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1621_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_1621_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1621_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"46","question_id":"angle_estimation_1621_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1621_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[92.0008,171.9127],[261.311,406.9464]],"scene_type":"single","seed":1621,"vertex":[230.0,258.0]}
+{"angle_degrees":127.223063,"arc_sweep_degrees":127.223063,"canvas_size":[478,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1622","image_path":"images/angle_estimation_1622.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1622_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_1622_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1622_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"53","question_id":"angle_estimation_1622_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1622_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[335.3223,342.1131],[125.7236,269.6896]],"scene_type":"single","seed":1622,"vertex":[239.0,251.0]}
+{"angle_degrees":298.031729,"arc_sweep_degrees":298.031729,"canvas_size":[494,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1623","image_path":"images/angle_estimation_1623.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1623_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_1623_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1623_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"118","question_id":"angle_estimation_1623_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1623_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[287.3618,102.367],[137.4428,134.2212]],"scene_type":"single","seed":1623,"vertex":[247.0,241.0]}
+{"angle_degrees":76.919701,"arc_sweep_degrees":76.919701,"canvas_size":[465,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1624","image_path":"images/angle_estimation_1624.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1624_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1624_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1624_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"103","question_id":"angle_estimation_1624_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1624_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[238.7703,387.1701],[102.2746,273.0444]],"scene_type":"single","seed":1624,"vertex":[232.5,237.0]}
+{"angle_degrees":119.999984,"arc_sweep_degrees":119.999984,"canvas_size":[470,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1625","image_path":"images/angle_estimation_1625.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1625_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_1625_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1625_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"60","question_id":"angle_estimation_1625_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1625_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[98.8781,282.1917],[266.3137,125.7953]],"scene_type":"single","seed":1625,"vertex":[235.0,245.0]}
+{"angle_degrees":54.654561,"arc_sweep_degrees":54.654561,"canvas_size":[470,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1626","image_path":"images/angle_estimation_1626.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1626_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1626_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1626_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"125","question_id":"angle_estimation_1626_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1626_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[377.2356,172.9085],[343.135,301.3156]],"scene_type":"single","seed":1626,"vertex":[235.0,242.0]}
+{"angle_degrees":213.421725,"arc_sweep_degrees":213.421725,"canvas_size":[472,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1627","image_path":"images/angle_estimation_1627.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1627_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_1627_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1627_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"33","question_id":"angle_estimation_1627_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1627_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[269.1196,115.4059],[131.439,346.0016]],"scene_type":"single","seed":1627,"vertex":[236.0,249.5]}
+{"angle_degrees":284.786954,"arc_sweep_degrees":284.786954,"canvas_size":[456,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1628","image_path":"images/angle_estimation_1628.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1628_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_1628_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1628_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"105","question_id":"angle_estimation_1628_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1628_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[221.1875,392.7198],[354.6462,295.7455]],"scene_type":"single","seed":1628,"vertex":[228.0,255.5]}
+{"angle_1_degrees":25.692085,"angle_2_degrees":66.170728,"angles":[{"angle_degrees":25.692085,"arc_sweep_degrees":25.692085,"ray_endpoints":[[207.9513,356.0499],[171.1293,403.989]],"vertex":[132.03,272.46]},{"angle_degrees":66.170728,"arc_sweep_degrees":66.170728,"ray_endpoints":[[267.5718,275.8248],[296.2842,147.9517]],"vertex":[356.97,272.46]}],"canvas_size":[489,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1629","image_path":"images/angle_estimation_1629.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1629_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1629_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1629_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1629_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1629_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1629}
+{"angle_1_degrees":126.258071,"angle_2_degrees":65.315368,"angles":[{"angle_degrees":126.258071,"arc_sweep_degrees":126.258071,"ray_endpoints":[[23.4896,303.2646],[152.105,157.4813]],"vertex":[122.31,265.62]},{"angle_degrees":65.315368,"arc_sweep_degrees":65.315368,"ray_endpoints":[[283.6777,205.3733],[388.2183,154.3963]],"vertex":[330.69,265.62]}],"canvas_size":[453,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1630","image_path":"images/angle_estimation_1630.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1630_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1630_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1630_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1630_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1630_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1630}
+{"angle_1_degrees":99.244426,"angle_2_degrees":115.722666,"angles":[{"angle_degrees":99.244426,"arc_sweep_degrees":99.244426,"ray_endpoints":[[193.4558,297.4252],[62.3595,368.8339]],"vertex":[122.31,269.04]},{"angle_degrees":115.722666,"arc_sweep_degrees":115.722666,"ray_endpoints":[[405.1189,200.2321],[370.107,397.7258]],"vertex":[330.69,269.04]}],"canvas_size":[453,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1631","image_path":"images/angle_estimation_1631.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1631_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1631_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1631_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1631_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1631_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1631}
+{"angle_1_degrees":12.765113,"angle_2_degrees":77.459699,"angles":[{"angle_degrees":12.765113,"arc_sweep_degrees":12.765113,"ray_endpoints":[[145.2604,361.2415],[127.4795,409.4177]],"vertex":[124.74,278.73]},{"angle_degrees":77.459699,"arc_sweep_degrees":77.459699,"ray_endpoints":[[442.5791,268.3519],[370.1708,379.0173]],"vertex":[337.26,278.73]}],"canvas_size":[462,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1632","image_path":"images/angle_estimation_1632.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1632_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1632_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1632_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1632_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1632_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1632}
+{"angle_1_degrees":116.470918,"angle_2_degrees":59.273601,"angles":[{"angle_degrees":116.470918,"arc_sweep_degrees":116.470918,"ray_endpoints":[[184.4742,172.5688],[211.9164,387.5885]],"vertex":[130.68,270.75]},{"angle_degrees":59.273601,"arc_sweep_degrees":59.273601,"ray_endpoints":[[450.243,282.7112],[402.5417,382.9273]],"vertex":[353.32,270.75]}],"canvas_size":[484,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1633","image_path":"images/angle_estimation_1633.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1633_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1633_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1633_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1633_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1633_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1633}
+{"angle_1_degrees":76.78499,"angle_2_degrees":130.106837,"angles":[{"angle_degrees":76.78499,"arc_sweep_degrees":76.78499,"ray_endpoints":[[159.8259,363.9928],[14.0398,321.0464]],"vertex":[134.46,259.92]},{"angle_degrees":130.106837,"arc_sweep_degrees":130.106837,"ray_endpoints":[[387.9978,187.338],[431.444,371.7299]],"vertex":[363.54,259.92]}],"canvas_size":[498,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1634","image_path":"images/angle_estimation_1634.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1634_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1634_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1634_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1634_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1634_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1634}
+{"angle_1_degrees":88.24821,"angle_2_degrees":13.400111,"angles":[{"angle_degrees":88.24821,"arc_sweep_degrees":88.24821,"ray_endpoints":[[201.1466,287.5667],[86.285,399.3132]],"vertex":[122.58,263.91]},{"angle_degrees":13.400111,"arc_sweep_degrees":13.400111,"ray_endpoints":[[415.4354,336.7388],[399.4092,358.5985]],"vertex":[331.42,263.91]}],"canvas_size":[454,463],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1635","image_path":"images/angle_estimation_1635.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1635_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1635_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1635_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1635_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1635_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1635}
+{"canvas_size":[458,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1636","image_path":"images/angle_estimation_1636.png","interior_angles_degrees":[58.923522,43.085853,77.990625],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1636_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1636_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1636_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1636_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1636_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1636,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,359.0775],[403.0,359.0775],[180.4506,150.9225]]}
+{"canvas_size":[470,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1637","image_path":"images/angle_estimation_1637.png","interior_angles_degrees":[72.453673,63.464911,44.081416],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1637_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1637_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1637_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1637_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1637_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1637,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[89.4271,422.0],[380.5729,422.0],[202.3062,65.0]]}
+{"canvas_size":[497,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1638","image_path":"images/angle_estimation_1638.png","interior_angles_degrees":[63.445251,54.696234,61.858516],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1638_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1638_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1638_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1638_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1638_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1638,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,414.6936],[442.0,414.6936],[215.1216,94.3064]]}
+{"canvas_size":[454,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1639","image_path":"images/angle_estimation_1639.png","interior_angles_degrees":[42.663519,54.565707,82.770774],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1639_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1639_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1639_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1639_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1639_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1639,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,357.7343],[399.0,357.7343],[262.7578,166.2657]]}
+{"canvas_size":[500,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1640","image_path":"images/angle_estimation_1640.png","interior_angles_degrees":[59.394452,67.147748,53.4578],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1640_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1640_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_1640_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1640_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1640_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1640,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[56.5239,447.0],[443.4761,447.0],[282.488,65.0]]}
+{"angle_degrees":140.861866,"arc_sweep_degrees":140.861866,"canvas_size":[500,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1641","image_path":"images/angle_estimation_1641.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1641_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1641_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1641_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"39","question_id":"angle_estimation_1641_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1641_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[246.8586,85.1958],[335.1266,349.0906]],"scene_type":"single","seed":1641,"vertex":[250.0,248.5]}
+{"angle_degrees":157.575865,"arc_sweep_degrees":157.575865,"canvas_size":[496,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1642","image_path":"images/angle_estimation_1642.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1642_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1642_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1642_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"22","question_id":"angle_estimation_1642_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1642_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[81.9426,278.0043],[378.2065,167.6181]],"scene_type":"single","seed":1642,"vertex":[248.0,249.5]}
+{"angle_degrees":321.581386,"arc_sweep_degrees":321.581386,"canvas_size":[470,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1643","image_path":"images/angle_estimation_1643.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1643_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_1643_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1643_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"142","question_id":"angle_estimation_1643_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1643_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[349.7005,315.3733],[384.9378,226.3502]],"scene_type":"single","seed":1643,"vertex":[235.0,260.0]}
+{"angle_degrees":290.79302,"arc_sweep_degrees":290.79302,"canvas_size":[478,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1644","image_path":"images/angle_estimation_1644.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1644_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_1644_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1644_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"111","question_id":"angle_estimation_1644_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1644_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[404.6294,283.3492],[291.4726,165.3691]],"scene_type":"single","seed":1644,"vertex":[239.0,257.5]}
+{"angle_degrees":120.000031,"arc_sweep_degrees":120.000031,"canvas_size":[494,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1645","image_path":"images/angle_estimation_1645.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1645_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_1645_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1645_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"60","question_id":"angle_estimation_1645_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1645_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[196.8092,112.0301],[367.6782,264.8062]],"scene_type":"single","seed":1645,"vertex":[247.0,245.0]}
+{"angle_degrees":164.326827,"arc_sweep_degrees":164.326827,"canvas_size":[476,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1646","image_path":"images/angle_estimation_1646.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1646_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1646_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1646_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"16","question_id":"angle_estimation_1646_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1646_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[158.1307,359.3342],[289.3463,102.4577]],"scene_type":"single","seed":1646,"vertex":[238.0,246.5]}
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+{"angle_1_degrees":52.619119,"angle_2_degrees":115.873493,"angles":[{"angle_degrees":52.619119,"arc_sweep_degrees":52.619119,"ray_endpoints":[[59.0292,201.8802],[147.1598,137.4492]],"vertex":[132.03,271.89]},{"angle_degrees":115.873493,"arc_sweep_degrees":115.873493,"ray_endpoints":[[289.2283,202.9616],[456.9649,238.1816]],"vertex":[356.97,271.89]}],"canvas_size":[489,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1649","image_path":"images/angle_estimation_1649.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1649_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1649_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1649_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1649_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1649_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1649}
+{"angle_1_degrees":65.656673,"angle_2_degrees":153.459226,"angles":[{"angle_degrees":65.656673,"arc_sweep_degrees":65.656673,"ray_endpoints":[[25.7339,247.959],[83.624,122.4329]],"vertex":[129.6,258.21]},{"angle_degrees":153.459226,"arc_sweep_degrees":153.459226,"ray_endpoints":[[307.3846,343.5212],[350.9194,121.2386]],"vertex":[350.4,258.21]}],"canvas_size":[480,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1650","image_path":"images/angle_estimation_1650.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1650_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1650_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1650_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1650_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1650_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1650}
+{"angle_1_degrees":32.216526,"angle_2_degrees":49.632762,"angles":[{"angle_degrees":32.216526,"arc_sweep_degrees":32.216526,"ray_endpoints":[[170.2297,355.2283],[124.5838,401.5544]],"vertex":[121.5,282.15]},{"angle_degrees":49.632762,"arc_sweep_degrees":49.632762,"ray_endpoints":[[249.6804,257.6372],[278.5184,164.9222]],"vertex":[328.5,282.15]}],"canvas_size":[450,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1651","image_path":"images/angle_estimation_1651.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1651_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1651_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1651_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1651_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1651_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1651}
+{"angle_1_degrees":46.455098,"angle_2_degrees":130.88235,"angles":[{"angle_degrees":46.455098,"arc_sweep_degrees":46.455098,"ray_endpoints":[[55.506,202.9198],[132.2418,157.7218]],"vertex":[127.44,277.02]},{"angle_degrees":130.88235,"arc_sweep_degrees":130.88235,"ray_endpoints":[[272.6551,254.5836],[440.7186,217.4265]],"vertex":[344.56,277.02]}],"canvas_size":[472,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1652","image_path":"images/angle_estimation_1652.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1652_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1652_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1652_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1652_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1652_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1652}
+{"angle_1_degrees":91.45252,"angle_2_degrees":38.833334,"angles":[{"angle_degrees":91.45252,"arc_sweep_degrees":91.45252,"ray_endpoints":[[30.3583,325.4927],[53.097,158.4067]],"vertex":[122.31,258.21]},{"angle_degrees":38.833334,"arc_sweep_degrees":38.833334,"ray_endpoints":[[278.7267,179.4883],[341.8974,139.7581]],"vertex":[330.69,258.21]}],"canvas_size":[453,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1653","image_path":"images/angle_estimation_1653.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1653_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1653_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1653_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1653_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1653_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1653}
+{"angle_1_degrees":36.23802,"angle_2_degrees":63.726086,"angles":[{"angle_degrees":36.23802,"arc_sweep_degrees":36.23802,"ray_endpoints":[[141.3798,160.4686],[212.2847,171.9675]],"vertex":[125.55,257.07]},{"angle_degrees":63.726086,"arc_sweep_degrees":63.726086,"ray_endpoints":[[400.1203,354.1997],[265.9452,375.9179]],"vertex":[339.45,257.07]}],"canvas_size":[465,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1654","image_path":"images/angle_estimation_1654.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1654_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1654_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1654_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1654_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1654_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1654}
+{"angle_1_degrees":99.006722,"angle_2_degrees":73.646849,"angles":[{"angle_degrees":99.006722,"arc_sweep_degrees":99.006722,"ray_endpoints":[[30.4706,297.3282],[102.5223,124.965]],"vertex":[130.14,259.92]},{"angle_degrees":73.646849,"arc_sweep_degrees":73.646849,"ray_endpoints":[[439.04,318.0671],[309.0871,396.8334]],"vertex":[351.86,259.92]}],"canvas_size":[482,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1655","image_path":"images/angle_estimation_1655.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1655_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1655_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1655_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1655_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1655_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1655}
+{"canvas_size":[496,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1656","image_path":"images/angle_estimation_1656.png","interior_angles_degrees":[90.051354,33.959021,55.989625],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1656_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1656_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1656_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1656_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1656_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1656,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.233,385.4794],[441.0,385.4794],[55.0,125.5206]]}
+{"canvas_size":[495,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1657","image_path":"images/angle_estimation_1657.png","interior_angles_degrees":[89.140789,41.978089,48.881122],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1657_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1657_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1657_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1657_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1657_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1657,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,425.3887],[440.0,425.3887],[60.1257,83.6113]]}
+{"canvas_size":[495,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1658","image_path":"images/angle_estimation_1658.png","interior_angles_degrees":[89.684687,30.560152,59.755162],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1658_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1658_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1658_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1658_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1658_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1658,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,367.2954],[440.0,367.2954],[56.247,140.7046]]}
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+{"angle_1_degrees":28.709169,"angle_2_degrees":50.954041,"angles":[{"angle_degrees":28.709169,"arc_sweep_degrees":28.709169,"ray_endpoints":[[74.2427,226.7865],[81.4659,156.7789]],"vertex":[135.0,271.32]},{"angle_degrees":50.954041,"arc_sweep_degrees":50.954041,"ray_endpoints":[[411.9324,333.0368],[331.0534,410.5434]],"vertex":[365.0,271.32]}],"canvas_size":[500,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1670","image_path":"images/angle_estimation_1670.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1670_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1670_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1670_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1670_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1670_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1670}
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+{"angle_1_degrees":42.961688,"angle_2_degrees":95.057886,"angles":[{"angle_degrees":42.961688,"arc_sweep_degrees":42.961688,"ray_endpoints":[[198.8733,300.9836],[174.4759,384.5992]],"vertex":[130.68,266.76]},{"angle_degrees":95.057886,"arc_sweep_degrees":95.057886,"ray_endpoints":[[261.2642,312.964],[300.7253,133.8856]],"vertex":[353.32,266.76]}],"canvas_size":[484,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1672","image_path":"images/angle_estimation_1672.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1672_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1672_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1672_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1672_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1672_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1672}
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+{"angle_1_degrees":112.963577,"angle_2_degrees":69.731013,"angles":[{"angle_degrees":112.963577,"arc_sweep_degrees":112.963577,"ray_endpoints":[[35.1357,323.923],[102.6288,138.9073]],"vertex":[127.44,260.49]},{"angle_degrees":69.731013,"arc_sweep_degrees":69.731013,"ray_endpoints":[[418.3219,240.4312],[422.7267,370.1481]],"vertex":[344.56,260.49]}],"canvas_size":[472,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1674","image_path":"images/angle_estimation_1674.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1674_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1674_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1674_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1674_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1674_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1674}
+{"angle_1_degrees":27.760555,"angle_2_degrees":10.108832,"angles":[{"angle_degrees":27.760555,"arc_sweep_degrees":27.760555,"ray_endpoints":[[138.0277,164.9167],[189.7261,178.105]],"vertex":[125.82,271.89]},{"angle_degrees":10.108832,"arc_sweep_degrees":10.108832,"ray_endpoints":[[297.2688,350.2643],[270.851,358.0863]],"vertex":[340.18,271.89]}],"canvas_size":[466,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1675","image_path":"images/angle_estimation_1675.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1675_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1675_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1675_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1675_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1675_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1675}
+{"canvas_size":[451,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1676","image_path":"images/angle_estimation_1676.png","interior_angles_degrees":[136.062998,20.235366,23.701637],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1676_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1676_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1676_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1676_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1676_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1676,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[185.4556,304.3513],[396.0,304.3513],[55.0,178.6487]]}
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+{"canvas_size":[468,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1680","image_path":"images/angle_estimation_1680.png","interior_angles_degrees":[113.719806,29.659265,36.620929],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1680_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1680_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1680_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1680_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1680_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1680,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[144.5734,348.9312],[413.0,348.9312],[55.0,145.0688]]}
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+{"angle_1_degrees":81.74827,"angle_2_degrees":107.456681,"angles":[{"angle_degrees":81.74827,"arc_sweep_degrees":81.74827,"ray_endpoints":[[65.0637,226.5619],[187.9867,168.8344]],"vertex":[122.58,274.74]},{"angle_degrees":107.456681,"arc_sweep_degrees":107.456681,"ray_endpoints":[[437.1193,256.6896],[312.2588,415.2458]],"vertex":[331.42,274.74]}],"canvas_size":[454,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1690","image_path":"images/angle_estimation_1690.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1690_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1690_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1690_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1690_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1690_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1690}
+{"angle_1_degrees":72.841719,"angle_2_degrees":51.223176,"angles":[{"angle_degrees":72.841719,"arc_sweep_degrees":72.841719,"ray_endpoints":[[199.3806,226.1739],[209.5436,344.3787]],"vertex":[125.82,272.46]},{"angle_degrees":51.223176,"arc_sweep_degrees":51.223176,"ray_endpoints":[[314.9042,193.0744],[406.8568,171.9591]],"vertex":[340.18,272.46]}],"canvas_size":[466,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1691","image_path":"images/angle_estimation_1691.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1691_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1691_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1691_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1691_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1691_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1691}
+{"angle_1_degrees":28.687447,"angle_2_degrees":56.188812,"angles":[{"angle_degrees":28.687447,"arc_sweep_degrees":28.687447,"ray_endpoints":[[190.416,333.7097],[153.4461,377.5404]],"vertex":[135.0,262.2]},{"angle_degrees":56.188812,"arc_sweep_degrees":56.188812,"ray_endpoints":[[321.9305,187.6485],[412.6431,165.2618]],"vertex":[365.0,262.2]}],"canvas_size":[500,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1692","image_path":"images/angle_estimation_1692.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1692_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1692_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1692_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1692_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1692_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1692}
+{"angle_1_degrees":47.997426,"angle_2_degrees":125.59317,"angles":[{"angle_degrees":47.997426,"arc_sweep_degrees":47.997426,"ray_endpoints":[[41.9068,210.175],[107.0549,143.2688]],"vertex":[133.92,261.63]},{"angle_degrees":125.59317,"arc_sweep_degrees":125.59317,"ray_endpoints":[[313.2708,203.0108],[483.5736,252.731]],"vertex":[362.08,261.63]}],"canvas_size":[496,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1693","image_path":"images/angle_estimation_1693.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1693_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1693_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1693_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1693_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1693_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1693}
+{"angle_1_degrees":141.259428,"angle_2_degrees":67.491565,"angles":[{"angle_degrees":141.259428,"arc_sweep_degrees":141.259428,"ray_endpoints":[[56.9847,289.5953],[185.6089,158.5043]],"vertex":[132.3,257.64]},{"angle_degrees":67.491565,"arc_sweep_degrees":67.491565,"ray_endpoints":[[287.5007,203.9189],[393.213,124.3329]],"vertex":[357.7,257.64]}],"canvas_size":[490,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1694","image_path":"images/angle_estimation_1694.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1694_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1694_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1694_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1694_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1694_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1694}
+{"angle_1_degrees":33.366746,"angle_2_degrees":56.737537,"angles":[{"angle_degrees":33.366746,"arc_sweep_degrees":33.366746,"ray_endpoints":[[23.1201,308.088],[19.5212,247.2331]],"vertex":[122.85,278.16]},{"angle_degrees":56.737537,"arc_sweep_degrees":56.737537,"ray_endpoints":[[330.3134,174.7282],[435.8981,207.4416]],"vertex":[332.15,278.16]}],"canvas_size":[455,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1695","image_path":"images/angle_estimation_1695.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1695_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1695_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1695_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1695_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1695_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1695}
+{"canvas_size":[451,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1696","image_path":"images/angle_estimation_1696.png","interior_angles_degrees":[48.638371,70.005652,61.355977],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1696_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1696_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_1696_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1696_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1696_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1696,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,398.5262],[396.0,398.5262],[296.2837,124.4738]]}
+{"canvas_size":[495,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1697","image_path":"images/angle_estimation_1697.png","interior_angles_degrees":[60.543273,34.718008,84.73872],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1697_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1697_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1697_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1697_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1697_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1697,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,347.367],[440.0,347.367],[163.2868,155.633]]}
+{"canvas_size":[476,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1698","image_path":"images/angle_estimation_1698.png","interior_angles_degrees":[69.50596,29.344236,81.149804],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1698_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1698_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1698_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1698_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1698_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1698,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,330.0164],[421.0,330.0164],[118.5525,159.9836]]}
+{"canvas_size":[469,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1699","image_path":"images/angle_estimation_1699.png","interior_angles_degrees":[68.528446,64.773387,46.698166],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1699_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1699_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1699_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1699_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1699_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1699,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[72.4121,440.0],[396.5879,440.0],[219.9135,65.0]]}
+{"canvas_size":[477,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1700","image_path":"images/angle_estimation_1700.png","interior_angles_degrees":[63.89158,32.902328,83.206092],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1700_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1700_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1700_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1700_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1700_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1700,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,334.6408],[422.0,334.6408],[143.3519,154.3592]]}
+{"angle_degrees":168.266833,"arc_sweep_degrees":168.266833,"canvas_size":[481,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1701","image_path":"images/angle_estimation_1701.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1701_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1701_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1701_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"12","question_id":"angle_estimation_1701_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1701_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[384.9429,304.1944],[122.2365,229.8886]],"scene_type":"single","seed":1701,"vertex":[240.5,249.0]}
+{"angle_degrees":106.39407,"arc_sweep_degrees":106.39407,"canvas_size":[476,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1702","image_path":"images/angle_estimation_1702.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1702_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_1702_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1702_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"74","question_id":"angle_estimation_1702_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1702_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[131.6845,378.7465],[174.8256,154.5575]],"scene_type":"single","seed":1702,"vertex":[238.0,243.0]}
+{"angle_degrees":298.700566,"arc_sweep_degrees":298.700566,"canvas_size":[483,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1703","image_path":"images/angle_estimation_1703.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1703_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_1703_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1703_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"119","question_id":"angle_estimation_1703_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1703_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[408.1727,262.5667],[305.4884,151.653]],"scene_type":"single","seed":1703,"vertex":[241.5,249.5]}
+{"angle_degrees":45.845935,"arc_sweep_degrees":45.845935,"canvas_size":[483,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1704","image_path":"images/angle_estimation_1704.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1704_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_1704_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1704_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"134","question_id":"angle_estimation_1704_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1704_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[93.6743,349.738],[103.6495,223.5714]],"scene_type":"single","seed":1704,"vertex":[241.5,258.0]}
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+{"angle_degrees":170.613604,"arc_sweep_degrees":170.613604,"canvas_size":[478,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1706","image_path":"images/angle_estimation_1706.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1706_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1706_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1706_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"9","question_id":"angle_estimation_1706_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1706_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[232.0667,130.451],[265.7249,375.4547]],"scene_type":"single","seed":1706,"vertex":[239.0,255.5]}
+{"angle_degrees":50.54148,"arc_sweep_degrees":50.54148,"canvas_size":[461,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1707","image_path":"images/angle_estimation_1707.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1707_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_1707_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1707_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"129","question_id":"angle_estimation_1707_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1707_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[340.8051,321.4662],[256.1172,398.3305]],"scene_type":"single","seed":1707,"vertex":[230.5,260.5]}
+{"angle_degrees":159.559391,"arc_sweep_degrees":159.559391,"canvas_size":[470,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1708","image_path":"images/angle_estimation_1708.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1708_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1708_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1708_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"20","question_id":"angle_estimation_1708_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1708_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[388.0112,206.3721],[145.0625,298.9377]],"scene_type":"single","seed":1708,"vertex":[235.0,240.5]}
+{"angle_1_degrees":150.983665,"angle_2_degrees":37.668329,"angles":[{"angle_degrees":150.983665,"arc_sweep_degrees":150.983665,"ray_endpoints":[[139.6139,344.3416],[56.3021,146.1425]],"vertex":[132.03,258.21]},{"angle_degrees":37.668329,"arc_sweep_degrees":37.668329,"ray_endpoints":[[409.2648,333.956],[351.0171,370.0335]],"vertex":[356.97,258.21]}],"canvas_size":[489,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1709","image_path":"images/angle_estimation_1709.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1709_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1709_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_1709_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1709_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1709_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1709}
+{"angle_1_degrees":19.397652,"angle_2_degrees":115.2802,"angles":[{"angle_degrees":19.397652,"arc_sweep_degrees":19.397652,"ray_endpoints":[[66.1433,205.517],[88.4713,175.28]],"vertex":[127.98,278.16]},{"angle_degrees":115.2802,"arc_sweep_degrees":115.2802,"ray_endpoints":[[446.7044,225.7604],[350.9185,404.8754]],"vertex":[346.02,278.16]}],"canvas_size":[474,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1710","image_path":"images/angle_estimation_1710.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1710_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1710_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1710_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1710_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1710_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1710}
+{"angle_1_degrees":57.686523,"angle_2_degrees":21.920233,"angles":[{"angle_degrees":57.686523,"arc_sweep_degrees":57.686523,"ray_endpoints":[[45.9142,314.4517],[17.2396,197.0219]],"vertex":[134.73,274.17]},{"angle_degrees":21.920233,"arc_sweep_degrees":21.920233,"ray_endpoints":[[428.647,181.0883],[474.6089,201.3836]],"vertex":[364.27,274.17]}],"canvas_size":[499,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1711","image_path":"images/angle_estimation_1711.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1711_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1711_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1711_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1711_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1711_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1711}
+{"angle_1_degrees":82.915415,"angle_2_degrees":107.767224,"angles":[{"angle_degrees":82.915415,"arc_sweep_degrees":82.915415,"ray_endpoints":[[220.6682,205.5055],[235.1686,373.401]],"vertex":[133.92,275.31]},{"angle_degrees":107.767224,"arc_sweep_degrees":107.767224,"ray_endpoints":[[437.7633,223.7551],[400.7757,405.9849]],"vertex":[362.08,275.31]}],"canvas_size":[496,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1712","image_path":"images/angle_estimation_1712.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1712_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1712_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1712_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1712_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1712_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1712}
+{"angle_1_degrees":77.656691,"angle_2_degrees":154.833808,"angles":[{"angle_degrees":77.656691,"arc_sweep_degrees":77.656691,"ray_endpoints":[[49.0525,279.3464],[90.7402,144.3424]],"vertex":[133.65,269.61]},{"angle_degrees":154.833808,"arc_sweep_degrees":154.833808,"ray_endpoints":[[400.7467,339.6704],[266.6651,202.1126]],"vertex":[361.35,269.61]}],"canvas_size":[495,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1713","image_path":"images/angle_estimation_1713.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1713_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1713_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1713_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1713_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1713_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1713}
+{"angle_1_degrees":64.538859,"angle_2_degrees":22.245905,"angles":[{"angle_degrees":64.538859,"arc_sweep_degrees":64.538859,"ray_endpoints":[[55.0153,290.0213],[44.8344,185.8663]],"vertex":[128.52,257.07]},{"angle_degrees":22.245905,"arc_sweep_degrees":22.245905,"ray_endpoints":[[416.1643,308.2684],[417.0453,372.6055]],"vertex":[347.48,257.07]}],"canvas_size":[476,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1714","image_path":"images/angle_estimation_1714.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1714_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1714_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1714_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1714_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1714_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1714}
+{"angle_1_degrees":113.57313,"angle_2_degrees":68.665836,"angles":[{"angle_degrees":113.57313,"arc_sweep_degrees":113.57313,"ray_endpoints":[[214.9527,271.2769],[83.2724,398.3624]],"vertex":[130.14,275.31]},{"angle_degrees":68.665836,"arc_sweep_degrees":68.665836,"ray_endpoints":[[454.8194,311.8326],[356.2994,416.3283]],"vertex":[351.86,275.31]}],"canvas_size":[482,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1715","image_path":"images/angle_estimation_1715.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1715_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1715_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1715_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1715_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1715_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1715}
+{"canvas_size":[450,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1716","image_path":"images/angle_estimation_1716.png","interior_angles_degrees":[90.838188,43.79671,45.365102],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1716_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1716_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1716_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1716_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1716_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1716,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[59.7696,426.0054],[395.0,426.0054],[55.0,99.9946]]}
+{"canvas_size":[499,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1717","image_path":"images/angle_estimation_1717.png","interior_angles_degrees":[90.964222,34.668133,54.367645],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1717_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1717_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1717_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1717_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1717_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1717,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[59.528,380.0182],[444.0,380.0182],[55.0,110.9818]]}
+{"canvas_size":[476,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1718","image_path":"images/angle_estimation_1718.png","interior_angles_degrees":[89.040623,43.766865,47.192512],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1718_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1718_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1718_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1718_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1718_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1718,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,437.5204],[421.0,437.5204],[60.778,92.4796]]}
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+{"angle_degrees":197.788001,"arc_sweep_degrees":197.788001,"canvas_size":[480,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1722","image_path":"images/angle_estimation_1722.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1722_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_1722_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1722_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"18","question_id":"angle_estimation_1722_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1722_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[280.9735,80.2639],[176.1567,354.1007]],"scene_type":"single","seed":1722,"vertex":[240.0,249.5]}
+{"angle_degrees":81.693917,"arc_sweep_degrees":81.693917,"canvas_size":[467,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1723","image_path":"images/angle_estimation_1723.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1723_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1723_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1723_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"98","question_id":"angle_estimation_1723_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1723_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[171.9202,146.2336],[331.6842,186.7304]],"scene_type":"single","seed":1723,"vertex":[233.5,260.0]}
+{"angle_degrees":15.363815,"arc_sweep_degrees":15.363815,"canvas_size":[455,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1724","image_path":"images/angle_estimation_1724.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1724_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_1724_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1724_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"165","question_id":"angle_estimation_1724_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1724_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[378.4982,185.947],[345.2,234.7418]],"scene_type":"single","seed":1724,"vertex":[227.5,251.5]}
+{"angle_degrees":29.999975,"arc_sweep_degrees":29.999975,"canvas_size":[468,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1725","image_path":"images/angle_estimation_1725.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1725_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_1725_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1725_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_1725_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1725_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[405.6518,291.535],[354.4559,362.7275]],"scene_type":"single","seed":1725,"vertex":[234.0,259.0]}
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+{"angle_1_degrees":58.06496,"angle_2_degrees":44.728355,"angles":[{"angle_degrees":58.06496,"arc_sweep_degrees":58.06496,"ray_endpoints":[[48.7852,253.5655],[76.41,143.6045]],"vertex":[124.74,267.9]},{"angle_degrees":44.728355,"arc_sweep_degrees":44.728355,"ray_endpoints":[[259.9418,254.6572],[262.006,162.6021]],"vertex":[337.26,267.9]}],"canvas_size":[462,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1730","image_path":"images/angle_estimation_1730.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1730_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1730_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1730_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1730_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1730_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1730}
+{"angle_1_degrees":101.977013,"angle_2_degrees":73.35219,"angles":[{"angle_degrees":101.977013,"arc_sweep_degrees":101.977013,"ray_endpoints":[[56.4054,341.793],[48.1011,148.4285]],"vertex":[129.6,260.49]},{"angle_degrees":73.35219,"arc_sweep_degrees":73.35219,"ray_endpoints":[[425.1978,332.9095],[301.4227,354.8693]],"vertex":[350.4,260.49]}],"canvas_size":[480,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1731","image_path":"images/angle_estimation_1731.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1731_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1731_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1731_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1731_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1731_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1731}
+{"angle_1_degrees":95.524008,"angle_2_degrees":62.577058,"angles":[{"angle_degrees":95.524008,"arc_sweep_degrees":95.524008,"ray_endpoints":[[26.9826,289.6747],[98.0177,118.4439]],"vertex":[125.55,260.49]},{"angle_degrees":62.577058,"arc_sweep_degrees":62.577058,"ray_endpoints":[[280.6534,205.3113],[374.682,135.6413]],"vertex":[339.45,260.49]}],"canvas_size":[465,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1732","image_path":"images/angle_estimation_1732.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1732_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1732_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1732_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1732_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1732_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1732}
+{"angle_1_degrees":61.368747,"angle_2_degrees":19.823252,"angles":[{"angle_degrees":61.368747,"arc_sweep_degrees":61.368747,"ray_endpoints":[[215.7205,255.4797],[194.5989,357.5303]],"vertex":[123.66,275.31]},{"angle_degrees":19.823252,"arc_sweep_degrees":19.823252,"ray_endpoints":[[418.5114,304.7897],[432.118,354.8436]],"vertex":[334.34,275.31]}],"canvas_size":[458,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1733","image_path":"images/angle_estimation_1733.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1733_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1733_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1733_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1733_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1733_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1733}
+{"angle_1_degrees":152.441399,"angle_2_degrees":35.978335,"angles":[{"angle_degrees":152.441399,"arc_sweep_degrees":152.441399,"ray_endpoints":[[131.0561,168.7462],[171.5208,382.28]],"vertex":[123.39,270.18]},{"angle_degrees":35.978335,"arc_sweep_degrees":35.978335,"ray_endpoints":[[385.9675,325.182],[350.8971,399.5577]],"vertex":[333.61,270.18]}],"canvas_size":[457,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1734","image_path":"images/angle_estimation_1734.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1734_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1734_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_1734_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1734_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1734_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1734}
+{"angle_1_degrees":73.627681,"angle_2_degrees":162.216471,"angles":[{"angle_degrees":73.627681,"arc_sweep_degrees":73.627681,"ray_endpoints":[[60.0871,315.8347],[54.9981,203.0298]],"vertex":[128.79,280.44]},{"angle_degrees":162.216471,"arc_sweep_degrees":162.216471,"ray_endpoints":[[314.068,175.8075],[420.5421,380.5274]],"vertex":[348.21,280.44]}],"canvas_size":[477,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1735","image_path":"images/angle_estimation_1735.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1735_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1735_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1735_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1735_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1735_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1735}
+{"canvas_size":[451,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1736","image_path":"images/angle_estimation_1736.png","interior_angles_degrees":[109.168162,28.574914,42.256924],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1736_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1736_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1736_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1736_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1736_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1736,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[119.5608,354.8628],[396.0,354.8628],[55.0,169.1372]]}
+{"canvas_size":[460,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1737","image_path":"images/angle_estimation_1737.png","interior_angles_degrees":[115.581903,28.200972,36.217124],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1737_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1737_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1737_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1737_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1737_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1737,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[144.8464,355.338],[405.0,355.338],[55.0,167.662]]}
+{"canvas_size":[483,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1738","image_path":"images/angle_estimation_1738.png","interior_angles_degrees":[107.643987,30.581744,41.774269],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1738_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1738_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1738_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1738_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1738_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1738,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[125.1112,353.7156],[428.0,353.7156],[55.0,133.2844]]}
+{"canvas_size":[465,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1739","image_path":"images/angle_estimation_1739.png","interior_angles_degrees":[135.144285,23.109294,21.74642],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1739_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1739_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1739_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1739_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1739_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1739,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[207.2533,324.2442],[410.0,324.2442],[55.0,172.7558]]}
+{"canvas_size":[496,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1740","image_path":"images/angle_estimation_1740.png","interior_angles_degrees":[137.964121,15.512422,26.523457],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1740_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1740_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1740_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1740_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1740_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1740,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[173.8384,301.0687],[441.0,301.0687],[55.0,193.9313]]}
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+{"angle_1_degrees":37.396259,"angle_2_degrees":107.652825,"angles":[{"angle_degrees":37.396259,"arc_sweep_degrees":37.396259,"ray_endpoints":[[181.7677,365.4411],[108.9126,402.6087]],"vertex":[121.5,269.04]},{"angle_degrees":107.652825,"arc_sweep_degrees":107.652825,"ray_endpoints":[[248.0685,327.8304],[286.58,143.8389]],"vertex":[328.5,269.04]}],"canvas_size":[450,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1751","image_path":"images/angle_estimation_1751.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1751_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1751_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1751_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1751_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1751_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1751}
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+{"angle_1_degrees":67.555922,"angle_2_degrees":121.743768,"angles":[{"angle_degrees":67.555922,"arc_sweep_degrees":67.555922,"ray_endpoints":[[76.8083,189.8335],[209.83,169.2462]],"vertex":[122.31,275.31]},{"angle_degrees":121.743768,"arc_sweep_degrees":121.743768,"ray_endpoints":[[249.1941,246.739],[432.5026,193.0505]],"vertex":[330.69,275.31]}],"canvas_size":[453,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1753","image_path":"images/angle_estimation_1753.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1753_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1753_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1753_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1753_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1753_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1753}
+{"angle_1_degrees":34.438071,"angle_2_degrees":83.247794,"angles":[{"angle_degrees":34.438071,"arc_sweep_degrees":34.438071,"ray_endpoints":[[51.6976,301.9589],[13.9682,244.0861]],"vertex":[124.74,281.01]},{"angle_degrees":83.247794,"arc_sweep_degrees":83.247794,"ray_endpoints":[[420.2043,330.8406],[284.3699,398.4542]],"vertex":[337.26,281.01]}],"canvas_size":[462,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1754","image_path":"images/angle_estimation_1754.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1754_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1754_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1754_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1754_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1754_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1754}
+{"angle_1_degrees":20.081304,"angle_2_degrees":74.644266,"angles":[{"angle_degrees":20.081304,"arc_sweep_degrees":20.081304,"ray_endpoints":[[144.4009,173.1808],[193.49,148.4042]],"vertex":[134.46,269.61]},{"angle_degrees":74.644266,"arc_sweep_degrees":74.644266,"ray_endpoints":[[405.0384,189.1437],[473.0249,292.733]],"vertex":[363.54,269.61]}],"canvas_size":[498,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1755","image_path":"images/angle_estimation_1755.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1755_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1755_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1755_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1755_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1755_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1755}
+{"canvas_size":[498,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1756","image_path":"images/angle_estimation_1756.png","interior_angles_degrees":[63.922746,38.117865,77.959389],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1756_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1756_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1756_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1756_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1756_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1756,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,358.9816],[443.0,358.9816],[162.6506,139.0184]]}
+{"canvas_size":[493,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1757","image_path":"images/angle_estimation_1757.png","interior_angles_degrees":[68.902741,32.412546,78.684713],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1757_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1757_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1757_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1757_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1757_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1757,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,359.1643],[438.0,359.1643],[130.3603,163.8357]]}
+{"canvas_size":[459,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1758","image_path":"images/angle_estimation_1758.png","interior_angles_degrees":[56.436264,46.189798,77.373939],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1758_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1758_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1758_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1758_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1758_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1758,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,356.0306],[404.0,356.0306],[197.6902,140.9694]]}
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+{"canvas_size":[482,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1760","image_path":"images/angle_estimation_1760.png","interior_angles_degrees":[70.265054,63.02073,46.714216],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1760_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1760_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1760_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1760_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1760_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1760,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[74.3805,449.0],[407.6195,449.0],[212.1367,65.0]]}
+{"angle_degrees":153.652683,"arc_sweep_degrees":153.652683,"canvas_size":[455,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1761","image_path":"images/angle_estimation_1761.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1761_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1761_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1761_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"26","question_id":"angle_estimation_1761_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1761_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[153.7411,119.4927],[329.8839,337.1741]],"scene_type":"single","seed":1761,"vertex":[227.5,262.0]}
+{"angle_degrees":282.395994,"arc_sweep_degrees":282.395994,"canvas_size":[466,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1762","image_path":"images/angle_estimation_1762.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1762_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_1762_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1762_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"102","question_id":"angle_estimation_1762_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1762_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[179.4299,134.1109],[127.8706,276.0644]],"scene_type":"single","seed":1762,"vertex":[233.0,254.5]}
+{"angle_degrees":121.866368,"arc_sweep_degrees":121.866368,"canvas_size":[495,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1763","image_path":"images/angle_estimation_1763.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1763_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_1763_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1763_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"58","question_id":"angle_estimation_1763_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1763_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[316.2538,135.5757],[310.8444,373.1566]],"scene_type":"single","seed":1763,"vertex":[247.5,254.0]}
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+{"angle_degrees":145.997418,"arc_sweep_degrees":145.997418,"canvas_size":[462,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1766","image_path":"images/angle_estimation_1766.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1766_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1766_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1766_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"34","question_id":"angle_estimation_1766_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1766_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[372.4624,153.4383],[188.1607,349.1203]],"scene_type":"single","seed":1766,"vertex":[231.0,246.5]}
+{"angle_degrees":326.708264,"arc_sweep_degrees":326.708264,"canvas_size":[496,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1767","image_path":"images/angle_estimation_1767.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1767_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_1767_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1767_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"147","question_id":"angle_estimation_1767_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1767_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[188.887,390.7291],[272.9044,393.3396]],"scene_type":"single","seed":1767,"vertex":[248.0,253.0]}
+{"angle_degrees":349.185369,"arc_sweep_degrees":349.185369,"canvas_size":[454,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1768","image_path":"images/angle_estimation_1768.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1768_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_1768_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1768_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"169","question_id":"angle_estimation_1768_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1768_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[356.9388,325.5232],[373.9557,301.5597]],"scene_type":"single","seed":1768,"vertex":[227.0,249.0]}
+{"angle_1_degrees":103.866111,"angle_2_degrees":75.914863,"angles":[{"angle_degrees":103.866111,"arc_sweep_degrees":103.866111,"ray_endpoints":[[102.1788,357.4246],[16.076,218.9532]],"vertex":[121.77,272.46]},{"angle_degrees":75.914863,"arc_sweep_degrees":75.914863,"ray_endpoints":[[373.5392,367.1805],[244.8597,341.16]],"vertex":[329.23,272.46]}],"canvas_size":[451,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1769","image_path":"images/angle_estimation_1769.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1769_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1769_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1769_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1769_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1769_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1769}
+{"angle_1_degrees":104.51689,"angle_2_degrees":158.895515,"angles":[{"angle_degrees":104.51689,"arc_sweep_degrees":104.51689,"ray_endpoints":[[71.1122,371.4845],[35.705,183.901]],"vertex":[127.17,271.89]},{"angle_degrees":158.895515,"arc_sweep_degrees":158.895515,"ray_endpoints":[[298.7632,177.4412],[433.0995,356.2699]],"vertex":[343.83,271.89]}],"canvas_size":[471,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1770","image_path":"images/angle_estimation_1770.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1770_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1770_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1770_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1770_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1770_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1770}
+{"angle_1_degrees":21.742584,"angle_2_degrees":81.038283,"angles":[{"angle_degrees":21.742584,"arc_sweep_degrees":21.742584,"ray_endpoints":[[115.6742,197.2987],[161.9316,151.5046]],"vertex":[124.2,282.72]},{"angle_degrees":81.038283,"arc_sweep_degrees":81.038283,"ray_endpoints":[[252.5171,273.4054],[330.2729,160.0643]],"vertex":[335.8,282.72]}],"canvas_size":[460,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1771","image_path":"images/angle_estimation_1771.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1771_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1771_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1771_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1771_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1771_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1771}
+{"angle_1_degrees":130.134734,"angle_2_degrees":50.03986,"angles":[{"angle_degrees":130.134734,"arc_sweep_degrees":130.134734,"ray_endpoints":[[76.9181,344.4977],[89.9139,157.0099]],"vertex":[124.74,270.18]},{"angle_degrees":50.03986,"arc_sweep_degrees":50.03986,"ray_endpoints":[[435.8391,244.5546],[440.6306,343.8277]],"vertex":[337.26,270.18]}],"canvas_size":[462,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1772","image_path":"images/angle_estimation_1772.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1772_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1772_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1772_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1772_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1772_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1772}
+{"angle_1_degrees":17.885402,"angle_2_degrees":28.62361,"angles":[{"angle_degrees":17.885402,"arc_sweep_degrees":17.885402,"ray_endpoints":[[161.5335,185.1316],[218.6221,158.8692]],"vertex":[128.52,263.91]},{"angle_degrees":28.62361,"arc_sweep_degrees":28.62361,"ray_endpoints":[[370.9908,162.0064],[437.5412,162.5263]],"vertex":[347.48,263.91]}],"canvas_size":[476,463],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1773","image_path":"images/angle_estimation_1773.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1773_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1773_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1773_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1773_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1773_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1773}
+{"angle_1_degrees":72.988599,"angle_2_degrees":29.089711,"angles":[{"angle_degrees":72.988599,"arc_sweep_degrees":72.988599,"ray_endpoints":[[31.4382,283.4666],[75.7533,143.9129]],"vertex":[127.17,276.45]},{"angle_degrees":29.089711,"arc_sweep_degrees":29.089711,"ray_endpoints":[[357.2446,370.354],[294.0011,406.5317]],"vertex":[343.83,276.45]}],"canvas_size":[471,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1774","image_path":"images/angle_estimation_1774.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1774_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1774_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1774_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1774_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1774_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1774}
+{"angle_1_degrees":145.813015,"angle_2_degrees":41.964717,"angles":[{"angle_degrees":145.813015,"arc_sweep_degrees":145.813015,"ray_endpoints":[[123.9901,159.2311],[205.3605,364.6611]],"vertex":[127.98,259.92]},{"angle_degrees":41.964717,"arc_sweep_degrees":41.964717,"ray_endpoints":[[368.6433,344.4647],[297.047,356.1016]],"vertex":[346.02,259.92]}],"canvas_size":[474,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1775","image_path":"images/angle_estimation_1775.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1775_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1775_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1775_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1775_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1775_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1775}
+{"canvas_size":[489,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1776","image_path":"images/angle_estimation_1776.png","interior_angles_degrees":[90.941958,42.904467,46.153575],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1776_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1776_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1776_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1776_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1776_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1776,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[60.7915,434.6218],[434.0,434.6218],[55.0,82.3782]]}
+{"canvas_size":[487,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1777","image_path":"images/angle_estimation_1777.png","interior_angles_degrees":[90.572303,43.231209,46.196488],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1777_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1777_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1777_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1777_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1777_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1777,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[58.5402,428.7066],[432.0,428.7066],[55.0,74.2934]]}
+{"canvas_size":[453,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1778","image_path":"images/angle_estimation_1778.png","interior_angles_degrees":[90.708366,25.5311,63.760535],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1778_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1778_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1778_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1778_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1778_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1778,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[57.0256,325.9156],[398.0,325.9156],[55.0,162.0844]]}
+{"canvas_size":[482,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1779","image_path":"images/angle_estimation_1779.png","interior_angles_degrees":[89.011752,38.874681,52.113567],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1779_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1779_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1779_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1779_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1779_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1779,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,396.3908],[427.0,396.3908],[60.1022,100.6092]]}
+{"canvas_size":[483,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1780","image_path":"images/angle_estimation_1780.png","interior_angles_degrees":[89.921441,40.298781,49.779778],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1780_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1780_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1780_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1780_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1780_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1780,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,397.973],[428.0,397.973],[55.4332,82.027]]}
+{"angle_degrees":307.982763,"arc_sweep_degrees":307.982763,"canvas_size":[455,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1781","image_path":"images/angle_estimation_1781.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1781_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_1781_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1781_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"128","question_id":"angle_estimation_1781_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1781_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[325.0569,150.2372],[210.6884,133.1546]],"scene_type":"single","seed":1781,"vertex":[227.5,251.5]}
+{"angle_degrees":45.763691,"arc_sweep_degrees":45.763691,"canvas_size":[481,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1782","image_path":"images/angle_estimation_1782.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1782_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_1782_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1782_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"134","question_id":"angle_estimation_1782_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1782_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[198.9642,386.2147],[125.9469,302.248]],"scene_type":"single","seed":1782,"vertex":[240.5,240.5]}
+{"angle_degrees":330.855028,"arc_sweep_degrees":330.855028,"canvas_size":[481,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1783","image_path":"images/angle_estimation_1783.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1783_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_1783_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1783_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"151","question_id":"angle_estimation_1783_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1783_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[350.6706,169.8965],[298.3922,125.8408]],"scene_type":"single","seed":1783,"vertex":[240.5,249.0]}
+{"angle_degrees":310.01654,"arc_sweep_degrees":310.01654,"canvas_size":[453,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1784","image_path":"images/angle_estimation_1784.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1784_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_1784_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1784_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"130","question_id":"angle_estimation_1784_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1784_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[282.8532,97.0219],[176.1809,144.1371]],"scene_type":"single","seed":1784,"vertex":[226.5,238.0]}
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+{"angle_degrees":20.276463,"arc_sweep_degrees":20.276463,"canvas_size":[465,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1788","image_path":"images/angle_estimation_1788.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1788_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_1788_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1788_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"160","question_id":"angle_estimation_1788_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1788_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[315.5319,386.0149],[262.0685,401.9766]],"scene_type":"single","seed":1788,"vertex":[232.5,249.0]}
+{"angle_1_degrees":28.865857,"angle_2_degrees":89.55476,"angles":[{"angle_degrees":28.865857,"arc_sweep_degrees":28.865857,"ray_endpoints":[[75.3319,225.5636],[93.5067,151.2208]],"vertex":[134.19,282.15]},{"angle_degrees":89.55476,"arc_sweep_degrees":89.55476,"ray_endpoints":[[307.4836,228.9851],[455.8555,183.8032]],"vertex":[362.81,282.15]}],"canvas_size":[497,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1789","image_path":"images/angle_estimation_1789.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1789_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1789_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1789_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1789_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1789_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1789}
+{"angle_1_degrees":39.841102,"angle_2_degrees":58.229295,"angles":[{"angle_degrees":39.841102,"arc_sweep_degrees":39.841102,"ray_endpoints":[[174.661,348.5551],[112.5804,420.1293]],"vertex":[124.2,277.02]},{"angle_degrees":58.229295,"arc_sweep_degrees":58.229295,"ray_endpoints":[[406.2232,244.9423],[439.8588,346.5238]],"vertex":[335.8,277.02]}],"canvas_size":[460,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1790","image_path":"images/angle_estimation_1790.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1790_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1790_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1790_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1790_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1790_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1790}
+{"angle_1_degrees":57.534409,"angle_2_degrees":117.17166,"angles":[{"angle_degrees":57.534409,"arc_sweep_degrees":57.534409,"ray_endpoints":[[136.9511,354.1572],[41.5698,347.7927]],"vertex":[127.44,277.02]},{"angle_degrees":117.17166,"arc_sweep_degrees":117.17166,"ray_endpoints":[[279.8638,205.6285],[451.7275,248.281]],"vertex":[344.56,277.02]}],"canvas_size":[472,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1791","image_path":"images/angle_estimation_1791.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1791_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1791_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1791_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1791_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1791_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1791}
+{"angle_1_degrees":72.986426,"angle_2_degrees":157.710899,"angles":[{"angle_degrees":72.986426,"arc_sweep_degrees":72.986426,"ray_endpoints":[[44.4868,273.9337],[100.7012,167.4009]],"vertex":[134.19,273.03]},{"angle_degrees":157.710899,"arc_sweep_degrees":157.710899,"ray_endpoints":[[303.8922,189.1083],[473.8874,344.1759]],"vertex":[362.81,273.03]}],"canvas_size":[497,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1792","image_path":"images/angle_estimation_1792.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1792_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1792_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1792_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1792_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1792_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1792}
+{"angle_1_degrees":54.673927,"angle_2_degrees":41.899762,"angles":[{"angle_degrees":54.673927,"arc_sweep_degrees":54.673927,"ray_endpoints":[[200.9757,291.5505],[166.6117,378.644]],"vertex":[121.77,274.74]},{"angle_degrees":41.899762,"arc_sweep_degrees":41.899762,"ray_endpoints":[[378.8873,344.5018],[313.8085,411.0224]],"vertex":[329.23,274.74]}],"canvas_size":[451,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1793","image_path":"images/angle_estimation_1793.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1793_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1793_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1793_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1793_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1793_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1793}
+{"angle_1_degrees":45.7228,"angle_2_degrees":135.603623,"angles":[{"angle_degrees":45.7228,"arc_sweep_degrees":45.7228,"ray_endpoints":[[115.4189,381.7245],[17.7959,357.1336]],"vertex":[126.9,270.75]},{"angle_degrees":135.603623,"arc_sweep_degrees":135.603623,"ray_endpoints":[[264.6647,297.2986],[399.6594,159.2837]],"vertex":[343.1,270.75]}],"canvas_size":[470,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1794","image_path":"images/angle_estimation_1794.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1794_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1794_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1794_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1794_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1794_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1794}
+{"angle_1_degrees":36.850434,"angle_2_degrees":100.582123,"angles":[{"angle_degrees":36.850434,"arc_sweep_degrees":36.850434,"ray_endpoints":[[123.2255,177.6759],[205.1049,150.8213]],"vertex":[123.12,259.92]},{"angle_degrees":100.582123,"arc_sweep_degrees":100.582123,"ray_endpoints":[[424.8485,205.976],[380.883,393.169]],"vertex":[332.88,259.92]}],"canvas_size":[456,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1795","image_path":"images/angle_estimation_1795.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1795_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1795_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1795_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1795_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1795_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1795}
+{"canvas_size":[480,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1796","image_path":"images/angle_estimation_1796.png","interior_angles_degrees":[137.07444,17.561453,25.364107],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1796_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1796_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1796_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1796_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1796_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1796,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[180.8987,299.0485],[425.0,299.0485],[55.0,181.9515]]}
+{"canvas_size":[468,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1797","image_path":"images/angle_estimation_1797.png","interior_angles_degrees":[129.856728,20.213369,29.929904],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1797_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1797_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1797_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1797_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1797_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1797,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[165.0439,315.9066],[413.0,315.9066],[55.0,184.0934]]}
+{"canvas_size":[480,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1798","image_path":"images/angle_estimation_1798.png","interior_angles_degrees":[135.61704,14.581758,29.801202],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1798_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1798_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1798_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1798_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1798_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1798,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[153.3478,312.626],[425.0,312.626],[55.0,216.374]]}
+{"canvas_size":[465,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1799","image_path":"images/angle_estimation_1799.png","interior_angles_degrees":[112.27603,28.517539,39.206431],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1799_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1799_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1799_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1799_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1799_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1799,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[134.0157,360.945],[410.0,360.945],[55.0,168.055]]}
+{"canvas_size":[473,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1800","image_path":"images/angle_estimation_1800.png","interior_angles_degrees":[111.797822,37.512804,30.689374],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1800_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1800_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1800_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1800_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1800_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1800,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[166.4472,398.3343],[418.0,398.3343],[55.0,119.6657]]}
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+{"angle_degrees":232.394562,"arc_sweep_degrees":232.394562,"canvas_size":[492,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1802","image_path":"images/angle_estimation_1802.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1802_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_1802_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1802_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"52","question_id":"angle_estimation_1802_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1802_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[123.6069,355.0143],[389.8611,286.845]],"scene_type":"single","seed":1802,"vertex":[246.0,254.0]}
+{"angle_degrees":324.860783,"arc_sweep_degrees":324.860783,"canvas_size":[483,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1803","image_path":"images/angle_estimation_1803.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1803_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_1803_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1803_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"145","question_id":"angle_estimation_1803_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1803_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[207.191,76.3101],[140.1225,150.4202]],"scene_type":"single","seed":1803,"vertex":[241.5,246.5]}
+{"angle_degrees":130.887472,"arc_sweep_degrees":130.887472,"canvas_size":[490,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1804","image_path":"images/angle_estimation_1804.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1804_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1804_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1804_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"49","question_id":"angle_estimation_1804_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1804_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[265.494,413.2051],[124.5092,165.5978]],"scene_type":"single","seed":1804,"vertex":[245.0,246.5]}
+{"angle_degrees":179.999996,"arc_sweep_degrees":179.999996,"canvas_size":[471,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1805","image_path":"images/angle_estimation_1805.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1805_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_1805_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1805_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_1805_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1805_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[185.4371,128.0089],[295.7434,407.8153]],"scene_type":"single","seed":1805,"vertex":[235.5,255.0]}
+{"angle_degrees":344.49549,"arc_sweep_degrees":344.49549,"canvas_size":[454,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1806","image_path":"images/angle_estimation_1806.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1806_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_1806_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1806_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"164","question_id":"angle_estimation_1806_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1806_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[131.1109,153.5849],[123.9637,192.2348]],"scene_type":"single","seed":1806,"vertex":[227.0,253.0]}
+{"angle_degrees":234.772028,"arc_sweep_degrees":234.772028,"canvas_size":[485,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1807","image_path":"images/angle_estimation_1807.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1807_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_1807_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1807_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"55","question_id":"angle_estimation_1807_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1807_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[120.3016,279.2841],[335.528,314.1716]],"scene_type":"single","seed":1807,"vertex":[242.5,242.0]}
+{"angle_degrees":263.579889,"arc_sweep_degrees":263.579889,"canvas_size":[450,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1808","image_path":"images/angle_estimation_1808.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1808_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"270","question_id":"angle_estimation_1808_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1808_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"84","question_id":"angle_estimation_1808_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1808_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[100.8418,281.5409],[285.3763,364.8568]],"scene_type":"single","seed":1808,"vertex":[225.0,238.5]}
+{"angle_1_degrees":76.094739,"angle_2_degrees":24.75305,"angles":[{"angle_degrees":76.094739,"arc_sweep_degrees":76.094739,"ray_endpoints":[[71.7813,353.9017],[30.6549,228.8531]],"vertex":[134.46,283.86]},{"angle_degrees":24.75305,"arc_sweep_degrees":24.75305,"ray_endpoints":[[387.7258,372.763],[342.2674,410.5154]],"vertex":[363.54,283.86]}],"canvas_size":[498,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1809","image_path":"images/angle_estimation_1809.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1809_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1809_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1809_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1809_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1809_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1809}
+{"angle_1_degrees":124.67088,"angle_2_degrees":47.78172,"angles":[{"angle_degrees":124.67088,"arc_sweep_degrees":124.67088,"ray_endpoints":[[28.7263,320.0512],[147.4563,171.5889]],"vertex":[122.58,282.15]},{"angle_degrees":47.78172,"arc_sweep_degrees":47.78172,"ray_endpoints":[[385.0772,362.0005],[301.7038,402.3916]],"vertex":[331.42,282.15]}],"canvas_size":[454,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1810","image_path":"images/angle_estimation_1810.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1810_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1810_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1810_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1810_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1810_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1810}
+{"angle_1_degrees":147.240611,"angle_2_degrees":155.637098,"angles":[{"angle_degrees":147.240611,"arc_sweep_degrees":147.240611,"ray_endpoints":[[226.1339,256.1145],[24.975,356.2506]],"vertex":[130.95,267.9]},{"angle_degrees":155.637098,"arc_sweep_degrees":155.637098,"ray_endpoints":[[325.6993,190.7098],[441.1133,356.4024]],"vertex":[354.05,267.9]}],"canvas_size":[485,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1811","image_path":"images/angle_estimation_1811.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1811_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1811_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1811_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1811_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1811_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1811}
+{"angle_1_degrees":16.971348,"angle_2_degrees":67.640218,"angles":[{"angle_degrees":16.971348,"arc_sweep_degrees":16.971348,"ray_endpoints":[[107.8948,360.879],[65.4108,381.9481]],"vertex":[130.95,282.15]},{"angle_degrees":67.640218,"arc_sweep_degrees":67.640218,"ray_endpoints":[[286.168,244.931],[369.3663,145.0778]],"vertex":[354.05,282.15]}],"canvas_size":[485,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1812","image_path":"images/angle_estimation_1812.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1812_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1812_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1812_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1812_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1812_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1812}
+{"angle_1_degrees":62.791865,"angle_2_degrees":118.627933,"angles":[{"angle_degrees":62.791865,"arc_sweep_degrees":62.791865,"ray_endpoints":[[38.2294,285.0102],[75.1148,184.7188]],"vertex":[129.6,281.58]},{"angle_degrees":118.627933,"arc_sweep_degrees":118.627933,"ray_endpoints":[[275.6998,350.2177],[318.7235,154.0602]],"vertex":[350.4,281.58]}],"canvas_size":[480,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1813","image_path":"images/angle_estimation_1813.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1813_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1813_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1813_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1813_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1813_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1813}
+{"angle_1_degrees":69.337897,"angle_2_degrees":87.138966,"angles":[{"angle_degrees":69.337897,"arc_sweep_degrees":69.337897,"ray_endpoints":[[201.3425,322.3321],[96.6435,367.3761]],"vertex":[134.73,264.48]},{"angle_degrees":87.138966,"arc_sweep_degrees":87.138966,"ray_endpoints":[[433.0902,175.6453],[482.4323,346.9231]],"vertex":[364.27,264.48]}],"canvas_size":[499,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1814","image_path":"images/angle_estimation_1814.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1814_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1814_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1814_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1814_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1814_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1814}
+{"angle_1_degrees":59.608605,"angle_2_degrees":36.961038,"angles":[{"angle_degrees":59.608605,"arc_sweep_degrees":59.608605,"ray_endpoints":[[108.5782,176.5137],[211.917,186.8867]],"vertex":[122.31,261.06]},{"angle_degrees":36.961038,"arc_sweep_degrees":36.961038,"ray_endpoints":[[412.6904,338.7135],[352.4636,389.8128]],"vertex":[330.69,261.06]}],"canvas_size":[453,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1815","image_path":"images/angle_estimation_1815.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1815_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1815_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1815_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1815_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1815_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1815}
+{"canvas_size":[468,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1816","image_path":"images/angle_estimation_1816.png","interior_angles_degrees":[71.135533,48.225186,60.639282],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1816_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1816_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1816_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1816_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1816_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1816,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,389.4397],[413.0,389.4397],[154.0471,99.5603]]}
+{"canvas_size":[484,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1817","image_path":"images/angle_estimation_1817.png","interior_angles_degrees":[57.599698,38.435949,83.964353],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1817_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1817_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1817_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1817_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1817_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1817,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,358.197],[429.0,358.197],[180.2715,160.803]]}
+{"canvas_size":[460,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1818","image_path":"images/angle_estimation_1818.png","interior_angles_degrees":[47.08747,47.85941,85.05312],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1818_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1818_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1818_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1818_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1818_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1818,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,359.8927],[405.0,359.8927],[232.3665,169.1073]]}
+{"canvas_size":[478,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1819","image_path":"images/angle_estimation_1819.png","interior_angles_degrees":[60.999721,43.489979,75.5103],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1819_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1819_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1819_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1819_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1819_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1819,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,360.3948],[423.0,360.3948],[181.8216,131.6052]]}
+{"canvas_size":[459,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1820","image_path":"images/angle_estimation_1820.png","interior_angles_degrees":[56.127655,42.815354,81.05699],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1820_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1820_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1820_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1820_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1820_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1820,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,346.6805],[404.0,346.6805],[188.8254,147.3195]]}
+{"angle_degrees":190.404194,"arc_sweep_degrees":190.404194,"canvas_size":[472,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1821","image_path":"images/angle_estimation_1821.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1821_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_1821_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1821_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"10","question_id":"angle_estimation_1821_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1821_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[102.2441,340.7878],[366.7624,201.4479]],"scene_type":"single","seed":1821,"vertex":[236.0,255.0]}
+{"angle_degrees":133.711992,"arc_sweep_degrees":133.711992,"canvas_size":[500,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1822","image_path":"images/angle_estimation_1822.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1822_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1822_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1822_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"46","question_id":"angle_estimation_1822_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1822_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[290.1441,386.2523],[151.6958,205.5463]],"scene_type":"single","seed":1822,"vertex":[250.0,255.0]}
+{"angle_degrees":12.233635,"arc_sweep_degrees":12.233635,"canvas_size":[467,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1823","image_path":"images/angle_estimation_1823.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1823_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_1823_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1823_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"168","question_id":"angle_estimation_1823_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1823_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[278.8812,95.1296],[294.124,137.3119]],"scene_type":"single","seed":1823,"vertex":[233.5,247.5]}
+{"angle_degrees":149.514372,"arc_sweep_degrees":149.514372,"canvas_size":[464,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1824","image_path":"images/angle_estimation_1824.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1824_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1824_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1824_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"30","question_id":"angle_estimation_1824_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1824_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[381.9184,230.1153],[111.2068,316.8633]],"scene_type":"single","seed":1824,"vertex":[232.0,237.5]}
+{"angle_degrees":59.999968,"arc_sweep_degrees":59.999968,"canvas_size":[451,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1825","image_path":"images/angle_estimation_1825.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1825_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1825_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1825_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_1825_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1825_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[109.9594,321.3031],[131.4218,200.3538]],"scene_type":"single","seed":1825,"vertex":[225.5,255.0]}
+{"angle_degrees":249.301823,"arc_sweep_degrees":249.301823,"canvas_size":[498,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1826","image_path":"images/angle_estimation_1826.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1826_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_1826_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1826_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"69","question_id":"angle_estimation_1826_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1826_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[219.0828,407.7771],[386.7908,239.9279]],"scene_type":"single","seed":1826,"vertex":[249.0,262.0]}
+{"angle_degrees":298.475508,"arc_sweep_degrees":298.475508,"canvas_size":[467,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1827","image_path":"images/angle_estimation_1827.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1827_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_1827_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1827_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"118","question_id":"angle_estimation_1827_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1827_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[382.0229,276.5458],[307.9328,155.4314]],"scene_type":"single","seed":1827,"vertex":[233.5,254.5]}
+{"angle_degrees":26.500501,"arc_sweep_degrees":26.500501,"canvas_size":[491,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1828","image_path":"images/angle_estimation_1828.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1828_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_1828_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1828_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"153","question_id":"angle_estimation_1828_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1828_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[119.9335,252.7679],[104.3286,181.0169]],"scene_type":"single","seed":1828,"vertex":[245.5,256.0]}
+{"angle_1_degrees":111.954355,"angle_2_degrees":74.945923,"angles":[{"angle_degrees":111.954355,"arc_sweep_degrees":111.954355,"ray_endpoints":[[171.522,190.2957],[212.1931,374.9381]],"vertex":[127.44,282.15]},{"angle_degrees":74.945923,"arc_sweep_degrees":74.945923,"ray_endpoints":[[426.8333,251.8395],[425.1842,396.1103]],"vertex":[344.56,282.15]}],"canvas_size":[472,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1829","image_path":"images/angle_estimation_1829.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1829_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1829_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1829_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1829_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1829_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1829}
+{"angle_1_degrees":51.19851,"angle_2_degrees":148.90038,"angles":[{"angle_degrees":51.19851,"arc_sweep_degrees":51.19851,"ray_endpoints":[[213.3736,344.5352],[126.8688,417.6927]],"vertex":[132.03,274.17]},{"angle_degrees":148.90038,"arc_sweep_degrees":148.90038,"ray_endpoints":[[320.6863,176.404],[456.9573,353.8149]],"vertex":[356.97,274.17]}],"canvas_size":[489,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1830","image_path":"images/angle_estimation_1830.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1830_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1830_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1830_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1830_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1830_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1830}
+{"angle_1_degrees":63.377747,"angle_2_degrees":21.560617,"angles":[{"angle_degrees":63.377747,"arc_sweep_degrees":63.377747,"ray_endpoints":[[47.2277,292.3933],[59.7788,176.5085]],"vertex":[130.14,282.15]},{"angle_degrees":21.560617,"arc_sweep_degrees":21.560617,"ray_endpoints":[[336.181,357.1586],[282.1737,387.9669]],"vertex":[351.86,282.15]}],"canvas_size":[482,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1831","image_path":"images/angle_estimation_1831.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1831_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1831_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1831_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1831_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1831_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1831}
+{"angle_1_degrees":138.588427,"angle_2_degrees":35.004874,"angles":[{"angle_degrees":138.588427,"arc_sweep_degrees":138.588427,"ray_endpoints":[[179.2452,181.8669],[165.9744,414.4575]],"vertex":[129.87,282.72]},{"angle_degrees":35.004874,"arc_sweep_degrees":35.004874,"ray_endpoints":[[315.4087,370.8386],[253.0081,346.2674]],"vertex":[351.13,282.72]}],"canvas_size":[481,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1832","image_path":"images/angle_estimation_1832.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1832_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1832_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1832_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1832_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1832_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1832}
+{"angle_1_degrees":100.939551,"angle_2_degrees":57.651635,"angles":[{"angle_degrees":100.939551,"arc_sweep_degrees":100.939551,"ray_endpoints":[[31.9286,291.9327],[123.6913,144.9731]],"vertex":[131.76,265.62]},{"angle_degrees":57.651635,"arc_sweep_degrees":57.651635,"ray_endpoints":[[263.6914,242.1441],[317.3715,146.8064]],"vertex":[356.24,265.62]}],"canvas_size":[488,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1833","image_path":"images/angle_estimation_1833.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1833_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1833_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1833_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1833_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1833_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1833}
+{"angle_1_degrees":59.79861,"angle_2_degrees":38.382504,"angles":[{"angle_degrees":59.79861,"arc_sweep_degrees":59.79861,"ray_endpoints":[[82.9043,200.647],[176.9888,165.6839]],"vertex":[127.98,267.33]},{"angle_degrees":38.382504,"arc_sweep_degrees":38.382504,"ray_endpoints":[[370.7472,192.732],[461.0577,191.826]],"vertex":[346.02,267.33]}],"canvas_size":[474,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1834","image_path":"images/angle_estimation_1834.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1834_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1834_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1834_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1834_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1834_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1834}
+{"angle_1_degrees":72.370778,"angle_2_degrees":118.852069,"angles":[{"angle_degrees":72.370778,"arc_sweep_degrees":72.370778,"ray_endpoints":[[128.3112,394.6053],[16.9401,310.4808]],"vertex":[135.0,280.44]},{"angle_degrees":118.852069,"arc_sweep_degrees":118.852069,"ray_endpoints":[[348.8813,168.5056],[480.9539,324.1576]],"vertex":[365.0,280.44]}],"canvas_size":[500,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1835","image_path":"images/angle_estimation_1835.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1835_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1835_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1835_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1835_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1835_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1835}
+{"canvas_size":[463,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1836","image_path":"images/angle_estimation_1836.png","interior_angles_degrees":[90.436002,52.719116,36.844882],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1836_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1836_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1836_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1836_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1836_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1836,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[87.1395,452.0],[378.8055,452.0],[84.1945,65.0]]}
+{"canvas_size":[482,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1837","image_path":"images/angle_estimation_1837.png","interior_angles_degrees":[90.257298,40.579539,49.163163],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1837_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1837_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1837_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1837_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1837_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1837,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.4308,399.3061],[427.0,399.3061],[55.0,80.6939]]}
+{"canvas_size":[460,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1838","image_path":"images/angle_estimation_1838.png","interior_angles_degrees":[89.112578,37.520348,53.367074],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1838_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1838_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1838_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1838_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1838_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1838,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,387.3014],[405.0,387.3014],[59.1141,121.6986]]}
+{"canvas_size":[453,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1839","image_path":"images/angle_estimation_1839.png","interior_angles_degrees":[90.526998,43.070444,46.402559],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1839_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1839_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1839_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1839_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1839_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1839,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[57.9493,422.321],[398.0,422.321],[55.0,101.679]]}
+{"canvas_size":[479,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1840","image_path":"images/angle_estimation_1840.png","interior_angles_degrees":[90.179266,31.061592,58.759141],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1840_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1840_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1840_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1840_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1840_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1840,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.6954,352.6289],[424.0,352.6289],[55.0,130.3711]]}
+{"angle_degrees":310.27314,"arc_sweep_degrees":310.27314,"canvas_size":[491,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1841","image_path":"images/angle_estimation_1841.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1841_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_1841_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1841_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"130","question_id":"angle_estimation_1841_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1841_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[221.7857,413.3302],[347.735,356.1572]],"scene_type":"single","seed":1841,"vertex":[245.5,242.0]}
+{"angle_degrees":321.73533,"arc_sweep_degrees":321.73533,"canvas_size":[460,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1842","image_path":"images/angle_estimation_1842.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1842_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_1842_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1842_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"142","question_id":"angle_estimation_1842_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1842_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[385.231,300.3429],[358.7521,200.7911]],"scene_type":"single","seed":1842,"vertex":[230.0,241.0]}
+{"angle_degrees":300.234514,"arc_sweep_degrees":300.234514,"canvas_size":[475,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1843","image_path":"images/angle_estimation_1843.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1843_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_1843_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1843_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_1843_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1843_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[83.057,210.736],[158.6111,330.427]],"scene_type":"single","seed":1843,"vertex":[237.5,244.0]}
+{"angle_degrees":142.067322,"arc_sweep_degrees":142.067322,"canvas_size":[483,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1844","image_path":"images/angle_estimation_1844.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1844_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1844_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1844_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"38","question_id":"angle_estimation_1844_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1844_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[353.3385,148.4238],[211.5964,374.25]],"scene_type":"single","seed":1844,"vertex":[241.5,240.5]}
+{"angle_degrees":119.999972,"arc_sweep_degrees":119.999972,"canvas_size":[455,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1845","image_path":"images/angle_estimation_1845.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1845_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_1845_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1845_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"60","question_id":"angle_estimation_1845_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1845_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[316.8426,123.3071],[286.1051,375.9082]],"scene_type":"single","seed":1845,"vertex":[227.5,261.0]}
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+{"angle_degrees":60.122769,"arc_sweep_degrees":60.122769,"canvas_size":[453,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1847","image_path":"images/angle_estimation_1847.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1847_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1847_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1847_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_1847_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1847_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[124.8987,161.3355],[257.7248,103.4046]],"scene_type":"single","seed":1847,"vertex":[226.5,252.0]}
+{"angle_degrees":149.825855,"arc_sweep_degrees":149.825855,"canvas_size":[480,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1848","image_path":"images/angle_estimation_1848.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1848_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1848_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1848_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"30","question_id":"angle_estimation_1848_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1848_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[316.7487,113.8957],[236.9613,349.6231]],"scene_type":"single","seed":1848,"vertex":[240.0,238.0]}
+{"angle_1_degrees":126.587001,"angle_2_degrees":116.429958,"angles":[{"angle_degrees":126.587001,"arc_sweep_degrees":126.587001,"ray_endpoints":[[204.106,270.1529],[34.2171,351.2149]],"vertex":[126.36,258.78]},{"angle_degrees":116.429958,"arc_sweep_degrees":116.429958,"ray_endpoints":[[316.6802,331.2115],[256.2694,172.0764]],"vertex":[341.64,258.78]}],"canvas_size":[468,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1849","image_path":"images/angle_estimation_1849.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1849_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1849_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1849_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1849_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1849_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1849}
+{"angle_1_degrees":82.644977,"angle_2_degrees":13.415819,"angles":[{"angle_degrees":82.644977,"arc_sweep_degrees":82.644977,"ray_endpoints":[[65.8021,198.8418],[213.6325,201.15]],"vertex":[133.92,283.86]},{"angle_degrees":13.415819,"arc_sweep_degrees":13.415819,"ray_endpoints":[[356.5194,395.3939],[326.7939,404.7642]],"vertex":[362.08,283.86]}],"canvas_size":[496,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1850","image_path":"images/angle_estimation_1850.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1850_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1850_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1850_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1850_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1850_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1850}
+{"angle_1_degrees":78.806432,"angle_2_degrees":98.873292,"angles":[{"angle_degrees":78.806432,"arc_sweep_degrees":78.806432,"ray_endpoints":[[224.4951,221.749],[200.7593,371.6361]],"vertex":[128.25,260.49]},{"angle_degrees":98.873292,"arc_sweep_degrees":98.873292,"ray_endpoints":[[392.3342,159.855],[459.3121,334.267]],"vertex":[346.75,260.49]}],"canvas_size":[475,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1851","image_path":"images/angle_estimation_1851.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1851_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1851_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1851_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1851_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1851_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1851}
+{"angle_1_degrees":118.538826,"angle_2_degrees":99.969259,"angles":[{"angle_degrees":118.538826,"arc_sweep_degrees":118.538826,"ray_endpoints":[[203.15,240.8428],[116.4573,395.2367]],"vertex":[122.58,279.3]},{"angle_degrees":99.969259,"arc_sweep_degrees":99.969259,"ray_endpoints":[[394.565,331.8389],[240.8478,356.0268]],"vertex":[331.42,279.3]}],"canvas_size":[454,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1852","image_path":"images/angle_estimation_1852.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1852_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1852_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1852_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1852_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1852_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1852}
+{"angle_1_degrees":68.381124,"angle_2_degrees":29.497309,"angles":[{"angle_degrees":68.381124,"arc_sweep_degrees":68.381124,"ray_endpoints":[[48.9895,321.969],[32.3247,201.3893]],"vertex":[125.55,282.15]},{"angle_degrees":29.497309,"arc_sweep_degrees":29.497309,"ray_endpoints":[[279.5947,207.813],[319.7146,162.2017]],"vertex":[339.45,282.15]}],"canvas_size":[465,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1853","image_path":"images/angle_estimation_1853.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1853_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1853_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1853_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1853_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1853_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1853}
+{"angle_1_degrees":98.387253,"angle_2_degrees":70.774096,"angles":[{"angle_degrees":98.387253,"arc_sweep_degrees":98.387253,"ray_endpoints":[[44.4259,216.5726],[203.9976,162.8725]],"vertex":[127.17,262.77]},{"angle_degrees":70.774096,"arc_sweep_degrees":70.774096,"ray_endpoints":[[252.2338,282.0124],[280.3996,157.5787]],"vertex":[343.83,262.77]}],"canvas_size":[471,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1854","image_path":"images/angle_estimation_1854.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1854_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1854_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1854_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1854_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1854_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1854}
+{"angle_1_degrees":165.194125,"angle_2_degrees":120.558061,"angles":[{"angle_degrees":165.194125,"arc_sweep_degrees":165.194125,"ray_endpoints":[[44.7124,333.5916],[210.0871,162.0665]],"vertex":[126.36,270.75]},{"angle_degrees":120.558061,"arc_sweep_degrees":120.558061,"ray_endpoints":[[410.0471,230.813],[340.9304,415.3876]],"vertex":[341.64,270.75]}],"canvas_size":[468,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1855","image_path":"images/angle_estimation_1855.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1855_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1855_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1855_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1855_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1855_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1855}
+{"canvas_size":[493,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1856","image_path":"images/angle_estimation_1856.png","interior_angles_degrees":[137.410624,22.029541,20.559834],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1856_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1856_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1856_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1856_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1856_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1856,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[223.5933,332.9859],[438.0,332.9859],[55.0,178.0141]]}
+{"canvas_size":[462,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1857","image_path":"images/angle_estimation_1857.png","interior_angles_degrees":[105.448711,41.515729,33.035561],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1857_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1857_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1857_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1857_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1857_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1857,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[141.1128,416.7978],[407.0,416.7978],[55.0,105.2022]]}
+{"canvas_size":[486,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1858","image_path":"images/angle_estimation_1858.png","interior_angles_degrees":[128.48817,21.24579,30.26604],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1858_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1858_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1858_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1858_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1858_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1858,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[171.2328,330.5933],[431.0,330.5933],[55.0,184.4067]]}
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+{"angle_degrees":110.307705,"arc_sweep_degrees":110.307705,"canvas_size":[454,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1864","image_path":"images/angle_estimation_1864.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1864_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_1864_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1864_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"70","question_id":"angle_estimation_1864_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1864_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[250.1264,88.7844],[335.5939,315.9594]],"scene_type":"single","seed":1864,"vertex":[227.0,258.0]}
+{"angle_degrees":89.999996,"arc_sweep_degrees":89.999996,"canvas_size":[494,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1865","image_path":"images/angle_estimation_1865.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"right","question_id":"angle_estimation_1865_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_1865_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"approximately equal to","question_id":"angle_estimation_1865_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"90","question_id":"angle_estimation_1865_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1865_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[304.3463,95.4353],[387.8362,297.1049]],"scene_type":"single","seed":1865,"vertex":[247.0,242.0]}
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+{"angle_degrees":247.960629,"arc_sweep_degrees":247.960629,"canvas_size":[488,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1868","image_path":"images/angle_estimation_1868.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1868_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_1868_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1868_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"68","question_id":"angle_estimation_1868_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1868_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[270.469,104.2344],[118.784,277.7731]],"scene_type":"single","seed":1868,"vertex":[244.0,251.5]}
+{"angle_1_degrees":80.090095,"angle_2_degrees":21.04575,"angles":[{"angle_degrees":80.090095,"arc_sweep_degrees":80.090095,"ray_endpoints":[[72.9941,309.272],[48.3819,180.7221]],"vertex":[134.73,264.48]},{"angle_degrees":21.04575,"arc_sweep_degrees":21.04575,"ray_endpoints":[[448.7971,290.0034],[474.8376,350.3926]],"vertex":[364.27,264.48]}],"canvas_size":[499,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1869","image_path":"images/angle_estimation_1869.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1869_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1869_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1869_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1869_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1869_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1869}
+{"angle_1_degrees":102.225172,"angle_2_degrees":88.864145,"angles":[{"angle_degrees":102.225172,"arc_sweep_degrees":102.225172,"ray_endpoints":[[210.5322,285.3554],[67.9508,368.0579]],"vertex":[127.17,260.49]},{"angle_degrees":88.864145,"arc_sweep_degrees":88.864145,"ray_endpoints":[[444.6722,308.3411],[286.1505,388.5387]],"vertex":[343.83,260.49]}],"canvas_size":[471,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1870","image_path":"images/angle_estimation_1870.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1870_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1870_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1870_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1870_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1870_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1870}
+{"angle_1_degrees":142.722237,"angle_2_degrees":74.658156,"angles":[{"angle_degrees":142.722237,"arc_sweep_degrees":142.722237,"ray_endpoints":[[96.2359,356.3451],[96.1028,158.0763]],"vertex":[129.6,258.78]},{"angle_degrees":74.658156,"arc_sweep_degrees":74.658156,"ray_endpoints":[[462.6208,276.3889],[364.6547,385.3826]],"vertex":[350.4,258.78]}],"canvas_size":[480,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1871","image_path":"images/angle_estimation_1871.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1871_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1871_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1871_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1871_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1871_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1871}
+{"angle_1_degrees":63.589557,"angle_2_degrees":25.24922,"angles":[{"angle_degrees":63.589557,"arc_sweep_degrees":63.589557,"ray_endpoints":[[149.2408,367.8238],[35.5021,341.6957]],"vertex":[126.09,267.33]},{"angle_degrees":25.24922,"arc_sweep_degrees":25.24922,"ray_endpoints":[[335.7661,189.851],[393.2813,134.0427]],"vertex":[340.91,267.33]}],"canvas_size":[467,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1872","image_path":"images/angle_estimation_1872.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1872_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1872_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1872_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1872_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1872_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1872}
+{"angle_1_degrees":142.202111,"angle_2_degrees":43.252951,"angles":[{"angle_degrees":142.202111,"arc_sweep_degrees":142.202111,"ray_endpoints":[[218.4899,286.3557],[33.4941,352.9987]],"vertex":[135.0,282.15]},{"angle_degrees":43.252951,"arc_sweep_degrees":43.252951,"ray_endpoints":[[345.8193,200.6667],[433.4897,163.5558]],"vertex":[365.0,282.15]}],"canvas_size":[500,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1873","image_path":"images/angle_estimation_1873.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1873_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1873_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1873_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1873_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1873_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1873}
+{"angle_1_degrees":68.957205,"angle_2_degrees":150.121566,"angles":[{"angle_degrees":68.957205,"arc_sweep_degrees":68.957205,"ray_endpoints":[[196.092,332.5441],[101.877,390.5234]],"vertex":[132.03,284.43]},{"angle_degrees":150.121566,"arc_sweep_degrees":150.121566,"ray_endpoints":[[276.8864,306.902],[442.762,196.966]],"vertex":[356.97,284.43]}],"canvas_size":[489,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1874","image_path":"images/angle_estimation_1874.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1874_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1874_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1874_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1874_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1874_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1874}
+{"angle_1_degrees":21.804678,"angle_2_degrees":73.626149,"angles":[{"angle_degrees":21.804678,"arc_sweep_degrees":21.804678,"ray_endpoints":[[43.7497,189.8458],[75.9063,160.0978]],"vertex":[125.55,266.76]},{"angle_degrees":73.626149,"arc_sweep_degrees":73.626149,"ray_endpoints":[[439.0389,228.5746],[411.7255,361.4561]],"vertex":[339.45,266.76]}],"canvas_size":[465,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1875","image_path":"images/angle_estimation_1875.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1875_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1875_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1875_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1875_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1875_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1875}
+{"canvas_size":[474,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1876","image_path":"images/angle_estimation_1876.png","interior_angles_degrees":[65.537296,66.088088,48.374616],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1876_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1876_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_1876_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1876_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1876_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1876,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[64.521,449.0],[409.479,449.0],[239.2181,65.0]]}
+{"canvas_size":[459,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1877","image_path":"images/angle_estimation_1877.png","interior_angles_degrees":[65.687656,37.536168,76.776176],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1877_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1877_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1877_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1877_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1877_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1877,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,361.0266],[404.0,361.0266],[144.9276,161.9734]]}
+{"canvas_size":[484,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1878","image_path":"images/angle_estimation_1878.png","interior_angles_degrees":[53.329053,61.599785,65.071163],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1878_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1878_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1878_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1878_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1878_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1878,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,394.9923],[429.0,394.9923],[271.6638,104.0077]]}
+{"canvas_size":[498,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1879","image_path":"images/angle_estimation_1879.png","interior_angles_degrees":[64.689816,69.469844,45.84034],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1879_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1879_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_1879_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1879_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1879_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1879,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[82.9096,457.0],[415.0904,457.0],[268.2924,65.0]]}
+{"canvas_size":[499,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1880","image_path":"images/angle_estimation_1880.png","interior_angles_degrees":[65.230285,59.89514,54.874575],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1880_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1880_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1880_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1880_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1880_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1880,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,450.8007],[444.0,450.8007],[227.3885,77.1993]]}
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+{"angle_1_degrees":56.492576,"angle_2_degrees":33.992641,"angles":[{"angle_degrees":56.492576,"arc_sweep_degrees":56.492576,"ray_endpoints":[[218.905,242.7205],[215.4207,344.5699]],"vertex":[133.65,257.07]},{"angle_degrees":33.992641,"arc_sweep_degrees":33.992641,"ray_endpoints":[[451.3875,213.2635],[470.6494,272.5245]],"vertex":[361.35,257.07]}],"canvas_size":[495,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1891","image_path":"images/angle_estimation_1891.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1891_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1891_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1891_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1891_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1891_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1891}
+{"angle_1_degrees":150.200744,"angle_2_degrees":33.398207,"angles":[{"angle_degrees":150.200744,"arc_sweep_degrees":150.200744,"ray_endpoints":[[55.995,325.6996],[176.8132,161.3675]],"vertex":[132.3,267.33]},{"angle_degrees":33.398207,"arc_sweep_degrees":33.398207,"ray_endpoints":[[462.1137,280.606],[458.4382,353.8085]],"vertex":[357.7,267.33]}],"canvas_size":[490,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1892","image_path":"images/angle_estimation_1892.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1892_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1892_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_1892_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1892_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1892_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1892}
+{"angle_1_degrees":99.508372,"angle_2_degrees":51.35403,"angles":[{"angle_degrees":99.508372,"arc_sweep_degrees":99.508372,"ray_endpoints":[[33.1091,251.0144],[180.8448,146.3378]],"vertex":[134.19,270.75]},{"angle_degrees":51.35403,"arc_sweep_degrees":51.35403,"ray_endpoints":[[288.6212,212.651],[361.3408,125.7778]],"vertex":[362.81,270.75]}],"canvas_size":[497,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1893","image_path":"images/angle_estimation_1893.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1893_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1893_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1893_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1893_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1893_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1893}
+{"angle_1_degrees":16.442295,"angle_2_degrees":79.035707,"angles":[{"angle_degrees":16.442295,"arc_sweep_degrees":16.442295,"ray_endpoints":[[64.3693,222.4057],[66.7925,183.8926]],"vertex":[134.73,275.31]},{"angle_degrees":79.035707,"arc_sweep_degrees":79.035707,"ray_endpoints":[[321.2186,187.5021],[460.1191,202.8657]],"vertex":[364.27,275.31]}],"canvas_size":[499,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1894","image_path":"images/angle_estimation_1894.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1894_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1894_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1894_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1894_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1894_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1894}
+{"angle_1_degrees":62.732528,"angle_2_degrees":125.300194,"angles":[{"angle_degrees":62.732528,"arc_sweep_degrees":62.732528,"ray_endpoints":[[201.8751,311.1945],[128.2306,401.0516]],"vertex":[126.63,273.6]},{"angle_degrees":125.300194,"arc_sweep_degrees":125.300194,"ray_endpoints":[[428.0428,223.2702],[330.8119,409.3258]],"vertex":[342.37,273.6]}],"canvas_size":[469,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1895","image_path":"images/angle_estimation_1895.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1895_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1895_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1895_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1895_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1895_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1895}
+{"canvas_size":[493,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1896","image_path":"images/angle_estimation_1896.png","interior_angles_degrees":[89.557769,53.969836,36.472395],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1896_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1896_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1896_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1896_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1896_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1896,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[115.6583,421.0],[377.3417,421.0],[118.4061,65.0]]}
+{"canvas_size":[481,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1897","image_path":"images/angle_estimation_1897.png","interior_angles_degrees":[90.681664,52.546324,36.772013],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1897_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1897_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1897_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1897_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1897_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1897,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[103.1842,435.0],[382.218,435.0],[98.782,65.0]]}
+{"canvas_size":[469,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1898","image_path":"images/angle_estimation_1898.png","interior_angles_degrees":[90.662031,44.603699,44.734271],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1898_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1898_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1898_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1898_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1898_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1898,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[59.0913,437.5339],[414.0,437.5339],[55.0,83.4661]]}
+{"canvas_size":[459,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1899","image_path":"images/angle_estimation_1899.png","interior_angles_degrees":[89.062507,45.077537,45.859956],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1899_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1899_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1899_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1899_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1899_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1899,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,413.1483],[404.0,413.1483],[60.634,68.8517]]}
+{"canvas_size":[452,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1900","image_path":"images/angle_estimation_1900.png","interior_angles_degrees":[89.358053,52.506697,38.13525],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1900_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1900_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1900_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1900_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1900_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1900,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[80.8385,438.0],[371.1615,438.0],[85.0178,65.0]]}
+{"angle_degrees":44.551095,"arc_sweep_degrees":44.551095,"canvas_size":[483,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1901","image_path":"images/angle_estimation_1901.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1901_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_1901_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1901_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"135","question_id":"angle_estimation_1901_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1901_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[177.5077,133.6788],[284.8333,122.841]],"scene_type":"single","seed":1901,"vertex":[241.5,259.5]}
+{"angle_degrees":276.087046,"arc_sweep_degrees":276.087046,"canvas_size":[451,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1902","image_path":"images/angle_estimation_1902.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1902_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"270","question_id":"angle_estimation_1902_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1902_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"96","question_id":"angle_estimation_1902_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1902_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[134.4145,138.2565],[134.8286,304.7948]],"scene_type":"single","seed":1902,"vertex":[225.5,238.5]}
+{"angle_degrees":72.170007,"arc_sweep_degrees":72.170007,"canvas_size":[494,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1903","image_path":"images/angle_estimation_1903.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1903_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1903_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1903_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"108","question_id":"angle_estimation_1903_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1903_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[386.3881,250.7726],[304.9243,406.1703]],"scene_type":"single","seed":1903,"vertex":[247.0,260.0]}
+{"angle_degrees":54.376337,"arc_sweep_degrees":54.376337,"canvas_size":[480,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1904","image_path":"images/angle_estimation_1904.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1904_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1904_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1904_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"126","question_id":"angle_estimation_1904_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1904_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[187.41,398.6953],[129.6972,282.3069]],"scene_type":"single","seed":1904,"vertex":[240.0,250.5]}
+{"angle_degrees":179.999987,"arc_sweep_degrees":179.999987,"canvas_size":[456,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1905","image_path":"images/angle_estimation_1905.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1905_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_1905_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1905_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_1905_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1905_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[264.7966,416.4653],[203.5872,159.5197]],"scene_type":"single","seed":1905,"vertex":[228.0,262.0]}
+{"angle_degrees":318.10393,"arc_sweep_degrees":318.10393,"canvas_size":[463,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1906","image_path":"images/angle_estimation_1906.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1906_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_1906_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1906_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"138","question_id":"angle_estimation_1906_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1906_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[295.6069,124.104],[191.637,100.2957]],"scene_type":"single","seed":1906,"vertex":[231.5,250.0]}
+{"angle_degrees":202.988012,"arc_sweep_degrees":202.988012,"canvas_size":[465,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1907","image_path":"images/angle_estimation_1907.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1907_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_1907_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1907_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"23","question_id":"angle_estimation_1907_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1907_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[297.8193,84.9821],[135.9829,337.3115]],"scene_type":"single","seed":1907,"vertex":[232.5,242.5]}
+{"angle_degrees":170.449163,"arc_sweep_degrees":170.449163,"canvas_size":[463,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1908","image_path":"images/angle_estimation_1908.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1908_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_1908_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1908_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"10","question_id":"angle_estimation_1908_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1908_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[261.5222,387.5241],[175.7949,123.3632]],"scene_type":"single","seed":1908,"vertex":[231.5,257.5]}
+{"angle_1_degrees":115.145361,"angle_2_degrees":38.225395,"angles":[{"angle_degrees":115.145361,"arc_sweep_degrees":115.145361,"ray_endpoints":[[56.0097,311.7692],[100.1732,124.4697]],"vertex":[126.09,261.06]},{"angle_degrees":38.225395,"arc_sweep_degrees":38.225395,"ray_endpoints":[[415.8387,274.2976],[416.2585,345.4643]],"vertex":[340.91,261.06]}],"canvas_size":[467,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1909","image_path":"images/angle_estimation_1909.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1909_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1909_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1909_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1909_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1909_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1909}
+{"angle_1_degrees":31.867936,"angle_2_degrees":54.803273,"angles":[{"angle_degrees":31.867936,"arc_sweep_degrees":31.867936,"ray_endpoints":[[48.6228,356.2525],[12.2505,306.1808]],"vertex":[122.31,274.17]},{"angle_degrees":54.803273,"arc_sweep_degrees":54.803273,"ray_endpoints":[[428.5368,289.6281],[393.462,401.6318]],"vertex":[330.69,274.17]}],"canvas_size":[453,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1910","image_path":"images/angle_estimation_1910.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1910_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1910_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1910_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1910_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1910_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1910}
+{"angle_1_degrees":133.81933,"angle_2_degrees":43.247544,"angles":[{"angle_degrees":133.81933,"arc_sweep_degrees":133.81933,"ray_endpoints":[[199.7053,355.9993],[14.8208,280.2516]],"vertex":[127.44,280.44]},{"angle_degrees":43.247544,"arc_sweep_degrees":43.247544,"ray_endpoints":[[335.63,205.9275],[413.3598,187.1682]],"vertex":[344.56,280.44]}],"canvas_size":[472,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1911","image_path":"images/angle_estimation_1911.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1911_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1911_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1911_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1911_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1911_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1911}
+{"angle_1_degrees":101.296058,"angle_2_degrees":112.745191,"angles":[{"angle_degrees":101.296058,"arc_sweep_degrees":101.296058,"ray_endpoints":[[183.8634,235.6332],[184.3965,409.3479]],"vertex":[122.31,282.72]},{"angle_degrees":112.745191,"arc_sweep_degrees":112.745191,"ray_endpoints":[[423.3848,263.1033],[304.0774,422.2788]],"vertex":[330.69,282.72]}],"canvas_size":[453,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1912","image_path":"images/angle_estimation_1912.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1912_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1912_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1912_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1912_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1912_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1912}
+{"angle_1_degrees":35.062792,"angle_2_degrees":57.489061,"angles":[{"angle_degrees":35.062792,"arc_sweep_degrees":35.062792,"ray_endpoints":[[195.8994,359.3434],[133.9049,398.2166]],"vertex":[130.14,271.32]},{"angle_degrees":57.489061,"arc_sweep_degrees":57.489061,"ray_endpoints":[[283.6497,181.6935],[395.0406,154.0602]],"vertex":[351.86,271.32]}],"canvas_size":[482,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1913","image_path":"images/angle_estimation_1913.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1913_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1913_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1913_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1913_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1913_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1913}
+{"angle_1_degrees":157.285327,"angle_2_degrees":34.008393,"angles":[{"angle_degrees":157.285327,"arc_sweep_degrees":157.285327,"ray_endpoints":[[102.7983,349.9793],[95.5939,122.4435]],"vertex":[121.5,265.05]},{"angle_degrees":34.008393,"arc_sweep_degrees":34.008393,"ray_endpoints":[[384.2024,361.2181],[319.5997,394.6658]],"vertex":[328.5,265.05]}],"canvas_size":[450,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1914","image_path":"images/angle_estimation_1914.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1914_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1914_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_1914_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1914_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1914_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1914}
+{"angle_1_degrees":62.230983,"angle_2_degrees":73.229539,"angles":[{"angle_degrees":62.230983,"arc_sweep_degrees":62.230983,"ray_endpoints":[[177.3596,344.3992],[50.8118,377.7764]],"vertex":[130.41,258.21]},{"angle_degrees":73.229539,"arc_sweep_degrees":73.229539,"ray_endpoints":[[414.1521,347.5835],[262.6868,370.549]],"vertex":[352.59,258.21]}],"canvas_size":[483,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1915","image_path":"images/angle_estimation_1915.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1915_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1915_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1915_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1915_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1915_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1915}
+{"canvas_size":[452,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1916","image_path":"images/angle_estimation_1916.png","interior_angles_degrees":[139.776945,12.777712,27.445343],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1916_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1916_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1916_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1916_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1916_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1916,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[146.7057,278.7803],[397.0,278.7803],[55.0,201.2197]]}
+{"canvas_size":[464,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1917","image_path":"images/angle_estimation_1917.png","interior_angles_degrees":[126.209195,17.946612,35.844193],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1917_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1917_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1917_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1917_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1917_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1917,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[138.9445,299.3285],[409.0,299.3285],[55.0,184.6715]]}
+{"canvas_size":[454,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1918","image_path":"images/angle_estimation_1918.png","interior_angles_degrees":[109.644366,32.188387,38.167247],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1918_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1918_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1918_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1918_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1918_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1918,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[132.2922,366.7655],[399.0,366.7655],[55.0,150.2345]]}
+{"canvas_size":[471,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1919","image_path":"images/angle_estimation_1919.png","interior_angles_degrees":[101.96824,25.213629,52.818131],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1919_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1919_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1919_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1919_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1919_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1919,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[91.0316,327.9893],[416.0,327.9893],[55.0,158.0107]]}
+{"canvas_size":[481,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1920","image_path":"images/angle_estimation_1920.png","interior_angles_degrees":[113.147216,31.90016,34.952624],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1920_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1920_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1920_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1920_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1920_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1920,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[153.7244,362.9643],[426.0,362.9643],[55.0,132.0357]]}
+{"angle_degrees":13.499973,"arc_sweep_degrees":13.499973,"canvas_size":[489,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1921","image_path":"images/angle_estimation_1921.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1921_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_1921_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1921_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"167","question_id":"angle_estimation_1921_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1921_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[117.9005,300.1512],[98.195,270.5573]],"scene_type":"single","seed":1921,"vertex":[244.5,258.5]}
+{"angle_degrees":22.086091,"arc_sweep_degrees":22.086091,"canvas_size":[452,455],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1922","image_path":"images/angle_estimation_1922.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1922_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_1922_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1922_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"158","question_id":"angle_estimation_1922_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1922_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[244.7819,380.8155],[188.2932,385.1397]],"scene_type":"single","seed":1922,"vertex":[226.0,239.5]}
+{"angle_degrees":153.314685,"arc_sweep_degrees":153.314685,"canvas_size":[481,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1923","image_path":"images/angle_estimation_1923.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1923_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1923_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1923_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"27","question_id":"angle_estimation_1923_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1923_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[71.9642,225.3565],[391.4883,218.3845]],"scene_type":"single","seed":1923,"vertex":[240.5,259.5]}
+{"angle_degrees":314.123651,"arc_sweep_degrees":314.123651,"canvas_size":[468,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1924","image_path":"images/angle_estimation_1924.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1924_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_1924_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1924_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"134","question_id":"angle_estimation_1924_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1924_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[114.5117,213.596],[117.5336,313.4513]],"scene_type":"single","seed":1924,"vertex":[234.0,260.0]}
+{"angle_degrees":29.999988,"arc_sweep_degrees":29.999988,"canvas_size":[459,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1925","image_path":"images/angle_estimation_1925.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1925_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_1925_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1925_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_1925_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1925_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[92.5442,323.5562],[120.2865,243.4745]],"scene_type":"single","seed":1925,"vertex":[229.5,242.0]}
+{"angle_degrees":236.43967,"arc_sweep_degrees":236.43967,"canvas_size":[498,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1926","image_path":"images/angle_estimation_1926.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1926_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_1926_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1926_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"56","question_id":"angle_estimation_1926_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1926_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[319.4153,407.561],[311.8864,154.4737]],"scene_type":"single","seed":1926,"vertex":[249.0,258.5]}
+{"angle_degrees":289.816843,"arc_sweep_degrees":289.816843,"canvas_size":[492,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1927","image_path":"images/angle_estimation_1927.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1927_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_1927_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1927_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"110","question_id":"angle_estimation_1927_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1927_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[83.9705,315.0523],[243.9074,422.2604]],"scene_type":"single","seed":1927,"vertex":[246.0,259.0]}
+{"angle_degrees":324.07391,"arc_sweep_degrees":324.07391,"canvas_size":[458,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1928","image_path":"images/angle_estimation_1928.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1928_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_1928_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1928_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"144","question_id":"angle_estimation_1928_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1928_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[248.4113,88.3841],[174.8618,144.402]],"scene_type":"single","seed":1928,"vertex":[229.0,243.0]}
+{"angle_1_degrees":45.220329,"angle_2_degrees":36.158038,"angles":[{"angle_degrees":45.220329,"arc_sweep_degrees":45.220329,"ray_endpoints":[[87.1833,173.2151],[177.5448,161.882]],"vertex":[134.73,276.45]},{"angle_degrees":36.158038,"arc_sweep_degrees":36.158038,"ray_endpoints":[[325.8194,178.3051],[399.2891,143.5709]],"vertex":[364.27,276.45]}],"canvas_size":[499,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1929","image_path":"images/angle_estimation_1929.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1929_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1929_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1929_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1929_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1929_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1929}
+{"angle_1_degrees":152.903257,"angle_2_degrees":29.038517,"angles":[{"angle_degrees":152.903257,"arc_sweep_degrees":152.903257,"ray_endpoints":[[117.412,355.617],[95.3442,130.1116]],"vertex":[134.73,265.05]},{"angle_degrees":29.038517,"arc_sweep_degrees":29.038517,"ray_endpoints":[[355.3028,173.1856],[421.3038,133.6514]],"vertex":[364.27,265.05]}],"canvas_size":[499,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1930","image_path":"images/angle_estimation_1930.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1930_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1930_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_1930_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1930_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1930_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1930}
+{"angle_1_degrees":12.085682,"angle_2_degrees":37.806474,"angles":[{"angle_degrees":12.085682,"arc_sweep_degrees":12.085682,"ray_endpoints":[[121.5318,195.9316],[140.2763,139.1927]],"vertex":[135.0,273.6]},{"angle_degrees":37.806474,"arc_sweep_degrees":37.806474,"ray_endpoints":[[394.6754,345.4436],[331.4198,395.8193]],"vertex":[365.0,273.6]}],"canvas_size":[500,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1931","image_path":"images/angle_estimation_1931.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1931_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1931_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1931_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1931_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1931_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1931}
+{"angle_1_degrees":17.957695,"angle_2_degrees":67.962746,"angles":[{"angle_degrees":17.957695,"arc_sweep_degrees":17.957695,"ray_endpoints":[[32.5904,317.5341],[13.338,286.8396]],"vertex":[127.17,257.64]},{"angle_degrees":67.962746,"arc_sweep_degrees":67.962746,"ray_endpoints":[[448.8362,292.6718],[350.9189,370.702]],"vertex":[343.83,257.64]}],"canvas_size":[471,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1932","image_path":"images/angle_estimation_1932.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1932_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1932_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1932_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1932_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1932_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1932}
+{"angle_1_degrees":60.704898,"angle_2_degrees":132.084528,"angles":[{"angle_degrees":60.704898,"arc_sweep_degrees":60.704898,"ray_endpoints":[[203.0708,324.2701],[109.5984,384.2109]],"vertex":[126.9,265.62]},{"angle_degrees":132.084528,"arc_sweep_degrees":132.084528,"ray_endpoints":[[387.9372,170.8277],[392.2508,383.6908]],"vertex":[343.1,265.62]}],"canvas_size":[470,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1933","image_path":"images/angle_estimation_1933.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1933_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1933_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1933_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1933_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1933_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1933}
+{"angle_1_degrees":131.174381,"angle_2_degrees":17.261859,"angles":[{"angle_degrees":131.174381,"arc_sweep_degrees":131.174381,"ray_endpoints":[[208.5755,239.2242],[64.8501,384.7141]],"vertex":[126.09,261.06]},{"angle_degrees":17.261859,"arc_sweep_degrees":17.261859,"ray_endpoints":[[258.1688,210.0396],[261.1797,169.596]],"vertex":[340.91,261.06]}],"canvas_size":[467,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1934","image_path":"images/angle_estimation_1934.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1934_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1934_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_1934_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1934_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1934_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1934}
+{"angle_1_degrees":24.603374,"angle_2_degrees":63.201037,"angles":[{"angle_degrees":24.603374,"arc_sweep_degrees":24.603374,"ray_endpoints":[[196.6065,354.6957],[164.9026,396.0083]],"vertex":[123.93,279.3]},{"angle_degrees":63.201037,"arc_sweep_degrees":63.201037,"ray_endpoints":[[310.9474,177.3094],[421.0286,206.901]],"vertex":[335.07,279.3]}],"canvas_size":[459,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1935","image_path":"images/angle_estimation_1935.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1935_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1935_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1935_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1935_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1935_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1935}
+{"canvas_size":[473,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1936","image_path":"images/angle_estimation_1936.png","interior_angles_degrees":[49.334629,46.367788,84.297583],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1936_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1936_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1936_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1936_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1936_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1936,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,356.641],[418.0,356.641],[227.0592,156.359]]}
+{"canvas_size":[487,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1937","image_path":"images/angle_estimation_1937.png","interior_angles_degrees":[55.779663,48.415872,75.804465],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1937_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1937_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1937_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1937_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1937_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1937,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,364.7579],[432.0,364.7579],[218.5792,124.2421]]}
+{"canvas_size":[483,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1938","image_path":"images/angle_estimation_1938.png","interior_angles_degrees":[62.675699,34.913364,82.410937],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1938_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1938_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1938_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1938_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1938_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1938,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,356.169],[428.0,356.169],[153.8597,164.831]]}
+{"canvas_size":[486,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1939","image_path":"images/angle_estimation_1939.png","interior_angles_degrees":[50.789394,50.099363,79.111243],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1939_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1939_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1939_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1939_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1939_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1939,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,361.2989],[431.0,361.2989],[240.6944,133.7011]]}
+{"canvas_size":[496,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1940","image_path":"images/angle_estimation_1940.png","interior_angles_degrees":[52.119783,58.629241,69.250975],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1940_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1940_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1940_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1940_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1940_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1940,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,388.0864],[441.0,388.0864],[271.3974,109.9136]]}
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+{"angle_degrees":150.633094,"arc_sweep_degrees":150.633094,"canvas_size":[468,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1942","image_path":"images/angle_estimation_1942.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1942_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_1942_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1942_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"29","question_id":"angle_estimation_1942_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1942_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[394.9051,267.3747],[126.3717,273.3815]],"scene_type":"single","seed":1942,"vertex":[234.0,237.0]}
+{"angle_degrees":29.408074,"arc_sweep_degrees":29.408074,"canvas_size":[494,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1943","image_path":"images/angle_estimation_1943.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1943_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_1943_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1943_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"151","question_id":"angle_estimation_1943_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1943_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[162.18,374.0746],[138.3587,307.3618]],"scene_type":"single","seed":1943,"vertex":[247.0,258.0]}
+{"angle_degrees":100.297542,"arc_sweep_degrees":100.297542,"canvas_size":[453,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1944","image_path":"images/angle_estimation_1944.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1944_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_1944_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1944_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"80","question_id":"angle_estimation_1944_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1944_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[337.9688,372.4846],[119.9303,318.2159]],"scene_type":"single","seed":1944,"vertex":[226.5,251.0]}
+{"angle_degrees":45.000011,"arc_sweep_degrees":45.000011,"canvas_size":[476,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1945","image_path":"images/angle_estimation_1945.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1945_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_1945_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1945_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"135","question_id":"angle_estimation_1945_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1945_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[202.034,416.7636],[102.9606,334.4382]],"scene_type":"single","seed":1945,"vertex":[238.0,246.5]}
+{"angle_degrees":81.45258,"arc_sweep_degrees":81.45258,"canvas_size":[463,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1946","image_path":"images/angle_estimation_1946.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1946_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1946_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1946_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"99","question_id":"angle_estimation_1946_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1946_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[382.608,249.616],[243.5933,380.8825]],"scene_type":"single","seed":1946,"vertex":[231.5,240.0]}
+{"angle_degrees":198.698811,"arc_sweep_degrees":198.698811,"canvas_size":[496,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1947","image_path":"images/angle_estimation_1947.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1947_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_1947_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1947_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"19","question_id":"angle_estimation_1947_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1947_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[171.7179,155.4453],[286.6194,378.7104]],"scene_type":"single","seed":1947,"vertex":[248.0,258.5]}
+{"angle_degrees":128.873155,"arc_sweep_degrees":128.873155,"canvas_size":[476,463],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1948","image_path":"images/angle_estimation_1948.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1948_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_1948_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1948_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"51","question_id":"angle_estimation_1948_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1948_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[363.7277,149.5453],[233.456,367.2527]],"scene_type":"single","seed":1948,"vertex":[238.0,243.5]}
+{"angle_1_degrees":117.459345,"angle_2_degrees":54.197944,"angles":[{"angle_degrees":117.459345,"arc_sweep_degrees":117.459345,"ray_endpoints":[[97.292,354.5576],[43.7053,168.6006]],"vertex":[130.95,283.29]},{"angle_degrees":54.197944,"arc_sweep_degrees":54.197944,"ray_endpoints":[[257.926,290.0622],[276.9733,190.8848]],"vertex":[354.05,283.29]}],"canvas_size":[485,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1949","image_path":"images/angle_estimation_1949.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1949_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1949_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1949_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1949_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1949_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1949}
+{"angle_1_degrees":141.434899,"angle_2_degrees":19.846379,"angles":[{"angle_degrees":141.434899,"arc_sweep_degrees":141.434899,"ray_endpoints":[[80.9305,376.3926],[95.644,159.4191]],"vertex":[125.55,278.16]},{"angle_degrees":19.846379,"arc_sweep_degrees":19.846379,"ray_endpoints":[[393.2336,337.1437],[380.2762,376.6581]],"vertex":[339.45,278.16]}],"canvas_size":[465,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1950","image_path":"images/angle_estimation_1950.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1950_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1950_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_1950_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1950_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1950_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1950}
+{"angle_1_degrees":76.568549,"angle_2_degrees":21.509817,"angles":[{"angle_degrees":76.568549,"arc_sweep_degrees":76.568549,"ray_endpoints":[[62.1797,206.7831],[192.9065,170.746]],"vertex":[123.66,273.6]},{"angle_degrees":21.509817,"arc_sweep_degrees":21.509817,"ray_endpoints":[[388.788,366.734],[354.2888,402.4377]],"vertex":[334.34,273.6]}],"canvas_size":[458,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1951","image_path":"images/angle_estimation_1951.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1951_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1951_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1951_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1951_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1951_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1951}
+{"angle_1_degrees":127.036531,"angle_2_degrees":65.561068,"angles":[{"angle_degrees":127.036531,"arc_sweep_degrees":127.036531,"ray_endpoints":[[207.0132,306.1617],[34.7635,317.5356]],"vertex":[133.65,269.04]},{"angle_degrees":65.561068,"arc_sweep_degrees":65.561068,"ray_endpoints":[[422.7686,333.8538],[320.4663,369.7156]],"vertex":[361.35,269.04]}],"canvas_size":[495,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1952","image_path":"images/angle_estimation_1952.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1952_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1952_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1952_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1952_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1952_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1952}
+{"angle_1_degrees":90.506171,"angle_2_degrees":143.844111,"angles":[{"angle_degrees":90.506171,"arc_sweep_degrees":90.506171,"ray_endpoints":[[47.7705,313.5979],[74.1931,155.3473]],"vertex":[133.92,266.19]},{"angle_degrees":143.844111,"arc_sweep_degrees":143.844111,"ray_endpoints":[[459.537,261.8333],[270.8797,339.2958]],"vertex":[362.08,266.19]}],"canvas_size":[496,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1953","image_path":"images/angle_estimation_1953.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1953_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1953_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1953_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1953_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1953_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1953}
+{"angle_1_degrees":68.436968,"angle_2_degrees":26.89758,"angles":[{"angle_degrees":68.436968,"arc_sweep_degrees":68.436968,"ray_endpoints":[[46.0245,290.1048],[59.1261,159.3024]],"vertex":[132.3,273.03]},{"angle_degrees":26.89758,"arc_sweep_degrees":26.89758,"ray_endpoints":[[374.9578,384.2438],[321.2828,384.6005]],"vertex":[357.7,273.03]}],"canvas_size":[490,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1954","image_path":"images/angle_estimation_1954.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1954_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1954_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_1954_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1954_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1954_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1954}
+{"angle_1_degrees":155.10007,"angle_2_degrees":37.755845,"angles":[{"angle_degrees":155.10007,"arc_sweep_degrees":155.10007,"ray_endpoints":[[92.0724,343.1881],[139.8935,135.4575]],"vertex":[134.19,262.2]},{"angle_degrees":37.755845,"arc_sweep_degrees":37.755845,"ray_endpoints":[[438.1963,336.0441],[380.3146,389.3882]],"vertex":[362.81,262.2]}],"canvas_size":[497,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1955","image_path":"images/angle_estimation_1955.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1955_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1955_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_1955_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1955_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1955_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1955}
+{"canvas_size":[495,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1956","image_path":"images/angle_estimation_1956.png","interior_angles_degrees":[90.427553,24.999945,64.572502],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1956_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1956_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1956_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1956_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1956_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1956,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.3397,340.764],[440.0,340.764],[55.0,161.236]]}
+{"canvas_size":[481,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1957","image_path":"images/angle_estimation_1957.png","interior_angles_degrees":[91.043578,44.900682,44.05574],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1957_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1957_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1957_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1957_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1957_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1957,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[64.015,430.0],[423.6338,430.0],[57.3662,65.0]]}
+{"canvas_size":[492,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1958","image_path":"images/angle_estimation_1958.png","interior_angles_degrees":[89.87846,52.972946,37.148594],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1958_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1958_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1958_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1958_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1958_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1958,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[98.4989,455.0],[393.5011,455.0],[99.3262,65.0]]}
+{"canvas_size":[492,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1959","image_path":"images/angle_estimation_1959.png","interior_angles_degrees":[88.975995,54.799819,36.224186],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1959_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1959_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1959_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1959_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1959_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1959,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[106.0412,452.0],[385.9588,452.0],[112.9585,65.0]]}
+{"canvas_size":[467,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1960","image_path":"images/angle_estimation_1960.png","interior_angles_degrees":[89.628758,49.852513,40.51873],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1960_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_1960_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1960_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1960_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1960_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1960,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[65.6299,460.0],[401.3701,460.0],[68.1893,65.0]]}
+{"angle_degrees":73.521323,"arc_sweep_degrees":73.521323,"canvas_size":[492,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1961","image_path":"images/angle_estimation_1961.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1961_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1961_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1961_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"106","question_id":"angle_estimation_1961_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1961_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[386.9031,255.2262],[263.9246,343.2648]],"scene_type":"single","seed":1961,"vertex":[246.0,238.5]}
+{"angle_degrees":42.527088,"arc_sweep_degrees":42.527088,"canvas_size":[498,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1962","image_path":"images/angle_estimation_1962.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1962_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_1962_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1962_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"137","question_id":"angle_estimation_1962_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1962_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[407.4623,206.4926],[355.8249,303.494]],"scene_type":"single","seed":1962,"vertex":[249.0,242.5]}
+{"angle_degrees":69.616016,"arc_sweep_degrees":69.616016,"canvas_size":[483,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1963","image_path":"images/angle_estimation_1963.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1963_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1963_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1963_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"110","question_id":"angle_estimation_1963_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1963_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[363.454,328.001],[224.3899,376.8663]],"scene_type":"single","seed":1963,"vertex":[241.5,261.0]}
+{"angle_degrees":70.463002,"arc_sweep_degrees":70.463002,"canvas_size":[490,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1964","image_path":"images/angle_estimation_1964.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1964_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_1964_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1964_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"110","question_id":"angle_estimation_1964_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1964_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[375.4476,339.3261],[199.8066,391.6913]],"scene_type":"single","seed":1964,"vertex":[245.0,243.0]}
+{"angle_degrees":60.000005,"arc_sweep_degrees":60.000005,"canvas_size":[490,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1965","image_path":"images/angle_estimation_1965.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1965_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1965_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1965_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_1965_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1965_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[87.5013,185.173],[232.292,110.3198]],"scene_type":"single","seed":1965,"vertex":[245.0,259.0]}
+{"angle_degrees":261.574373,"arc_sweep_degrees":261.574373,"canvas_size":[499,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1966","image_path":"images/angle_estimation_1966.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1966_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_1966_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1966_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"82","question_id":"angle_estimation_1966_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1966_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[220.2317,87.1982],[138.8324,276.9924]],"scene_type":"single","seed":1966,"vertex":[249.5,238.0]}
+{"angle_degrees":14.375819,"arc_sweep_degrees":14.375819,"canvas_size":[486,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1967","image_path":"images/angle_estimation_1967.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1967_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_1967_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1967_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"166","question_id":"angle_estimation_1967_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1967_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[130.4805,334.6655],[141.3982,291.2765]],"scene_type":"single","seed":1967,"vertex":[243.0,247.0]}
+{"angle_degrees":27.698906,"arc_sweep_degrees":27.698906,"canvas_size":[492,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1968","image_path":"images/angle_estimation_1968.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1968_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_1968_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1968_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"152","question_id":"angle_estimation_1968_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1968_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[202.8952,89.9062],[269.0523,131.4056]],"scene_type":"single","seed":1968,"vertex":[246.0,241.5]}
+{"angle_1_degrees":157.327184,"angle_2_degrees":69.926353,"angles":[{"angle_degrees":157.327184,"arc_sweep_degrees":157.327184,"ray_endpoints":[[176.0228,219.715],[92.9116,413.4382]],"vertex":[128.25,281.58]},{"angle_degrees":69.926353,"arc_sweep_degrees":69.926353,"ray_endpoints":[[396.6957,379.1671],[262.3464,372.6552]],"vertex":[346.75,281.58]}],"canvas_size":[475,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1969","image_path":"images/angle_estimation_1969.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1969_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1969_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_1969_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1969_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1969_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1969}
+{"angle_1_degrees":35.352737,"angle_2_degrees":65.887198,"angles":[{"angle_degrees":35.352737,"arc_sweep_degrees":35.352737,"ray_endpoints":[[179.4587,364.7073],[118.9661,413.0034]],"vertex":[123.66,279.87]},{"angle_degrees":65.887198,"arc_sweep_degrees":65.887198,"ray_endpoints":[[254.0871,255.9341],[316.0562,141.0896]],"vertex":[334.34,279.87]}],"canvas_size":[458,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1970","image_path":"images/angle_estimation_1970.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1970_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1970_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_1970_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1970_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1970_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1970}
+{"angle_1_degrees":44.206736,"angle_2_degrees":128.044279,"angles":[{"angle_degrees":44.206736,"arc_sweep_degrees":44.206736,"ray_endpoints":[[187.1413,335.0806],[112.7279,398.06]],"vertex":[124.74,258.78]},{"angle_degrees":128.044279,"arc_sweep_degrees":128.044279,"ray_endpoints":[[448.7717,232.8623],[290.6503,358.9181]],"vertex":[337.26,258.78]}],"canvas_size":[462,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1971","image_path":"images/angle_estimation_1971.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1971_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1971_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1971_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1971_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1971_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1971}
+{"angle_1_degrees":79.55871,"angle_2_degrees":57.761028,"angles":[{"angle_degrees":79.55871,"arc_sweep_degrees":79.55871,"ray_endpoints":[[152.8201,364.8575],[36.5864,328.5632]],"vertex":[132.3,284.43]},{"angle_degrees":57.761028,"arc_sweep_degrees":57.761028,"ray_endpoints":[[278.2071,291.5109],[292.215,198.5595]],"vertex":[357.7,284.43]}],"canvas_size":[490,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1972","image_path":"images/angle_estimation_1972.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1972_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1972_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1972_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1972_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1972_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1972}
+{"angle_1_degrees":76.135538,"angle_2_degrees":14.624778,"angles":[{"angle_degrees":76.135538,"arc_sweep_degrees":76.135538,"ray_endpoints":[[208.7039,296.017],[114.2817,405.7378]],"vertex":[124.47,268.47]},{"angle_degrees":14.624778,"arc_sweep_degrees":14.624778,"ray_endpoints":[[393.271,360.3252],[377.0202,400.251]],"vertex":[336.53,268.47]}],"canvas_size":[461,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1973","image_path":"images/angle_estimation_1973.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1973_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1973_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_1973_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1973_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1973_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1973}
+{"angle_1_degrees":140.407903,"angle_2_degrees":37.208927,"angles":[{"angle_degrees":140.407903,"arc_sweep_degrees":140.407903,"ray_endpoints":[[194.1836,241.6605],[68.8344,395.3064]],"vertex":[121.5,277.59]},{"angle_degrees":37.208927,"arc_sweep_degrees":37.208927,"ray_endpoints":[[360.0811,354.031],[294.8674,405.2335]],"vertex":[328.5,277.59]}],"canvas_size":[450,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1974","image_path":"images/angle_estimation_1974.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1974_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1974_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_1974_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1974_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1974_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1974}
+{"angle_1_degrees":15.132364,"angle_2_degrees":24.268601,"angles":[{"angle_degrees":15.132364,"arc_sweep_degrees":15.132364,"ray_endpoints":[[113.2591,161.1191],[141.2206,149.9983]],"vertex":[132.3,262.77]},{"angle_degrees":24.268601,"arc_sweep_degrees":24.268601,"ray_endpoints":[[284.3529,209.4101],[300.1856,161.9184]],"vertex":[357.7,262.77]}],"canvas_size":[490,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1975","image_path":"images/angle_estimation_1975.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1975_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1975_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1975_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1975_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1975_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1975}
+{"canvas_size":[450,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1976","image_path":"images/angle_estimation_1976.png","interior_angles_degrees":[136.978491,24.910266,18.111243],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1976_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1976_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1976_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1976_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1976_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1976,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[224.1962,339.9484],[395.0,339.9484],[55.0,182.0516]]}
+{"canvas_size":[479,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1977","image_path":"images/angle_estimation_1977.png","interior_angles_degrees":[122.33867,25.407718,32.253612],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1977_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1977_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1977_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1977_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1977_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1977,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[165.9699,335.1375],[424.0,335.1375],[55.0,159.8625]]}
+{"canvas_size":[454,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1978","image_path":"images/angle_estimation_1978.png","interior_angles_degrees":[139.382553,22.823537,17.79391],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1978_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1978_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1978_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1978_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1978_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1978,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[223.8027,324.3853],[399.0,324.3853],[55.0,179.6147]]}
+{"canvas_size":[455,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1979","image_path":"images/angle_estimation_1979.png","interior_angles_degrees":[98.788788,23.592749,57.618464],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1979_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1979_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1979_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1979_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1979_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1979,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[78.2955,331.8374],[400.0,331.8374],[55.0,181.1626]]}
+{"canvas_size":[450,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1980","image_path":"images/angle_estimation_1980.png","interior_angles_degrees":[136.229381,15.573466,28.197153],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1980_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_1980_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_1980_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1980_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1980_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1980,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[153.9163,299.38],[395.0,299.38],[55.0,204.62]]}
+{"angle_degrees":196.111055,"arc_sweep_degrees":196.111055,"canvas_size":[461,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1981","image_path":"images/angle_estimation_1981.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1981_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_1981_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1981_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"16","question_id":"angle_estimation_1981_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1981_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[342.1276,369.2976],[163.5117,94.3185]],"scene_type":"single","seed":1981,"vertex":[230.5,240.0]}
+{"angle_degrees":312.012469,"arc_sweep_degrees":312.012469,"canvas_size":[500,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1982","image_path":"images/angle_estimation_1982.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1982_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_1982_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1982_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"132","question_id":"angle_estimation_1982_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1982_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[122.4121,243.5645],[125.4333,365.6585]],"scene_type":"single","seed":1982,"vertex":[250.0,262.0]}
+{"angle_degrees":237.580305,"arc_sweep_degrees":237.580305,"canvas_size":[497,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1983","image_path":"images/angle_estimation_1983.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1983_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_1983_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1983_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"58","question_id":"angle_estimation_1983_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1983_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[125.8726,269.5471],[357.5205,346.7183]],"scene_type":"single","seed":1983,"vertex":[248.5,240.5]}
+{"angle_degrees":114.067633,"arc_sweep_degrees":114.067633,"canvas_size":[473,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1984","image_path":"images/angle_estimation_1984.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1984_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_1984_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1984_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"66","question_id":"angle_estimation_1984_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1984_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[295.6249,94.7709],[338.5172,353.1595]],"scene_type":"single","seed":1984,"vertex":[236.5,252.5]}
+{"angle_degrees":60.000045,"arc_sweep_degrees":60.000045,"canvas_size":[475,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_1985","image_path":"images/angle_estimation_1985.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_1985_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_1985_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_1985_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_1985_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_1985_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[101.6317,153.5827],[246.6884,142.1532]],"scene_type":"single","seed":1985,"vertex":[237.5,248.5]}
+{"angle_degrees":276.246923,"arc_sweep_degrees":276.246923,"canvas_size":[466,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1986","image_path":"images/angle_estimation_1986.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1986_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"270","question_id":"angle_estimation_1986_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1986_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"96","question_id":"angle_estimation_1986_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1986_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[128.5719,357.8653],[315.2628,361.1352]],"scene_type":"single","seed":1986,"vertex":[233.0,256.0]}
+{"angle_degrees":215.651787,"arc_sweep_degrees":215.651787,"canvas_size":[480,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1987","image_path":"images/angle_estimation_1987.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1987_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_1987_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1987_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"36","question_id":"angle_estimation_1987_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1987_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[342.0842,148.8945],[101.475,257.4321]],"scene_type":"single","seed":1987,"vertex":[240.0,241.5]}
+{"angle_degrees":195.210483,"arc_sweep_degrees":195.210483,"canvas_size":[485,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_1988","image_path":"images/angle_estimation_1988.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_1988_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_1988_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_1988_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"15","question_id":"angle_estimation_1988_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_1988_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[374.0791,225.5894],[127.6911,222.8389]],"scene_type":"single","seed":1988,"vertex":[242.5,240.5]}
+{"angle_1_degrees":54.501211,"angle_2_degrees":32.325798,"angles":[{"angle_degrees":54.501211,"arc_sweep_degrees":54.501211,"ray_endpoints":[[60.3962,315.662],[30.072,230.3983]],"vertex":[131.22,262.2]},{"angle_degrees":32.325798,"arc_sweep_degrees":32.325798,"ray_endpoints":[[432.3045,311.6509],[401.0707,360.8343]],"vertex":[354.78,262.2]}],"canvas_size":[486,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1989","image_path":"images/angle_estimation_1989.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1989_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1989_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_1989_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1989_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1989_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1989}
+{"angle_1_degrees":118.650474,"angle_2_degrees":70.538487,"angles":[{"angle_degrees":118.650474,"arc_sweep_degrees":118.650474,"ray_endpoints":[[203.7584,294.9289],[20.0748,364.7823]],"vertex":[121.5,268.47]},{"angle_degrees":70.538487,"arc_sweep_degrees":70.538487,"ray_endpoints":[[261.0,212.7046],[366.4028,164.8982]],"vertex":[328.5,268.47]}],"canvas_size":[450,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1990","image_path":"images/angle_estimation_1990.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1990_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1990_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_1990_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1990_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1990_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1990}
+{"angle_1_degrees":67.979687,"angle_2_degrees":151.115895,"angles":[{"angle_degrees":67.979687,"arc_sweep_degrees":67.979687,"ray_endpoints":[[170.5901,369.45],[26.9303,372.5899]],"vertex":[131.22,271.89]},{"angle_degrees":151.115895,"arc_sweep_degrees":151.115895,"ray_endpoints":[[289.8851,352.4266],[378.6977,135.9285]],"vertex":[354.78,271.89]}],"canvas_size":[486,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1991","image_path":"images/angle_estimation_1991.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1991_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1991_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_1991_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1991_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1991_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1991}
+{"angle_1_degrees":87.024358,"angle_2_degrees":12.312016,"angles":[{"angle_degrees":87.024358,"arc_sweep_degrees":87.024358,"ray_endpoints":[[78.2285,361.0411],[21.0106,211.1098]],"vertex":[133.65,278.73]},{"angle_degrees":12.312016,"arc_sweep_degrees":12.312016,"ray_endpoints":[[338.4738,186.7547],[357.1809,134.4579]],"vertex":[361.35,278.73]}],"canvas_size":[495,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1992","image_path":"images/angle_estimation_1992.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1992_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1992_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_1992_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1992_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1992_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1992}
+{"angle_1_degrees":153.139388,"angle_2_degrees":34.695461,"angles":[{"angle_degrees":153.139388,"arc_sweep_degrees":153.139388,"ray_endpoints":[[110.573,374.9655],[96.8587,162.0673]],"vertex":[129.6,278.73]},{"angle_degrees":34.695461,"arc_sweep_degrees":34.695461,"ray_endpoints":[[303.2968,206.7083],[354.1418,136.8032]],"vertex":[350.4,278.73]}],"canvas_size":[480,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1993","image_path":"images/angle_estimation_1993.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1993_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_1993_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_1993_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_1993_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_1993_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1993}
+{"angle_1_degrees":112.843544,"angle_2_degrees":122.990021,"angles":[{"angle_degrees":112.843544,"arc_sweep_degrees":112.843544,"ray_endpoints":[[85.3282,350.7312],[61.6042,184.3664]],"vertex":[129.6,272.46]},{"angle_degrees":122.990021,"arc_sweep_degrees":122.990021,"ray_endpoints":[[428.5729,238.5645],[327.1206,410.8505]],"vertex":[350.4,272.46]}],"canvas_size":[480,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1994","image_path":"images/angle_estimation_1994.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1994_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1994_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1994_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_1994_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1994_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1994}
+{"angle_1_degrees":36.66065,"angle_2_degrees":50.108079,"angles":[{"angle_degrees":36.66065,"arc_sweep_degrees":36.66065,"ray_endpoints":[[198.3614,328.3934],[158.4737,382.2272]],"vertex":[133.92,273.03]},{"angle_degrees":50.108079,"arc_sweep_degrees":50.108079,"ray_endpoints":[[390.5042,188.4494],[473.7365,229.46]],"vertex":[362.08,273.03]}],"canvas_size":[496,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_1995","image_path":"images/angle_estimation_1995.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_1995_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_1995_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_1995_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_1995_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_1995_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":1995}
+{"canvas_size":[486,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1996","image_path":"images/angle_estimation_1996.png","interior_angles_degrees":[55.821814,62.333276,61.84491],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1996_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1996_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_1996_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1996_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1996_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1996,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,413.7352],[431.0,413.7352],[267.1808,101.2648]]}
+{"canvas_size":[499,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1997","image_path":"images/angle_estimation_1997.png","interior_angles_degrees":[46.173319,57.130403,76.696278],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1997_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1997_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1997_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1997_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1997_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1997,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,368.6056],[444.0,368.6056],[287.4888,126.3944]]}
+{"canvas_size":[487,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1998","image_path":"images/angle_estimation_1998.png","interior_angles_degrees":[66.51461,43.586571,69.898819],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1998_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1998_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_1998_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1998_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1998_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1998,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,372.927],[432.0,372.927],[165.3019,119.073]]}
+{"canvas_size":[457,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_1999","image_path":"images/angle_estimation_1999.png","interior_angles_degrees":[60.689104,74.466228,44.844668],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_1999_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_1999_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_1999_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_1999_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_1999_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":1999,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[72.3747,437.0],[384.6253,437.0],[281.2244,65.0]]}
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+{"angle_1_degrees":124.740841,"angle_2_degrees":64.630727,"angles":[{"angle_degrees":124.740841,"arc_sweep_degrees":124.740841,"ray_endpoints":[[20.0741,260.614],[217.4145,187.133]],"vertex":[126.09,279.3]},{"angle_degrees":64.630727,"arc_sweep_degrees":64.630727,"ray_endpoints":[[441.8381,239.369],[432.0487,364.4224]],"vertex":[340.91,279.3]}],"canvas_size":[467,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2009","image_path":"images/angle_estimation_2009.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2009_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2009_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2009_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2009_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2009_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2009}
+{"angle_1_degrees":80.088878,"angle_2_degrees":148.181053,"angles":[{"angle_degrees":80.088878,"arc_sweep_degrees":80.088878,"ray_endpoints":[[203.8699,355.7489],[39.5163,391.8148]],"vertex":[123.66,274.17]},{"angle_degrees":148.181053,"arc_sweep_degrees":148.181053,"ray_endpoints":[[338.7507,375.3896],[268.9836,178.4116]],"vertex":[334.34,274.17]}],"canvas_size":[458,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2010","image_path":"images/angle_estimation_2010.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2010_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2010_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2010_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2010_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2010_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2010}
+{"angle_1_degrees":18.977472,"angle_2_degrees":67.503739,"angles":[{"angle_degrees":18.977472,"arc_sweep_degrees":18.977472,"ray_endpoints":[[145.5268,361.2756],[112.7502,388.1541]],"vertex":[130.41,275.88]},{"angle_degrees":67.503739,"arc_sweep_degrees":67.503739,"ray_endpoints":[[424.1313,248.7077],[425.8954,353.687]],"vertex":[352.59,275.88]}],"canvas_size":[483,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2011","image_path":"images/angle_estimation_2011.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2011_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2011_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2011_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2011_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2011_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2011}
+{"angle_1_degrees":13.833131,"angle_2_degrees":155.188602,"angles":[{"angle_degrees":13.833131,"arc_sweep_degrees":13.833131,"ray_endpoints":[[44.5802,201.7746],[48.5186,161.8399]],"vertex":[123.12,273.6]},{"angle_degrees":155.188602,"arc_sweep_degrees":155.188602,"ray_endpoints":[[292.2434,169.5939],[434.8567,371.554]],"vertex":[332.88,273.6]}],"canvas_size":[456,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2012","image_path":"images/angle_estimation_2012.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2012_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2012_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_2012_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2012_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2012_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2012}
+{"angle_1_degrees":147.042656,"angle_2_degrees":138.792053,"angles":[{"angle_degrees":147.042656,"arc_sweep_degrees":147.042656,"ray_endpoints":[[44.6017,285.7371],[215.9023,150.3909]],"vertex":[128.79,258.21]},{"angle_degrees":138.792053,"arc_sweep_degrees":138.792053,"ray_endpoints":[[448.2657,224.1062],[280.8326,375.0501]],"vertex":[348.21,258.21]}],"canvas_size":[477,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2013","image_path":"images/angle_estimation_2013.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2013_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2013_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2013_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2013_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2013_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2013}
+{"angle_1_degrees":63.851179,"angle_2_degrees":33.801705,"angles":[{"angle_degrees":63.851179,"arc_sweep_degrees":63.851179,"ray_endpoints":[[76.5253,341.4151],[16.1193,253.7722]],"vertex":[126.9,277.59]},{"angle_degrees":33.801705,"arc_sweep_degrees":33.801705,"ray_endpoints":[[310.3702,207.1493],[364.3541,141.5548]],"vertex":[343.1,277.59]}],"canvas_size":[470,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2014","image_path":"images/angle_estimation_2014.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2014_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2014_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2014_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2014_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2014_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2014}
+{"angle_1_degrees":95.940905,"angle_2_degrees":83.271346,"angles":[{"angle_degrees":95.940905,"arc_sweep_degrees":95.940905,"ray_endpoints":[[75.4285,189.544],[233.8184,190.7599]],"vertex":[133.92,258.78]},{"angle_degrees":83.271346,"arc_sweep_degrees":83.271346,"ray_endpoints":[[441.7521,335.169],[293.0145,350.2131]],"vertex":[362.08,258.78]}],"canvas_size":[496,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2015","image_path":"images/angle_estimation_2015.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2015_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2015_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2015_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2015_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2015_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2015}
+{"canvas_size":[497,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2016","image_path":"images/angle_estimation_2016.png","interior_angles_degrees":[90.115563,39.95377,49.930667],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2016_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2016_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2016_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2016_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2016_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2016,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.6539,416.0999],[442.0,416.0999],[55.0,91.9001]]}
+{"canvas_size":[462,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2017","image_path":"images/angle_estimation_2017.png","interior_angles_degrees":[89.606619,42.960622,47.432759],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2017_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2017_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2017_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2017_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2017_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2017,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,416.8554],[407.0,416.8554],[57.2363,91.1446]]}
+{"canvas_size":[484,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2018","image_path":"images/angle_estimation_2018.png","interior_angles_degrees":[90.280491,48.253672,41.465837],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2018_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2018_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2018_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2018_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2018_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2018,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[84.0096,423.0],[401.743,423.0],[82.257,65.0]]}
+{"canvas_size":[459,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2019","image_path":"images/angle_estimation_2019.png","interior_angles_degrees":[89.993646,38.241679,51.764675],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2019_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2019_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2019_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2019_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2019_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2019,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,402.5116],[404.0,402.5116],[55.0305,127.4884]]}
+{"canvas_size":[489,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2020","image_path":"images/angle_estimation_2020.png","interior_angles_degrees":[90.590656,53.207611,36.201734],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2020_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2020_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2020_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2020_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2020_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2020,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[103.046,454.0],[389.9643,454.0],[99.0357,65.0]]}
+{"angle_degrees":194.997512,"arc_sweep_degrees":194.997512,"canvas_size":[475,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2021","image_path":"images/angle_estimation_2021.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2021_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_2021_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2021_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"15","question_id":"angle_estimation_2021_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2021_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[372.9857,234.3456],[95.0588,243.272]],"scene_type":"single","seed":2021,"vertex":[237.5,257.0]}
+{"angle_degrees":160.486017,"arc_sweep_degrees":160.486017,"canvas_size":[484,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2022","image_path":"images/angle_estimation_2022.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2022_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_2022_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2022_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"20","question_id":"angle_estimation_2022_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2022_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[271.4642,108.6215],[256.01,353.7403]],"scene_type":"single","seed":2022,"vertex":[242.0,246.0]}
+{"angle_degrees":340.433105,"arc_sweep_degrees":340.433105,"canvas_size":[474,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2023","image_path":"images/angle_estimation_2023.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2023_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_2023_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2023_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"160","question_id":"angle_estimation_2023_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2023_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[86.1831,186.8401],[113.4642,246.0107]],"scene_type":"single","seed":2023,"vertex":[237.0,259.0]}
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+{"angle_1_degrees":69.481998,"angle_2_degrees":17.117366,"angles":[{"angle_degrees":69.481998,"arc_sweep_degrees":69.481998,"ray_endpoints":[[214.7203,334.9721],[88.5794,404.2874]],"vertex":[126.36,270.18]},{"angle_degrees":17.117366,"arc_sweep_degrees":17.117366,"ray_endpoints":[[319.5284,344.7931],[270.39,377.3202]],"vertex":[341.64,270.18]}],"canvas_size":[468,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2030","image_path":"images/angle_estimation_2030.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2030_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2030_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2030_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2030_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2030_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2030}
+{"angle_1_degrees":98.865036,"angle_2_degrees":70.436036,"angles":[{"angle_degrees":98.865036,"arc_sweep_degrees":98.865036,"ray_endpoints":[[39.4895,212.3144],[208.6144,163.1436]],"vertex":[132.84,262.77]},{"angle_degrees":70.436036,"arc_sweep_degrees":70.436036,"ray_endpoints":[[465.4873,292.17],[368.8763,398.068]],"vertex":[359.16,262.77]}],"canvas_size":[492,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2031","image_path":"images/angle_estimation_2031.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2031_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2031_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2031_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2031_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2031_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2031}
+{"angle_1_degrees":117.201918,"angle_2_degrees":155.63566,"angles":[{"angle_degrees":117.201918,"arc_sweep_degrees":117.201918,"ray_endpoints":[[13.033,303.3094],[148.4737,170.9854]],"vertex":[122.04,277.59]},{"angle_degrees":155.63566,"arc_sweep_degrees":155.63566,"ray_endpoints":[[278.8398,341.7761],[362.1573,150.0741]],"vertex":[329.96,277.59]}],"canvas_size":[452,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2032","image_path":"images/angle_estimation_2032.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2032_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2032_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2032_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2032_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2032_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2032}
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+{"angle_1_degrees":41.278375,"angle_2_degrees":139.285497,"angles":[{"angle_degrees":41.278375,"arc_sweep_degrees":41.278375,"ray_endpoints":[[146.7544,342.2323],[74.1222,384.5109]],"vertex":[122.58,269.61]},{"angle_degrees":139.285497,"arc_sweep_degrees":139.285497,"ray_endpoints":[[399.0015,235.8106],[283.4499,384.2043]],"vertex":[331.42,269.61]}],"canvas_size":[454,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2034","image_path":"images/angle_estimation_2034.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2034_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2034_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2034_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2034_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2034_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2034}
+{"angle_1_degrees":37.192009,"angle_2_degrees":21.238651,"angles":[{"angle_degrees":37.192009,"arc_sweep_degrees":37.192009,"ray_endpoints":[[55.487,222.1613],[103.5395,170.0147]],"vertex":[126.63,285.0]},{"angle_degrees":21.238651,"arc_sweep_degrees":21.238651,"ray_endpoints":[[374.6274,212.8148],[441.9014,186.5642]],"vertex":[342.37,285.0]}],"canvas_size":[469,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2035","image_path":"images/angle_estimation_2035.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2035_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2035_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2035_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2035_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2035_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2035}
+{"canvas_size":[453,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2036","image_path":"images/angle_estimation_2036.png","interior_angles_degrees":[134.047297,15.264594,30.688109],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2036_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2036_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2036_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2036_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2036_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2036,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[145.5441,305.8032],[398.0,305.8032],[55.0,212.1968]]}
+{"canvas_size":[466,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2037","image_path":"images/angle_estimation_2037.png","interior_angles_degrees":[100.362088,32.025933,47.611979],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2037_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2037_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2037_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2037_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2037_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2037,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[95.7167,368.8388],[411.0,368.8388],[55.0,146.1612]]}
+{"canvas_size":[455,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2038","image_path":"images/angle_estimation_2038.png","interior_angles_degrees":[139.841413,21.2066,18.951987],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2038_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2038_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2038_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2038_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2038_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2038,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[213.6372,321.9312],[400.0,321.9312],[55.0,188.0688]]}
+{"canvas_size":[492,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2039","image_path":"images/angle_estimation_2039.png","interior_angles_degrees":[120.605726,21.942415,37.451859],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2039_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2039_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2039_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2039_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2039_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2039,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[146.032,338.4458],[437.0,338.4458],[55.0,184.5542]]}
+{"canvas_size":[474,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2040","image_path":"images/angle_estimation_2040.png","interior_angles_degrees":[131.816726,22.9368,25.246474],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2040_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2040_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2040_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2040_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2040_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2040,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[192.8043,334.5176],[419.0,334.5176],[55.0,180.4824]]}
+{"angle_degrees":313.506463,"arc_sweep_degrees":313.506463,"canvas_size":[452,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2041","image_path":"images/angle_estimation_2041.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2041_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_2041_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2041_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"134","question_id":"angle_estimation_2041_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2041_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[77.38,291.7103],[153.2332,386.7798]],"scene_type":"single","seed":2041,"vertex":[226.0,251.0]}
+{"angle_degrees":214.873472,"arc_sweep_degrees":214.873472,"canvas_size":[499,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2042","image_path":"images/angle_estimation_2042.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2042_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_2042_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2042_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"35","question_id":"angle_estimation_2042_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2042_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[359.4121,328.7624],[213.0302,139.4413]],"scene_type":"single","seed":2042,"vertex":[249.5,247.5]}
+{"angle_degrees":235.316835,"arc_sweep_degrees":235.316835,"canvas_size":[480,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2043","image_path":"images/angle_estimation_2043.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2043_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_2043_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2043_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"55","question_id":"angle_estimation_2043_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2043_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[97.6819,198.3524],[269.8793,391.7294]],"scene_type":"single","seed":2043,"vertex":[240.0,256.5]}
+{"angle_degrees":120.006622,"arc_sweep_degrees":120.006622,"canvas_size":[457,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2044","image_path":"images/angle_estimation_2044.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2044_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_2044_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2044_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"60","question_id":"angle_estimation_2044_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2044_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[77.4787,261.5444],[307.5421,121.4195]],"scene_type":"single","seed":2044,"vertex":[228.5,260.5]}
+{"angle_degrees":30.000007,"arc_sweep_degrees":30.000007,"canvas_size":[458,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2045","image_path":"images/angle_estimation_2045.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2045_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2045_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2045_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_2045_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2045_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[366.9369,346.6832],[289.6642,380.2581]],"scene_type":"single","seed":2045,"vertex":[229.0,250.0]}
+{"angle_degrees":227.12738,"arc_sweep_degrees":227.12738,"canvas_size":[485,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2046","image_path":"images/angle_estimation_2046.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2046_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2046_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2046_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"47","question_id":"angle_estimation_2046_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2046_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[346.8532,350.6742],[245.0318,132.6489]],"scene_type":"single","seed":2046,"vertex":[242.5,249.5]}
+{"angle_degrees":170.681929,"arc_sweep_degrees":170.681929,"canvas_size":[490,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2047","image_path":"images/angle_estimation_2047.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2047_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_2047_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2047_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"9","question_id":"angle_estimation_2047_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2047_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[304.7331,110.969],[211.8316,368.9826]],"scene_type":"single","seed":2047,"vertex":[245.0,244.0]}
+{"angle_degrees":186.511394,"arc_sweep_degrees":186.511394,"canvas_size":[468,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2048","image_path":"images/angle_estimation_2048.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2048_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_2048_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2048_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"7","question_id":"angle_estimation_2048_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2048_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[322.7728,117.2483],[140.4839,364.7798]],"scene_type":"single","seed":2048,"vertex":[234.0,252.5]}
+{"angle_1_degrees":53.927206,"angle_2_degrees":23.181994,"angles":[{"angle_degrees":53.927206,"arc_sweep_degrees":53.927206,"ray_endpoints":[[193.5197,318.7458],[122.6206,376.5155]],"vertex":[130.41,265.62]},{"angle_degrees":23.181994,"arc_sweep_degrees":23.181994,"ray_endpoints":[[341.2096,184.4238],[381.5193,159.1677]],"vertex":[352.59,265.62]}],"canvas_size":[483,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2049","image_path":"images/angle_estimation_2049.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2049_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2049_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2049_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2049_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2049_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2049}
+{"angle_1_degrees":134.121707,"angle_2_degrees":50.033333,"angles":[{"angle_degrees":134.121707,"arc_sweep_degrees":134.121707,"ray_endpoints":[[36.6742,319.9218],[160.6134,164.4088]],"vertex":[131.49,268.47]},{"angle_degrees":50.033333,"arc_sweep_degrees":50.033333,"ray_endpoints":[[265.9734,278.9525],[264.5025,182.5413]],"vertex":[355.51,268.47]}],"canvas_size":[487,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2050","image_path":"images/angle_estimation_2050.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2050_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2050_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2050_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2050_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2050_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2050}
+{"angle_1_degrees":96.528324,"angle_2_degrees":64.273052,"angles":[{"angle_degrees":96.528324,"arc_sweep_degrees":96.528324,"ray_endpoints":[[171.7743,336.074],[14.4725,334.5531]],"vertex":[125.01,271.89]},{"angle_degrees":64.273052,"arc_sweep_degrees":64.273052,"ray_endpoints":[[414.1973,347.6447],[291.3881,406.45]],"vertex":[337.99,271.89]}],"canvas_size":[463,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2051","image_path":"images/angle_estimation_2051.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2051_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2051_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2051_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2051_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2051_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2051}
+{"angle_1_degrees":24.885968,"angle_2_degrees":77.536315,"angles":[{"angle_degrees":24.885968,"arc_sweep_degrees":24.885968,"ray_endpoints":[[63.4346,223.3852],[56.6192,146.9958]],"vertex":[132.84,268.47]},{"angle_degrees":77.536315,"arc_sweep_degrees":77.536315,"ray_endpoints":[[291.3178,227.1514],[404.2215,136.7015]],"vertex":[359.16,268.47]}],"canvas_size":[492,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2052","image_path":"images/angle_estimation_2052.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2052_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2052_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2052_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2052_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2052_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2052}
+{"angle_1_degrees":140.08835,"angle_2_degrees":50.686444,"angles":[{"angle_degrees":140.08835,"arc_sweep_degrees":140.08835,"ray_endpoints":[[176.6039,214.2484],[129.2581,411.2312]],"vertex":[126.36,277.02]},{"angle_degrees":50.686444,"arc_sweep_degrees":50.686444,"ray_endpoints":[[294.1516,180.2889],[399.26,150.8095]],"vertex":[341.64,277.02]}],"canvas_size":[468,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2053","image_path":"images/angle_estimation_2053.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2053_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2053_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2053_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2053_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2053_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2053}
+{"angle_1_degrees":28.108886,"angle_2_degrees":122.604358,"angles":[{"angle_degrees":28.108886,"arc_sweep_degrees":28.108886,"ray_endpoints":[[57.1306,345.8215],[16.1117,310.7351]],"vertex":[125.01,275.88]},{"angle_degrees":122.604358,"arc_sweep_degrees":122.604358,"ray_endpoints":[[418.6745,286.7141],[264.0188,363.2517]],"vertex":[337.99,275.88]}],"canvas_size":[463,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2054","image_path":"images/angle_estimation_2054.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2054_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2054_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2054_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2054_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2054_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2054}
+{"angle_1_degrees":60.558359,"angle_2_degrees":31.276845,"angles":[{"angle_degrees":60.558359,"arc_sweep_degrees":60.558359,"ray_endpoints":[[43.0519,288.0777],[44.9532,185.6507]],"vertex":[124.2,266.19]},{"angle_degrees":31.276845,"arc_sweep_degrees":31.276845,"ray_endpoints":[[343.3107,354.48],[273.4331,391.7476]],"vertex":[335.8,266.19]}],"canvas_size":[460,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2055","image_path":"images/angle_estimation_2055.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2055_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2055_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2055_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2055_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2055_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2055}
+{"canvas_size":[482,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2056","image_path":"images/angle_estimation_2056.png","interior_angles_degrees":[61.327271,34.153209,84.519519],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2056_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2056_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2056_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2056_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2056_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2056,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,354.5378],[427.0,354.5378],[155.6646,170.4622]]}
+{"canvas_size":[495,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2057","image_path":"images/angle_estimation_2057.png","interior_angles_degrees":[62.023006,39.156346,78.820647],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2057_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2057_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2057_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2057_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2057_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2057,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,363.9232],[440.0,363.9232],[171.25,145.0768]]}
+{"canvas_size":[459,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2058","image_path":"images/angle_estimation_2058.png","interior_angles_degrees":[45.705164,55.995212,78.299623],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2058_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2058_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2058_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2058_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2058_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2058,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,347.2375],[404.0,347.2375],[261.3326,135.7625]]}
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+{"angle_degrees":107.948015,"arc_sweep_degrees":107.948015,"canvas_size":[473,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2061","image_path":"images/angle_estimation_2061.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2061_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_2061_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2061_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"72","question_id":"angle_estimation_2061_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2061_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[360.6463,216.3005],[236.8874,366.3744]],"scene_type":"single","seed":2061,"vertex":[236.5,257.0]}
+{"angle_degrees":161.028962,"arc_sweep_degrees":161.028962,"canvas_size":[471,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2062","image_path":"images/angle_estimation_2062.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2062_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_2062_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2062_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"19","question_id":"angle_estimation_2062_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2062_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[341.6931,130.4375],[181.6151,395.8618]],"scene_type":"single","seed":2062,"vertex":[235.5,256.5]}
+{"angle_degrees":137.038224,"arc_sweep_degrees":137.038224,"canvas_size":[459,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2063","image_path":"images/angle_estimation_2063.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2063_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2063_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2063_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"43","question_id":"angle_estimation_2063_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2063_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[382.6525,309.3655],[77.7784,295.8581]],"scene_type":"single","seed":2063,"vertex":[229.5,242.5]}
+{"angle_degrees":233.189222,"arc_sweep_degrees":233.189222,"canvas_size":[495,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2064","image_path":"images/angle_estimation_2064.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2064_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_2064_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2064_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"53","question_id":"angle_estimation_2064_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2064_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[327.1268,144.353],[113.6035,243.8665]],"scene_type":"single","seed":2064,"vertex":[247.5,246.5]}
+{"angle_degrees":59.999968,"arc_sweep_degrees":59.999968,"canvas_size":[490,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2065","image_path":"images/angle_estimation_2065.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2065_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_2065_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2065_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_2065_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2065_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[357.9844,319.9618],[246.7345,403.135]],"scene_type":"single","seed":2065,"vertex":[245.0,256.5]}
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+{"angle_degrees":253.244497,"arc_sweep_degrees":253.244497,"canvas_size":[499,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2068","image_path":"images/angle_estimation_2068.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2068_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_2068_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2068_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"73","question_id":"angle_estimation_2068_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2068_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[75.2164,258.1633],[288.0313,385.5479]],"scene_type":"single","seed":2068,"vertex":[249.5,258.0]}
+{"angle_1_degrees":23.41492,"angle_2_degrees":146.569705,"angles":[{"angle_degrees":23.41492,"arc_sweep_degrees":23.41492,"ray_endpoints":[[146.3914,192.834],[190.8543,192.4059]],"vertex":[127.71,281.58]},{"angle_degrees":146.569705,"arc_sweep_degrees":146.569705,"ray_endpoints":[[404.4192,232.077],[306.2226,412.3487]],"vertex":[345.29,281.58]}],"canvas_size":[473,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2069","image_path":"images/angle_estimation_2069.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2069_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2069_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_2069_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2069_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2069_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2069}
+{"angle_1_degrees":90.226754,"angle_2_degrees":36.406817,"angles":[{"angle_degrees":90.226754,"arc_sweep_degrees":90.226754,"ray_endpoints":[[196.7491,295.8106],[76.9322,356.7948]],"vertex":[127.98,259.92]},{"angle_degrees":36.406817,"arc_sweep_degrees":36.406817,"ray_endpoints":[[321.8267,348.6864],[261.0192,327.1641]],"vertex":[346.02,259.92]}],"canvas_size":[474,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2070","image_path":"images/angle_estimation_2070.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2070_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2070_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2070_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2070_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2070_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2070}
+{"angle_1_degrees":66.604485,"angle_2_degrees":19.940876,"angles":[{"angle_degrees":66.604485,"arc_sweep_degrees":66.604485,"ray_endpoints":[[158.6843,361.6255],[45.7804,372.9749]],"vertex":[121.5,285.0]},{"angle_degrees":19.940876,"arc_sweep_degrees":19.940876,"ray_endpoints":[[349.9751,391.4145],[309.7351,410.0888]],"vertex":[328.5,285.0]}],"canvas_size":[450,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2071","image_path":"images/angle_estimation_2071.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2071_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2071_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2071_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2071_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2071_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2071}
+{"angle_1_degrees":61.298689,"angle_2_degrees":111.458501,"angles":[{"angle_degrees":61.298689,"arc_sweep_degrees":61.298689,"ray_endpoints":[[209.8868,229.5272],[220.86,338.3235]],"vertex":[127.44,264.48]},{"angle_degrees":111.458501,"arc_sweep_degrees":111.458501,"ray_endpoints":[[433.3419,259.1353],[301.9214,395.6035]],"vertex":[344.56,264.48]}],"canvas_size":[472,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2072","image_path":"images/angle_estimation_2072.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2072_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2072_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2072_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2072_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2072_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2072}
+{"angle_1_degrees":135.838679,"angle_2_degrees":110.751843,"angles":[{"angle_degrees":135.838679,"arc_sweep_degrees":135.838679,"ray_endpoints":[[197.8308,253.7123],[74.2882,373.4944]],"vertex":[124.74,277.59]},{"angle_degrees":110.751843,"arc_sweep_degrees":110.751843,"ray_endpoints":[[447.4601,298.0436],[273.8429,382.0302]],"vertex":[337.26,277.59]}],"canvas_size":[462,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2073","image_path":"images/angle_estimation_2073.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2073_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2073_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2073_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2073_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2073_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2073}
+{"angle_1_degrees":44.553716,"angle_2_degrees":34.877819,"angles":[{"angle_degrees":44.553716,"arc_sweep_degrees":44.553716,"ray_endpoints":[[44.3596,253.4451],[46.7198,153.1886]],"vertex":[132.57,266.19]},{"angle_degrees":34.877819,"arc_sweep_degrees":34.877819,"ray_endpoints":[[390.7032,355.0858],[323.1263,398.6419]],"vertex":[358.43,266.19]}],"canvas_size":[491,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2074","image_path":"images/angle_estimation_2074.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2074_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2074_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2074_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2074_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2074_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2074}
+{"angle_1_degrees":46.402972,"angle_2_degrees":142.698489,"angles":[{"angle_degrees":46.402972,"arc_sweep_degrees":46.402972,"ray_endpoints":[[41.5078,310.0948],[27.0763,226.9889]],"vertex":[131.76,267.9]},{"angle_degrees":142.698489,"arc_sweep_degrees":142.698489,"ray_endpoints":[[339.0562,362.9891],[293.2971,144.6761]],"vertex":[356.24,267.9]}],"canvas_size":[488,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2075","image_path":"images/angle_estimation_2075.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2075_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2075_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2075_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2075_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2075_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2075}
+{"canvas_size":[462,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2076","image_path":"images/angle_estimation_2076.png","interior_angles_degrees":[90.267927,51.272317,38.459756],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2076_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2076_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2076_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2076_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2076_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2076,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[79.2186,448.0],[384.5724,448.0],[77.4276,65.0]]}
+{"canvas_size":[472,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2077","image_path":"images/angle_estimation_2077.png","interior_angles_degrees":[90.694331,30.176274,59.129395],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2077_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2077_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2077_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2077_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2077_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2077,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[57.5509,354.2442],[417.0,354.2442],[55.0,143.7558]]}
+{"canvas_size":[452,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2078","image_path":"images/angle_estimation_2078.png","interior_angles_degrees":[89.671566,52.489947,37.838488],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2078_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2078_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2078_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2078_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2078_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2078,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[86.0258,427.0],[365.9742,427.0],[88.1009,65.0]]}
+{"canvas_size":[479,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2079","image_path":"images/angle_estimation_2079.png","interior_angles_degrees":[89.291295,32.413228,58.295477],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2079_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2079_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2079_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2079_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2079_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2079,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,362.2341],[424.0,362.2341],[57.8756,129.7659]]}
+{"canvas_size":[452,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2080","image_path":"images/angle_estimation_2080.png","interior_angles_degrees":[90.199266,37.055259,52.745475],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2080_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2080_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2080_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2080_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2080_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2080,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.8981,381.6165],[397.0,381.6165],[55.0,123.3835]]}
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+{"angle_degrees":179.999996,"arc_sweep_degrees":179.999996,"canvas_size":[455,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2085","image_path":"images/angle_estimation_2085.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2085_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_2085_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2085_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_2085_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2085_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[354.0726,293.4083],[119.1726,198.0021]],"scene_type":"single","seed":2085,"vertex":[227.5,242.0]}
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+{"angle_1_degrees":144.046523,"angle_2_degrees":94.20349,"angles":[{"angle_degrees":144.046523,"arc_sweep_degrees":144.046523,"ray_endpoints":[[119.2167,350.7521],[78.1718,150.7801]],"vertex":[134.46,270.18]},{"angle_degrees":94.20349,"arc_sweep_degrees":94.20349,"ray_endpoints":[[274.6571,291.8215],[344.9677,158.9674]],"vertex":[363.54,270.18]}],"canvas_size":[498,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2089","image_path":"images/angle_estimation_2089.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2089_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2089_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2089_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2089_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2089_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2089}
+{"angle_1_degrees":48.11951,"angle_2_degrees":39.221035,"angles":[{"angle_degrees":48.11951,"arc_sweep_degrees":48.11951,"ray_endpoints":[[112.8347,353.276],[36.5064,334.8053]],"vertex":[125.55,278.73]},{"angle_degrees":39.221035,"arc_sweep_degrees":39.221035,"ray_endpoints":[[258.8152,208.6451],[316.0848,143.2196]],"vertex":[339.45,278.73]}],"canvas_size":[465,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2090","image_path":"images/angle_estimation_2090.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2090_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2090_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2090_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2090_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2090_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2090}
+{"angle_1_degrees":50.737274,"angle_2_degrees":124.56088,"angles":[{"angle_degrees":50.737274,"arc_sweep_degrees":50.737274,"ray_endpoints":[[179.6725,371.1637],[80.8059,377.9887]],"vertex":[126.36,270.18]},{"angle_degrees":124.56088,"arc_sweep_degrees":124.56088,"ray_endpoints":[[261.6032,272.0328],[399.8007,181.4187]],"vertex":[341.64,270.18]}],"canvas_size":[468,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2091","image_path":"images/angle_estimation_2091.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2091_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2091_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2091_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2091_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2091_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2091}
+{"angle_1_degrees":44.224076,"angle_2_degrees":67.485268,"angles":[{"angle_degrees":44.224076,"arc_sweep_degrees":44.224076,"ray_endpoints":[[71.3254,343.5068],[14.8685,281.56]],"vertex":[135.0,282.72]},{"angle_degrees":67.485268,"arc_sweep_degrees":67.485268,"ray_endpoints":[[303.1347,330.5068],[268.415,227.4017]],"vertex":[365.0,282.72]}],"canvas_size":[500,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2092","image_path":"images/angle_estimation_2092.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2092_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2092_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2092_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2092_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2092_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2092}
+{"angle_1_degrees":55.669531,"angle_2_degrees":37.877662,"angles":[{"angle_degrees":55.669531,"arc_sweep_degrees":55.669531,"ray_endpoints":[[205.3957,319.6125],[152.7233,420.5147]],"vertex":[128.79,285.0]},{"angle_degrees":37.877662,"arc_sweep_degrees":37.877662,"ray_endpoints":[[409.9978,223.2174],[457.9492,271.2925]],"vertex":[348.21,285.0]}],"canvas_size":[477,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2093","image_path":"images/angle_estimation_2093.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2093_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2093_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2093_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2093_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2093_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2093}
+{"angle_1_degrees":140.037012,"angle_2_degrees":37.35154,"angles":[{"angle_degrees":140.037012,"arc_sweep_degrees":140.037012,"ray_endpoints":[[201.0222,191.0332],[108.7444,397.9385]],"vertex":[122.31,267.33]},{"angle_degrees":37.35154,"arc_sweep_degrees":37.35154,"ray_endpoints":[[431.366,266.8193],[437.6505,348.1089]],"vertex":[330.69,267.33]}],"canvas_size":[453,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2094","image_path":"images/angle_estimation_2094.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2094_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2094_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2094_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2094_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2094_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2094}
+{"angle_1_degrees":88.680883,"angle_2_degrees":151.596001,"angles":[{"angle_degrees":88.680883,"arc_sweep_degrees":88.680883,"ray_endpoints":[[59.3038,223.1617],[190.006,162.5214]],"vertex":[130.95,266.19]},{"angle_degrees":151.596001,"arc_sweep_degrees":151.596001,"ray_endpoints":[[255.6861,323.4606],[414.9254,166.4079]],"vertex":[354.05,266.19]}],"canvas_size":[485,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2095","image_path":"images/angle_estimation_2095.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2095_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2095_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2095_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2095_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2095_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2095}
+{"canvas_size":[451,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2096","image_path":"images/angle_estimation_2096.png","interior_angles_degrees":[139.066445,22.134531,18.799024],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2096_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2096_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2096_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2096_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2096_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2096,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[214.9363,334.3526],[396.0,334.3526],[55.0,195.6474]]}
+{"canvas_size":[455,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2097","image_path":"images/angle_estimation_2097.png","interior_angles_degrees":[101.898803,27.595899,50.505298],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2097_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2097_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2097_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2097_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2097_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2097,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[92.9976,349.1651],[400.0,349.1651],[55.0,168.8349]]}
+{"canvas_size":[465,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2098","image_path":"images/angle_estimation_2098.png","interior_angles_degrees":[121.603718,20.428846,37.967436],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2098_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2098_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2098_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2098_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2098_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2098,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[136.3583,329.6134],[410.0,329.6134],[55.0,197.3866]]}
+{"canvas_size":[477,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2099","image_path":"images/angle_estimation_2099.png","interior_angles_degrees":[115.050117,20.666749,44.283134],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2099_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2099_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2099_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2099_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2099_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2099,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[119.7005,331.7172],[422.0,331.7172],[55.0,193.2828]]}
+{"canvas_size":[498,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2100","image_path":"images/angle_estimation_2100.png","interior_angles_degrees":[101.784444,27.362054,50.853502],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2100_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2100_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2100_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2100_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2100_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2100,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[96.8912,349.3971],[443.0,349.3971],[55.0,148.6029]]}
+{"angle_degrees":132.762974,"arc_sweep_degrees":132.762974,"canvas_size":[496,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2101","image_path":"images/angle_estimation_2101.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2101_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2101_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2101_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"47","question_id":"angle_estimation_2101_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2101_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[114.1697,163.0234],[353.8704,237.2857]],"scene_type":"single","seed":2101,"vertex":[248.0,259.0]}
+{"angle_degrees":169.049702,"arc_sweep_degrees":169.049702,"canvas_size":[469,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2102","image_path":"images/angle_estimation_2102.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2102_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_2102_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2102_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"11","question_id":"angle_estimation_2102_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2102_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[141.3037,136.8804],[356.0391,367.289]],"scene_type":"single","seed":2102,"vertex":[234.5,259.0]}
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+{"angle_degrees":69.601053,"arc_sweep_degrees":69.601053,"canvas_size":[500,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2108","image_path":"images/angle_estimation_2108.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2108_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_2108_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2108_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"110","question_id":"angle_estimation_2108_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2108_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[222.3939,373.6742],[89.2951,268.416]],"scene_type":"single","seed":2108,"vertex":[250.0,245.0]}
+{"angle_1_degrees":27.004571,"angle_2_degrees":54.339078,"angles":[{"angle_degrees":27.004571,"arc_sweep_degrees":27.004571,"ray_endpoints":[[47.0601,234.4117],[62.1359,184.6792]],"vertex":[128.25,275.88]},{"angle_degrees":54.339078,"arc_sweep_degrees":54.339078,"ray_endpoints":[[265.4141,208.0697],[354.9952,162.4438]],"vertex":[346.75,275.88]}],"canvas_size":[475,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2109","image_path":"images/angle_estimation_2109.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2109_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2109_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2109_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2109_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2109_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2109}
+{"angle_1_degrees":157.991973,"angle_2_degrees":19.905874,"angles":[{"angle_degrees":157.991973,"arc_sweep_degrees":157.991973,"ray_endpoints":[[194.6488,197.2879],[70.0485,380.5892]],"vertex":[123.39,264.48]},{"angle_degrees":19.905874,"arc_sweep_degrees":19.905874,"ray_endpoints":[[437.8389,269.8546],[444.908,311.3974]],"vertex":[333.61,264.48]}],"canvas_size":[457,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2110","image_path":"images/angle_estimation_2110.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2110_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2110_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_2110_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2110_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2110_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2110}
+{"angle_1_degrees":69.842592,"angle_2_degrees":82.961286,"angles":[{"angle_degrees":69.842592,"arc_sweep_degrees":69.842592,"ray_endpoints":[[29.9408,294.9914],[61.5836,169.6408]],"vertex":[127.44,274.17]},{"angle_degrees":82.961286,"arc_sweep_degrees":82.961286,"ray_endpoints":[[271.0132,258.1821],[356.2152,146.7333]],"vertex":[344.56,274.17]}],"canvas_size":[472,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2111","image_path":"images/angle_estimation_2111.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2111_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2111_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2111_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2111_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2111_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2111}
+{"angle_1_degrees":76.190256,"angle_2_degrees":15.101641,"angles":[{"angle_degrees":76.190256,"arc_sweep_degrees":76.190256,"ray_endpoints":[[61.095,180.7386],[214.2844,175.0705]],"vertex":[123.12,274.17]},{"angle_degrees":15.101641,"arc_sweep_degrees":15.101641,"ray_endpoints":[[354.6178,186.1794],[388.8267,173.1502]],"vertex":[332.88,274.17]}],"canvas_size":[456,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2112","image_path":"images/angle_estimation_2112.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2112_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2112_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2112_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2112_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2112_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2112}
+{"angle_1_degrees":78.4147,"angle_2_degrees":108.469665,"angles":[{"angle_degrees":78.4147,"arc_sweep_degrees":78.4147,"ray_endpoints":[[34.7428,251.4266],[116.8249,148.919]],"vertex":[121.5,265.62]},{"angle_degrees":108.469665,"arc_sweep_degrees":108.469665,"ray_endpoints":[[422.6577,279.865],[280.5319,359.4684]],"vertex":[328.5,265.62]}],"canvas_size":[450,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2113","image_path":"images/angle_estimation_2113.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2113_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2113_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2113_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2113_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2113_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2113}
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+{"angle_1_degrees":67.108641,"angle_2_degrees":18.420838,"angles":[{"angle_degrees":67.108641,"arc_sweep_degrees":67.108641,"ray_endpoints":[[198.0724,334.225],[98.1063,378.5654]],"vertex":[127.44,277.02]},{"angle_degrees":18.420838,"arc_sweep_degrees":18.420838,"ray_endpoints":[[434.997,228.7989],[455.9647,258.0858]],"vertex":[344.56,277.02]}],"canvas_size":[472,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2115","image_path":"images/angle_estimation_2115.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2115_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2115_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2115_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2115_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2115_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2115}
+{"canvas_size":[486,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2116","image_path":"images/angle_estimation_2116.png","interior_angles_degrees":[54.231392,45.736978,80.031631],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2116_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2116_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2116_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2116_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2116_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2116,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,355.4151],[431.0,355.4151],[214.8043,133.5849]]}
+{"canvas_size":[462,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2117","image_path":"images/angle_estimation_2117.png","interior_angles_degrees":[74.90036,43.126502,61.973138],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2117_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2117_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2117_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2117_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2117_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2117,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,386.594],[407.0,386.594],[126.0118,123.406]]}
+{"canvas_size":[477,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2118","image_path":"images/angle_estimation_2118.png","interior_angles_degrees":[73.963151,49.738817,56.298032],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2118_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2118_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2118_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2118_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2118_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2118,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,415.2682],[422.0,415.2682],[147.9978,91.7318]]}
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+{"angle_degrees":142.431792,"arc_sweep_degrees":142.431792,"canvas_size":[457,463],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2128","image_path":"images/angle_estimation_2128.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2128_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2128_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2128_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"38","question_id":"angle_estimation_2128_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2128_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[351.4716,301.9637],[106.9211,269.6545]],"scene_type":"single","seed":2128,"vertex":[228.5,243.5]}
+{"angle_1_degrees":55.921033,"angle_2_degrees":133.098619,"angles":[{"angle_degrees":55.921033,"arc_sweep_degrees":55.921033,"ray_endpoints":[[189.3838,347.8711],[88.8119,409.0806]],"vertex":[123.93,273.6]},{"angle_degrees":133.098619,"arc_sweep_degrees":133.098619,"ray_endpoints":[[332.306,172.6039],[416.3626,345.6]],"vertex":[335.07,273.6]}],"canvas_size":[459,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2129","image_path":"images/angle_estimation_2129.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2129_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2129_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2129_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2129_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2129_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2129}
+{"angle_1_degrees":161.509452,"angle_2_degrees":121.884791,"angles":[{"angle_degrees":161.509452,"arc_sweep_degrees":161.509452,"ray_endpoints":[[67.6621,348.2996],[160.7793,148.8492]],"vertex":[125.28,266.76]},{"angle_degrees":121.884791,"arc_sweep_degrees":121.884791,"ray_endpoints":[[278.3867,222.174],[449.8897,222.6303]],"vertex":[338.72,266.76]}],"canvas_size":[464,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2130","image_path":"images/angle_estimation_2130.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2130_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2130_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2130_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2130_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2130_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2130}
+{"angle_1_degrees":64.923419,"angle_2_degrees":16.091096,"angles":[{"angle_degrees":64.923419,"arc_sweep_degrees":64.923419,"ray_endpoints":[[51.7146,342.7844],[17.0877,221.5359]],"vertex":[132.3,270.75]},{"angle_degrees":16.091096,"arc_sweep_degrees":16.091096,"ray_endpoints":[[344.7173,184.6985],[372.3595,159.5727]],"vertex":[357.7,270.75]}],"canvas_size":[490,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2131","image_path":"images/angle_estimation_2131.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2131_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2131_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2131_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2131_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2131_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2131}
+{"angle_1_degrees":126.41931,"angle_2_degrees":48.06608,"angles":[{"angle_degrees":126.41931,"arc_sweep_degrees":126.41931,"ray_endpoints":[[33.493,269.5797],[196.2431,148.6169]],"vertex":[129.06,260.49]},{"angle_degrees":48.06608,"arc_sweep_degrees":48.06608,"ray_endpoints":[[431.9871,252.5593],[453.6233,356.7886]],"vertex":[348.94,260.49]}],"canvas_size":[478,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2132","image_path":"images/angle_estimation_2132.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2132_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2132_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2132_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2132_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2132_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2132}
+{"angle_1_degrees":65.840408,"angle_2_degrees":134.089459,"angles":[{"angle_degrees":65.840408,"arc_sweep_degrees":65.840408,"ray_endpoints":[[207.9513,224.5656],[210.7272,339.9064]],"vertex":[122.04,267.9]},{"angle_degrees":134.089459,"arc_sweep_degrees":134.089459,"ray_endpoints":[[254.2052,245.349],[424.9217,214.5378]],"vertex":[329.96,267.9]}],"canvas_size":[452,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2133","image_path":"images/angle_estimation_2133.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2133_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2133_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2133_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2133_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2133_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2133}
+{"angle_1_degrees":61.630704,"angle_2_degrees":33.103064,"angles":[{"angle_degrees":61.630704,"arc_sweep_degrees":61.630704,"ray_endpoints":[[42.2393,205.8454],[142.9682,158.4318]],"vertex":[129.33,267.9]},{"angle_degrees":33.103064,"arc_sweep_degrees":33.103064,"ray_endpoints":[[269.737,222.1334],[288.0531,147.5062]],"vertex":[349.67,267.9]}],"canvas_size":[479,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2134","image_path":"images/angle_estimation_2134.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2134_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2134_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2134_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2134_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2134_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2134}
+{"angle_1_degrees":131.957306,"angle_2_degrees":35.387455,"angles":[{"angle_degrees":131.957306,"arc_sweep_degrees":131.957306,"ray_endpoints":[[215.5777,205.9321],[105.5895,392.9866]],"vertex":[131.76,256.5]},{"angle_degrees":35.387455,"arc_sweep_degrees":35.387455,"ray_endpoints":[[416.1854,330.1836],[364.8333,387.8658]],"vertex":[356.24,256.5]}],"canvas_size":[488,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2135","image_path":"images/angle_estimation_2135.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2135_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2135_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2135_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2135_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2135_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2135}
+{"canvas_size":[460,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2136","image_path":"images/angle_estimation_2136.png","interior_angles_degrees":[89.427892,33.268933,57.303175],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2136_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2136_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2136_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2136_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2136_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2136,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,354.5704],[405.0,354.5704],[57.2781,126.4296]]}
+{"canvas_size":[486,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2137","image_path":"images/angle_estimation_2137.png","interior_angles_degrees":[89.683172,42.549654,47.767174],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2137_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2137_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2137_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2137_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2137_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2137,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,420.6987],[431.0,420.6987],[56.8989,77.3013]]}
+{"canvas_size":[486,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2138","image_path":"images/angle_estimation_2138.png","interior_angles_degrees":[89.587605,36.311582,54.100813],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2138_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2138_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2138_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2138_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2138_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2138,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,396.9313],[431.0,396.9313],[56.9784,122.0687]]}
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+{"angle_1_degrees":11.675726,"angle_2_degrees":52.243003,"angles":[{"angle_degrees":11.675726,"arc_sweep_degrees":11.675726,"ray_endpoints":[[71.9977,188.7333],[72.2944,144.8733]],"vertex":[129.87,264.48]},{"angle_degrees":52.243003,"arc_sweep_degrees":52.243003,"ray_endpoints":[[252.9869,312.2013],[253.9776,216.4389]],"vertex":[351.13,264.48]}],"canvas_size":[481,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2152","image_path":"images/angle_estimation_2152.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2152_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2152_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2152_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2152_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2152_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2152}
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+{"angle_degrees":111.350895,"arc_sweep_degrees":111.350895,"canvas_size":[483,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2163","image_path":"images/angle_estimation_2163.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2163_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_2163_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2163_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"69","question_id":"angle_estimation_2163_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2163_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[379.7754,204.3184],[236.0383,366.9752]],"scene_type":"single","seed":2163,"vertex":[241.5,251.0]}
+{"angle_degrees":197.134298,"arc_sweep_degrees":197.134298,"canvas_size":[469,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2164","image_path":"images/angle_estimation_2164.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2164_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_2164_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2164_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"17","question_id":"angle_estimation_2164_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2164_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[128.4387,139.45],[281.7327,362.9107]],"scene_type":"single","seed":2164,"vertex":[234.5,259.0]}
+{"angle_degrees":89.999983,"arc_sweep_degrees":89.999983,"canvas_size":[481,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2165","image_path":"images/angle_estimation_2165.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"right","question_id":"angle_estimation_2165_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_2165_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"approximately equal to","question_id":"angle_estimation_2165_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"90","question_id":"angle_estimation_2165_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2165_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[187.147,101.8058],[384.5535,205.4936]],"scene_type":"single","seed":2165,"vertex":[240.5,255.5]}
+{"angle_degrees":50.311018,"arc_sweep_degrees":50.311018,"canvas_size":[458,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2166","image_path":"images/angle_estimation_2166.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2166_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_2166_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2166_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"130","question_id":"angle_estimation_2166_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2166_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[135.6199,379.5621],[91.5846,261.5607]],"scene_type":"single","seed":2166,"vertex":[229.0,254.5]}
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+{"angle_degrees":291.059556,"arc_sweep_degrees":291.059556,"canvas_size":[456,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2168","image_path":"images/angle_estimation_2168.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2168_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_2168_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2168_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"111","question_id":"angle_estimation_2168_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2168_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[186.6084,388.9792],[346.4469,349.7084]],"scene_type":"single","seed":2168,"vertex":[228.0,256.0]}
+{"angle_1_degrees":51.793305,"angle_2_degrees":41.221794,"angles":[{"angle_degrees":51.793305,"arc_sweep_degrees":51.793305,"ray_endpoints":[[56.2809,304.3594],[26.07,217.7315]],"vertex":[127.17,275.88]},{"angle_degrees":41.221794,"arc_sweep_degrees":41.221794,"ray_endpoints":[[354.3601,354.1033],[284.6302,365.135]],"vertex":[343.83,275.88]}],"canvas_size":[471,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2169","image_path":"images/angle_estimation_2169.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2169_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2169_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2169_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2169_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2169_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2169}
+{"angle_1_degrees":146.010276,"angle_2_degrees":26.833411,"angles":[{"angle_degrees":146.010276,"arc_sweep_degrees":146.010276,"ray_endpoints":[[68.0499,313.5658],[172.062,136.6245]],"vertex":[128.79,266.76]},{"angle_degrees":26.833411,"arc_sweep_degrees":26.833411,"ray_endpoints":[[366.4733,182.4331],[434.9997,159.7886]],"vertex":[348.21,266.76]}],"canvas_size":[477,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2170","image_path":"images/angle_estimation_2170.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2170_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2170_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_2170_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2170_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2170_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2170}
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+{"angle_1_degrees":59.673288,"angle_2_degrees":35.325148,"angles":[{"angle_degrees":59.673288,"arc_sweep_degrees":59.673288,"ray_endpoints":[[54.6675,287.1619],[36.6502,179.4436]],"vertex":[130.41,262.2]},{"angle_degrees":35.325148,"arc_sweep_degrees":35.325148,"ray_endpoints":[[423.6102,236.2971],[462.7604,292.3122]],"vertex":[352.59,262.2]}],"canvas_size":[483,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2172","image_path":"images/angle_estimation_2172.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2172_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2172_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2172_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2172_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2172_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2172}
+{"angle_1_degrees":78.238934,"angle_2_degrees":89.284708,"angles":[{"angle_degrees":78.238934,"arc_sweep_degrees":78.238934,"ray_endpoints":[[54.6267,215.6411],[170.4405,162.6474]],"vertex":[133.11,264.48]},{"angle_degrees":89.284708,"arc_sweep_degrees":89.284708,"ray_endpoints":[[450.5059,228.2459],[407.0526,378.2843]],"vertex":[359.89,264.48]}],"canvas_size":[493,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2173","image_path":"images/angle_estimation_2173.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2173_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2173_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2173_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2173_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2173_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2173}
+{"angle_1_degrees":152.600932,"angle_2_degrees":89.96354,"angles":[{"angle_degrees":152.600932,"arc_sweep_degrees":152.600932,"ray_endpoints":[[149.0271,368.4466],[31.144,151.7818]],"vertex":[122.31,257.07]},{"angle_degrees":89.96354,"arc_sweep_degrees":89.96354,"ray_endpoints":[[259.831,170.372],[414.3063,188.6409]],"vertex":[330.69,257.07]}],"canvas_size":[453,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2174","image_path":"images/angle_estimation_2174.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2174_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2174_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2174_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2174_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2174_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2174}
+{"angle_1_degrees":20.824652,"angle_2_degrees":71.718162,"angles":[{"angle_degrees":20.824652,"arc_sweep_degrees":20.824652,"ray_endpoints":[[58.07,180.9724],[79.9992,128.6745]],"vertex":[127.71,262.77]},{"angle_degrees":71.718162,"arc_sweep_degrees":71.718162,"ray_endpoints":[[414.5274,305.4456],[312.615,400.2825]],"vertex":[345.29,262.77]}],"canvas_size":[473,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2175","image_path":"images/angle_estimation_2175.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2175_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2175_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2175_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2175_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2175_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2175}
+{"canvas_size":[460,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2176","image_path":"images/angle_estimation_2176.png","interior_angles_degrees":[45.101145,55.767086,79.13177],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2176_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2176_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2176_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2176_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2176_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2176,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,361.8583],[405.0,361.8583],[262.981,153.1417]]}
+{"canvas_size":[496,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2177","image_path":"images/angle_estimation_2177.png","interior_angles_degrees":[55.387038,72.000149,52.612813],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2177_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2177_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2177_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2177_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2177_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2177,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,451.6282],[441.0,451.6282],[317.4483,71.3718]]}
+{"canvas_size":[495,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2178","image_path":"images/angle_estimation_2178.png","interior_angles_degrees":[56.570526,39.597398,83.832076],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2178_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2178_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2178_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2178_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2178_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2178,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,344.4951],[440.0,344.4951],[190.9776,138.5049]]}
+{"canvas_size":[472,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2179","image_path":"images/angle_estimation_2179.png","interior_angles_degrees":[65.503748,55.320271,59.175981],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2179_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2179_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2179_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2179_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2179_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2179,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,412.7264],[417.0,412.7264],[198.7352,97.2736]]}
+{"canvas_size":[460,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2180","image_path":"images/angle_estimation_2180.png","interior_angles_degrees":[69.800693,43.288096,66.911211],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2180_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2180_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2180_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2180_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2180_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2180,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,382.4178],[405.0,382.4178],[145.0786,137.5822]]}
+{"angle_degrees":172.654673,"arc_sweep_degrees":172.654673,"canvas_size":[459,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2181","image_path":"images/angle_estimation_2181.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2181_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_2181_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2181_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"7","question_id":"angle_estimation_2181_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2181_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[136.2074,377.2796],[283.7073,159.2395]],"scene_type":"single","seed":2181,"vertex":[229.5,254.0]}
+{"angle_degrees":257.459662,"arc_sweep_degrees":257.459662,"canvas_size":[467,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2182","image_path":"images/angle_estimation_2182.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2182_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_2182_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2182_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"77","question_id":"angle_estimation_2182_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2182_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[372.9663,205.2517],[177.1193,160.7774]],"scene_type":"single","seed":2182,"vertex":[233.5,253.0]}
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+{"angle_1_degrees":25.168745,"angle_2_degrees":65.359985,"angles":[{"angle_degrees":25.168745,"arc_sweep_degrees":25.168745,"ray_endpoints":[[93.2046,178.5866],[139.4967,161.7249]],"vertex":[124.2,276.45]},{"angle_degrees":65.359985,"arc_sweep_degrees":65.359985,"ray_endpoints":[[420.0165,206.9247],[447.6232,330.5519]],"vertex":[335.8,276.45]}],"canvas_size":[460,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2191","image_path":"images/angle_estimation_2191.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2191_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2191_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2191_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2191_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2191_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2191}
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+{"canvas_size":[456,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2196","image_path":"images/angle_estimation_2196.png","interior_angles_degrees":[90.195981,33.897336,55.906683],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2196_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2196_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2196_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2196_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2196_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2196,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.7952,372.2395],[401.0,372.2395],[55.0,139.7605]]}
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+{"canvas_size":[496,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2198","image_path":"images/angle_estimation_2198.png","interior_angles_degrees":[89.232348,56.163001,34.604651],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2198_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2198_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2198_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2198_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2198_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2198,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[127.9973,416.0],[368.0027,416.0],[132.7003,65.0]]}
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+{"angle_degrees":342.105325,"arc_sweep_degrees":342.105325,"canvas_size":[451,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2202","image_path":"images/angle_estimation_2202.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2202_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_2202_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2202_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"162","question_id":"angle_estimation_2202_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2202_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[302.815,365.3503],[358.2304,355.998]],"scene_type":"single","seed":2202,"vertex":[225.5,262.0]}
+{"angle_degrees":186.709636,"arc_sweep_degrees":186.709636,"canvas_size":[484,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2203","image_path":"images/angle_estimation_2203.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2203_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_2203_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2203_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"7","question_id":"angle_estimation_2203_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2203_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[103.4377,363.5774],[348.3594,200.0804]],"scene_type":"single","seed":2203,"vertex":[242.0,261.0]}
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+{"angle_degrees":149.569288,"arc_sweep_degrees":149.569288,"canvas_size":[478,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2206","image_path":"images/angle_estimation_2206.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2206_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_2206_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2206_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"30","question_id":"angle_estimation_2206_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2206_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[335.0399,398.1651],[100.2701,195.2135]],"scene_type":"single","seed":2206,"vertex":[239.0,259.5]}
+{"angle_degrees":322.808705,"arc_sweep_degrees":322.808705,"canvas_size":[495,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2207","image_path":"images/angle_estimation_2207.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2207_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_2207_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2207_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"143","question_id":"angle_estimation_2207_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2207_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[339.8949,365.5658],[379.8118,281.5206]],"scene_type":"single","seed":2207,"vertex":[247.5,245.5]}
+{"angle_degrees":324.414658,"arc_sweep_degrees":324.414658,"canvas_size":[457,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2208","image_path":"images/angle_estimation_2208.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2208_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_2208_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2208_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"144","question_id":"angle_estimation_2208_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2208_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[353.7942,249.5156],[328.6018,174.5261]],"scene_type":"single","seed":2208,"vertex":[228.5,261.0]}
+{"angle_1_degrees":84.200653,"angle_2_degrees":46.687986,"angles":[{"angle_degrees":84.200653,"arc_sweep_degrees":84.200653,"ray_endpoints":[[73.0286,339.0729],[28.9404,216.2231]],"vertex":[122.58,281.01]},{"angle_degrees":46.687986,"arc_sweep_degrees":46.687986,"ray_endpoints":[[252.4904,241.5545],[294.9054,159.7034]],"vertex":[331.42,281.01]}],"canvas_size":[454,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2209","image_path":"images/angle_estimation_2209.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2209_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2209_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2209_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2209_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2209_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2209}
+{"angle_1_degrees":56.854758,"angle_2_degrees":21.587218,"angles":[{"angle_degrees":56.854758,"arc_sweep_degrees":56.854758,"ray_endpoints":[[77.4386,176.5415],[183.1226,142.5315]],"vertex":[133.92,259.92]},{"angle_degrees":21.587218,"arc_sweep_degrees":21.587218,"ray_endpoints":[[443.4934,264.9888],[483.4762,316.915]],"vertex":[362.08,259.92]}],"canvas_size":[496,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2210","image_path":"images/angle_estimation_2210.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2210_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2210_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2210_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2210_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2210_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2210}
+{"angle_1_degrees":146.864618,"angle_2_degrees":42.174291,"angles":[{"angle_degrees":146.864618,"arc_sweep_degrees":146.864618,"ray_endpoints":[[83.2824,348.6986],[117.0976,134.0295]],"vertex":[130.14,257.07]},{"angle_degrees":42.174291,"arc_sweep_degrees":42.174291,"ray_endpoints":[[417.0367,325.9992],[354.8355,396.4582]],"vertex":[351.86,257.07]}],"canvas_size":[482,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2211","image_path":"images/angle_estimation_2211.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2211_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2211_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2211_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2211_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2211_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2211}
+{"angle_1_degrees":155.64509,"angle_2_degrees":77.825438,"angles":[{"angle_degrees":155.64509,"arc_sweep_degrees":155.64509,"ray_endpoints":[[27.3521,313.2896],[199.1381,180.3132]],"vertex":[130.14,263.34]},{"angle_degrees":77.825438,"arc_sweep_degrees":77.825438,"ray_endpoints":[[452.8099,215.5411],[422.5172,355.3833]],"vertex":[351.86,263.34]}],"canvas_size":[482,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2212","image_path":"images/angle_estimation_2212.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2212_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2212_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2212_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2212_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2212_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2212}
+{"angle_1_degrees":67.95237,"angle_2_degrees":25.282535,"angles":[{"angle_degrees":67.95237,"arc_sweep_degrees":67.95237,"ray_endpoints":[[53.8119,339.3382],[28.4638,226.093]],"vertex":[126.63,275.31]},{"angle_degrees":25.282535,"arc_sweep_degrees":25.282535,"ray_endpoints":[[376.3101,383.3873],[327.4295,383.6973]],"vertex":[342.37,275.31]}],"canvas_size":[469,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2213","image_path":"images/angle_estimation_2213.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2213_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2213_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2213_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2213_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2213_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2213}
+{"angle_1_degrees":30.280683,"angle_2_degrees":138.068663,"angles":[{"angle_degrees":30.280683,"arc_sweep_degrees":30.280683,"ray_endpoints":[[62.6314,348.1857],[21.0021,311.9228]],"vertex":[126.09,281.58]},{"angle_degrees":138.068663,"arc_sweep_degrees":138.068663,"ray_endpoints":[[302.7999,174.8024],[452.8944,342.197]],"vertex":[340.91,281.58]}],"canvas_size":[467,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2214","image_path":"images/angle_estimation_2214.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2214_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2214_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_2214_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2214_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2214_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2214}
+{"angle_1_degrees":99.407708,"angle_2_degrees":156.487732,"angles":[{"angle_degrees":99.407708,"arc_sweep_degrees":99.407708,"ray_endpoints":[[33.2889,346.4089],[72.3186,171.2531]],"vertex":[125.28,282.15]},{"angle_degrees":156.487732,"arc_sweep_degrees":156.487732,"ray_endpoints":[[306.2973,212.4155],[435.2424,367.7018]],"vertex":[338.72,282.15]}],"canvas_size":[464,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2215","image_path":"images/angle_estimation_2215.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2215_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2215_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2215_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2215_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2215_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2215}
+{"canvas_size":[487,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2216","image_path":"images/angle_estimation_2216.png","interior_angles_degrees":[115.298509,25.575628,39.125862],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2216_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2216_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2216_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2216_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2216_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2216,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[140.2836,340.7155],[432.0,340.7155],[55.0,160.2845]]}
+{"canvas_size":[461,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2217","image_path":"images/angle_estimation_2217.png","interior_angles_degrees":[105.882824,30.237678,43.879498],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2217_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2217_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2217_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2217_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2217_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2217,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[113.2144,350.298],[406.0,350.298],[55.0,145.702]]}
+{"canvas_size":[455,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2218","image_path":"images/angle_estimation_2218.png","interior_angles_degrees":[133.133713,20.20145,26.664836],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2218_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2218_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2218_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2218_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2218_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2218,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[173.9334,311.9726],[400.0,311.9726],[55.0,185.0274]]}
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+{"angle_degrees":284.027423,"arc_sweep_degrees":284.027423,"canvas_size":[497,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2221","image_path":"images/angle_estimation_2221.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2221_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_2221_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2221_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"104","question_id":"angle_estimation_2221_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2221_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[169.8719,403.4522],[342.0315,339.0256]],"scene_type":"single","seed":2221,"vertex":[248.5,255.0]}
+{"angle_degrees":307.677866,"arc_sweep_degrees":307.677866,"canvas_size":[463,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2222","image_path":"images/angle_estimation_2222.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2222_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_2222_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2222_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"128","question_id":"angle_estimation_2222_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2222_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[361.5726,265.2803],[338.9482,142.9087]],"scene_type":"single","seed":2222,"vertex":[231.5,245.5]}
+{"angle_degrees":101.062399,"arc_sweep_degrees":101.062399,"canvas_size":[497,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2223","image_path":"images/angle_estimation_2223.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2223_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_2223_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2223_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"79","question_id":"angle_estimation_2223_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2223_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[234.2034,382.0502],[92.0354,207.413]],"scene_type":"single","seed":2223,"vertex":[248.5,257.0]}
+{"angle_degrees":70.575988,"arc_sweep_degrees":70.575988,"canvas_size":[497,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2224","image_path":"images/angle_estimation_2224.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2224_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_2224_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2224_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"109","question_id":"angle_estimation_2224_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2224_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[281.2702,135.7699],[376.9713,248.8165]],"scene_type":"single","seed":2224,"vertex":[248.5,259.0]}
+{"angle_degrees":29.999978,"arc_sweep_degrees":29.999978,"canvas_size":[461,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2225","image_path":"images/angle_estimation_2225.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2225_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2225_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2225_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_2225_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2225_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[344.9258,367.9511],[265.9255,395.5623]],"scene_type":"single","seed":2225,"vertex":[230.5,247.0]}
+{"angle_degrees":129.859906,"arc_sweep_degrees":129.859906,"canvas_size":[455,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2226","image_path":"images/angle_estimation_2226.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2226_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2226_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2226_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"50","question_id":"angle_estimation_2226_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2226_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[141.9888,365.9884],[200.3286,134.852]],"scene_type":"single","seed":2226,"vertex":[227.5,253.5]}
+{"angle_degrees":136.491227,"arc_sweep_degrees":136.491227,"canvas_size":[496,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2227","image_path":"images/angle_estimation_2227.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2227_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2227_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2227_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"44","question_id":"angle_estimation_2227_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2227_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[237.0405,85.0379],[336.4341,326.7738]],"scene_type":"single","seed":2227,"vertex":[248.0,245.5]}
+{"angle_degrees":111.087266,"arc_sweep_degrees":111.087266,"canvas_size":[468,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2228","image_path":"images/angle_estimation_2228.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2228_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_2228_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2228_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"69","question_id":"angle_estimation_2228_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2228_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[300.7034,96.9553],[322.9749,335.316]],"scene_type":"single","seed":2228,"vertex":[234.0,245.5]}
+{"angle_1_degrees":17.348405,"angle_2_degrees":81.593353,"angles":[{"angle_degrees":17.348405,"arc_sweep_degrees":17.348405,"ray_endpoints":[[117.4099,360.1828],[68.2972,404.6467]],"vertex":[129.06,275.31]},{"angle_degrees":81.593353,"arc_sweep_degrees":81.593353,"ray_endpoints":[[390.2157,172.5709],[454.2425,300.5545]],"vertex":[348.94,275.31]}],"canvas_size":[478,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2229","image_path":"images/angle_estimation_2229.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2229_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2229_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2229_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2229_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2229_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2229}
+{"angle_1_degrees":84.195622,"angle_2_degrees":102.117075,"angles":[{"angle_degrees":84.195622,"arc_sweep_degrees":84.195622,"ray_endpoints":[[46.2751,187.9013],[195.849,185.8781]],"vertex":[124.2,269.61]},{"angle_degrees":102.117075,"arc_sweep_degrees":102.117075,"ray_endpoints":[[283.4,340.3333],[256.4868,179.4808]],"vertex":[335.8,269.61]}],"canvas_size":[460,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2230","image_path":"images/angle_estimation_2230.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2230_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2230_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2230_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2230_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2230_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2230}
+{"angle_1_degrees":168.107735,"angle_2_degrees":132.478335,"angles":[{"angle_degrees":168.107735,"arc_sweep_degrees":168.107735,"ray_endpoints":[[74.9555,313.2057],[196.9538,168.7047]],"vertex":[135.0,257.07]},{"angle_degrees":132.478335,"arc_sweep_degrees":132.478335,"ray_endpoints":[[264.7503,234.6596],[453.5192,195.2708]],"vertex":[365.0,257.07]}],"canvas_size":[500,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2231","image_path":"images/angle_estimation_2231.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2231_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2231_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2231_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2231_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2231_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2231}
+{"angle_1_degrees":15.090178,"angle_2_degrees":67.220633,"angles":[{"angle_degrees":15.090178,"arc_sweep_degrees":15.090178,"ray_endpoints":[[92.4629,209.039],[99.4819,143.9002]],"vertex":[134.19,284.43]},{"angle_degrees":67.220633,"arc_sweep_degrees":67.220633,"ray_endpoints":[[450.6714,270.3288],[438.6076,406.2171]],"vertex":[362.81,284.43]}],"canvas_size":[497,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2232","image_path":"images/angle_estimation_2232.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2232_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2232_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2232_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2232_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2232_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2232}
+{"angle_1_degrees":74.5773,"angle_2_degrees":100.969618,"angles":[{"angle_degrees":74.5773,"arc_sweep_degrees":74.5773,"ray_endpoints":[[59.1314,365.7869],[27.8676,234.1811]],"vertex":[130.14,280.44]},{"angle_degrees":100.969618,"arc_sweep_degrees":100.969618,"ray_endpoints":[[458.698,284.9347],[319.852,415.018]],"vertex":[351.86,280.44]}],"canvas_size":[482,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2233","image_path":"images/angle_estimation_2233.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2233_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2233_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2233_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2233_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2233_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2233}
+{"angle_1_degrees":107.9785,"angle_2_degrees":133.942537,"angles":[{"angle_degrees":107.9785,"arc_sweep_degrees":107.9785,"ray_endpoints":[[234.4782,238.1902],[145.5505,414.1217]],"vertex":[135.0,279.3]},{"angle_degrees":133.942537,"arc_sweep_degrees":133.942537,"ray_endpoints":[[277.6572,297.3519],[432.1799,172.8886]],"vertex":[365.0,279.3]}],"canvas_size":[500,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2234","image_path":"images/angle_estimation_2234.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2234_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2234_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2234_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2234_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2234_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2234}
+{"angle_1_degrees":51.082414,"angle_2_degrees":30.776495,"angles":[{"angle_degrees":51.082414,"arc_sweep_degrees":51.082414,"ray_endpoints":[[210.9665,287.9139],[185.8229,394.111]],"vertex":[125.82,267.33]},{"angle_degrees":30.776495,"arc_sweep_degrees":30.776495,"ray_endpoints":[[366.4417,370.2008],[308.3992,374.9274]],"vertex":[340.18,267.33]}],"canvas_size":[466,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2235","image_path":"images/angle_estimation_2235.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2235_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2235_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2235_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2235_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2235_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2235}
+{"canvas_size":[485,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2236","image_path":"images/angle_estimation_2236.png","interior_angles_degrees":[63.808197,53.38924,62.802563],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2236_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2236_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2236_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2236_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2236_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2236,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,397.3415],[430.0,397.3415],[204.3766,93.6585]]}
+{"canvas_size":[453,455],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2237","image_path":"images/angle_estimation_2237.png","interior_angles_degrees":[52.843223,67.786358,59.370419],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2237_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2237_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2237_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2237_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2237_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2237,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,389.5559],[398.0,389.5559],[277.8935,95.4441]]}
+{"canvas_size":[495,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2238","image_path":"images/angle_estimation_2238.png","interior_angles_degrees":[65.501372,29.0319,85.466728],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2238_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2238_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2238_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2238_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2238_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2238,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,331.2759],[440.0,331.2759],[132.72,160.7241]]}
+{"canvas_size":[466,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2239","image_path":"images/angle_estimation_2239.png","interior_angles_degrees":[43.287867,48.854963,87.85717],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2239_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2239_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2239_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2239_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2239_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2239,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,334.9723],[411.0,334.9723],[250.2801,151.0277]]}
+{"canvas_size":[498,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2240","image_path":"images/angle_estimation_2240.png","interior_angles_degrees":[54.029089,53.304376,72.666535],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2240_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2240_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2240_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2240_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2240_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2240,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,380.8808],[443.0,380.8808],[246.4295,117.1192]]}
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+{"angle_degrees":296.32993,"arc_sweep_degrees":296.32993,"canvas_size":[482,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2242","image_path":"images/angle_estimation_2242.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2242_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_2242_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2242_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"116","question_id":"angle_estimation_2242_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2242_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[225.0404,423.9423],[344.3588,318.9018]],"scene_type":"single","seed":2242,"vertex":[241.0,255.0]}
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+{"angle_1_degrees":30.493868,"angle_2_degrees":48.608696,"angles":[{"angle_degrees":30.493868,"arc_sweep_degrees":30.493868,"ray_endpoints":[[67.8928,171.8868],[119.3325,136.95]],"vertex":[122.04,259.35]},{"angle_degrees":48.608696,"arc_sweep_degrees":48.608696,"ray_endpoints":[[361.2214,336.9768],[264.9645,388.729]],"vertex":[329.96,259.35]}],"canvas_size":[452,455],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2251","image_path":"images/angle_estimation_2251.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2251_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2251_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2251_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2251_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2251_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2251}
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+{"angle_1_degrees":34.989589,"angle_2_degrees":10.094136,"angles":[{"angle_degrees":34.989589,"arc_sweep_degrees":34.989589,"ray_endpoints":[[26.6615,282.1693],[29.3548,215.1991]],"vertex":[129.33,274.17]},{"angle_degrees":10.094136,"arc_sweep_degrees":10.094136,"ray_endpoints":[[304.9542,341.1746],[259.6215,368.0341]],"vertex":[349.67,274.17]}],"canvas_size":[479,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2253","image_path":"images/angle_estimation_2253.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2253_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2253_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2253_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2253_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2253_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2253}
+{"angle_1_degrees":71.846261,"angle_2_degrees":14.650715,"angles":[{"angle_degrees":71.846261,"arc_sweep_degrees":71.846261,"ray_endpoints":[[33.7311,293.1591],[56.197,153.5604]],"vertex":[124.47,275.31]},{"angle_degrees":14.650715,"arc_sweep_degrees":14.650715,"ray_endpoints":[[366.9883,378.4879],[339.8314,380.5976]],"vertex":[336.53,275.31]}],"canvas_size":[461,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2254","image_path":"images/angle_estimation_2254.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2254_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2254_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2254_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2254_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2254_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2254}
+{"angle_1_degrees":114.568549,"angle_2_degrees":74.025439,"angles":[{"angle_degrees":114.568549,"arc_sweep_degrees":114.568549,"ray_endpoints":[[111.637,367.7929],[28.6808,193.6558]],"vertex":[134.19,278.16]},{"angle_degrees":74.025439,"arc_sweep_degrees":74.025439,"ray_endpoints":[[340.4046,191.5791],[459.2376,221.3977]],"vertex":[362.81,278.16]}],"canvas_size":[497,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2255","image_path":"images/angle_estimation_2255.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2255_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2255_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2255_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2255_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2255_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2255}
+{"canvas_size":[457,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2256","image_path":"images/angle_estimation_2256.png","interior_angles_degrees":[89.253301,32.117158,58.629541],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2256_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2256_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2256_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2256_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2256_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2256,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,367.525],[402.0,367.525],[57.8158,151.475]]}
+{"canvas_size":[452,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2257","image_path":"images/angle_estimation_2257.png","interior_angles_degrees":[90.503076,40.736743,48.76018],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2257_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2257_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2257_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2257_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2257_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2257,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[57.5863,390.7741],[397.0,390.7741],[55.0,96.2259]]}
+{"canvas_size":[454,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2258","image_path":"images/angle_estimation_2258.png","interior_angles_degrees":[89.589494,42.059855,48.350651],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2258_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2258_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2258_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2258_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2258_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2258,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,415.6983],[399.0,415.6983],[57.2096,107.3017]]}
+{"canvas_size":[456,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2259","image_path":"images/angle_estimation_2259.png","interior_angles_degrees":[90.001587,41.577585,48.420828],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2259_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2259_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2259_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2259_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2259_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2259,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0085,417.4756],[401.0,417.4756],[55.0,110.5244]]}
+{"canvas_size":[466,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2260","image_path":"images/angle_estimation_2260.png","interior_angles_degrees":[89.044335,36.924887,54.030778],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2260_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2260_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2260_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2260_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2260_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2260,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,393.611],[411.0,393.611],[59.4075,129.389]]}
+{"angle_degrees":196.132246,"arc_sweep_degrees":196.132246,"canvas_size":[469,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2261","image_path":"images/angle_estimation_2261.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2261_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_2261_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2261_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"16","question_id":"angle_estimation_2261_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2261_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[356.0277,317.1326],[126.4783,163.9165]],"scene_type":"single","seed":2261,"vertex":[234.5,259.5]}
+{"angle_degrees":144.509123,"arc_sweep_degrees":144.509123,"canvas_size":[463,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2262","image_path":"images/angle_estimation_2262.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2262_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_2262_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2262_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"35","question_id":"angle_estimation_2262_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2262_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[271.6501,404.0898],[119.5017,149.8674]],"scene_type":"single","seed":2262,"vertex":[231.5,245.0]}
+{"angle_degrees":322.828196,"arc_sweep_degrees":322.828196,"canvas_size":[453,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2263","image_path":"images/angle_estimation_2263.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2263_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_2263_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2263_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"143","question_id":"angle_estimation_2263_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2263_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[288.7002,361.9561],[370.021,313.7362]],"scene_type":"single","seed":2263,"vertex":[226.5,251.5]}
+{"angle_degrees":25.677642,"arc_sweep_degrees":25.677642,"canvas_size":[495,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2264","image_path":"images/angle_estimation_2264.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2264_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2264_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2264_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"154","question_id":"angle_estimation_2264_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2264_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[332.5736,119.534],[336.3343,199.3668]],"scene_type":"single","seed":2264,"vertex":[247.5,255.5]}
+{"angle_degrees":59.999988,"arc_sweep_degrees":59.999988,"canvas_size":[453,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2265","image_path":"images/angle_estimation_2265.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2265_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_2265_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2265_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_2265_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2265_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[195.1553,384.2016],[77.0195,295.283]],"scene_type":"single","seed":2265,"vertex":[226.5,250.0]}
+{"angle_degrees":98.990359,"arc_sweep_degrees":98.990359,"canvas_size":[499,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2266","image_path":"images/angle_estimation_2266.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2266_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_2266_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2266_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"81","question_id":"angle_estimation_2266_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2266_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[241.4819,84.0459],[389.35,252.7211]],"scene_type":"single","seed":2266,"vertex":[249.5,238.0]}
+{"angle_degrees":234.703205,"arc_sweep_degrees":234.703205,"canvas_size":[484,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2267","image_path":"images/angle_estimation_2267.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2267_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_2267_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2267_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"55","question_id":"angle_estimation_2267_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2267_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[247.4158,114.9725],[153.5486,300.166]],"scene_type":"single","seed":2267,"vertex":[242.0,243.0]}
+{"angle_degrees":100.712061,"arc_sweep_degrees":100.712061,"canvas_size":[460,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2268","image_path":"images/angle_estimation_2268.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2268_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_2268_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2268_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"79","question_id":"angle_estimation_2268_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2268_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[338.3735,136.3003],[308.9923,360.9505]],"scene_type":"single","seed":2268,"vertex":[230.0,260.5]}
+{"angle_1_degrees":155.970896,"angle_2_degrees":57.1208,"angles":[{"angle_degrees":155.970896,"arc_sweep_degrees":155.970896,"ray_endpoints":[[190.6637,366.8477],[22.6136,207.8935]],"vertex":[131.22,277.02]},{"angle_degrees":57.1208,"arc_sweep_degrees":57.1208,"ray_endpoints":[[273.3678,264.459],[299.9633,154.5231]],"vertex":[354.78,277.02]}],"canvas_size":[486,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2269","image_path":"images/angle_estimation_2269.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2269_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2269_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2269_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2269_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2269_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2269}
+{"angle_1_degrees":51.628977,"angle_2_degrees":39.814026,"angles":[{"angle_degrees":51.628977,"arc_sweep_degrees":51.628977,"ray_endpoints":[[208.5512,352.388],[121.2596,416.9435]],"vertex":[126.09,282.15]},{"angle_degrees":39.814026,"arc_sweep_degrees":39.814026,"ray_endpoints":[[379.9888,203.2757],[446.3501,235.5804]],"vertex":[340.91,282.15]}],"canvas_size":[467,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2270","image_path":"images/angle_estimation_2270.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2270_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2270_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2270_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2270_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2270_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2270}
+{"angle_1_degrees":161.227765,"angle_2_degrees":20.767856,"angles":[{"angle_degrees":161.227765,"arc_sweep_degrees":161.227765,"ray_endpoints":[[216.9142,207.587],[47.7159,380.8337]],"vertex":[128.79,269.61]},{"angle_degrees":20.767856,"arc_sweep_degrees":20.767856,"ray_endpoints":[[310.4734,202.1586],[330.1433,148.1074]],"vertex":[348.21,269.61]}],"canvas_size":[477,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2271","image_path":"images/angle_estimation_2271.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2271_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2271_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_2271_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2271_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2271_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2271}
+{"angle_1_degrees":164.984164,"angle_2_degrees":78.915537,"angles":[{"angle_degrees":164.984164,"arc_sweep_degrees":164.984164,"ray_endpoints":[[98.5362,189.4198],[193.9863,356.5071]],"vertex":[126.09,262.2]},{"angle_degrees":78.915537,"arc_sweep_degrees":78.915537,"ray_endpoints":[[437.3469,264.2807],[364.3643,397.3046]],"vertex":[340.91,262.2]}],"canvas_size":[467,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2272","image_path":"images/angle_estimation_2272.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2272_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2272_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2272_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2272_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2272_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2272}
+{"angle_1_degrees":66.787586,"angle_2_degrees":33.558039,"angles":[{"angle_degrees":66.787586,"arc_sweep_degrees":66.787586,"ray_endpoints":[[223.096,265.2244],[175.88,374.6975]],"vertex":[133.92,260.49]},{"angle_degrees":33.558039,"arc_sweep_degrees":33.558039,"ray_endpoints":[[312.3763,353.7609],[266.9094,311.9249]],"vertex":[362.08,260.49]}],"canvas_size":[496,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2273","image_path":"images/angle_estimation_2273.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2273_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2273_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2273_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2273_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2273_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2273}
+{"angle_1_degrees":114.051483,"angle_2_degrees":64.335629,"angles":[{"angle_degrees":114.051483,"arc_sweep_degrees":114.051483,"ray_endpoints":[[74.8527,330.6802],[97.6307,169.6344]],"vertex":[133.65,276.45]},{"angle_degrees":64.335629,"arc_sweep_degrees":64.335629,"ray_endpoints":[[267.418,270.9368],[310.0874,151.492]],"vertex":[361.35,276.45]}],"canvas_size":[495,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2274","image_path":"images/angle_estimation_2274.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2274_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2274_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2274_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2274_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2274_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2274}
+{"angle_1_degrees":88.990895,"angle_2_degrees":142.591277,"angles":[{"angle_degrees":88.990895,"arc_sweep_degrees":88.990895,"ray_endpoints":[[90.3244,193.94],[227.6688,215.0706]],"vertex":[131.49,269.61]},{"angle_degrees":142.591277,"arc_sweep_degrees":142.591277,"ray_endpoints":[[445.2391,228.5248],[291.4226,390.1959]],"vertex":[355.51,269.61]}],"canvas_size":[487,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2275","image_path":"images/angle_estimation_2275.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2275_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2275_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2275_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2275_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2275_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2275}
+{"canvas_size":[475,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2276","image_path":"images/angle_estimation_2276.png","interior_angles_degrees":[124.086274,25.367232,30.546493],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2276_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2276_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2276_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2276_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2276_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2276,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[172.1093,331.5295],[420.0,331.5295],[55.0,158.4705]]}
+{"canvas_size":[472,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2277","image_path":"images/angle_estimation_2277.png","interior_angles_degrees":[115.536348,21.790056,42.673596],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2277_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2277_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2277_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2277_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2277_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2277,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[124.1391,328.8584],[417.0,328.8584],[55.0,184.1416]]}
+{"canvas_size":[459,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2278","image_path":"images/angle_estimation_2278.png","interior_angles_degrees":[107.314355,33.258745,39.426899],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2278_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2278_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2278_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2278_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2278_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2278,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[126.3544,354.9453],[404.0,354.9453],[55.0,126.0547]]}
+{"canvas_size":[478,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2279","image_path":"images/angle_estimation_2279.png","interior_angles_degrees":[113.988974,31.53597,34.475056],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2279_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2279_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2279_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2279_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2279_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2279,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[155.4933,370.9143],[423.0,370.9143],[55.0,145.0857]]}
+{"canvas_size":[498,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2280","image_path":"images/angle_estimation_2280.png","interior_angles_degrees":[129.610433,20.720829,29.668738],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2280_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2280_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2280_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2280_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2280_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2280,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[176.4672,324.8871],[443.0,324.8871],[55.0,178.1129]]}
+{"angle_degrees":260.184987,"arc_sweep_degrees":260.184987,"canvas_size":[470,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2281","image_path":"images/angle_estimation_2281.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2281_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_2281_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2281_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"80","question_id":"angle_estimation_2281_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2281_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[104.8247,269.526],[270.8484,395.5701]],"scene_type":"single","seed":2281,"vertex":[235.0,258.5]}
+{"angle_degrees":214.714357,"arc_sweep_degrees":214.714357,"canvas_size":[460,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2282","image_path":"images/angle_estimation_2282.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2282_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_2282_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2282_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"35","question_id":"angle_estimation_2282_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2282_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[351.0334,341.5389],[192.2965,96.5708]],"scene_type":"single","seed":2282,"vertex":[230.0,238.5]}
+{"angle_degrees":292.973223,"arc_sweep_degrees":292.973223,"canvas_size":[454,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2283","image_path":"images/angle_estimation_2283.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2283_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_2283_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2283_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"113","question_id":"angle_estimation_2283_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2283_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[333.8911,176.494],[202.2252,135.7812]],"scene_type":"single","seed":2283,"vertex":[227.0,251.5]}
+{"angle_degrees":172.234803,"arc_sweep_degrees":172.234803,"canvas_size":[472,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2284","image_path":"images/angle_estimation_2284.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2284_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_2284_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2284_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"8","question_id":"angle_estimation_2284_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2284_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[275.1366,117.4949],[211.664,401.3488]],"scene_type":"single","seed":2284,"vertex":[236.0,247.5]}
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+{"angle_degrees":131.553388,"arc_sweep_degrees":131.553388,"canvas_size":[489,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2288","image_path":"images/angle_estimation_2288.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2288_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2288_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2288_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"48","question_id":"angle_estimation_2288_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2288_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[414.9098,221.6265],[161.5237,394.6117]],"scene_type":"single","seed":2288,"vertex":[244.5,254.5]}
+{"angle_1_degrees":73.865714,"angle_2_degrees":16.730339,"angles":[{"angle_degrees":73.865714,"arc_sweep_degrees":73.865714,"ray_endpoints":[[55.4137,330.1218],[29.3195,186.1999]],"vertex":[133.38,283.86]},{"angle_degrees":16.730339,"arc_sweep_degrees":16.730339,"ray_endpoints":[[382.8007,383.2397],[350.8533,418.5101]],"vertex":[360.62,283.86]}],"canvas_size":[494,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2289","image_path":"images/angle_estimation_2289.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2289_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2289_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2289_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2289_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2289_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2289}
+{"angle_1_degrees":144.703514,"angle_2_degrees":47.321863,"angles":[{"angle_degrees":144.703514,"arc_sweep_degrees":144.703514,"ray_endpoints":[[211.2675,289.1119],[31.9374,322.9845]],"vertex":[132.57,275.31]},{"angle_degrees":47.321863,"arc_sweep_degrees":47.321863,"ray_endpoints":[[286.7152,217.4932],[349.5928,142.3374]],"vertex":[358.43,275.31]}],"canvas_size":[491,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2290","image_path":"images/angle_estimation_2290.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2290_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2290_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2290_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2290_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2290_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2290}
+{"angle_1_degrees":87.356847,"angle_2_degrees":147.361887,"angles":[{"angle_degrees":87.356847,"arc_sweep_degrees":87.356847,"ray_endpoints":[[22.5958,251.935],[126.12,154.4824]],"vertex":[122.58,259.92]},{"angle_degrees":147.361887,"arc_sweep_degrees":147.361887,"ray_endpoints":[[366.3016,158.0603],[356.4493,362.3265]],"vertex":[331.42,259.92]}],"canvas_size":[454,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2291","image_path":"images/angle_estimation_2291.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2291_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2291_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2291_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2291_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2291_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2291}
+{"angle_1_degrees":45.191987,"angle_2_degrees":53.511807,"angles":[{"angle_degrees":45.191987,"arc_sweep_degrees":45.191987,"ray_endpoints":[[23.7902,292.0321],[22.1246,198.2717]],"vertex":[126.63,277.59]},{"angle_degrees":53.511807,"arc_sweep_degrees":53.511807,"ray_endpoints":[[378.4512,352.1386],[286.4609,384.1488]],"vertex":[342.37,277.59]}],"canvas_size":[469,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2292","image_path":"images/angle_estimation_2292.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2292_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2292_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2292_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2292_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2292_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2292}
+{"angle_1_degrees":73.94067,"angle_2_degrees":102.472876,"angles":[{"angle_degrees":73.94067,"arc_sweep_degrees":73.94067,"ray_endpoints":[[180.7452,371.1094],[45.7804,358.034]],"vertex":[131.22,276.45]},{"angle_degrees":102.472876,"arc_sweep_degrees":102.472876,"ray_endpoints":[[276.26,341.3406],[301.8432,172.9943]],"vertex":[354.78,276.45]}],"canvas_size":[486,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2293","image_path":"images/angle_estimation_2293.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2293_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2293_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2293_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2293_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2293_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2293}
+{"angle_1_degrees":73.152225,"angle_2_degrees":148.295993,"angles":[{"angle_degrees":73.152225,"arc_sweep_degrees":73.152225,"ray_endpoints":[[75.9515,201.9993],[211.6744,165.0996]],"vertex":[125.55,273.6]},{"angle_degrees":148.295993,"arc_sweep_degrees":148.295993,"ray_endpoints":[[408.8529,189.5838],[322.5748,395.9196]],"vertex":[339.45,273.6]}],"canvas_size":[465,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2294","image_path":"images/angle_estimation_2294.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2294_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2294_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2294_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2294_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2294_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2294}
+{"angle_1_degrees":66.118026,"angle_2_degrees":21.915382,"angles":[{"angle_degrees":66.118026,"arc_sweep_degrees":66.118026,"ray_endpoints":[[60.3214,218.7325],[160.3597,167.013]],"vertex":[126.09,276.45]},{"angle_degrees":21.915382,"arc_sweep_degrees":21.915382,"ray_endpoints":[[423.48,333.6435],[417.8708,393.2756]],"vertex":[340.91,276.45]}],"canvas_size":[467,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2295","image_path":"images/angle_estimation_2295.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2295_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2295_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2295_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2295_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2295_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2295}
+{"canvas_size":[481,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2296","image_path":"images/angle_estimation_2296.png","interior_angles_degrees":[46.621287,83.004334,50.374379],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2296_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2296_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2296_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2296_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2296_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2296,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,431.7449],[426.0,431.7449],[383.3603,84.2551]]}
+{"canvas_size":[479,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2297","image_path":"images/angle_estimation_2297.png","interior_angles_degrees":[49.931679,66.909232,63.159088],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2297_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2297_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2297_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2297_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2297_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2297,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,407.0645],[424.0,407.0645],[299.8784,115.9355]]}
+{"canvas_size":[488,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2298","image_path":"images/angle_estimation_2298.png","interior_angles_degrees":[49.726291,79.040608,51.233101],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2298_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2298_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2298_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2298_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2298_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2298,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,445.0705],[433.0,445.0705],[362.6796,81.9295]]}
+{"canvas_size":[459,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2299","image_path":"images/angle_estimation_2299.png","interior_angles_degrees":[50.128061,84.458534,45.413405],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2299_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2299_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2299_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2299_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2299_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2299,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,441.168],[404.0,441.168],[367.6821,66.832]]}
+{"canvas_size":[480,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2300","image_path":"images/angle_estimation_2300.png","interior_angles_degrees":[44.57328,83.121247,52.305473],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2300_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2300_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2300_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2300_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2300_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2300,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,416.4031],[425.0,416.4031],[385.6957,90.5969]]}
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+{"angle_degrees":164.4292,"arc_sweep_degrees":164.4292,"canvas_size":[485,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2304","image_path":"images/angle_estimation_2304.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2304_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_2304_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2304_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"16","question_id":"angle_estimation_2304_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2304_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[358.7462,300.0927],[93.9677,223.5369]],"scene_type":"single","seed":2304,"vertex":[242.5,247.0]}
+{"angle_degrees":179.999986,"arc_sweep_degrees":179.999986,"canvas_size":[461,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2305","image_path":"images/angle_estimation_2305.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2305_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_2305_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2305_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_2305_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2305_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[347.6625,323.6837],[119.4935,178.2404]],"scene_type":"single","seed":2305,"vertex":[230.5,249.0]}
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+{"angle_1_degrees":91.987581,"angle_2_degrees":166.771649,"angles":[{"angle_degrees":91.987581,"arc_sweep_degrees":91.987581,"ray_endpoints":[[193.9904,348.037],[24.3197,370.1574]],"vertex":[126.63,278.16]},{"angle_degrees":166.771649,"arc_sweep_degrees":166.771649,"ray_endpoints":[[426.0797,231.446],[264.2691,349.4558]],"vertex":[342.37,278.16]}],"canvas_size":[469,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2310","image_path":"images/angle_estimation_2310.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2310_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2310_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2310_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2310_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2310_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2310}
+{"angle_1_degrees":50.257031,"angle_2_degrees":30.216561,"angles":[{"angle_degrees":50.257031,"arc_sweep_degrees":50.257031,"ray_endpoints":[[199.1142,341.657],[116.7623,385.3146]],"vertex":[123.93,270.75]},{"angle_degrees":30.216561,"arc_sweep_degrees":30.216561,"ray_endpoints":[[310.8651,177.6082],[370.6126,143.8718]],"vertex":[335.07,270.75]}],"canvas_size":[459,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2311","image_path":"images/angle_estimation_2311.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2311_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2311_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2311_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2311_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2311_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2311}
+{"angle_1_degrees":85.312105,"angle_2_degrees":95.918684,"angles":[{"angle_degrees":85.312105,"arc_sweep_degrees":85.312105,"ray_endpoints":[[193.5286,344.3763],[55.4674,370.6907]],"vertex":[133.92,282.15]},{"angle_degrees":95.918684,"arc_sweep_degrees":95.918684,"ray_endpoints":[[318.8086,196.7228],[473.8658,239.3628]],"vertex":[362.08,282.15]}],"canvas_size":[496,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2312","image_path":"images/angle_estimation_2312.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2312_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2312_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2312_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2312_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2312_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2312}
+{"angle_1_degrees":49.232297,"angle_2_degrees":162.667672,"angles":[{"angle_degrees":49.232297,"arc_sweep_degrees":49.232297,"ray_endpoints":[[47.4303,207.3181],[125.6347,138.9823]],"vertex":[129.06,274.17]},{"angle_degrees":162.667672,"arc_sweep_degrees":162.667672,"ray_endpoints":[[362.122,195.9292],[365.7446,397.3429]],"vertex":[348.94,274.17]}],"canvas_size":[478,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2313","image_path":"images/angle_estimation_2313.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2313_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2313_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_2313_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2313_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2313_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2313}
+{"angle_1_degrees":73.296596,"angle_2_degrees":26.061868,"angles":[{"angle_degrees":73.296596,"arc_sweep_degrees":73.296596,"ray_endpoints":[[166.9556,323.9687],[40.8115,352.1613]],"vertex":[124.74,256.5]},{"angle_degrees":26.061868,"arc_sweep_degrees":26.061868,"ray_endpoints":[[329.8762,342.9688],[265.417,376.3383]],"vertex":[337.26,256.5]}],"canvas_size":[462,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2314","image_path":"images/angle_estimation_2314.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2314_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2314_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2314_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2314_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2314_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2314}
+{"angle_1_degrees":95.214031,"angle_2_degrees":86.334331,"angles":[{"angle_degrees":95.214031,"arc_sweep_degrees":95.214031,"ray_endpoints":[[221.3662,251.0127],[143.1721,392.809]],"vertex":[133.11,266.19]},{"angle_degrees":86.334331,"arc_sweep_degrees":86.334331,"ray_endpoints":[[447.1465,270.8549],[361.3893,408.071]],"vertex":[359.89,266.19]}],"canvas_size":[493,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2315","image_path":"images/angle_estimation_2315.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2315_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2315_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2315_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2315_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2315_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2315}
+{"canvas_size":[492,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2316","image_path":"images/angle_estimation_2316.png","interior_angles_degrees":[90.268774,46.86906,42.862166],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2316_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2316_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2316_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2316_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2316_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2316,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[70.2549,444.0],[423.523,444.0],[68.477,65.0]]}
+{"canvas_size":[474,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2317","image_path":"images/angle_estimation_2317.png","interior_angles_degrees":[90.874095,53.272698,35.853207],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2317_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2317_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2317_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2317_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2317_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2317,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[109.6224,421.0],[369.8091,421.0],[104.1909,65.0]]}
+{"canvas_size":[456,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2318","image_path":"images/angle_estimation_2318.png","interior_angles_degrees":[90.899765,49.693873,39.406362],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2318_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2318_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2318_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2318_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2318_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2318,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[77.2939,434.0],[384.5013,434.0],[71.4987,65.0]]}
+{"canvas_size":[457,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2319","image_path":"images/angle_estimation_2319.png","interior_angles_degrees":[89.465137,52.187352,38.347511],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2319_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2319_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2319_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2319_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2319_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2319,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[88.7044,421.0],[368.2956,421.0],[92.0278,65.0]]}
+{"canvas_size":[481,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2320","image_path":"images/angle_estimation_2320.png","interior_angles_degrees":[90.613406,31.504368,57.882226],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2320_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2320_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2320_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2320_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2320_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2320,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[57.4345,366.694],[426.0,366.694],[55.0,139.306]]}
+{"angle_degrees":43.035096,"arc_sweep_degrees":43.035096,"canvas_size":[472,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2321","image_path":"images/angle_estimation_2321.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2321_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_2321_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2321_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"137","question_id":"angle_estimation_2321_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2321_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[76.6042,270.4335],[124.8429,170.1146]],"scene_type":"single","seed":2321,"vertex":[236.0,245.5]}
+{"angle_degrees":304.919353,"arc_sweep_degrees":304.919353,"canvas_size":[493,455],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2322","image_path":"images/angle_estimation_2322.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2322_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_2322_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2322_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"125","question_id":"angle_estimation_2322_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2322_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[391.7895,261.1342],[346.9954,133.1871]],"scene_type":"single","seed":2322,"vertex":[246.5,239.5]}
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+{"angle_degrees":122.294625,"arc_sweep_degrees":122.294625,"canvas_size":[484,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2324","image_path":"images/angle_estimation_2324.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2324_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_2324_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2324_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"58","question_id":"angle_estimation_2324_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2324_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[380.067,238.9359],[166.0429,392.8418]],"scene_type":"single","seed":2324,"vertex":[242.0,249.5]}
+{"angle_degrees":89.999978,"arc_sweep_degrees":89.999978,"canvas_size":[483,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2325","image_path":"images/angle_estimation_2325.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"right","question_id":"angle_estimation_2325_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_2325_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"approximately equal to","question_id":"angle_estimation_2325_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"90","question_id":"angle_estimation_2325_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2325_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[84.5742,198.6115],[279.1041,139.9245]],"scene_type":"single","seed":2325,"vertex":[241.5,251.5]}
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+{"angle_degrees":121.976435,"arc_sweep_degrees":121.976435,"canvas_size":[462,455],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2327","image_path":"images/angle_estimation_2327.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2327_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_2327_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2327_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"58","question_id":"angle_estimation_2327_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2327_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[338.9102,130.746],[257.4346,351.7927]],"scene_type":"single","seed":2327,"vertex":[231.0,239.5]}
+{"angle_degrees":138.576583,"arc_sweep_degrees":138.576583,"canvas_size":[463,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2328","image_path":"images/angle_estimation_2328.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2328_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2328_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2328_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"41","question_id":"angle_estimation_2328_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2328_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[169.1124,133.8025],[356.75,302.4439]],"scene_type":"single","seed":2328,"vertex":[231.5,254.0]}
+{"angle_1_degrees":89.287317,"angle_2_degrees":134.253345,"angles":[{"angle_degrees":89.287317,"arc_sweep_degrees":89.287317,"ray_endpoints":[[60.2265,347.3012],[37.7839,186.3075]],"vertex":[131.22,263.34]},{"angle_degrees":134.253345,"arc_sweep_degrees":134.253345,"ray_endpoints":[[421.1902,221.4686],[324.8634,403.8206]],"vertex":[354.78,263.34]}],"canvas_size":[486,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2329","image_path":"images/angle_estimation_2329.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2329_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2329_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2329_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2329_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2329_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2329}
+{"angle_1_degrees":14.855044,"angle_2_degrees":76.898692,"angles":[{"angle_degrees":14.855044,"arc_sweep_degrees":14.855044,"ray_endpoints":[[55.4089,327.7301],[30.3762,312.58]],"vertex":[126.09,256.5]},{"angle_degrees":76.898692,"arc_sweep_degrees":76.898692,"ray_endpoints":[[416.8911,202.1288],[441.8164,345.1847]],"vertex":[340.91,256.5]}],"canvas_size":[467,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2330","image_path":"images/angle_estimation_2330.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2330_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2330_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2330_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2330_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2330_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2330}
+{"angle_1_degrees":60.291934,"angle_2_degrees":124.919445,"angles":[{"angle_degrees":60.291934,"arc_sweep_degrees":60.291934,"ray_endpoints":[[135.7483,368.9227],[21.4126,344.2808]],"vertex":[126.09,270.18]},{"angle_degrees":124.919445,"arc_sweep_degrees":124.919445,"ray_endpoints":[[444.6012,223.9432],[320.3529,377.0627]],"vertex":[340.91,270.18]}],"canvas_size":[467,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2331","image_path":"images/angle_estimation_2331.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2331_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2331_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2331_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2331_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2331_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2331}
+{"angle_1_degrees":95.101289,"angle_2_degrees":158.855854,"angles":[{"angle_degrees":95.101289,"arc_sweep_degrees":95.101289,"ray_endpoints":[[34.4901,254.3271],[161.0592,148.2517]],"vertex":[124.2,272.46]},{"angle_degrees":158.855854,"arc_sweep_degrees":158.855854,"ray_endpoints":[[341.4885,360.6375],[285.4229,163.6101]],"vertex":[335.8,272.46]}],"canvas_size":[460,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2332","image_path":"images/angle_estimation_2332.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2332_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2332_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2332_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2332_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2332_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2332}
+{"angle_1_degrees":18.982229,"angle_2_degrees":83.50117,"angles":[{"angle_degrees":18.982229,"arc_sweep_degrees":18.982229,"ray_endpoints":[[92.7742,196.1535],[123.735,155.6024]],"vertex":[122.04,285.0]},{"angle_degrees":83.50117,"arc_sweep_degrees":83.50117,"ray_endpoints":[[252.0284,310.3101],[270.4295,154.3193]],"vertex":[329.96,285.0]}],"canvas_size":[452,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2333","image_path":"images/angle_estimation_2333.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2333_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2333_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2333_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2333_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2333_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2333}
+{"angle_1_degrees":71.530902,"angle_2_degrees":106.742353,"angles":[{"angle_degrees":71.530902,"arc_sweep_degrees":71.530902,"ray_endpoints":[[215.5779,297.8037],[129.1325,397.0197]],"vertex":[131.76,267.9]},{"angle_degrees":106.742353,"arc_sweep_degrees":106.742353,"ray_endpoints":[[453.1297,231.0401],[365.2773,394.409]],"vertex":[356.24,267.9]}],"canvas_size":[488,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2334","image_path":"images/angle_estimation_2334.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2334_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2334_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2334_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2334_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2334_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2334}
+{"angle_1_degrees":56.356337,"angle_2_degrees":78.325645,"angles":[{"angle_degrees":56.356337,"arc_sweep_degrees":56.356337,"ray_endpoints":[[56.7287,280.3144],[46.8964,176.2278]],"vertex":[131.76,268.47]},{"angle_degrees":78.325645,"arc_sweep_degrees":78.325645,"ray_endpoints":[[402.4102,335.1308],[264.2225,365.035]],"vertex":[356.24,268.47]}],"canvas_size":[488,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2335","image_path":"images/angle_estimation_2335.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2335_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2335_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2335_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2335_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2335_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2335}
+{"canvas_size":[479,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2336","image_path":"images/angle_estimation_2336.png","interior_angles_degrees":[129.808989,24.668998,25.522012],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2336_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2336_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2336_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2336_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2336_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2336,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[196.2498,339.2396],[424.0,339.2396],[55.0,169.7604]]}
+{"canvas_size":[488,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2337","image_path":"images/angle_estimation_2337.png","interior_angles_degrees":[115.548755,28.657328,35.793917],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2337_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2337_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2337_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2337_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2337_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2337,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[153.751,351.2916],[433.0,351.2916],[55.0,144.7084]]}
+{"canvas_size":[483,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2338","image_path":"images/angle_estimation_2338.png","interior_angles_degrees":[120.971567,31.96675,27.061682],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2338_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2338_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2338_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2338_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2338_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2338,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[194.7084,373.8877],[428.0,373.8877],[55.0,141.1123]]}
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+{"canvas_size":[460,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2340","image_path":"images/angle_estimation_2340.png","interior_angles_degrees":[126.261859,25.629057,28.109084],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2340_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2340_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2340_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2340_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2340_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2340,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[178.1703,332.9551],[405.0,332.9551],[55.0,165.0449]]}
+{"angle_degrees":235.155292,"arc_sweep_degrees":235.155292,"canvas_size":[484,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2341","image_path":"images/angle_estimation_2341.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2341_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_2341_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2341_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"55","question_id":"angle_estimation_2341_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2341_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[361.8376,351.3119],[254.6085,112.6782]],"scene_type":"single","seed":2341,"vertex":[242.0,250.5]}
+{"angle_degrees":230.969673,"arc_sweep_degrees":230.969673,"canvas_size":[485,463],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2342","image_path":"images/angle_estimation_2342.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2342_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2342_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2342_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"51","question_id":"angle_estimation_2342_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2342_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[189.3745,371.1808],[369.2818,206.0921]],"scene_type":"single","seed":2342,"vertex":[242.5,243.5]}
+{"angle_degrees":279.306276,"arc_sweep_degrees":279.306276,"canvas_size":[482,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2343","image_path":"images/angle_estimation_2343.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2343_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_2343_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2343_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"99","question_id":"angle_estimation_2343_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2343_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[393.2005,200.2827],[229.3721,99.7128]],"scene_type":"single","seed":2343,"vertex":[241.0,238.5]}
+{"angle_degrees":111.322787,"arc_sweep_degrees":111.322787,"canvas_size":[474,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2344","image_path":"images/angle_estimation_2344.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2344_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_2344_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2344_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"69","question_id":"angle_estimation_2344_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2344_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[261.5388,384.127],[113.6772,220.892]],"scene_type":"single","seed":2344,"vertex":[237.0,245.5]}
+{"angle_degrees":90.000034,"arc_sweep_degrees":90.000034,"canvas_size":[491,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2345","image_path":"images/angle_estimation_2345.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"right","question_id":"angle_estimation_2345_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_2345_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"approximately equal to","question_id":"angle_estimation_2345_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"90","question_id":"angle_estimation_2345_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2345_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[368.1189,349.4134],[178.6754,338.9307]],"scene_type":"single","seed":2345,"vertex":[245.5,253.5]}
+{"angle_degrees":68.884892,"arc_sweep_degrees":68.884892,"canvas_size":[474,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2346","image_path":"images/angle_estimation_2346.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2346_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_2346_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2346_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"111","question_id":"angle_estimation_2346_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2346_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[306.2657,380.2343],[165.5367,338.7723]],"scene_type":"single","seed":2346,"vertex":[237.0,254.0]}
+{"angle_degrees":112.316299,"arc_sweep_degrees":112.316299,"canvas_size":[463,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2347","image_path":"images/angle_estimation_2347.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2347_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_2347_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2347_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"68","question_id":"angle_estimation_2347_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2347_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[99.1942,221.626],[318.2912,141.6699]],"scene_type":"single","seed":2347,"vertex":[231.5,256.5]}
+{"angle_degrees":335.294068,"arc_sweep_degrees":335.294068,"canvas_size":[460,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2348","image_path":"images/angle_estimation_2348.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2348_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_2348_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2348_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"155","question_id":"angle_estimation_2348_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2348_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[101.08,235.1884],[90.6455,295.0251]],"scene_type":"single","seed":2348,"vertex":[230.0,254.0]}
+{"angle_1_degrees":55.989407,"angle_2_degrees":39.360927,"angles":[{"angle_degrees":55.989407,"arc_sweep_degrees":55.989407,"ray_endpoints":[[52.3516,274.3486],[84.5496,188.8995]],"vertex":[132.3,285.0]},{"angle_degrees":39.360927,"arc_sweep_degrees":39.360927,"ray_endpoints":[[441.8396,317.7066],[411.7607,380.9538]],"vertex":[357.7,285.0]}],"canvas_size":[490,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2349","image_path":"images/angle_estimation_2349.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2349_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2349_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2349_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2349_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2349_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2349}
+{"angle_1_degrees":106.787383,"angle_2_degrees":76.201264,"angles":[{"angle_degrees":106.787383,"arc_sweep_degrees":106.787383,"ray_endpoints":[[225.3654,303.8208],[65.7214,372.2483]],"vertex":[131.49,274.74]},{"angle_degrees":76.201264,"arc_sweep_degrees":76.201264,"ray_endpoints":[[280.9435,298.2292],[286.9451,161.8982]],"vertex":[355.51,274.74]}],"canvas_size":[487,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2350","image_path":"images/angle_estimation_2350.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2350_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2350_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2350_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2350_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2350_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2350}
+{"angle_1_degrees":84.011111,"angle_2_degrees":75.218594,"angles":[{"angle_degrees":84.011111,"arc_sweep_degrees":84.011111,"ray_endpoints":[[49.8812,252.9099],[133.9024,155.9018]],"vertex":[129.6,264.48]},{"angle_degrees":75.218594,"arc_sweep_degrees":75.218594,"ray_endpoints":[[426.7907,275.7705],[365.923,403.4401]],"vertex":[350.4,264.48]}],"canvas_size":[480,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2351","image_path":"images/angle_estimation_2351.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2351_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2351_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2351_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2351_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2351_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2351}
+{"angle_1_degrees":85.725564,"angle_2_degrees":15.969298,"angles":[{"angle_degrees":85.725564,"arc_sweep_degrees":85.725564,"ray_endpoints":[[75.0668,367.9298],[27.0562,228.7965]],"vertex":[128.52,281.58]},{"angle_degrees":15.969298,"arc_sweep_degrees":15.969298,"ray_endpoints":[[363.2136,375.0268],[331.723,421.7902]],"vertex":[347.48,281.58]}],"canvas_size":[476,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2352","image_path":"images/angle_estimation_2352.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2352_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2352_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2352_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2352_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2352_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2352}
+{"angle_1_degrees":22.119297,"angle_2_degrees":155.969115,"angles":[{"angle_degrees":22.119297,"arc_sweep_degrees":22.119297,"ray_endpoints":[[98.5091,196.3976],[123.627,141.9666]],"vertex":[132.03,265.05]},{"angle_degrees":155.969115,"arc_sweep_degrees":155.969115,"ray_endpoints":[[298.8919,328.1538],[398.4215,141.8387]],"vertex":[356.97,265.05]}],"canvas_size":[489,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2353","image_path":"images/angle_estimation_2353.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2353_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2353_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_2353_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2353_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2353_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2353}
+{"angle_1_degrees":137.75771,"angle_2_degrees":93.524158,"angles":[{"angle_degrees":137.75771,"arc_sweep_degrees":137.75771,"ray_endpoints":[[53.03,350.897],[125.5645,136.8058]],"vertex":[128.25,264.48]},{"angle_degrees":93.524158,"arc_sweep_degrees":93.524158,"ray_endpoints":[[444.7607,222.9359],[394.481,399.6683]],"vertex":[346.75,264.48]}],"canvas_size":[475,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2354","image_path":"images/angle_estimation_2354.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2354_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2354_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2354_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2354_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2354_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2354}
+{"angle_1_degrees":28.322605,"angle_2_degrees":49.61752,"angles":[{"angle_degrees":28.322605,"arc_sweep_degrees":28.322605,"ray_endpoints":[[37.2426,273.2616],[16.9093,221.4546]],"vertex":[126.36,257.07]},{"angle_degrees":49.61752,"arc_sweep_degrees":49.61752,"ray_endpoints":[[444.1571,252.2437],[423.9725,345.1206]],"vertex":[341.64,257.07]}],"canvas_size":[468,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2355","image_path":"images/angle_estimation_2355.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2355_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2355_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2355_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2355_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2355_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2355}
+{"canvas_size":[474,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2356","image_path":"images/angle_estimation_2356.png","interior_angles_degrees":[52.05147,59.567884,68.380646],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2356_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2356_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2356_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2356_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2356_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2356,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,390.11],[419.0,390.11],[262.609,123.89]]}
+{"canvas_size":[500,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2357","image_path":"images/angle_estimation_2357.png","interior_angles_degrees":[49.140836,43.782818,87.076346],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2357_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2357_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2357_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2357_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2357_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2357,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,352.68],[445.0,352.68],[231.7674,148.32]]}
+{"canvas_size":[496,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2358","image_path":"images/angle_estimation_2358.png","interior_angles_degrees":[64.742855,60.299201,54.957944],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2358_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2358_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2358_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2358_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2358_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2358,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,443.1867],[441.0,443.1867],[229.7359,72.8133]]}
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+{"angle_degrees":230.255869,"arc_sweep_degrees":230.255869,"canvas_size":[483,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2363","image_path":"images/angle_estimation_2363.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2363_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2363_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2363_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"50","question_id":"angle_estimation_2363_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2363_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[342.5756,141.329],[127.2998,232.049]],"scene_type":"single","seed":2363,"vertex":[241.5,242.5]}
+{"angle_degrees":100.15416,"arc_sweep_degrees":100.15416,"canvas_size":[468,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2364","image_path":"images/angle_estimation_2364.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2364_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_2364_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2364_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"80","question_id":"angle_estimation_2364_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2364_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[270.5574,128.2917],[366.5984,316.2652]],"scene_type":"single","seed":2364,"vertex":[234.0,248.5]}
+{"angle_degrees":30.000014,"arc_sweep_degrees":30.000014,"canvas_size":[486,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2365","image_path":"images/angle_estimation_2365.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2365_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2365_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2365_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_2365_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2365_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[188.3925,374.3996],[118.9135,344.6523]],"scene_type":"single","seed":2365,"vertex":[243.0,258.5]}
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+{"angle_1_degrees":12.421699,"angle_2_degrees":49.665672,"angles":[{"angle_degrees":12.421699,"arc_sweep_degrees":12.421699,"ray_endpoints":[[98.7287,182.771],[112.1808,148.2034]],"vertex":[127.98,261.63]},{"angle_degrees":49.665672,"arc_sweep_degrees":49.665672,"ray_endpoints":[[267.2388,224.0602],[317.412,153.6463]],"vertex":[346.02,261.63]}],"canvas_size":[474,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2370","image_path":"images/angle_estimation_2370.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2370_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2370_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2370_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2370_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2370_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2370}
+{"angle_1_degrees":54.426625,"angle_2_degrees":33.422464,"angles":[{"angle_degrees":54.426625,"arc_sweep_degrees":54.426625,"ray_endpoints":[[116.4593,191.6238],[205.0726,199.2093]],"vertex":[131.22,274.74]},{"angle_degrees":33.422464,"arc_sweep_degrees":33.422464,"ray_endpoints":[[441.0486,286.1691],[460.011,366.1167]],"vertex":[354.78,274.74]}],"canvas_size":[486,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2371","image_path":"images/angle_estimation_2371.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2371_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2371_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2371_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2371_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2371_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2371}
+{"angle_1_degrees":134.197947,"angle_2_degrees":43.738248,"angles":[{"angle_degrees":134.197947,"arc_sweep_degrees":134.197947,"ray_endpoints":[[88.9413,347.2534],[96.2944,156.3305]],"vertex":[130.14,275.88]},{"angle_degrees":43.738248,"arc_sweep_degrees":43.738248,"ray_endpoints":[[375.1836,186.9958],[462.6715,207.8187]],"vertex":[351.86,275.88]}],"canvas_size":[482,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2372","image_path":"images/angle_estimation_2372.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2372_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2372_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2372_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2372_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2372_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2372}
+{"angle_1_degrees":22.186125,"angle_2_degrees":105.828929,"angles":[{"angle_degrees":22.186125,"arc_sweep_degrees":22.186125,"ray_endpoints":[[112.0714,367.2996],[61.3977,371.5263]],"vertex":[128.25,258.78]},{"angle_degrees":105.828929,"arc_sweep_degrees":105.828929,"ray_endpoints":[[263.3981,241.8464],[401.9728,151.8461]],"vertex":[346.75,258.78]}],"canvas_size":[475,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2373","image_path":"images/angle_estimation_2373.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2373_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2373_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2373_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2373_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2373_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2373}
+{"angle_1_degrees":64.121348,"angle_2_degrees":22.148843,"angles":[{"angle_degrees":64.121348,"arc_sweep_degrees":64.121348,"ray_endpoints":[[145.5824,351.4946],[17.4042,363.924]],"vertex":[127.17,274.17]},{"angle_degrees":22.148843,"arc_sweep_degrees":22.148843,"ray_endpoints":[[404.948,367.1142],[370.7831,410.5533]],"vertex":[343.83,274.17]}],"canvas_size":[471,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2374","image_path":"images/angle_estimation_2374.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2374_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2374_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2374_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2374_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2374_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2374}
+{"angle_1_degrees":33.363232,"angle_2_degrees":136.584949,"angles":[{"angle_degrees":33.363232,"arc_sweep_degrees":33.363232,"ray_endpoints":[[162.0001,364.564],[101.201,398.5439]],"vertex":[125.82,275.31]},{"angle_degrees":136.584949,"arc_sweep_degrees":136.584949,"ray_endpoints":[[282.9024,336.3],[339.6874,142.7826]],"vertex":[340.18,275.31]}],"canvas_size":[466,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2375","image_path":"images/angle_estimation_2375.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2375_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2375_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2375_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2375_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2375_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2375}
+{"canvas_size":[495,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2376","image_path":"images/angle_estimation_2376.png","interior_angles_degrees":[90.30956,35.130816,54.559624],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2376_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2376_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2376_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2376_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2376_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2376,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.4636,395.446],[440.0,395.446],[55.0,124.554]]}
+{"canvas_size":[479,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2377","image_path":"images/angle_estimation_2377.png","interior_angles_degrees":[90.721527,43.031887,46.246587],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2377_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2377_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2377_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2377_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2377_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2377,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[59.3383,422.7411],[424.0,422.7411],[55.0,78.2589]]}
+{"canvas_size":[457,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2378","image_path":"images/angle_estimation_2378.png","interior_angles_degrees":[89.129527,51.368275,39.502198],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2378_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2378_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2378_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2378_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2378_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2378,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[77.8378,435.0],[379.1622,435.0],[83.4595,65.0]]}
+{"canvas_size":[462,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2379","image_path":"images/angle_estimation_2379.png","interior_angles_degrees":[90.376766,44.044821,45.578413],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2379_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2379_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2379_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2379_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2379_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2379,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[57.2388,415.2275],[407.0,415.2275],[55.0,74.7725]]}
+{"canvas_size":[476,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2380","image_path":"images/angle_estimation_2380.png","interior_angles_degrees":[90.419289,34.567776,55.012935],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2380_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2380_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2380_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2380_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2380_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2380,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.8455,390.0914],[421.0,390.0914],[55.0,137.9086]]}
+{"angle_degrees":288.579871,"arc_sweep_degrees":288.579871,"canvas_size":[463,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2381","image_path":"images/angle_estimation_2381.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2381_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_2381_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2381_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"109","question_id":"angle_estimation_2381_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2381_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[361.7346,311.2395],[330.7244,148.2606]],"scene_type":"single","seed":2381,"vertex":[231.5,240.5]}
+{"angle_degrees":226.675962,"arc_sweep_degrees":226.675962,"canvas_size":[481,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2382","image_path":"images/angle_estimation_2382.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2382_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2382_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2382_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"47","question_id":"angle_estimation_2382_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2382_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[112.3913,138.9866],[242.7326,417.5857]],"scene_type":"single","seed":2382,"vertex":[240.5,256.5]}
+{"angle_degrees":10.93375,"arc_sweep_degrees":10.93375,"canvas_size":[476,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2383","image_path":"images/angle_estimation_2383.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2383_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_2383_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2383_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"169","question_id":"angle_estimation_2383_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2383_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[236.2424,373.1666],[213.6786,359.4286]],"scene_type":"single","seed":2383,"vertex":[238.0,242.0]}
+{"angle_degrees":295.167825,"arc_sweep_degrees":295.167825,"canvas_size":[474,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2384","image_path":"images/angle_estimation_2384.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2384_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_2384_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2384_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"115","question_id":"angle_estimation_2384_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2384_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[214.6014,370.9634],[336.5149,312.9305]],"scene_type":"single","seed":2384,"vertex":[237.0,243.0]}
+{"angle_degrees":30.000007,"arc_sweep_degrees":30.000007,"canvas_size":[495,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2385","image_path":"images/angle_estimation_2385.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2385_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2385_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2385_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_2385_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2385_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[245.1185,403.8988],[179.6453,365.3849]],"scene_type":"single","seed":2385,"vertex":[247.5,252.0]}
+{"angle_degrees":119.553426,"arc_sweep_degrees":119.553426,"canvas_size":[488,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2386","image_path":"images/angle_estimation_2386.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2386_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_2386_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2386_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"60","question_id":"angle_estimation_2386_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2386_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[231.8143,87.8159],[367.8569,308.4321]],"scene_type":"single","seed":2386,"vertex":[244.0,250.0]}
+{"angle_degrees":68.258396,"arc_sweep_degrees":68.258396,"canvas_size":[450,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2387","image_path":"images/angle_estimation_2387.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2387_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_2387_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2387_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"112","question_id":"angle_estimation_2387_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2387_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[241.1002,80.2085],[338.193,207.568]],"scene_type":"single","seed":2387,"vertex":[225.0,240.0]}
+{"angle_degrees":342.520422,"arc_sweep_degrees":342.520422,"canvas_size":[460,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2388","image_path":"images/angle_estimation_2388.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2388_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_2388_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2388_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"163","question_id":"angle_estimation_2388_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2388_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[218.2813,399.129],[258.0781,378.9352]],"scene_type":"single","seed":2388,"vertex":[230.0,255.5]}
+{"angle_1_degrees":121.218939,"angle_2_degrees":14.633532,"angles":[{"angle_degrees":121.218939,"arc_sweep_degrees":121.218939,"ray_endpoints":[[51.8203,298.1183],[176.0409,173.3802]],"vertex":[134.73,282.72]},{"angle_degrees":14.633532,"arc_sweep_degrees":14.633532,"ray_endpoints":[[313.0303,381.6856],[290.7615,364.3408]],"vertex":[364.27,282.72]}],"canvas_size":[499,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2389","image_path":"images/angle_estimation_2389.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2389_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2389_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_2389_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2389_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2389_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2389}
+{"angle_1_degrees":25.511496,"angle_2_degrees":53.70283,"angles":[{"angle_degrees":25.511496,"arc_sweep_degrees":25.511496,"ray_endpoints":[[140.6862,367.5747],[83.8068,401.8035]],"vertex":[129.87,269.61]},{"angle_degrees":53.70283,"arc_sweep_degrees":53.70283,"ray_endpoints":[[301.2295,200.3116],[395.4473,132.7756]],"vertex":[351.13,269.61]}],"canvas_size":[481,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2390","image_path":"images/angle_estimation_2390.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2390_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2390_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2390_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2390_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2390_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2390}
+{"angle_1_degrees":88.288874,"angle_2_degrees":98.051212,"angles":[{"angle_degrees":88.288874,"arc_sweep_degrees":88.288874,"ray_endpoints":[[203.9512,265.8918],[120.9829,371.4977]],"vertex":[125.28,260.49]},{"angle_degrees":98.051212,"arc_sweep_degrees":98.051212,"ray_endpoints":[[436.8867,214.0036],[378.513,388.3412]],"vertex":[338.72,260.49]}],"canvas_size":[464,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2391","image_path":"images/angle_estimation_2391.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2391_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2391_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2391_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2391_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2391_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2391}
+{"angle_1_degrees":73.729279,"angle_2_degrees":145.958546,"angles":[{"angle_degrees":73.729279,"arc_sweep_degrees":73.729279,"ray_endpoints":[[35.689,238.8531],[147.1228,163.563]],"vertex":[126.36,283.29]},{"angle_degrees":145.958546,"arc_sweep_degrees":145.958546,"ray_endpoints":[[324.2966,360.9846],[300.5542,178.7624]],"vertex":[341.64,283.29]}],"canvas_size":[468,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2392","image_path":"images/angle_estimation_2392.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2392_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2392_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2392_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2392_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2392_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2392}
+{"angle_1_degrees":63.057568,"angle_2_degrees":29.510062,"angles":[{"angle_degrees":63.057568,"arc_sweep_degrees":63.057568,"ray_endpoints":[[75.6547,187.2692],[178.3772,172.066]],"vertex":[122.04,263.34]},{"angle_degrees":29.510062,"arc_sweep_degrees":29.510062,"ray_endpoints":[[386.139,335.4415],[349.6102,396.1794]],"vertex":[329.96,263.34]}],"canvas_size":[452,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2393","image_path":"images/angle_estimation_2393.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2393_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2393_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2393_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2393_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2393_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2393}
+{"angle_1_degrees":105.711388,"angle_2_degrees":84.441459,"angles":[{"angle_degrees":105.711388,"arc_sweep_degrees":105.711388,"ray_endpoints":[[190.2237,172.8811],[219.5339,370.105]],"vertex":[129.06,268.47]},{"angle_degrees":84.441459,"arc_sweep_degrees":84.441459,"ray_endpoints":[[434.7725,231.6315],[411.1104,381.6179]],"vertex":[348.94,268.47]}],"canvas_size":[478,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2394","image_path":"images/angle_estimation_2394.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2394_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2394_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2394_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2394_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2394_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2394}
+{"angle_1_degrees":114.881461,"angle_2_degrees":96.596745,"angles":[{"angle_degrees":114.881461,"arc_sweep_degrees":114.881461,"ray_endpoints":[[119.2714,362.0082],[35.5542,207.9799]],"vertex":[133.65,274.74]},{"angle_degrees":96.596745,"arc_sweep_degrees":96.596745,"ray_endpoints":[[277.0377,285.417],[360.2002,168.5849]],"vertex":[361.35,274.74]}],"canvas_size":[495,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2395","image_path":"images/angle_estimation_2395.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2395_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2395_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2395_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2395_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2395_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2395}
+{"canvas_size":[483,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2396","image_path":"images/angle_estimation_2396.png","interior_angles_degrees":[127.964121,21.50327,30.532609],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2396_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2396_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2396_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2396_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2396_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2396,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[169.6643,317.9766],[428.0,317.9766],[55.0,171.0234]]}
+{"canvas_size":[454,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2397","image_path":"images/angle_estimation_2397.png","interior_angles_degrees":[121.639172,27.597821,30.763006],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2397_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2397_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2397_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2397_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2397_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2397,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[165.7969,352.4111],[399.0,352.4111],[55.0,172.5889]]}
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+{"canvas_size":[496,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2399","image_path":"images/angle_estimation_2399.png","interior_angles_degrees":[126.599093,25.463233,27.937674],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2399_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2399_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2399_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2399_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2399_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2399,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[191.5038,341.9043],[441.0,341.9043],[55.0,158.0957]]}
+{"canvas_size":[454,455],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2400","image_path":"images/angle_estimation_2400.png","interior_angles_degrees":[99.895535,41.42947,38.674995],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2400_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2400_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2400_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2400_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2400_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2400,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[107.9608,394.2957],[399.0,394.2957],[55.0,90.7043]]}
+{"angle_degrees":312.261599,"arc_sweep_degrees":312.261599,"canvas_size":[453,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2401","image_path":"images/angle_estimation_2401.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2401_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_2401_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2401_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"132","question_id":"angle_estimation_2401_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2401_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[204.9087,126.46],[117.6309,189.4995]],"scene_type":"single","seed":2401,"vertex":[226.5,260.5]}
+{"angle_degrees":103.169887,"arc_sweep_degrees":103.169887,"canvas_size":[493,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2402","image_path":"images/angle_estimation_2402.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2402_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_2402_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2402_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"77","question_id":"angle_estimation_2402_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2402_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[192.573,370.2736],[137.6695,161.3643]],"scene_type":"single","seed":2402,"vertex":[246.5,239.0]}
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+{"angle_degrees":219.454493,"arc_sweep_degrees":219.454493,"canvas_size":[477,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2404","image_path":"images/angle_estimation_2404.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2404_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2404_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2404_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"39","question_id":"angle_estimation_2404_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2404_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[401.7167,262.7663],[159.1112,187.749]],"scene_type":"single","seed":2404,"vertex":[238.5,257.5]}
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+{"angle_degrees":120.780793,"arc_sweep_degrees":120.780793,"canvas_size":[474,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2408","image_path":"images/angle_estimation_2408.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2408_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_2408_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2408_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"59","question_id":"angle_estimation_2408_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2408_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[349.9144,302.2943],[115.6442,304.7678]],"scene_type":"single","seed":2408,"vertex":[237.0,237.0]}
+{"angle_1_degrees":31.088392,"angle_2_degrees":49.701592,"angles":[{"angle_degrees":31.088392,"arc_sweep_degrees":31.088392,"ray_endpoints":[[57.2408,206.8468],[96.7518,142.7776]],"vertex":[128.25,280.44]},{"angle_degrees":49.701592,"arc_sweep_degrees":49.701592,"ray_endpoints":[[451.9822,304.1282],[412.6232,406.3777]],"vertex":[346.75,280.44]}],"canvas_size":[475,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2409","image_path":"images/angle_estimation_2409.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2409_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2409_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2409_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2409_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2409_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2409}
+{"angle_1_degrees":14.98828,"angle_2_degrees":161.562574,"angles":[{"angle_degrees":14.98828,"arc_sweep_degrees":14.98828,"ray_endpoints":[[61.8362,359.0513],[16.9797,360.6158]],"vertex":[123.12,281.01]},{"angle_degrees":161.562574,"arc_sweep_degrees":161.562574,"ray_endpoints":[[348.4351,373.192],[266.0477,155.3986]],"vertex":[332.88,281.01]}],"canvas_size":[456,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2410","image_path":"images/angle_estimation_2410.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2410_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2410_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"150","question_id":"angle_estimation_2410_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2410_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2410_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2410}
+{"angle_1_degrees":46.741937,"angle_2_degrees":92.240634,"angles":[{"angle_degrees":46.741937,"arc_sweep_degrees":46.741937,"ray_endpoints":[[63.7008,228.1284],[110.3109,132.4935]],"vertex":[123.12,274.74]},{"angle_degrees":92.240634,"arc_sweep_degrees":92.240634,"ray_endpoints":[[412.2447,354.1589],[246.6941,354.381]],"vertex":[332.88,274.74]}],"canvas_size":[456,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2411","image_path":"images/angle_estimation_2411.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2411_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2411_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2411_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2411_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2411_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2411}
+{"angle_1_degrees":13.97456,"angle_2_degrees":79.925056,"angles":[{"angle_degrees":13.97456,"arc_sweep_degrees":13.97456,"ray_endpoints":[[164.1143,193.0493],[215.7555,162.6823]],"vertex":[127.17,273.6]},{"angle_degrees":79.925056,"arc_sweep_degrees":79.925056,"ray_endpoints":[[419.9613,269.7808],[368.2556,379.8486]],"vertex":[343.83,273.6]}],"canvas_size":[471,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2412","image_path":"images/angle_estimation_2412.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2412_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2412_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2412_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2412_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2412_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2412}
+{"angle_1_degrees":81.879408,"angle_2_degrees":99.605644,"angles":[{"angle_degrees":81.879408,"arc_sweep_degrees":81.879408,"ray_endpoints":[[197.9168,241.0033],[202.0316,376.117]],"vertex":[128.79,279.3]},{"angle_degrees":99.605644,"arc_sweep_degrees":99.605644,"ray_endpoints":[[288.4947,376.8684],[261.7934,203.9837]],"vertex":[348.21,279.3]}],"canvas_size":[477,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2413","image_path":"images/angle_estimation_2413.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2413_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2413_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2413_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2413_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2413_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2413}
+{"angle_1_degrees":90.17634,"angle_2_degrees":59.649161,"angles":[{"angle_degrees":90.17634,"arc_sweep_degrees":90.17634,"ray_endpoints":[[202.9521,348.4311],[43.6863,362.7373]],"vertex":[124.2,275.88]},{"angle_degrees":59.649161,"arc_sweep_degrees":59.649161,"ray_endpoints":[[255.8998,210.5814],[353.4985,162.9454]],"vertex":[335.8,275.88]}],"canvas_size":[460,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2414","image_path":"images/angle_estimation_2414.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2414_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2414_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2414_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2414_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2414_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2414}
+{"angle_1_degrees":12.101905,"angle_2_degrees":69.945123,"angles":[{"angle_degrees":12.101905,"arc_sweep_degrees":12.101905,"ray_endpoints":[[45.5163,252.7722],[17.9056,223.5905]],"vertex":[130.68,264.48]},{"angle_degrees":69.945123,"arc_sweep_degrees":69.945123,"ray_endpoints":[[275.965,235.3449],[354.7624,122.8697]],"vertex":[353.32,264.48]}],"canvas_size":[484,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2415","image_path":"images/angle_estimation_2415.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2415_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2415_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2415_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2415_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2415_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2415}
+{"canvas_size":[490,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2416","image_path":"images/angle_estimation_2416.png","interior_angles_degrees":[51.376834,42.368445,86.254721],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2416_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2416_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2416_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2416_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2416_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2416,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,350.2478],[435.0,350.2478],[215.1863,149.7522]]}
+{"canvas_size":[482,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2417","image_path":"images/angle_estimation_2417.png","interior_angles_degrees":[58.299657,65.821614,55.878729],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2417_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2417_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2417_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2417_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2417_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2417,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,414.8883],[427.0,414.8883],[270.4117,66.1117]]}
+{"canvas_size":[500,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2418","image_path":"images/angle_estimation_2418.png","interior_angles_degrees":[74.563026,43.271269,62.165705],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2418_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2418_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2418_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2418_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2418_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2418,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,404.6984],[445.0,404.6984],[135.4664,113.3016]]}
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+{"canvas_size":[471,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2420","image_path":"images/angle_estimation_2420.png","interior_angles_degrees":[63.992172,43.95492,72.052908],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2420_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2420_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2420_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2420_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2420_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2420,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,379.8557],[416.0,379.8557],[170.4919,143.1443]]}
+{"angle_degrees":62.398601,"arc_sweep_degrees":62.398601,"canvas_size":[451,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2421","image_path":"images/angle_estimation_2421.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2421_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_2421_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2421_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"118","question_id":"angle_estimation_2421_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2421_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[233.2847,411.3999],[84.9843,321.7883]],"scene_type":"single","seed":2421,"vertex":[225.5,240.0]}
+{"angle_degrees":17.786188,"arc_sweep_degrees":17.786188,"canvas_size":[481,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2422","image_path":"images/angle_estimation_2422.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2422_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_2422_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2422_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"162","question_id":"angle_estimation_2422_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2422_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[354.8021,144.983],[376.8671,187.9069]],"scene_type":"single","seed":2422,"vertex":[240.5,254.0]}
+{"angle_degrees":316.586199,"arc_sweep_degrees":316.586199,"canvas_size":[496,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2423","image_path":"images/angle_estimation_2423.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2423_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_2423_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2423_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"137","question_id":"angle_estimation_2423_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2423_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[322.5579,386.9913],[382.1344,290.3118]],"scene_type":"single","seed":2423,"vertex":[248.0,244.0]}
+{"angle_degrees":10.386944,"arc_sweep_degrees":10.386944,"canvas_size":[468,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2424","image_path":"images/angle_estimation_2424.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2424_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_2424_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2424_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"170","question_id":"angle_estimation_2424_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2424_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[73.3408,289.6114],[78.5741,259.6516]],"scene_type":"single","seed":2424,"vertex":[234.0,253.0]}
+{"angle_degrees":59.999987,"arc_sweep_degrees":59.999987,"canvas_size":[467,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2425","image_path":"images/angle_estimation_2425.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2425_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_2425_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2425_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_2425_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2425_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[114.8057,303.2061],[126.4731,169.8315]],"scene_type":"single","seed":2425,"vertex":[233.5,261.0]}
+{"angle_degrees":347.974211,"arc_sweep_degrees":347.974211,"canvas_size":[484,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2426","image_path":"images/angle_estimation_2426.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2426_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_2426_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2426_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"168","question_id":"angle_estimation_2426_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2426_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[224.002,133.3449],[188.8996,113.9994]],"scene_type":"single","seed":2426,"vertex":[242.0,258.0]}
+{"angle_degrees":341.095928,"arc_sweep_degrees":341.095928,"canvas_size":[492,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2427","image_path":"images/angle_estimation_2427.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2427_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_2427_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2427_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"161","question_id":"angle_estimation_2427_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2427_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[254.7713,413.5735],[294.7691,378.3553]],"scene_type":"single","seed":2427,"vertex":[246.0,258.5]}
+{"angle_degrees":227.481224,"arc_sweep_degrees":227.481224,"canvas_size":[470,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2428","image_path":"images/angle_estimation_2428.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2428_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2428_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2428_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"47","question_id":"angle_estimation_2428_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2428_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[315.8163,391.4941],[277.9933,107.6432]],"scene_type":"single","seed":2428,"vertex":[235.0,261.5]}
+{"angle_1_degrees":43.63509,"angle_2_degrees":128.587133,"angles":[{"angle_degrees":43.63509,"arc_sweep_degrees":43.63509,"ray_endpoints":[[63.9954,219.189],[126.2258,161.3334]],"vertex":[127.44,284.43]},{"angle_degrees":128.587133,"arc_sweep_degrees":128.587133,"ray_endpoints":[[418.7723,269.7077],[282.721,403.9008]],"vertex":[344.56,284.43]}],"canvas_size":[472,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2429","image_path":"images/angle_estimation_2429.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2429_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2429_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2429_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2429_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2429_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2429}
+{"angle_1_degrees":50.62532,"angle_2_degrees":15.857995,"angles":[{"angle_degrees":50.62532,"arc_sweep_degrees":50.62532,"ray_endpoints":[[204.9367,285.0511],[206.6826,392.365]],"vertex":[123.39,281.58]},{"angle_degrees":15.857995,"arc_sweep_degrees":15.857995,"ray_endpoints":[[301.5691,187.0266],[327.1505,152.3608]],"vertex":[333.61,281.58]}],"canvas_size":[457,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2430","image_path":"images/angle_estimation_2430.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2430_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2430_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2430_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2430_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2430_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2430}
+{"angle_1_degrees":41.957868,"angle_2_degrees":56.416918,"angles":[{"angle_degrees":41.957868,"arc_sweep_degrees":41.957868,"ray_endpoints":[[109.9095,368.5174],[22.3892,350.3858]],"vertex":[127.98,268.47]},{"angle_degrees":56.416918,"arc_sweep_degrees":56.416918,"ray_endpoints":[[404.2489,354.6386],[299.3989,381.7617]],"vertex":[346.02,268.47]}],"canvas_size":[474,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2431","image_path":"images/angle_estimation_2431.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2431_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2431_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2431_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2431_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2431_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2431}
+{"angle_1_degrees":137.420835,"angle_2_degrees":52.800473,"angles":[{"angle_degrees":137.420835,"arc_sweep_degrees":137.420835,"ray_endpoints":[[153.5577,352.2561],[36.1929,205.0221]],"vertex":[132.57,268.47]},{"angle_degrees":52.800473,"arc_sweep_degrees":52.800473,"ray_endpoints":[[276.3734,205.6493],[358.9781,136.1521]],"vertex":[358.43,268.47]}],"canvas_size":[491,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2432","image_path":"images/angle_estimation_2432.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2432_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2432_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2432_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2432_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2432_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2432}
+{"angle_1_degrees":77.053627,"angle_2_degrees":34.133666,"angles":[{"angle_degrees":77.053627,"arc_sweep_degrees":77.053627,"ray_endpoints":[[89.312,367.4402],[19.0437,245.8122]],"vertex":[133.11,267.33]},{"angle_degrees":34.133666,"arc_sweep_degrees":34.133666,"ray_endpoints":[[320.6718,168.9779],[388.5708,136.8157]],"vertex":[359.89,267.33]}],"canvas_size":[493,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2433","image_path":"images/angle_estimation_2433.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2433_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2433_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2433_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2433_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2433_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2433}
+{"angle_1_degrees":10.159424,"angle_2_degrees":80.840551,"angles":[{"angle_degrees":10.159424,"arc_sweep_degrees":10.159424,"ray_endpoints":[[80.7395,369.357],[53.2792,374.8541]],"vertex":[127.98,273.6]},{"angle_degrees":80.840551,"arc_sweep_degrees":80.840551,"ray_endpoints":[[272.8564,334.2737],[258.3106,196.8918]],"vertex":[346.02,273.6]}],"canvas_size":[474,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2434","image_path":"images/angle_estimation_2434.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2434_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2434_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2434_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2434_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2434_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2434}
+{"angle_1_degrees":62.241163,"angle_2_degrees":128.677968,"angles":[{"angle_degrees":62.241163,"arc_sweep_degrees":62.241163,"ray_endpoints":[[189.7105,364.8357],[57.0505,383.7357]],"vertex":[132.84,265.05]},{"angle_degrees":128.677968,"arc_sweep_degrees":128.677968,"ray_endpoints":[[281.0282,263.9165],[448.6852,156.4825]],"vertex":[359.16,265.05]}],"canvas_size":[492,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2435","image_path":"images/angle_estimation_2435.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2435_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2435_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2435_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2435_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2435_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2435}
+{"canvas_size":[500,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2436","image_path":"images/angle_estimation_2436.png","interior_angles_degrees":[90.442949,46.034645,43.522406],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2436_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2436_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2436_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2436_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2436_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2436,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[82.0166,419.0],[420.7202,419.0],[79.2798,65.0]]}
+{"canvas_size":[482,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2437","image_path":"images/angle_estimation_2437.png","interior_angles_degrees":[89.626824,44.683902,45.689274],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2437_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2437_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2437_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2437_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2437_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2437,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,444.2815],[427.0,444.2815],[57.381,78.7185]]}
+{"canvas_size":[479,463],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2438","image_path":"images/angle_estimation_2438.png","interior_angles_degrees":[89.930291,24.69203,65.377679],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2438_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2438_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2438_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2438_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2438_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2438,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,331.282],[424.0,331.282],[55.2063,161.718]]}
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+{"angle_degrees":179.999994,"arc_sweep_degrees":179.999994,"canvas_size":[479,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2445","image_path":"images/angle_estimation_2445.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2445_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_2445_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2445_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_2445_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2445_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[102.4393,340.2524],[366.1704,175.2483]],"scene_type":"single","seed":2445,"vertex":[239.5,254.5]}
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+{"angle_1_degrees":22.046028,"angle_2_degrees":58.253419,"angles":[{"angle_degrees":22.046028,"arc_sweep_degrees":22.046028,"ray_endpoints":[[190.019,351.2345],[170.9222,404.5258]],"vertex":[129.87,280.44]},{"angle_degrees":58.253419,"arc_sweep_degrees":58.253419,"ray_endpoints":[[266.7729,209.8966],[369.8975,149.5128]],"vertex":[351.13,280.44]}],"canvas_size":[481,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2450","image_path":"images/angle_estimation_2450.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2450_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2450_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2450_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2450_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2450_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2450}
+{"angle_1_degrees":13.662043,"angle_2_degrees":155.165584,"angles":[{"angle_degrees":13.662043,"arc_sweep_degrees":13.662043,"ray_endpoints":[[56.9198,219.1308],[42.9156,161.7074]],"vertex":[125.55,279.3]},{"angle_degrees":155.165584,"arc_sweep_degrees":155.165584,"ray_endpoints":[[254.8127,231.5313],[446.3996,287.9156]],"vertex":[339.45,279.3]}],"canvas_size":[465,490],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2451","image_path":"images/angle_estimation_2451.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2451_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2451_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_2451_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2451_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2451_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2451}
+{"angle_1_degrees":119.520175,"angle_2_degrees":16.293565,"angles":[{"angle_degrees":119.520175,"arc_sweep_degrees":119.520175,"ray_endpoints":[[67.5735,335.4978],[73.0882,142.6673]],"vertex":[124.74,257.64]},{"angle_degrees":16.293565,"arc_sweep_degrees":16.293565,"ray_endpoints":[[383.7435,185.3207],[424.2744,182.0651]],"vertex":[337.26,257.64]}],"canvas_size":[462,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2452","image_path":"images/angle_estimation_2452.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2452_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2452_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2452_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2452_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2452_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2452}
+{"angle_1_degrees":61.794834,"angle_2_degrees":21.354777,"angles":[{"angle_degrees":61.794834,"arc_sweep_degrees":61.794834,"ray_endpoints":[[79.6631,334.0607],[20.7662,251.8962]],"vertex":[129.6,276.45]},{"angle_degrees":21.354777,"arc_sweep_degrees":21.354777,"ray_endpoints":[[400.55,377.3486],[362.9977,418.3275]],"vertex":[350.4,276.45]}],"canvas_size":[480,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2453","image_path":"images/angle_estimation_2453.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2453_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2453_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2453_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2453_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2453_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2453}
+{"angle_1_degrees":142.682389,"angle_2_degrees":35.628089,"angles":[{"angle_degrees":142.682389,"arc_sweep_degrees":142.682389,"ray_endpoints":[[212.3107,237.0438],[49.6895,373.0352]],"vertex":[125.01,265.05]},{"angle_degrees":35.628089,"arc_sweep_degrees":35.628089,"ray_endpoints":[[286.8631,189.3337],[341.9871,121.8778]],"vertex":[337.99,265.05]}],"canvas_size":[463,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2454","image_path":"images/angle_estimation_2454.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2454_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2454_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_2454_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2454_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2454_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2454}
+{"angle_1_degrees":28.106163,"angle_2_degrees":125.249209,"angles":[{"angle_degrees":28.106163,"arc_sweep_degrees":28.106163,"ray_endpoints":[[141.9585,166.1385],[208.8885,150.3911]],"vertex":[129.6,261.63]},{"angle_degrees":125.249209,"arc_sweep_degrees":125.249209,"ray_endpoints":[[426.131,232.8558],[317.6086,388.9309]],"vertex":[350.4,261.63]}],"canvas_size":[480,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2455","image_path":"images/angle_estimation_2455.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2455_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2455_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2455_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2455_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2455_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2455}
+{"canvas_size":[486,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2456","image_path":"images/angle_estimation_2456.png","interior_angles_degrees":[128.291047,28.503231,23.205722],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2456_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2456_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2456_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2456_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2456_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2456,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[216.1989,343.5894],[431.0,343.5894],[55.0,139.4106]]}
+{"canvas_size":[452,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2457","image_path":"images/angle_estimation_2457.png","interior_angles_degrees":[123.30755,19.687328,37.005121],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2457_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2457_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2457_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2457_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2457_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2457,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[135.4041,302.6842],[397.0,302.6842],[55.0,180.3158]]}
+{"canvas_size":[490,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2458","image_path":"images/angle_estimation_2458.png","interior_angles_degrees":[136.364032,18.782655,24.853313],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2458_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2458_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2458_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2458_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2458_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2458,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[190.5388,310.1171],[435.0,310.1171],[55.0,180.8829]]}
+{"canvas_size":[472,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2459","image_path":"images/angle_estimation_2459.png","interior_angles_degrees":[103.508284,39.54325,36.948467],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2459_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2459_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2459_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2459_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2459_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2459,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[126.7978,394.9345],[417.0,394.9345],[55.0,96.0655]]}
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+{"angle_degrees":246.19092,"arc_sweep_degrees":246.19092,"canvas_size":[452,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2461","image_path":"images/angle_estimation_2461.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2461_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_2461_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2461_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"66","question_id":"angle_estimation_2461_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2461_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[273.7399,98.0869],[113.4899,258.8924]],"scene_type":"single","seed":2461,"vertex":[226.0,247.0]}
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+{"angle_degrees":51.465825,"arc_sweep_degrees":51.465825,"canvas_size":[457,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2463","image_path":"images/angle_estimation_2463.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2463_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_2463_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2463_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"129","question_id":"angle_estimation_2463_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2463_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[368.6701,293.5166],[270.1403,360.3256]],"scene_type":"single","seed":2463,"vertex":[228.5,247.0]}
+{"angle_degrees":247.713196,"arc_sweep_degrees":247.713196,"canvas_size":[486,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2464","image_path":"images/angle_estimation_2464.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2464_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_2464_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2464_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"68","question_id":"angle_estimation_2464_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2464_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[289.0739,409.5975],[326.3283,185.903]],"scene_type":"single","seed":2464,"vertex":[243.0,252.5]}
+{"angle_degrees":30.000002,"arc_sweep_degrees":30.000002,"canvas_size":[483,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2465","image_path":"images/angle_estimation_2465.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2465_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2465_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2465_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_2465_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2465_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[91.9975,275.2795],[106.1293,199.638]],"scene_type":"single","seed":2465,"vertex":[241.5,251.5]}
+{"angle_degrees":123.501912,"arc_sweep_degrees":123.501912,"canvas_size":[471,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2466","image_path":"images/angle_estimation_2466.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2466_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_2466_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2466_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"56","question_id":"angle_estimation_2466_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2466_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[286.4975,399.135],[86.6751,208.5232]],"scene_type":"single","seed":2466,"vertex":[235.5,248.0]}
+{"angle_degrees":18.686493,"arc_sweep_degrees":18.686493,"canvas_size":[462,455],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2467","image_path":"images/angle_estimation_2467.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2467_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_2467_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2467_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"161","question_id":"angle_estimation_2467_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2467_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[74.4717,303.5914],[102.5076,247.54]],"scene_type":"single","seed":2467,"vertex":[231.0,239.5]}
+{"angle_degrees":171.679752,"arc_sweep_degrees":171.679752,"canvas_size":[467,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2468","image_path":"images/angle_estimation_2468.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2468_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_2468_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2468_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"8","question_id":"angle_estimation_2468_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2468_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[269.4479,396.9652],[188.4986,157.1792]],"scene_type":"single","seed":2468,"vertex":[233.5,262.0]}
+{"angle_1_degrees":29.784333,"angle_2_degrees":69.632375,"angles":[{"angle_degrees":29.784333,"arc_sweep_degrees":29.784333,"ray_endpoints":[[83.0934,351.7171],[18.2459,337.5346]],"vertex":[125.82,265.05]},{"angle_degrees":69.632375,"arc_sweep_degrees":69.632375,"ray_endpoints":[[417.8727,281.7564],[356.7547,379.6171]],"vertex":[340.18,265.05]}],"canvas_size":[466,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2469","image_path":"images/angle_estimation_2469.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2469_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2469_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2469_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2469_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2469_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2469}
+{"angle_1_degrees":108.14976,"angle_2_degrees":77.923176,"angles":[{"angle_degrees":108.14976,"arc_sweep_degrees":108.14976,"ray_endpoints":[[46.0735,299.5326],[109.3628,120.5264]],"vertex":[125.82,262.77]},{"angle_degrees":77.923176,"arc_sweep_degrees":77.923176,"ray_endpoints":[[272.4977,186.9983],[406.6631,171.7681]],"vertex":[340.18,262.77]}],"canvas_size":[466,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2470","image_path":"images/angle_estimation_2470.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2470_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2470_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2470_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2470_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2470_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2470}
+{"angle_1_degrees":169.880375,"angle_2_degrees":78.183006,"angles":[{"angle_degrees":169.880375,"arc_sweep_degrees":169.880375,"ray_endpoints":[[202.409,242.7252],[36.4817,354.5837]],"vertex":[128.52,282.15]},{"angle_degrees":78.183006,"arc_sweep_degrees":78.183006,"ray_endpoints":[[427.115,273.9789],[382.0211,390.542]],"vertex":[347.48,282.15]}],"canvas_size":[476,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2471","image_path":"images/angle_estimation_2471.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2471_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2471_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2471_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2471_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2471_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2471}
+{"angle_1_degrees":91.119127,"angle_2_degrees":11.406183,"angles":[{"angle_degrees":91.119127,"arc_sweep_degrees":91.119127,"ray_endpoints":[[168.7026,357.836],[25.7975,330.5127]],"vertex":[128.25,279.87]},{"angle_degrees":11.406183,"arc_sweep_degrees":11.406183,"ray_endpoints":[[421.7801,333.1491],[436.2957,375.176]],"vertex":[346.75,279.87]}],"canvas_size":[475,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2472","image_path":"images/angle_estimation_2472.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2472_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2472_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2472_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2472_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2472_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2472}
+{"angle_1_degrees":64.646692,"angle_2_degrees":111.531631,"angles":[{"angle_degrees":64.646692,"arc_sweep_degrees":64.646692,"ray_endpoints":[[110.6081,165.3411],[222.6635,197.6446]],"vertex":[127.71,264.48]},{"angle_degrees":111.531631,"arc_sweep_degrees":111.531631,"ray_endpoints":[[407.3069,169.4381],[423.139,374.2551]],"vertex":[345.29,264.48]}],"canvas_size":[473,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2473","image_path":"images/angle_estimation_2473.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2473_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2473_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2473_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2473_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2473_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2473}
+{"angle_1_degrees":145.503909,"angle_2_degrees":130.799792,"angles":[{"angle_degrees":145.503909,"arc_sweep_degrees":145.503909,"ray_endpoints":[[150.8577,194.4801],[174.5412,405.4035]],"vertex":[128.79,283.86]},{"angle_degrees":130.799792,"arc_sweep_degrees":130.799792,"ray_endpoints":[[428.7478,265.874],[284.0738,403.4191]],"vertex":[348.21,283.86]}],"canvas_size":[477,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2474","image_path":"images/angle_estimation_2474.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2474_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2474_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2474_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2474_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2474_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2474}
+{"angle_1_degrees":17.626693,"angle_2_degrees":79.264616,"angles":[{"angle_degrees":17.626693,"arc_sweep_degrees":17.626693,"ray_endpoints":[[117.2914,149.5508],[154.5272,144.7396]],"vertex":[122.04,263.91]},{"angle_degrees":79.264616,"arc_sweep_degrees":79.264616,"ray_endpoints":[[267.7826,171.3055],[418.6845,176.3731]],"vertex":[329.96,263.91]}],"canvas_size":[452,463],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2475","image_path":"images/angle_estimation_2475.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2475_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2475_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2475_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2475_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2475_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2475}
+{"canvas_size":[500,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2476","image_path":"images/angle_estimation_2476.png","interior_angles_degrees":[68.272963,50.531338,61.195699],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2476_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2476_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2476_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2476_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2476_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2476,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,405.5858],[445.0,405.5858],[182.1883,86.4142]]}
+{"canvas_size":[464,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2477","image_path":"images/angle_estimation_2477.png","interior_angles_degrees":[69.22493,59.699994,51.075075],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2477_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2477_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2477_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2477_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2477_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2477,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,437.1634],[409.0,437.1634],[194.3515,69.8366]]}
+{"canvas_size":[495,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2478","image_path":"images/angle_estimation_2478.png","interior_angles_degrees":[53.752773,62.94821,63.299017],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2478_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2478_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2478_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2478_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2478_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2478,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,400.7651],[440.0,400.7651],[281.9339,91.2349]]}
+{"canvas_size":[475,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2479","image_path":"images/angle_estimation_2479.png","interior_angles_degrees":[63.213065,55.873697,60.913238],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2479_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2479_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2479_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2479_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2479_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2479,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,401.8248],[420.0,401.8248],[210.8218,93.1752]]}
+{"canvas_size":[490,455],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2480","image_path":"images/angle_estimation_2480.png","interior_angles_degrees":[66.229401,73.380466,40.390133],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2480_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2480_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2480_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2480_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2480_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2480,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[113.841,420.0],[376.159,420.0],[270.1971,65.0]]}
+{"angle_degrees":261.631762,"arc_sweep_degrees":261.631762,"canvas_size":[457,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2481","image_path":"images/angle_estimation_2481.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2481_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_2481_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2481_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"82","question_id":"angle_estimation_2481_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2481_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[74.2533,263.2159],[249.0808,361.4205]],"scene_type":"single","seed":2481,"vertex":[228.5,256.0]}
+{"angle_degrees":306.159602,"arc_sweep_degrees":306.159602,"canvas_size":[462,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2482","image_path":"images/angle_estimation_2482.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2482_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_2482_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2482_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"126","question_id":"angle_estimation_2482_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2482_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[76.5298,326.069],[211.3128,358.8608]],"scene_type":"single","seed":2482,"vertex":[231.0,251.5]}
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+{"angle_1_degrees":134.515881,"angle_2_degrees":18.851942,"angles":[{"angle_degrees":134.515881,"arc_sweep_degrees":134.515881,"ray_endpoints":[[177.0368,193.7005],[151.4296,379.4445]],"vertex":[126.36,274.74]},{"angle_degrees":18.851942,"arc_sweep_degrees":18.851942,"ray_endpoints":[[416.329,292.5802],[440.3352,337.0985]],"vertex":[341.64,274.74]}],"canvas_size":[468,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2490","image_path":"images/angle_estimation_2490.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2490_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2490_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_2490_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2490_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2490_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2490}
+{"angle_1_degrees":13.353995,"angle_2_degrees":69.002828,"angles":[{"angle_degrees":13.353995,"arc_sweep_degrees":13.353995,"ray_endpoints":[[43.3226,330.7529],[25.8476,310.0941]],"vertex":[132.84,262.77]},{"angle_degrees":69.002828,"arc_sweep_degrees":69.002828,"ray_endpoints":[[314.1056,165.8791],[434.044,185.3994]],"vertex":[359.16,262.77]}],"canvas_size":[492,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2491","image_path":"images/angle_estimation_2491.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2491_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2491_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2491_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2491_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2491_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2491}
+{"angle_1_degrees":23.882169,"angle_2_degrees":148.446916,"angles":[{"angle_degrees":23.882169,"arc_sweep_degrees":23.882169,"ray_endpoints":[[209.166,303.1077],[195.6973,345.4631]],"vertex":[129.06,260.49]},{"angle_degrees":148.446916,"arc_sweep_degrees":148.446916,"ray_endpoints":[[384.5611,346.5602],[263.8237,198.7307]],"vertex":[348.94,260.49]}],"canvas_size":[478,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2492","image_path":"images/angle_estimation_2492.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2492_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2492_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_2492_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2492_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2492_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2492}
+{"angle_1_degrees":20.210877,"angle_2_degrees":38.722764,"angles":[{"angle_degrees":20.210877,"arc_sweep_degrees":20.210877,"ray_endpoints":[[79.2882,185.6632],[110.8398,144.0239]],"vertex":[124.2,278.16]},{"angle_degrees":38.722764,"arc_sweep_degrees":38.722764,"ray_endpoints":[[328.4605,186.0269],[402.6734,179.6408]],"vertex":[335.8,278.16]}],"canvas_size":[460,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2493","image_path":"images/angle_estimation_2493.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2493_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2493_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2493_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2493_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2493_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2493}
+{"angle_1_degrees":69.292326,"angle_2_degrees":19.952402,"angles":[{"angle_degrees":69.292326,"arc_sweep_degrees":69.292326,"ray_endpoints":[[229.2119,315.2967],[116.8005,380.4406]],"vertex":[133.38,262.77]},{"angle_degrees":19.952402,"arc_sweep_degrees":19.952402,"ray_endpoints":[[331.8141,369.5899],[294.9019,356.4711]],"vertex":[360.62,262.77]}],"canvas_size":[494,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2494","image_path":"images/angle_estimation_2494.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2494_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2494_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2494_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2494_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2494_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2494}
+{"angle_1_degrees":105.377596,"angle_2_degrees":65.35971,"angles":[{"angle_degrees":105.377596,"arc_sweep_degrees":105.377596,"ray_endpoints":[[42.3164,234.0459],[211.0863,188.6302]],"vertex":[122.85,278.73]},{"angle_degrees":65.35971,"arc_sweep_degrees":65.35971,"ray_endpoints":[[282.5659,177.5206],[421.4924,169.4144]],"vertex":[332.15,278.73]}],"canvas_size":[455,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2495","image_path":"images/angle_estimation_2495.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2495_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2495_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2495_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2495_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2495_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2495}
+{"canvas_size":[456,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2496","image_path":"images/angle_estimation_2496.png","interior_angles_degrees":[89.577051,51.035176,39.387773],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2496_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2496_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2496_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2496_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2496_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2496,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[76.1961,437.0],[379.8039,437.0],[78.9422,65.0]]}
+{"canvas_size":[478,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2497","image_path":"images/angle_estimation_2497.png","interior_angles_degrees":[89.941564,43.141874,46.916562],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2497_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2497_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2497_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2497_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2497_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2497,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,416.2719],[423.0,416.2719],[55.3514,71.7281]]}
+{"canvas_size":[461,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2498","image_path":"images/angle_estimation_2498.png","interior_angles_degrees":[90.834006,53.942231,35.223763],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2498_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2498_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2498_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2498_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2498_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2498,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[91.7545,462.0],[375.0247,462.0],[85.9753,65.0]]}
+{"canvas_size":[498,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2499","image_path":"images/angle_estimation_2499.png","interior_angles_degrees":[90.953655,44.165575,44.88077],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2499_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2499_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2499_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2499_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2499_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2499,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[61.2732,448.9301],[443.0,448.9301],[55.0,72.0699]]}
+{"canvas_size":[450,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2500","image_path":"images/angle_estimation_2500.png","interior_angles_degrees":[90.098185,32.724323,57.177492],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2500_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2500_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2500_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2500_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2500_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2500,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.3744,356.74],[395.0,356.74],[55.0,138.26]]}
+{"angle_degrees":50.542322,"arc_sweep_degrees":50.542322,"canvas_size":[461,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2501","image_path":"images/angle_estimation_2501.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2501_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_2501_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2501_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"129","question_id":"angle_estimation_2501_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2501_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[252.4959,371.2059],[160.0636,329.471]],"scene_type":"single","seed":2501,"vertex":[230.5,247.0]}
+{"angle_degrees":221.66671,"arc_sweep_degrees":221.66671,"canvas_size":[459,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2502","image_path":"images/angle_estimation_2502.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2502_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2502_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2502_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"42","question_id":"angle_estimation_2502_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2502_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[75.1556,203.2631],[287.2305,364.2009]],"scene_type":"single","seed":2502,"vertex":[229.5,258.5]}
+{"angle_degrees":348.370127,"arc_sweep_degrees":348.370127,"canvas_size":[470,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2503","image_path":"images/angle_estimation_2503.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2503_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_2503_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2503_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"168","question_id":"angle_estimation_2503_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2503_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[177.2816,132.1791],[164.3424,159.9811]],"scene_type":"single","seed":2503,"vertex":[235.0,253.5]}
+{"angle_degrees":289.609925,"arc_sweep_degrees":289.609925,"canvas_size":[457,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2504","image_path":"images/angle_estimation_2504.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2504_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_2504_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2504_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"110","question_id":"angle_estimation_2504_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2504_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[359.5131,318.5365],[317.9758,166.3748]],"scene_type":"single","seed":2504,"vertex":[228.5,240.0]}
+{"angle_degrees":120.000024,"arc_sweep_degrees":120.000024,"canvas_size":[469,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2505","image_path":"images/angle_estimation_2505.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2505_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_2505_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2505_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"60","question_id":"angle_estimation_2505_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2505_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[388.5794,214.1423],[193.0124,396.9889]],"scene_type":"single","seed":2505,"vertex":[234.5,252.5]}
+{"angle_degrees":128.992195,"arc_sweep_degrees":128.992195,"canvas_size":[498,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2506","image_path":"images/angle_estimation_2506.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2506_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2506_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2506_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"51","question_id":"angle_estimation_2506_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2506_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[218.4526,107.7353],[343.2917,298.9521]],"scene_type":"single","seed":2506,"vertex":[249.0,251.0]}
+{"angle_degrees":146.825798,"arc_sweep_degrees":146.825798,"canvas_size":[486,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2507","image_path":"images/angle_estimation_2507.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2507_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_2507_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2507_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"33","question_id":"angle_estimation_2507_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2507_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[101.0127,245.7507],[357.9105,159.1628]],"scene_type":"single","seed":2507,"vertex":[243.0,240.5]}
+{"angle_degrees":58.560838,"arc_sweep_degrees":58.560838,"canvas_size":[459,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2508","image_path":"images/angle_estimation_2508.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2508_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_2508_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2508_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"121","question_id":"angle_estimation_2508_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2508_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[364.4931,229.6528],[309.8518,353.6747]],"scene_type":"single","seed":2508,"vertex":[229.5,237.0]}
+{"angle_1_degrees":23.499216,"angle_2_degrees":130.106835,"angles":[{"angle_degrees":23.499216,"arc_sweep_degrees":23.499216,"ray_endpoints":[[182.4079,357.659],[137.1528,362.07]],"vertex":[129.87,256.5]},{"angle_degrees":130.106835,"arc_sweep_degrees":130.106835,"ray_endpoints":[[347.5612,151.368],[436.6669,323.7206]],"vertex":[351.13,256.5]}],"canvas_size":[481,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2509","image_path":"images/angle_estimation_2509.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2509_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2509_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_2509_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2509_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2509_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2509}
+{"angle_1_degrees":53.149388,"angle_2_degrees":35.984074,"angles":[{"angle_degrees":53.149388,"arc_sweep_degrees":53.149388,"ray_endpoints":[[227.6503,300.1334],[173.1916,397.8331]],"vertex":[130.14,267.33]},{"angle_degrees":35.984074,"arc_sweep_degrees":35.984074,"ray_endpoints":[[426.1639,308.2841],[396.6077,362.6236]],"vertex":[351.86,267.33]}],"canvas_size":[482,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2510","image_path":"images/angle_estimation_2510.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2510_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2510_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2510_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2510_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2510_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2510}
+{"angle_1_degrees":27.433718,"angle_2_degrees":142.572249,"angles":[{"angle_degrees":27.433718,"arc_sweep_degrees":27.433718,"ray_endpoints":[[97.2697,337.3823],[34.2422,337.6308]],"vertex":[133.65,270.75]},{"angle_degrees":142.572249,"arc_sweep_degrees":142.572249,"ray_endpoints":[[345.3167,371.0769],[296.8604,151.2201]],"vertex":[361.35,270.75]}],"canvas_size":[495,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2511","image_path":"images/angle_estimation_2511.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2511_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2511_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_2511_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2511_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2511_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2511}
+{"angle_1_degrees":28.98586,"angle_2_degrees":86.908896,"angles":[{"angle_degrees":28.98586,"arc_sweep_degrees":28.98586,"ray_endpoints":[[73.516,202.6003],[119.4268,177.9319]],"vertex":[133.92,283.29]},{"angle_degrees":86.908896,"arc_sweep_degrees":86.908896,"ray_endpoints":[[296.4389,217.9626],[447.4822,187.6777]],"vertex":[362.08,283.29]}],"canvas_size":[496,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2512","image_path":"images/angle_estimation_2512.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2512_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2512_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2512_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2512_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2512_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2512}
+{"angle_1_degrees":65.225713,"angle_2_degrees":20.56943,"angles":[{"angle_degrees":65.225713,"arc_sweep_degrees":65.225713,"ray_endpoints":[[224.0767,219.881],[221.1217,343.7442]],"vertex":[127.71,265.05]},{"angle_degrees":20.56943,"arc_sweep_degrees":20.56943,"ray_endpoints":[[252.04,227.5097],[267.7815,194.0315]],"vertex":[345.29,265.05]}],"canvas_size":[473,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2513","image_path":"images/angle_estimation_2513.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2513_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2513_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2513_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2513_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2513_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2513}
+{"angle_1_degrees":25.867222,"angle_2_degrees":141.872789,"angles":[{"angle_degrees":25.867222,"arc_sweep_degrees":25.867222,"ray_endpoints":[[128.6571,377.3944],[75.655,399.2551]],"vertex":[123.12,284.43]},{"angle_degrees":141.872789,"arc_sweep_degrees":141.872789,"ray_endpoints":[[373.1554,203.3587],[356.3385,397.6124]],"vertex":[332.88,284.43]}],"canvas_size":[456,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2514","image_path":"images/angle_estimation_2514.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2514_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2514_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_2514_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2514_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2514_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2514}
+{"angle_1_degrees":44.626328,"angle_2_degrees":112.413399,"angles":[{"angle_degrees":44.626328,"arc_sweep_degrees":44.626328,"ray_endpoints":[[32.1462,312.3702],[18.7234,224.2103]],"vertex":[131.49,277.59]},{"angle_degrees":112.413399,"arc_sweep_degrees":112.413399,"ray_endpoints":[[374.7296,178.5275],[448.9819,339.2075]],"vertex":[355.51,277.59]}],"canvas_size":[487,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2515","image_path":"images/angle_estimation_2515.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2515_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2515_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2515_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2515_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2515_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2515}
+{"canvas_size":[470,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2516","image_path":"images/angle_estimation_2516.png","interior_angles_degrees":[128.547202,17.937113,33.515685],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2516_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2516_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2516_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2516_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2516_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2516,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[147.8525,306.7672],[415.0,306.7672],[55.0,190.2328]]}
+{"canvas_size":[463,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2517","image_path":"images/angle_estimation_2517.png","interior_angles_degrees":[118.592344,26.139057,35.268598],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2517_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2517_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2517_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2517_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2517_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2517,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[149.4188,335.6157],[408.0,335.6157],[55.0,162.3843]]}
+{"canvas_size":[476,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2518","image_path":"images/angle_estimation_2518.png","interior_angles_degrees":[136.91509,20.909316,22.175594],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2518_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2518_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2518_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2518_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2518_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2518,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[204.5045,310.415],[421.0,310.415],[55.0,170.585]]}
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+{"angle_degrees":245.409582,"arc_sweep_degrees":245.409582,"canvas_size":[466,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2521","image_path":"images/angle_estimation_2521.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2521_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_2521_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2521_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"65","question_id":"angle_estimation_2521_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2521_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[340.7527,144.2721],[129.3185,201.5926]],"scene_type":"single","seed":2521,"vertex":[233.0,244.5]}
+{"angle_degrees":149.345019,"arc_sweep_degrees":149.345019,"canvas_size":[471,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2522","image_path":"images/angle_estimation_2522.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2522_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_2522_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2522_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"31","question_id":"angle_estimation_2522_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2522_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[365.8764,324.4752],[92.869,229.8937]],"scene_type":"single","seed":2522,"vertex":[235.5,237.5]}
+{"angle_degrees":232.111436,"arc_sweep_degrees":232.111436,"canvas_size":[456,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2523","image_path":"images/angle_estimation_2523.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2523_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2523_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2523_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"52","question_id":"angle_estimation_2523_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2523_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[126.4406,144.8946],[208.6297,404.1444]],"scene_type":"single","seed":2523,"vertex":[228.0,246.0]}
+{"angle_degrees":34.327327,"arc_sweep_degrees":34.327327,"canvas_size":[490,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2524","image_path":"images/angle_estimation_2524.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2524_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2524_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2524_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"146","question_id":"angle_estimation_2524_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2524_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[112.3803,369.6489],[100.1534,273.3257]],"scene_type":"single","seed":2524,"vertex":[245.0,260.0]}
+{"angle_degrees":179.999994,"arc_sweep_degrees":179.999994,"canvas_size":[468,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2525","image_path":"images/angle_estimation_2525.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2525_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_2525_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2525_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_2525_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2525_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[249.1729,388.6422],[219.8196,104.9502]],"scene_type":"single","seed":2525,"vertex":[234.0,242.0]}
+{"angle_degrees":35.953118,"arc_sweep_degrees":35.953118,"canvas_size":[464,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2526","image_path":"images/angle_estimation_2526.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2526_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2526_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2526_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"144","question_id":"angle_estimation_2526_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2526_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[123.0988,321.6097],[120.3711,244.7388]],"scene_type":"single","seed":2526,"vertex":[232.0,249.5]}
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+{"angle_degrees":72.828868,"arc_sweep_degrees":72.828868,"canvas_size":[467,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2528","image_path":"images/angle_estimation_2528.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2528_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_2528_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2528_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"107","question_id":"angle_estimation_2528_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2528_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[380.5857,247.0693],[265.3745,350.3264]],"scene_type":"single","seed":2528,"vertex":[233.5,247.0]}
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+{"angle_1_degrees":70.1528,"angle_2_degrees":107.558526,"angles":[{"angle_degrees":70.1528,"arc_sweep_degrees":70.1528,"ray_endpoints":[[188.3111,328.1974],[61.873,386.5861]],"vertex":[130.14,262.2]},{"angle_degrees":107.558526,"arc_sweep_degrees":107.558526,"ray_endpoints":[[461.282,281.502],[293.8713,373.2989]],"vertex":[351.86,262.2]}],"canvas_size":[482,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2530","image_path":"images/angle_estimation_2530.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2530_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2530_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2530_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2530_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2530_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2530}
+{"angle_1_degrees":12.229076,"angle_2_degrees":97.573139,"angles":[{"angle_degrees":12.229076,"arc_sweep_degrees":12.229076,"ray_endpoints":[[53.7907,222.0524],[36.2009,176.7591]],"vertex":[133.92,272.46]},{"angle_degrees":97.573139,"arc_sweep_degrees":97.573139,"ray_endpoints":[[456.4796,310.5933],[290.96,397.8082]],"vertex":[362.08,272.46]}],"canvas_size":[496,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2531","image_path":"images/angle_estimation_2531.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2531_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2531_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2531_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2531_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2531_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2531}
+{"angle_1_degrees":36.782963,"angle_2_degrees":56.525914,"angles":[{"angle_degrees":36.782963,"arc_sweep_degrees":36.782963,"ray_endpoints":[[212.2176,314.5128],[189.5281,396.2378]],"vertex":[125.55,272.46]},{"angle_degrees":56.525914,"arc_sweep_degrees":56.525914,"ray_endpoints":[[303.1432,195.3479],[399.5956,173.5899]],"vertex":[339.45,272.46]}],"canvas_size":[465,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2532","image_path":"images/angle_estimation_2532.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2532_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2532_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2532_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2532_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2532_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2532}
+{"angle_1_degrees":132.981226,"angle_2_degrees":46.658273,"angles":[{"angle_degrees":132.981226,"arc_sweep_degrees":132.981226,"ray_endpoints":[[56.7199,260.4438],[207.0341,174.0825]],"vertex":[133.11,258.21]},{"angle_degrees":46.658273,"arc_sweep_degrees":46.658273,"ray_endpoints":[[393.7485,336.233],[312.0255,369.8885]],"vertex":[359.89,258.21]}],"canvas_size":[493,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2533","image_path":"images/angle_estimation_2533.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2533_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2533_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2533_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2533_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2533_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2533}
+{"angle_1_degrees":60.663233,"angle_2_degrees":46.737069,"angles":[{"angle_degrees":60.663233,"arc_sweep_degrees":60.663233,"ray_endpoints":[[209.1674,265.9491],[184.6614,360.5278]],"vertex":[130.68,266.76]},{"angle_degrees":46.737069,"arc_sweep_degrees":46.737069,"ray_endpoints":[[272.809,288.6929],[259.6369,209.3548]],"vertex":[353.32,266.76]}],"canvas_size":[484,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2534","image_path":"images/angle_estimation_2534.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2534_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2534_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2534_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2534_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2534_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2534}
+{"angle_1_degrees":58.595396,"angle_2_degrees":43.055104,"angles":[{"angle_degrees":58.595396,"arc_sweep_degrees":58.595396,"ray_endpoints":[[143.7772,335.5939],[46.2869,328.4425]],"vertex":[133.11,257.64]},{"angle_degrees":43.055104,"arc_sweep_degrees":43.055104,"ray_endpoints":[[336.2216,167.2196],[422.9871,140.8786]],"vertex":[359.89,257.64]}],"canvas_size":[493,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2535","image_path":"images/angle_estimation_2535.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2535_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2535_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2535_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2535_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2535_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2535}
+{"canvas_size":[476,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2536","image_path":"images/angle_estimation_2536.png","interior_angles_degrees":[54.250971,70.877791,54.871238],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2536_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2536_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2536_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2536_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2536_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2536,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,426.0754],[421.0,426.0754],[302.0244,82.9246]]}
+{"canvas_size":[452,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2537","image_path":"images/angle_estimation_2537.png","interior_angles_degrees":[61.455698,66.137181,52.407121],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2537_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2537_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2537_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2537_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2537_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2537,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,431.8717],[397.0,431.8717],[243.6136,85.1283]]}
+{"canvas_size":[489,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2538","image_path":"images/angle_estimation_2538.png","interior_angles_degrees":[65.404585,53.107329,61.488086],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2538_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2538_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2538_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2538_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2538_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2538,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,411.8241],[434.0,411.8241],[198.569,98.1759]]}
+{"canvas_size":[500,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2539","image_path":"images/angle_estimation_2539.png","interior_angles_degrees":[49.599153,44.57523,85.825617],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2539_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2539_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2539_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2539_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2539_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2539,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,357.4999],[445.0,357.4999],[232.8781,148.5001]]}
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+{"angle_degrees":186.769767,"arc_sweep_degrees":186.769767,"canvas_size":[484,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2541","image_path":"images/angle_estimation_2541.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2541_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_2541_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2541_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"7","question_id":"angle_estimation_2541_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2541_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[326.8521,378.3473],[186.8718,149.2582]],"scene_type":"single","seed":2541,"vertex":[242.0,254.5]}
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+{"angle_degrees":148.014521,"arc_sweep_degrees":148.014521,"canvas_size":[485,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2544","image_path":"images/angle_estimation_2544.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2544_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_2544_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2544_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"32","question_id":"angle_estimation_2544_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2544_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[257.7602,117.2254],[305.1597,388.3758]],"scene_type":"single","seed":2544,"vertex":[242.5,259.0]}
+{"angle_degrees":120.0,"arc_sweep_degrees":120.0,"canvas_size":[479,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2545","image_path":"images/angle_estimation_2545.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2545_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_2545_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2545_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"60","question_id":"angle_estimation_2545_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2545_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[109.6673,368.8112],[214.2135,132.0456]],"scene_type":"single","seed":2545,"vertex":[239.5,252.5]}
+{"angle_degrees":142.613071,"arc_sweep_degrees":142.613071,"canvas_size":[471,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2546","image_path":"images/angle_estimation_2546.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2546_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_2546_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2546_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"37","question_id":"angle_estimation_2546_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2546_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[86.9247,279.6345],[313.9075,133.7942]],"scene_type":"single","seed":2546,"vertex":[235.5,238.0]}
+{"angle_degrees":277.626914,"arc_sweep_degrees":277.626914,"canvas_size":[470,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2547","image_path":"images/angle_estimation_2547.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2547_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_2547_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2547_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"98","question_id":"angle_estimation_2547_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2547_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[317.8666,342.7066],[359.5212,165.3654]],"scene_type":"single","seed":2547,"vertex":[235.0,247.5]}
+{"angle_degrees":235.476321,"arc_sweep_degrees":235.476321,"canvas_size":[499,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2548","image_path":"images/angle_estimation_2548.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2548_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_2548_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2548_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"55","question_id":"angle_estimation_2548_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2548_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[341.9222,351.481],[277.6876,135.6036]],"scene_type":"single","seed":2548,"vertex":[249.5,245.5]}
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+{"angle_1_degrees":92.826382,"angle_2_degrees":155.998851,"angles":[{"angle_degrees":92.826382,"arc_sweep_degrees":92.826382,"ray_endpoints":[[47.6483,223.8295],[209.975,162.1881]],"vertex":[124.47,275.88]},{"angle_degrees":155.998851,"arc_sweep_degrees":155.998851,"ray_endpoints":[[355.4816,194.2418],[363.3906,414.9479]],"vertex":[336.53,275.88]}],"canvas_size":[461,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2550","image_path":"images/angle_estimation_2550.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2550_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2550_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2550_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2550_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2550_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2550}
+{"angle_1_degrees":63.272142,"angle_2_degrees":31.428432,"angles":[{"angle_degrees":63.272142,"arc_sweep_degrees":63.272142,"ray_endpoints":[[224.3958,252.7708],[221.2875,377.2814]],"vertex":[131.49,278.73]},{"angle_degrees":31.428432,"arc_sweep_degrees":31.428432,"ray_endpoints":[[398.7431,367.2117],[342.291,418.8908]],"vertex":[355.51,278.73]}],"canvas_size":[487,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2551","image_path":"images/angle_estimation_2551.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2551_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2551_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2551_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2551_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2551_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2551}
+{"angle_1_degrees":107.33703,"angle_2_degrees":63.025395,"angles":[{"angle_degrees":107.33703,"arc_sweep_degrees":107.33703,"ray_endpoints":[[45.5344,340.5565],[76.7336,173.6404]],"vertex":[122.31,269.61]},{"angle_degrees":63.025395,"arc_sweep_degrees":63.025395,"ray_endpoints":[[417.3929,209.5756],[427.6724,321.8866]],"vertex":[330.69,269.61]}],"canvas_size":[453,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2552","image_path":"images/angle_estimation_2552.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2552_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2552_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2552_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2552_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2552_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2552}
+{"angle_1_degrees":44.537203,"angle_2_degrees":27.296384,"angles":[{"angle_degrees":44.537203,"arc_sweep_degrees":44.537203,"ray_endpoints":[[155.3756,174.042],[230.82,201.4189]],"vertex":[133.92,261.06]},{"angle_degrees":27.296384,"arc_sweep_degrees":27.296384,"ray_endpoints":[[278.4229,211.5048],[286.9291,141.0861]],"vertex":[362.08,261.06]}],"canvas_size":[496,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2553","image_path":"images/angle_estimation_2553.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2553_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2553_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2553_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2553_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2553_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2553}
+{"angle_1_degrees":31.949211,"angle_2_degrees":69.691807,"angles":[{"angle_degrees":31.949211,"arc_sweep_degrees":31.949211,"ray_endpoints":[[110.6016,362.5207],[36.1359,365.9629]],"vertex":[126.9,262.2]},{"angle_degrees":69.691807,"arc_sweep_degrees":69.691807,"ray_endpoints":[[297.576,167.9798],[436.3278,165.334]],"vertex":[343.1,262.2]}],"canvas_size":[470,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2554","image_path":"images/angle_estimation_2554.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2554_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2554_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2554_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2554_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2554_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2554}
+{"angle_1_degrees":133.587583,"angle_2_degrees":43.670728,"angles":[{"angle_degrees":133.587583,"arc_sweep_degrees":133.587583,"ray_endpoints":[[39.9378,295.2485],[169.5997,140.4454]],"vertex":[126.63,257.64]},{"angle_degrees":43.670728,"arc_sweep_degrees":43.670728,"ray_endpoints":[[409.228,341.2372],[332.2295,373.1013]],"vertex":[342.37,257.64]}],"canvas_size":[469,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2555","image_path":"images/angle_estimation_2555.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2555_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2555_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2555_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2555_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2555_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2555}
+{"canvas_size":[456,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2556","image_path":"images/angle_estimation_2556.png","interior_angles_degrees":[90.288158,50.184531,39.527311],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2556_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2556_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2556_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2556_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2556_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2556,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[76.4636,433.0],[381.3872,433.0],[74.6128,65.0]]}
+{"canvas_size":[450,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2557","image_path":"images/angle_estimation_2557.png","interior_angles_degrees":[90.910656,41.699159,47.390185],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2557_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2557_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2557_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2557_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2557_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2557,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[59.815,400.46],[395.0,400.46],[55.0,97.54]]}
+{"canvas_size":[482,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2558","image_path":"images/angle_estimation_2558.png","interior_angles_degrees":[90.34062,52.717268,36.942112],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2558_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2558_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2558_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2558_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2558_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2558,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[101.9808,436.0],[382.2248,436.0],[99.7752,65.0]]}
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+{"canvas_size":[478,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2560","image_path":"images/angle_estimation_2560.png","interior_angles_degrees":[91.067494,26.061171,62.871335],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2560_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2560_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2560_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2560_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2560_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2560,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[58.3535,337.9861],[423.0,337.9861],[55.0,158.0139]]}
+{"angle_degrees":286.042012,"arc_sweep_degrees":286.042012,"canvas_size":[459,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2561","image_path":"images/angle_estimation_2561.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2561_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_2561_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2561_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"106","question_id":"angle_estimation_2561_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2561_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[161.1928,114.2054],[115.0364,267.1162]],"scene_type":"single","seed":2561,"vertex":[229.5,243.0]}
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+{"angle_1_degrees":149.587645,"angle_2_degrees":121.514563,"angles":[{"angle_degrees":149.587645,"arc_sweep_degrees":149.587645,"ray_endpoints":[[226.4927,267.7812],[38.151,325.9803]],"vertex":[130.14,269.61]},{"angle_degrees":121.514563,"arc_sweep_degrees":121.514563,"ray_endpoints":[[344.4213,194.6712],[457.8182,320.9366]],"vertex":[351.86,269.61]}],"canvas_size":[482,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2569","image_path":"images/angle_estimation_2569.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2569_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2569_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2569_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2569_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2569_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2569}
+{"angle_1_degrees":49.495325,"angle_2_degrees":36.91081,"angles":[{"angle_degrees":49.495325,"arc_sweep_degrees":49.495325,"ray_endpoints":[[131.9786,181.6358],[223.6845,177.9941]],"vertex":[132.57,257.07]},{"angle_degrees":36.91081,"arc_sweep_degrees":36.91081,"ray_endpoints":[[436.9913,325.6366],[380.9393,363.1916]],"vertex":[358.43,257.07]}],"canvas_size":[491,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2570","image_path":"images/angle_estimation_2570.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2570_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2570_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2570_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2570_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2570_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2570}
+{"angle_1_degrees":102.637076,"angle_2_degrees":70.934177,"angles":[{"angle_degrees":102.637076,"arc_sweep_degrees":102.637076,"ray_endpoints":[[208.8454,275.8273],[90.3217,377.5638]],"vertex":[123.93,269.04]},{"angle_degrees":70.934177,"arc_sweep_degrees":70.934177,"ray_endpoints":[[423.1194,239.9242],[402.1844,356.9376]],"vertex":[335.07,269.04]}],"canvas_size":[459,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2571","image_path":"images/angle_estimation_2571.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2571_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2571_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2571_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2571_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2571_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2571}
+{"angle_1_degrees":146.423667,"angle_2_degrees":55.782333,"angles":[{"angle_degrees":146.423667,"arc_sweep_degrees":146.423667,"ray_endpoints":[[135.6131,193.3587],[170.725,380.6117]],"vertex":[122.31,271.32]},{"angle_degrees":55.782333,"arc_sweep_degrees":55.782333,"ray_endpoints":[[351.5805,348.4328],[239.8516,377.2122]],"vertex":[330.69,271.32]}],"canvas_size":[453,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2572","image_path":"images/angle_estimation_2572.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2572_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2572_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2572_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2572_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2572_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2572}
+{"angle_1_degrees":14.736174,"angle_2_degrees":84.489802,"angles":[{"angle_degrees":14.736174,"arc_sweep_degrees":14.736174,"ray_endpoints":[[28.5045,256.5711],[22.5235,229.2685]],"vertex":[123.39,261.63]},{"angle_degrees":84.489802,"arc_sweep_degrees":84.489802,"ray_endpoints":[[402.7162,229.8924],[398.4877,373.2016]],"vertex":[333.61,261.63]}],"canvas_size":[457,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2573","image_path":"images/angle_estimation_2573.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2573_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2573_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2573_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2573_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2573_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2573}
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+{"angle_1_degrees":36.590723,"angle_2_degrees":165.210192,"angles":[{"angle_degrees":36.590723,"arc_sweep_degrees":36.590723,"ray_endpoints":[[159.6991,331.268],[98.7639,391.6189]],"vertex":[126.63,259.35]},{"angle_degrees":165.210192,"arc_sweep_degrees":165.210192,"ray_endpoints":[[310.3874,182.6931],[423.1002,364.8012]],"vertex":[342.37,259.35]}],"canvas_size":[469,455],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2575","image_path":"images/angle_estimation_2575.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2575_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2575_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_2575_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2575_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2575_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2575}
+{"canvas_size":[494,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2576","image_path":"images/angle_estimation_2576.png","interior_angles_degrees":[101.564599,37.748977,40.686424],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2576_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2576_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2576_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2576_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2576_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2576,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[115.8383,411.6568],[439.0,411.6568],[55.0,114.3432]]}
+{"canvas_size":[489,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2577","image_path":"images/angle_estimation_2577.png","interior_angles_degrees":[138.95654,19.605899,21.437561],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2577_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2577_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2577_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2577_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2577_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2577,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[210.0618,318.9999],[434.0,318.9999],[55.0,184.0001]]}
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+{"angle_degrees":149.207577,"arc_sweep_degrees":149.207577,"canvas_size":[496,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2582","image_path":"images/angle_estimation_2582.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2582_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_2582_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2582_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"31","question_id":"angle_estimation_2582_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2582_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[363.8676,190.2911],[159.3925,364.8971]],"scene_type":"single","seed":2582,"vertex":[248.0,241.0]}
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+{"angle_degrees":66.937929,"arc_sweep_degrees":66.937929,"canvas_size":[466,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2587","image_path":"images/angle_estimation_2587.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2587_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_2587_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2587_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"113","question_id":"angle_estimation_2587_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2587_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[387.5899,265.9233],[269.6368,368.4924]],"scene_type":"single","seed":2587,"vertex":[233.0,250.0]}
+{"angle_degrees":59.585387,"arc_sweep_degrees":59.585387,"canvas_size":[486,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2588","image_path":"images/angle_estimation_2588.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2588_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_2588_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2588_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_2588_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2588_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[261.5818,91.1791],[367.0017,187.4822]],"scene_type":"single","seed":2588,"vertex":[243.0,241.0]}
+{"angle_1_degrees":58.102428,"angle_2_degrees":34.083221,"angles":[{"angle_degrees":58.102428,"arc_sweep_degrees":58.102428,"ray_endpoints":[[52.2213,244.1418],[106.5848,135.5669]],"vertex":[123.12,277.59]},{"angle_degrees":34.083221,"arc_sweep_degrees":34.083221,"ray_endpoints":[[420.4618,259.1693],[431.3264,317.7764]],"vertex":[332.88,277.59]}],"canvas_size":[456,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2589","image_path":"images/angle_estimation_2589.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2589_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2589_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2589_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2589_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2589_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2589}
+{"angle_1_degrees":27.211407,"angle_2_degrees":161.734628,"angles":[{"angle_degrees":27.211407,"arc_sweep_degrees":27.211407,"ray_endpoints":[[115.6961,346.3294],[46.3185,368.2396]],"vertex":[133.65,260.49]},{"angle_degrees":161.734628,"arc_sweep_degrees":161.734628,"ray_endpoints":[[287.4135,345.8325],[403.959,158.3228]],"vertex":[361.35,260.49]}],"canvas_size":[495,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2590","image_path":"images/angle_estimation_2590.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2590_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2590_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_2590_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2590_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2590_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2590}
+{"angle_1_degrees":86.153052,"angle_2_degrees":161.970499,"angles":[{"angle_degrees":86.153052,"arc_sweep_degrees":86.153052,"ray_endpoints":[[77.4052,349.315],[14.905,209.0881]],"vertex":[127.44,269.61]},{"angle_degrees":161.970499,"arc_sweep_degrees":161.970499,"ray_endpoints":[[390.2529,363.0234],[269.4752,192.1148]],"vertex":[344.56,269.61]}],"canvas_size":[472,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2591","image_path":"images/angle_estimation_2591.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2591_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2591_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2591_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2591_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2591_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2591}
+{"angle_1_degrees":46.69543,"angle_2_degrees":32.408939,"angles":[{"angle_degrees":46.69543,"arc_sweep_degrees":46.69543,"ray_endpoints":[[53.7766,190.9336],[135.5744,123.7224]],"vertex":[130.95,268.47]},{"angle_degrees":32.408939,"arc_sweep_degrees":32.408939,"ray_endpoints":[[425.8642,207.2294],[459.1969,253.6038]],"vertex":[354.05,268.47]}],"canvas_size":[485,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2592","image_path":"images/angle_estimation_2592.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2592_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2592_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2592_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2592_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2592_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2592}
+{"angle_1_degrees":65.288111,"angle_2_degrees":126.907338,"angles":[{"angle_degrees":65.288111,"arc_sweep_degrees":65.288111,"ray_endpoints":[[76.2503,161.2375],[193.4821,171.8077]],"vertex":[129.33,258.21]},{"angle_degrees":126.907338,"arc_sweep_degrees":126.907338,"ray_endpoints":[[451.651,230.1179],[310.8126,356.8231]],"vertex":[349.67,258.21]}],"canvas_size":[479,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2593","image_path":"images/angle_estimation_2593.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2593_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2593_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2593_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2593_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2593_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2593}
+{"angle_1_degrees":81.579782,"angle_2_degrees":144.785217,"angles":[{"angle_degrees":81.579782,"arc_sweep_degrees":81.579782,"ray_endpoints":[[214.0236,309.8301],[95.8256,416.1172]],"vertex":[126.9,276.45]},{"angle_degrees":144.785217,"arc_sweep_degrees":144.785217,"ray_endpoints":[[398.2577,203.4162],[339.5927,385.2355]],"vertex":[343.1,276.45]}],"canvas_size":[470,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2594","image_path":"images/angle_estimation_2594.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2594_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2594_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2594_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2594_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2594_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2594}
+{"angle_1_degrees":27.36921,"angle_2_degrees":69.598959,"angles":[{"angle_degrees":27.36921,"arc_sweep_degrees":27.36921,"ray_endpoints":[[103.5345,373.4959],[60.4099,343.9701]],"vertex":[133.38,265.05]},{"angle_degrees":69.598959,"arc_sweep_degrees":69.598959,"ray_endpoints":[[456.8951,266.1064],[396.4748,364.7914]],"vertex":[360.62,265.05]}],"canvas_size":[494,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2595","image_path":"images/angle_estimation_2595.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2595_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2595_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2595_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2595_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2595_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2595}
+{"canvas_size":[459,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2596","image_path":"images/angle_estimation_2596.png","interior_angles_degrees":[60.633812,56.87943,62.486757],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2596_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2596_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2596_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2596_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2596_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2596,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,395.1099],[404.0,395.1099],[216.6168,107.8901]]}
+{"canvas_size":[484,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2597","image_path":"images/angle_estimation_2597.png","interior_angles_degrees":[46.671365,47.266395,86.06224],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2597_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2597_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2597_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2597_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2597_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2597,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,341.6523],[429.0,341.6523],[243.9466,141.3477]]}
+{"canvas_size":[496,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2598","image_path":"images/angle_estimation_2598.png","interior_angles_degrees":[50.360407,49.337534,80.30206],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2598_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2598_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2598_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2598_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2598_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2598,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,376.3749],[441.0,376.3749],[244.5047,147.6251]]}
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+{"angle_degrees":318.615827,"arc_sweep_degrees":318.615827,"canvas_size":[455,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2602","image_path":"images/angle_estimation_2602.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2602_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_2602_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2602_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"139","question_id":"angle_estimation_2602_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2602_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[304.0086,135.1965],[199.0841,98.9581]],"scene_type":"single","seed":2602,"vertex":[227.5,260.5]}
+{"angle_degrees":103.307444,"arc_sweep_degrees":103.307444,"canvas_size":[469,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2603","image_path":"images/angle_estimation_2603.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2603_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_2603_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2603_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"77","question_id":"angle_estimation_2603_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2603_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[89.0206,317.1216],[212.6818,98.3293]],"scene_type":"single","seed":2603,"vertex":[234.5,261.5]}
+{"angle_degrees":338.436721,"arc_sweep_degrees":338.436721,"canvas_size":[450,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2604","image_path":"images/angle_estimation_2604.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2604_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_2604_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2604_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"158","question_id":"angle_estimation_2604_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2604_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[363.0631,275.477],[336.2367,227.1528]],"scene_type":"single","seed":2604,"vertex":[225.0,245.0]}
+{"angle_degrees":59.999989,"arc_sweep_degrees":59.999989,"canvas_size":[483,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2605","image_path":"images/angle_estimation_2605.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2605_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_2605_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2605_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_2605_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2605_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[188.5137,99.8394],[343.8044,110.1132]],"scene_type":"single","seed":2605,"vertex":[241.5,237.0]}
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+{"angle_degrees":73.835917,"arc_sweep_degrees":73.835917,"canvas_size":[496,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2608","image_path":"images/angle_estimation_2608.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2608_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_2608_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2608_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"106","question_id":"angle_estimation_2608_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2608_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[300.12,108.2085],[404.6659,257.8628]],"scene_type":"single","seed":2608,"vertex":[248.0,245.0]}
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+{"angle_1_degrees":28.627142,"angle_2_degrees":113.944416,"angles":[{"angle_degrees":28.627142,"arc_sweep_degrees":28.627142,"ray_endpoints":[[155.709,167.8595],[228.1147,164.0844]],"vertex":[129.87,270.18]},{"angle_degrees":113.944416,"arc_sweep_degrees":113.944416,"ray_endpoints":[[428.6079,273.7546],[287.5212,397.2814]],"vertex":[351.13,270.18]}],"canvas_size":[481,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2610","image_path":"images/angle_estimation_2610.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2610_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2610_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2610_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2610_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2610_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2610}
+{"angle_1_degrees":12.42511,"angle_2_degrees":68.011084,"angles":[{"angle_degrees":12.42511,"arc_sweep_degrees":12.42511,"ray_endpoints":[[188.3785,312.2886],[209.6357,362.347]],"vertex":[128.52,266.76]},{"angle_degrees":68.011084,"arc_sweep_degrees":68.011084,"ray_endpoints":[[459.7055,260.7025],[406.2468,392.3362]],"vertex":[347.48,266.76]}],"canvas_size":[476,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2611","image_path":"images/angle_estimation_2611.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2611_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2611_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2611_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2611_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2611_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2611}
+{"angle_1_degrees":64.365065,"angle_2_degrees":109.64514,"angles":[{"angle_degrees":64.365065,"arc_sweep_degrees":64.365065,"ray_endpoints":[[147.632,390.6063],[30.17,353.5474]],"vertex":[124.47,281.01]},{"angle_degrees":109.64514,"arc_sweep_degrees":109.64514,"ray_endpoints":[[246.2009,242.6976],[418.3055,192.1701]],"vertex":[336.53,281.01]}],"canvas_size":[461,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2612","image_path":"images/angle_estimation_2612.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2612_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2612_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2612_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2612_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2612_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2612}
+{"angle_1_degrees":47.897553,"angle_2_degrees":12.380549,"angles":[{"angle_degrees":47.897553,"arc_sweep_degrees":47.897553,"ray_endpoints":[[204.7476,309.3808],[157.1338,381.2763]],"vertex":[126.09,270.18]},{"angle_degrees":12.380549,"arc_sweep_degrees":12.380549,"ray_endpoints":[[323.9678,356.5383],[289.1706,389.2853]],"vertex":[340.91,270.18]}],"canvas_size":[467,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2613","image_path":"images/angle_estimation_2613.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2613_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2613_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2613_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2613_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2613_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2613}
+{"angle_1_degrees":61.502294,"angle_2_degrees":34.497434,"angles":[{"angle_degrees":61.502294,"arc_sweep_degrees":61.502294,"ray_endpoints":[[168.0115,354.9751],[49.9046,384.9794]],"vertex":[123.66,272.46]},{"angle_degrees":34.497434,"arc_sweep_degrees":34.497434,"ray_endpoints":[[290.1579,171.957],[360.2272,136.3244]],"vertex":[334.34,272.46]}],"canvas_size":[458,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2614","image_path":"images/angle_estimation_2614.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2614_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2614_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2614_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2614_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2614_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2614}
+{"angle_1_degrees":98.439958,"angle_2_degrees":86.989937,"angles":[{"angle_degrees":98.439958,"arc_sweep_degrees":98.439958,"ray_endpoints":[[204.2449,215.3911],[194.2214,392.139]],"vertex":[130.95,267.33]},{"angle_degrees":86.989937,"arc_sweep_degrees":86.989937,"ray_endpoints":[[433.9189,262.3051],[369.9033,404.136]],"vertex":[354.05,267.33]}],"canvas_size":[485,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2615","image_path":"images/angle_estimation_2615.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2615_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2615_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2615_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2615_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2615_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2615}
+{"canvas_size":[479,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2616","image_path":"images/angle_estimation_2616.png","interior_angles_degrees":[91.002591,40.349227,48.648182],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2616_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2616_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2616_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2616_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2616_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2616,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[60.486,417.2401],[424.0,417.2401],[55.0,103.7599]]}
+{"canvas_size":[454,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2617","image_path":"images/angle_estimation_2617.png","interior_angles_degrees":[90.364757,44.933133,44.702111],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2617_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2617_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2617_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2617_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2617_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2617,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[57.1849,417.599],[399.0,417.599],[55.0,74.401]]}
+{"canvas_size":[497,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2618","image_path":"images/angle_estimation_2618.png","interior_angles_degrees":[90.725011,34.043672,55.231317],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2618_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2618_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2618_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2618_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2618_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2618,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[58.3087,385.7321],[442.0,385.7321],[55.0,124.2679]]}
+{"canvas_size":[485,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2619","image_path":"images/angle_estimation_2619.png","interior_angles_degrees":[89.72118,43.294399,46.98442],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2619_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2619_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2619_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2619_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2619_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2619,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,430.8502],[430.0,430.8502],[56.7115,79.1498]]}
+{"canvas_size":[494,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2620","image_path":"images/angle_estimation_2620.png","interior_angles_degrees":[90.343129,30.403256,59.253615],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2620_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2620_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2620_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2620_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2620_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2620,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.3494,375.6604],[439.0,375.6604],[55.0,150.3396]]}
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+{"angle_degrees":48.370782,"arc_sweep_degrees":48.370782,"canvas_size":[466,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2622","image_path":"images/angle_estimation_2622.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2622_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_2622_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2622_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"132","question_id":"angle_estimation_2622_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2622_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[222.8197,74.3633],[335.1838,146.4053]],"scene_type":"single","seed":2622,"vertex":[233.0,248.5]}
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+{"angle_1_degrees":80.093948,"angle_2_degrees":98.116934,"angles":[{"angle_degrees":80.093948,"arc_sweep_degrees":80.093948,"ray_endpoints":[[164.6256,358.7787],[15.7168,330.3564]],"vertex":[132.3,265.62]},{"angle_degrees":98.116934,"arc_sweep_degrees":98.116934,"ray_endpoints":[[361.3774,152.2514],[474.6179,286.1828]],"vertex":[357.7,265.62]}],"canvas_size":[490,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2631","image_path":"images/angle_estimation_2631.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2631_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2631_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2631_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2631_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2631_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2631}
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+{"angle_1_degrees":54.645526,"angle_2_degrees":24.390839,"angles":[{"angle_degrees":54.645526,"arc_sweep_degrees":54.645526,"ray_endpoints":[[63.7652,335.3635],[17.8464,249.668]],"vertex":[130.14,267.33]},{"angle_degrees":24.390839,"arc_sweep_degrees":24.390839,"ray_endpoints":[[424.6186,221.3202],[456.5063,252.7777]],"vertex":[351.86,267.33]}],"canvas_size":[482,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2633","image_path":"images/angle_estimation_2633.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2633_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2633_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2633_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2633_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2633_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2633}
+{"angle_1_degrees":154.055867,"angle_2_degrees":19.425309,"angles":[{"angle_degrees":154.055867,"arc_sweep_degrees":154.055867,"ray_endpoints":[[214.676,192.5473],[85.5361,394.195]],"vertex":[132.03,270.75]},{"angle_degrees":19.425309,"arc_sweep_degrees":19.425309,"ray_endpoints":[[378.8077,359.033],[346.3123,380.8001]],"vertex":[356.97,270.75]}],"canvas_size":[489,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2634","image_path":"images/angle_estimation_2634.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2634_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2634_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_2634_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2634_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2634_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2634}
+{"angle_1_degrees":29.235475,"angle_2_degrees":118.683243,"angles":[{"angle_degrees":29.235475,"arc_sweep_degrees":29.235475,"ray_endpoints":[[85.5246,330.5805],[14.1714,319.4748]],"vertex":[133.65,263.91]},{"angle_degrees":118.683243,"arc_sweep_degrees":118.683243,"ray_endpoints":[[397.9906,168.0728],[449.5675,367.5878]],"vertex":[361.35,263.91]}],"canvas_size":[495,463],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2635","image_path":"images/angle_estimation_2635.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2635_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2635_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2635_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2635_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2635_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2635}
+{"canvas_size":[488,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2636","image_path":"images/angle_estimation_2636.png","interior_angles_degrees":[116.175958,24.023848,39.800194],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2636_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2636_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2636_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2636_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2636_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2636,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[137.8171,337.7425],[433.0,337.7425],[55.0,169.2575]]}
+{"canvas_size":[466,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2637","image_path":"images/angle_estimation_2637.png","interior_angles_degrees":[106.370467,38.874902,34.754631],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2637_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2637_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2637_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2637_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2637_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2637,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[139.3075,402.4992],[411.0,402.4992],[55.0,115.5008]]}
+{"canvas_size":[482,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2638","image_path":"images/angle_estimation_2638.png","interior_angles_degrees":[117.258802,22.686396,40.054802],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2638_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2638_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2638_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2638_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2638_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2638,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[135.1217,339.2536],[427.0,339.2536],[55.0,183.7464]]}
+{"canvas_size":[485,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2639","image_path":"images/angle_estimation_2639.png","interior_angles_degrees":[135.069119,20.42313,24.507751],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2639_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2639_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2639_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2639_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2639_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2639,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[194.9709,318.3168],[430.0,318.3168],[55.0,178.6832]]}
+{"canvas_size":[478,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2640","image_path":"images/angle_estimation_2640.png","interior_angles_degrees":[101.217,42.886905,35.896095],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2640_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2640_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2640_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2640_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2640_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2640,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[122.7856,411.405],[423.0,411.405],[55.0,69.595]]}
+{"angle_degrees":202.377342,"arc_sweep_degrees":202.377342,"canvas_size":[498,463],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2641","image_path":"images/angle_estimation_2641.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2641_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_2641_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2641_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"22","question_id":"angle_estimation_2641_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2641_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[420.191,243.7257],[151.2733,203.1144]],"scene_type":"single","seed":2641,"vertex":[249.0,243.5]}
+{"angle_degrees":69.704455,"arc_sweep_degrees":69.704455,"canvas_size":[486,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2642","image_path":"images/angle_estimation_2642.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2642_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_2642_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2642_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"110","question_id":"angle_estimation_2642_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2642_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[360.7252,331.9691],[215.628,381.3396]],"scene_type":"single","seed":2642,"vertex":[243.0,256.5]}
+{"angle_degrees":135.99558,"arc_sweep_degrees":135.99558,"canvas_size":[462,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2643","image_path":"images/angle_estimation_2643.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2643_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2643_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2643_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"44","question_id":"angle_estimation_2643_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2643_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[296.1106,354.1289],[113.9952,205.8058]],"scene_type":"single","seed":2643,"vertex":[231.0,240.0]}
+{"angle_degrees":282.210068,"arc_sweep_degrees":282.210068,"canvas_size":[500,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2644","image_path":"images/angle_estimation_2644.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2644_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_2644_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2644_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"102","question_id":"angle_estimation_2644_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2644_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[242.4024,96.9904],[99.9289,235.2529]],"scene_type":"single","seed":2644,"vertex":[250.0,260.5]}
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+{"angle_degrees":48.991145,"arc_sweep_degrees":48.991145,"canvas_size":[451,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2646","image_path":"images/angle_estimation_2646.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2646_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_2646_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2646_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"131","question_id":"angle_estimation_2646_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2646_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[64.4961,218.7739],[171.4661,155.3648]],"scene_type":"single","seed":2646,"vertex":[225.5,253.5]}
+{"angle_degrees":79.529382,"arc_sweep_degrees":79.529382,"canvas_size":[472,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2647","image_path":"images/angle_estimation_2647.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2647_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_2647_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2647_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"100","question_id":"angle_estimation_2647_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2647_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[304.3783,369.0194],[129.7858,355.7561]],"scene_type":"single","seed":2647,"vertex":[236.0,259.0]}
+{"angle_degrees":263.485091,"arc_sweep_degrees":263.485091,"canvas_size":[473,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2648","image_path":"images/angle_estimation_2648.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2648_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"270","question_id":"angle_estimation_2648_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2648_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"83","question_id":"angle_estimation_2648_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2648_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[105.2007,240.3918],[240.3671,383.4205]],"scene_type":"single","seed":2648,"vertex":[236.5,251.5]}
+{"angle_1_degrees":10.571915,"angle_2_degrees":91.037564,"angles":[{"angle_degrees":10.571915,"arc_sweep_degrees":10.571915,"ray_endpoints":[[65.5136,334.7962],[29.5785,342.7002]],"vertex":[123.66,266.76]},{"angle_degrees":91.037564,"arc_sweep_degrees":91.037564,"ray_endpoints":[[439.1428,228.5406],[376.0912,388.026]],"vertex":[334.34,266.76]}],"canvas_size":[458,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2649","image_path":"images/angle_estimation_2649.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2649_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2649_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2649_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2649_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2649_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2649}
+{"angle_1_degrees":77.098224,"angle_2_degrees":107.274962,"angles":[{"angle_degrees":77.098224,"arc_sweep_degrees":77.098224,"ray_endpoints":[[53.7224,273.4455],[95.1596,151.4738]],"vertex":[133.38,265.62]},{"angle_degrees":107.274962,"arc_sweep_degrees":107.274962,"ray_endpoints":[[391.6549,190.8711],[467.6313,354.8501]],"vertex":[360.62,265.62]}],"canvas_size":[494,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2650","image_path":"images/angle_estimation_2650.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2650_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2650_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2650_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2650_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2650_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2650}
+{"angle_1_degrees":140.319161,"angle_2_degrees":118.123721,"angles":[{"angle_degrees":140.319161,"arc_sweep_degrees":140.319161,"ray_endpoints":[[101.3124,342.9343],[96.2008,151.8154]],"vertex":[131.49,273.6]},{"angle_degrees":118.123721,"arc_sweep_degrees":118.123721,"ray_endpoints":[[366.9243,178.6445],[447.6611,338.0726]],"vertex":[355.51,273.6]}],"canvas_size":[487,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2651","image_path":"images/angle_estimation_2651.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2651_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2651_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2651_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2651_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2651_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2651}
+{"angle_1_degrees":22.08714,"angle_2_degrees":72.872509,"angles":[{"angle_degrees":22.08714,"arc_sweep_degrees":22.08714,"ray_endpoints":[[87.5281,171.6291],[128.4046,162.557]],"vertex":[122.58,273.03]},{"angle_degrees":72.872509,"arc_sweep_degrees":72.872509,"ray_endpoints":[[428.0685,327.6817],[306.5215,386.6596]],"vertex":[331.42,273.03]}],"canvas_size":[454,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2652","image_path":"images/angle_estimation_2652.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2652_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2652_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2652_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2652_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2652_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2652}
+{"angle_1_degrees":77.650819,"angle_2_degrees":106.769541,"angles":[{"angle_degrees":77.650819,"arc_sweep_degrees":77.650819,"ray_endpoints":[[53.6581,283.7764],[71.0757,155.603]],"vertex":[132.3,257.07]},{"angle_degrees":106.769541,"arc_sweep_degrees":106.769541,"ray_endpoints":[[297.4843,347.0485],[281.9938,165.0319]],"vertex":[357.7,257.07]}],"canvas_size":[490,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2653","image_path":"images/angle_estimation_2653.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2653_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2653_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2653_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2653_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2653_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2653}
+{"angle_1_degrees":98.406802,"angle_2_degrees":11.980846,"angles":[{"angle_degrees":98.406802,"arc_sweep_degrees":98.406802,"ray_endpoints":[[68.9948,357.8465],[26.7574,174.982]],"vertex":[128.79,260.49]},{"angle_degrees":11.980846,"arc_sweep_degrees":11.980846,"ray_endpoints":[[329.6837,340.732],[294.6435,375.4606]],"vertex":[348.21,260.49]}],"canvas_size":[477,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2654","image_path":"images/angle_estimation_2654.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2654_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2654_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2654_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2654_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2654_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2654}
+{"angle_1_degrees":57.401389,"angle_2_degrees":40.434254,"angles":[{"angle_degrees":57.401389,"arc_sweep_degrees":57.401389,"ray_endpoints":[[111.0707,204.3364],[215.2801,202.5319]],"vertex":[123.66,283.86]},{"angle_degrees":40.434254,"arc_sweep_degrees":40.434254,"ray_endpoints":[[298.4643,196.7295],[377.226,152.3003]],"vertex":[334.34,283.86]}],"canvas_size":[458,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2655","image_path":"images/angle_estimation_2655.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2655_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2655_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2655_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2655_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2655_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2655}
+{"canvas_size":[458,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2656","image_path":"images/angle_estimation_2656.png","interior_angles_degrees":[46.676656,56.847446,76.475898],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2656_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2656_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2656_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2656_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2656_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2656,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,359.5006],[403.0,359.5006],[260.6017,141.4994]]}
+{"canvas_size":[453,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2657","image_path":"images/angle_estimation_2657.png","interior_angles_degrees":[62.18332,43.20253,74.61415],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2657_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2657_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2657_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2657_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2657_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2657,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,357.6984],[398.0,357.6984],[168.646,142.3016]]}
+{"canvas_size":[452,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2658","image_path":"images/angle_estimation_2658.png","interior_angles_degrees":[70.753772,59.493107,49.75312],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2658_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2658_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2658_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2658_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2658_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2658,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[55.0,437.735],[397.0,437.735],[182.2517,73.265]]}
+{"canvas_size":[482,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2659","image_path":"images/angle_estimation_2659.png","interior_angles_degrees":[74.322718,47.698321,57.978961],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2659_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2659_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2659_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2659_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2659_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2659,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,398.2181],[427.0,398.2181],[142.6882,85.7819]]}
+{"canvas_size":[456,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2660","image_path":"images/angle_estimation_2660.png","interior_angles_degrees":[45.245075,55.341249,79.413676],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2660_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2660_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2660_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2660_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2660_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2660,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,345.8018],[401.0,345.8018],[258.8522,140.1982]]}
+{"angle_degrees":82.875552,"arc_sweep_degrees":82.875552,"canvas_size":[471,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2661","image_path":"images/angle_estimation_2661.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2661_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_2661_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2661_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"97","question_id":"angle_estimation_2661_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2661_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[142.9204,407.5198],[123.2067,208.2483]],"scene_type":"single","seed":2661,"vertex":[235.5,261.0]}
+{"angle_degrees":44.602542,"arc_sweep_degrees":44.602542,"canvas_size":[493,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2662","image_path":"images/angle_estimation_2662.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2662_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_2662_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2662_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"135","question_id":"angle_estimation_2662_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2662_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[111.1747,298.7912],[121.5245,191.7775]],"scene_type":"single","seed":2662,"vertex":[246.5,240.5]}
+{"angle_degrees":57.552816,"arc_sweep_degrees":57.552816,"canvas_size":[487,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2663","image_path":"images/angle_estimation_2663.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2663_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_2663_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2663_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"122","question_id":"angle_estimation_2663_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2663_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[366.7401,304.3427],[260.4168,372.8441]],"scene_type":"single","seed":2663,"vertex":[243.5,247.5]}
+{"angle_degrees":146.025098,"arc_sweep_degrees":146.025098,"canvas_size":[489,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2664","image_path":"images/angle_estimation_2664.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2664_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_2664_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2664_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"34","question_id":"angle_estimation_2664_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2664_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[343.2729,378.0192],[111.8583,204.3905]],"scene_type":"single","seed":2664,"vertex":[244.5,249.0]}
+{"angle_degrees":89.999957,"arc_sweep_degrees":89.999957,"canvas_size":[493,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2665","image_path":"images/angle_estimation_2665.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"right","question_id":"angle_estimation_2665_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_2665_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"approximately equal to","question_id":"angle_estimation_2665_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"90","question_id":"angle_estimation_2665_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2665_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[90.0376,200.5301],[285.844,149.4452]],"scene_type":"single","seed":2665,"vertex":[246.5,257.5]}
+{"angle_degrees":313.795382,"arc_sweep_degrees":313.795382,"canvas_size":[468,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2666","image_path":"images/angle_estimation_2666.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2666_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_2666_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2666_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"134","question_id":"angle_estimation_2666_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2666_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[245.4232,106.9631],[127.9419,135.7857]],"scene_type":"single","seed":2666,"vertex":[234.0,254.5]}
+{"angle_degrees":28.597501,"arc_sweep_degrees":28.597501,"canvas_size":[457,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2667","image_path":"images/angle_estimation_2667.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2667_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2667_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2667_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"151","question_id":"angle_estimation_2667_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2667_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[80.9538,229.3215],[136.0626,180.253]],"scene_type":"single","seed":2667,"vertex":[228.5,237.5]}
+{"angle_degrees":210.275667,"arc_sweep_degrees":210.275667,"canvas_size":[469,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2668","image_path":"images/angle_estimation_2668.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2668_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_2668_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2668_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"30","question_id":"angle_estimation_2668_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2668_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[363.5254,277.2872],[125.4488,128.138]],"scene_type":"single","seed":2668,"vertex":[234.5,241.0]}
+{"angle_1_degrees":120.024085,"angle_2_degrees":64.642398,"angles":[{"angle_degrees":120.024085,"arc_sweep_degrees":120.024085,"ray_endpoints":[[199.1221,228.2221],[125.1424,381.9009]],"vertex":[126.09,269.61]},{"angle_degrees":64.642398,"arc_sweep_degrees":64.642398,"ray_endpoints":[[250.1112,275.7999],[288.7982,176.5863]],"vertex":[340.91,269.61]}],"canvas_size":[467,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2669","image_path":"images/angle_estimation_2669.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2669_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2669_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2669_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2669_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2669_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2669}
+{"angle_1_degrees":143.979352,"angle_2_degrees":64.012047,"angles":[{"angle_degrees":143.979352,"arc_sweep_degrees":143.979352,"ray_endpoints":[[39.4506,343.27],[171.9015,162.2777]],"vertex":[131.76,278.73]},{"angle_degrees":64.012047,"arc_sweep_degrees":64.012047,"ray_endpoints":[[460.4203,278.8942],[413.7241,397.1262]],"vertex":[356.24,278.73]}],"canvas_size":[488,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2670","image_path":"images/angle_estimation_2670.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2670_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2670_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2670_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2670_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2670_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2670}
+{"angle_1_degrees":30.883418,"angle_2_degrees":60.188992,"angles":[{"angle_degrees":30.883418,"arc_sweep_degrees":30.883418,"ray_endpoints":[[123.3297,174.4876],[197.2328,146.5398]],"vertex":[123.39,270.18]},{"angle_degrees":60.188992,"arc_sweep_degrees":60.188992,"ray_endpoints":[[242.6049,212.4675],[339.2304,144.989]],"vertex":[333.61,270.18]}],"canvas_size":[457,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2671","image_path":"images/angle_estimation_2671.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2671_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2671_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2671_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2671_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2671_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2671}
+{"angle_1_degrees":45.845916,"angle_2_degrees":133.591015,"angles":[{"angle_degrees":45.845916,"arc_sweep_degrees":45.845916,"ray_endpoints":[[112.1955,358.8582],[35.3584,334.0756]],"vertex":[127.44,271.32]},{"angle_degrees":133.591015,"arc_sweep_degrees":133.591015,"ray_endpoints":[[453.5206,249.1705],[282.3305,370.5204]],"vertex":[344.56,271.32]}],"canvas_size":[472,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2672","image_path":"images/angle_estimation_2672.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2672_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2672_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2672_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2672_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2672_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2672}
+{"angle_1_degrees":100.168198,"angle_2_degrees":24.777395,"angles":[{"angle_degrees":100.168198,"arc_sweep_degrees":100.168198,"ray_endpoints":[[202.4593,363.0572],[14.1262,349.0918]],"vertex":[125.01,278.73]},{"angle_degrees":24.777395,"arc_sweep_degrees":24.777395,"ray_endpoints":[[279.078,185.5336],[320.1652,143.7143]],"vertex":[337.99,278.73]}],"canvas_size":[463,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2673","image_path":"images/angle_estimation_2673.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2673_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2673_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2673_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2673_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2673_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2673}
+{"angle_1_degrees":58.576024,"angle_2_degrees":19.296554,"angles":[{"angle_degrees":58.576024,"arc_sweep_degrees":58.576024,"ray_endpoints":[[211.3749,238.8877],[221.6804,344.4785]],"vertex":[134.46,257.64]},{"angle_degrees":19.296554,"arc_sweep_degrees":19.296554,"ray_endpoints":[[423.0835,168.6042],[457.1026,187.3134]],"vertex":[363.54,257.64]}],"canvas_size":[498,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2674","image_path":"images/angle_estimation_2674.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2674_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2674_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2674_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2674_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2674_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2674}
+{"angle_1_degrees":152.615267,"angle_2_degrees":20.892959,"angles":[{"angle_degrees":152.615267,"arc_sweep_degrees":152.615267,"ray_endpoints":[[107.7783,357.3578],[96.857,119.0088]],"vertex":[131.49,257.07]},{"angle_degrees":20.892959,"arc_sweep_degrees":20.892959,"ray_endpoints":[[357.4638,144.2641],[401.9476,141.4667]],"vertex":[355.51,257.07]}],"canvas_size":[487,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2675","image_path":"images/angle_estimation_2675.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2675_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2675_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_2675_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2675_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2675_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2675}
+{"canvas_size":[466,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2676","image_path":"images/angle_estimation_2676.png","interior_angles_degrees":[90.642059,46.710972,42.646968],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2676_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2676_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2676_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2676_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2676_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2676,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[59.2352,443.9615],[411.0,443.9615],[55.0,66.0385]]}
+{"canvas_size":[465,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2677","image_path":"images/angle_estimation_2677.png","interior_angles_degrees":[90.391911,34.429155,55.178933],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2677_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2677_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2677_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2677_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2677_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2677,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.6645,383.1695],[410.0,383.1695],[55.0,139.8305]]}
+{"canvas_size":[457,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2678","image_path":"images/angle_estimation_2678.png","interior_angles_degrees":[90.75782,41.149714,48.092466],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2678_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2678_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2678_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2678_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2678_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2678,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[59.011,409.119],[402.0,409.119],[55.0,105.881]]}
+{"canvas_size":[485,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2679","image_path":"images/angle_estimation_2679.png","interior_angles_degrees":[89.53466,27.666595,62.798745],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2679_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2679_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2679_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2679_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2679_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2679,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,355.8835],[430.0,355.8835],[56.59,160.1165]]}
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+{"angle_1_degrees":28.26193,"angle_2_degrees":161.205128,"angles":[{"angle_degrees":28.26193,"arc_sweep_degrees":28.26193,"ray_endpoints":[[37.1129,318.2913],[12.8876,269.3143]],"vertex":[127.44,261.63]},{"angle_degrees":161.205128,"arc_sweep_degrees":161.205128,"ray_endpoints":[[297.3457,162.4446],[421.4837,340.5936]],"vertex":[344.56,261.63]}],"canvas_size":[472,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2691","image_path":"images/angle_estimation_2691.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2691_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2691_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_2691_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2691_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2691_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2691}
+{"angle_1_degrees":89.762824,"angle_2_degrees":112.767505,"angles":[{"angle_degrees":89.762824,"arc_sweep_degrees":89.762824,"ray_endpoints":[[186.1762,351.4451],[22.5833,347.5198]],"vertex":[125.82,270.18]},{"angle_degrees":112.767505,"arc_sweep_degrees":112.767505,"ray_endpoints":[[411.768,206.2835],[385.9944,403.3609]],"vertex":[340.18,270.18]}],"canvas_size":[466,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2692","image_path":"images/angle_estimation_2692.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2692_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2692_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2692_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2692_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2692_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2692}
+{"angle_1_degrees":49.875029,"angle_2_degrees":40.221812,"angles":[{"angle_degrees":49.875029,"arc_sweep_degrees":49.875029,"ray_endpoints":[[209.6354,302.0804],[159.7289,375.313]],"vertex":[133.65,263.34]},{"angle_degrees":40.221812,"arc_sweep_degrees":40.221812,"ray_endpoints":[[430.5567,354.4244],[355.3148,378.7322]],"vertex":[361.35,263.34]}],"canvas_size":[495,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2693","image_path":"images/angle_estimation_2693.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2693_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2693_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2693_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2693_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2693_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2693}
+{"angle_1_degrees":125.809833,"angle_2_degrees":48.635919,"angles":[{"angle_degrees":125.809833,"arc_sweep_degrees":125.809833,"ray_endpoints":[[125.4122,355.6456],[15.8405,193.8977]],"vertex":[126.63,276.45]},{"angle_degrees":48.635919,"arc_sweep_degrees":48.635919,"ray_endpoints":[[334.6824,174.7632],[426.962,189.8033]],"vertex":[342.37,276.45]}],"canvas_size":[469,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2694","image_path":"images/angle_estimation_2694.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2694_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2694_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2694_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2694_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2694_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2694}
+{"angle_1_degrees":157.821441,"angle_2_degrees":56.565762,"angles":[{"angle_degrees":157.821441,"arc_sweep_degrees":157.821441,"ray_endpoints":[[173.0901,172.9395],[136.4741,418.4647]],"vertex":[133.11,278.16]},{"angle_degrees":56.565762,"arc_sweep_degrees":56.565762,"ray_endpoints":[[411.5868,180.3061],[479.254,266.4847]],"vertex":[359.89,278.16]}],"canvas_size":[493,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2695","image_path":"images/angle_estimation_2695.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2695_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2695_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2695_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2695_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2695_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2695}
+{"canvas_size":[489,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2696","image_path":"images/angle_estimation_2696.png","interior_angles_degrees":[134.310267,17.091157,28.598575],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2696_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2696_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2696_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2696_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2696_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2696,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[168.7592,321.7658],[434.0,321.7658],[55.0,205.2342]]}
+{"canvas_size":[497,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2697","image_path":"images/angle_estimation_2697.png","interior_angles_degrees":[102.372455,29.602082,48.025463],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2697_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2697_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2697_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2697_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2697_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2697,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[103.2297,370.9326],[442.0,370.9326],[55.0,151.0674]]}
+{"canvas_size":[464,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2698","image_path":"images/angle_estimation_2698.png","interior_angles_degrees":[131.912834,17.481689,30.605477],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2698_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2698_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2698_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2698_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2698_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2698,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[155.0806,314.7457],[409.0,314.7457],[55.0,203.2543]]}
+{"canvas_size":[483,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2699","image_path":"images/angle_estimation_2699.png","interior_angles_degrees":[123.126312,32.750015,24.123673],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2699_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2699_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2699_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2699_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2699_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2699,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[211.5601,372.9609],[428.0,372.9609],[55.0,133.0391]]}
+{"canvas_size":[465,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2700","image_path":"images/angle_estimation_2700.png","interior_angles_degrees":[98.619733,41.664237,39.71603],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2700_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2700_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2700_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2700_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2700_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2700,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[102.8861,419.4481],[410.0,419.4481],[55.0,103.5519]]}
+{"angle_degrees":162.484311,"arc_sweep_degrees":162.484311,"canvas_size":[481,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2701","image_path":"images/angle_estimation_2701.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2701_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_2701_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2701_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"18","question_id":"angle_estimation_2701_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2701_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[395.8887,229.8188],[97.3412,332.3941]],"scene_type":"single","seed":2701,"vertex":[240.5,257.5]}
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+{"angle_degrees":163.732613,"arc_sweep_degrees":163.732613,"canvas_size":[476,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2703","image_path":"images/angle_estimation_2703.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2703_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_2703_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2703_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"16","question_id":"angle_estimation_2703_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2703_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[365.337,240.717],[108.3185,296.1723]],"scene_type":"single","seed":2703,"vertex":[238.0,249.0]}
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+{"angle_1_degrees":33.702773,"angle_2_degrees":139.295989,"angles":[{"angle_degrees":33.702773,"arc_sweep_degrees":33.702773,"ray_endpoints":[[101.7448,366.2456],[20.1985,359.3587]],"vertex":[130.14,265.05]},{"angle_degrees":139.295989,"arc_sweep_degrees":139.295989,"ray_endpoints":[[371.3193,371.5661],[259.9468,190.7718]],"vertex":[351.86,265.05]}],"canvas_size":[482,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2710","image_path":"images/angle_estimation_2710.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2710_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2710_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_2710_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2710_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2710_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2710}
+{"angle_1_degrees":106.891067,"angle_2_degrees":159.9138,"angles":[{"angle_degrees":106.891067,"arc_sweep_degrees":106.891067,"ray_endpoints":[[203.5385,314.5779],[40.8189,344.7578]],"vertex":[125.82,267.9]},{"angle_degrees":159.9138,"arc_sweep_degrees":159.9138,"ray_endpoints":[[339.5989,181.2495],[387.1004,393.592]],"vertex":[340.18,267.9]}],"canvas_size":[466,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2711","image_path":"images/angle_estimation_2711.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2711_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2711_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2711_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2711_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2711_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2711}
+{"angle_1_degrees":57.117667,"angle_2_degrees":20.533765,"angles":[{"angle_degrees":57.117667,"arc_sweep_degrees":57.117667,"ray_endpoints":[[59.6769,200.0212],[149.541,155.9761]],"vertex":[126.09,266.19]},{"angle_degrees":20.533765,"arc_sweep_degrees":20.533765,"ray_endpoints":[[307.8357,169.4613],[344.406,145.3203]],"vertex":[340.91,266.19]}],"canvas_size":[467,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2712","image_path":"images/angle_estimation_2712.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2712_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2712_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2712_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2712_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2712_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2712}
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+{"angle_1_degrees":116.80246,"angle_2_degrees":16.757155,"angles":[{"angle_degrees":116.80246,"arc_sweep_degrees":116.80246,"ray_endpoints":[[144.1412,181.3078],[226.9815,349.7217]],"vertex":[129.06,279.87]},{"angle_degrees":16.757155,"arc_sweep_degrees":16.757155,"ray_endpoints":[[368.7842,369.0701],[339.7007,405.2387]],"vertex":[348.94,279.87]}],"canvas_size":[478,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2714","image_path":"images/angle_estimation_2714.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2714_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2714_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2714_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2714_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2714_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2714}
+{"angle_1_degrees":55.452354,"angle_2_degrees":25.071244,"angles":[{"angle_degrees":55.452354,"arc_sweep_degrees":55.452354,"ray_endpoints":[[79.8998,215.2127],[155.3296,166.4874]],"vertex":[133.38,271.32]},{"angle_degrees":25.071244,"arc_sweep_degrees":25.071244,"ray_endpoints":[[347.9966,164.5186],[404.6364,138.4635]],"vertex":[360.62,271.32]}],"canvas_size":[494,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2715","image_path":"images/angle_estimation_2715.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2715_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2715_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2715_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2715_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2715_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2715}
+{"canvas_size":[450,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2716","image_path":"images/angle_estimation_2716.png","interior_angles_degrees":[58.75335,77.261202,43.985449],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2716_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2716_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2716_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2716_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2716_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2716,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[66.3504,446.0],[383.6496,446.0],[297.5164,65.0]]}
+{"canvas_size":[489,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2717","image_path":"images/angle_estimation_2717.png","interior_angles_degrees":[58.976907,74.874157,46.148936],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2717_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2717_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2717_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2717_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2717_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2717,"smallest_angle_vertex":"C","triangle_class":"acute","triangle_vertices":[[85.4122,430.0],[403.5878,430.0],[304.9266,65.0]]}
+{"canvas_size":[463,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2718","image_path":"images/angle_estimation_2718.png","interior_angles_degrees":[63.690183,34.963857,81.345961],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2718_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2718_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2718_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2718_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2718_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2718,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,331.7116],[408.0,331.7116],[145.6925,148.2884]]}
+{"canvas_size":[491,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2719","image_path":"images/angle_estimation_2719.png","interior_angles_degrees":[57.325793,56.686854,65.987353],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2719_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2719_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2719_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2719_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2719_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2719,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,404.2011],[436.0,404.2011],[243.1744,110.7989]]}
+{"canvas_size":[462,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2720","image_path":"images/angle_estimation_2720.png","interior_angles_degrees":[54.176358,40.662597,85.161046],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2720_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2720_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2720_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2720_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2720_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2720,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,338.3195],[407.0,338.3195],[189.7254,151.6805]]}
+{"angle_degrees":205.769399,"arc_sweep_degrees":205.769399,"canvas_size":[484,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2721","image_path":"images/angle_estimation_2721.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2721_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_2721_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2721_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"26","question_id":"angle_estimation_2721_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2721_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[385.9617,169.8741],[122.9495,260.1872]],"scene_type":"single","seed":2721,"vertex":[242.0,252.0]}
+{"angle_degrees":237.150748,"arc_sweep_degrees":237.150748,"canvas_size":[469,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2722","image_path":"images/angle_estimation_2722.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2722_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"240","question_id":"angle_estimation_2722_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2722_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"57","question_id":"angle_estimation_2722_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2722_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[366.1518,221.3652],[153.4521,163.7988]],"scene_type":"single","seed":2722,"vertex":[234.5,247.5]}
+{"angle_degrees":159.860876,"arc_sweep_degrees":159.860876,"canvas_size":[493,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2723","image_path":"images/angle_estimation_2723.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2723_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_2723_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2723_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"20","question_id":"angle_estimation_2723_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2723_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[109.7167,177.656],[396.476,252.4006]],"scene_type":"single","seed":2723,"vertex":[246.5,240.5]}
+{"angle_degrees":232.147193,"arc_sweep_degrees":232.147193,"canvas_size":[493,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2724","image_path":"images/angle_estimation_2724.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2724_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2724_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2724_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"52","question_id":"angle_estimation_2724_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2724_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[90.7853,237.9996],[309.2266,374.7404]],"scene_type":"single","seed":2724,"vertex":[246.5,262.0]}
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+{"angle_degrees":130.640551,"arc_sweep_degrees":130.640551,"canvas_size":[460,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2726","image_path":"images/angle_estimation_2726.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2726_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2726_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2726_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"49","question_id":"angle_estimation_2726_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2726_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[133.8761,329.5138],[222.8427,105.683]],"scene_type":"single","seed":2726,"vertex":[230.0,237.5]}
+{"angle_degrees":162.106075,"arc_sweep_degrees":162.106075,"canvas_size":[468,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2727","image_path":"images/angle_estimation_2727.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2727_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_2727_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2727_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"18","question_id":"angle_estimation_2727_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2727_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[360.7015,259.7131],[108.8875,282.1012]],"scene_type":"single","seed":2727,"vertex":[234.0,251.0]}
+{"angle_degrees":116.627784,"arc_sweep_degrees":116.627784,"canvas_size":[452,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2728","image_path":"images/angle_estimation_2728.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2728_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"120","question_id":"angle_estimation_2728_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2728_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"63","question_id":"angle_estimation_2728_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2728_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[173.4384,403.2543],[116.5084,140.2443]],"scene_type":"single","seed":2728,"vertex":[226.0,253.5]}
+{"angle_1_degrees":147.597733,"angle_2_degrees":33.049468,"angles":[{"angle_degrees":147.597733,"arc_sweep_degrees":147.597733,"ray_endpoints":[[201.7094,209.1967],[70.4124,385.1459]],"vertex":[123.66,262.2]},{"angle_degrees":33.049468,"arc_sweep_degrees":33.049468,"ray_endpoints":[[292.2632,188.6297],[341.5062,137.2738]],"vertex":[334.34,262.2]}],"canvas_size":[458,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2729","image_path":"images/angle_estimation_2729.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2729_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2729_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_2729_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2729_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2729_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2729}
+{"angle_1_degrees":68.419922,"angle_2_degrees":91.94171,"angles":[{"angle_degrees":68.419922,"arc_sweep_degrees":68.419922,"ray_endpoints":[[45.6926,294.2307],[38.799,166.4102]],"vertex":[121.77,271.32]},{"angle_degrees":91.94171,"arc_sweep_degrees":91.94171,"ray_endpoints":[[423.3056,334.7537],[251.6842,378.316]],"vertex":[329.23,271.32]}],"canvas_size":[451,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2730","image_path":"images/angle_estimation_2730.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2730_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2730_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2730_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2730_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2730_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2730}
+{"angle_1_degrees":70.689432,"angle_2_degrees":26.674346,"angles":[{"angle_degrees":70.689432,"arc_sweep_degrees":70.689432,"ray_endpoints":[[207.8708,259.6975],[217.6543,394.7451]],"vertex":[132.84,284.43]},{"angle_degrees":26.674346,"arc_sweep_degrees":26.674346,"ray_endpoints":[[328.1082,361.6037],[266.3682,366.259]],"vertex":[359.16,284.43]}],"canvas_size":[492,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2731","image_path":"images/angle_estimation_2731.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2731_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2731_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2731_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2731_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2731_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2731}
+{"angle_1_degrees":62.738036,"angle_2_degrees":113.205875,"angles":[{"angle_degrees":62.738036,"arc_sweep_degrees":62.738036,"ray_endpoints":[[218.1638,286.8269],[181.9583,399.0049]],"vertex":[133.92,278.73]},{"angle_degrees":113.205875,"arc_sweep_degrees":113.205875,"ray_endpoints":[[443.6126,210.8076],[394.4579,387.4032]],"vertex":[362.08,278.73]}],"canvas_size":[496,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2732","image_path":"images/angle_estimation_2732.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2732_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2732_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2732_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2732_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2732_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2732}
+{"angle_1_degrees":65.143703,"angle_2_degrees":151.411911,"angles":[{"angle_degrees":65.143703,"arc_sweep_degrees":65.143703,"ray_endpoints":[[229.4476,291.6778],[145.7585,369.042]],"vertex":[133.92,259.35]},{"angle_degrees":151.411911,"arc_sweep_degrees":151.411911,"ray_endpoints":[[395.34,174.0144],[379.9614,399.043]],"vertex":[362.08,259.35]}],"canvas_size":[496,455],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2733","image_path":"images/angle_estimation_2733.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2733_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2733_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2733_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2733_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2733_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2733}
+{"angle_1_degrees":77.380832,"angle_2_degrees":24.696639,"angles":[{"angle_degrees":77.380832,"arc_sweep_degrees":77.380832,"ray_endpoints":[[181.9957,336.8461],[42.1991,363.7487]],"vertex":[121.5,262.77]},{"angle_degrees":24.696639,"arc_sweep_degrees":24.696639,"ray_endpoints":[[323.8273,351.2427],[268.3111,377.3162]],"vertex":[328.5,262.77]}],"canvas_size":[450,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2734","image_path":"images/angle_estimation_2734.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2734_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2734_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2734_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2734_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2734_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2734}
+{"angle_1_degrees":127.593151,"angle_2_degrees":59.270776,"angles":[{"angle_degrees":127.593151,"arc_sweep_degrees":127.593151,"ray_endpoints":[[38.6181,300.7622],[153.6147,122.5886]],"vertex":[125.82,258.21]},{"angle_degrees":59.270776,"arc_sweep_degrees":59.270776,"ray_endpoints":[[270.125,177.7935],[375.8422,149.8063]],"vertex":[340.18,258.21]}],"canvas_size":[466,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2735","image_path":"images/angle_estimation_2735.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2735_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2735_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2735_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2735_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2735_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2735}
+{"canvas_size":[453,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2736","image_path":"images/angle_estimation_2736.png","interior_angles_degrees":[90.890509,30.957713,58.151778],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2736_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2736_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2736_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2736_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2736_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2736,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[58.1981,356.3754],[398.0,356.3754],[55.0,150.6246]]}
+{"canvas_size":[472,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2737","image_path":"images/angle_estimation_2737.png","interior_angles_degrees":[89.091197,38.273217,52.635587],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2737_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2737_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2737_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2737_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2737_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2737,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,399.0426],[417.0,399.0426],[59.4747,116.9574]]}
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+{"angle_degrees":29.74707,"arc_sweep_degrees":29.74707,"canvas_size":[462,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2743","image_path":"images/angle_estimation_2743.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2743_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2743_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2743_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"150","question_id":"angle_estimation_2743_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2743_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[116.4347,301.3267],[95.2697,236.542]],"scene_type":"single","seed":2743,"vertex":[231.0,245.0]}
+{"angle_degrees":103.622815,"arc_sweep_degrees":103.622815,"canvas_size":[471,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2744","image_path":"images/angle_estimation_2744.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2744_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_2744_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2744_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"76","question_id":"angle_estimation_2744_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2744_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[229.4347,93.4597],[339.6651,277.1657]],"scene_type":"single","seed":2744,"vertex":[235.5,256.0]}
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+{"angle_1_degrees":146.952552,"angle_2_degrees":65.020717,"angles":[{"angle_degrees":146.952552,"arc_sweep_degrees":146.952552,"ray_endpoints":[[53.9879,308.0208],[188.5813,157.3382]],"vertex":[123.66,271.89]},{"angle_degrees":65.020717,"arc_sweep_degrees":65.020717,"ray_endpoints":[[435.9606,244.5376],[425.4836,380.3411]],"vertex":[334.34,271.89]}],"canvas_size":[458,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2749","image_path":"images/angle_estimation_2749.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2749_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2749_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2749_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2749_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2749_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2749}
+{"angle_1_degrees":78.111328,"angle_2_degrees":20.016,"angles":[{"angle_degrees":78.111328,"arc_sweep_degrees":78.111328,"ray_endpoints":[[38.1562,319.6352],[38.6494,164.9674]],"vertex":[123.93,280.44]},{"angle_degrees":20.016,"arc_sweep_degrees":20.016,"ray_endpoints":[[431.7112,323.3223],[412.8662,355.4205]],"vertex":[335.07,280.44]}],"canvas_size":[459,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2750","image_path":"images/angle_estimation_2750.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2750_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2750_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2750_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2750_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2750_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2750}
+{"angle_1_degrees":36.546876,"angle_2_degrees":143.633128,"angles":[{"angle_degrees":36.546876,"arc_sweep_degrees":36.546876,"ray_endpoints":[[82.9475,361.0121],[20.1828,318.0314]],"vertex":[132.84,260.49]},{"angle_degrees":143.633128,"arc_sweep_degrees":143.633128,"ray_endpoints":[[454.0958,209.6848],[304.7098,374.7523]],"vertex":[359.16,260.49]}],"canvas_size":[492,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2751","image_path":"images/angle_estimation_2751.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2751_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2751_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_2751_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2751_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2751_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2751}
+{"angle_1_degrees":26.834793,"angle_2_degrees":37.488628,"angles":[{"angle_degrees":26.834793,"arc_sweep_degrees":26.834793,"ray_endpoints":[[25.6736,298.1294],[26.7518,247.7524]],"vertex":[131.76,276.45]},{"angle_degrees":37.488628,"arc_sweep_degrees":37.488628,"ray_endpoints":[[461.0119,263.066],[448.73,330.2996]],"vertex":[356.24,276.45]}],"canvas_size":[488,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2752","image_path":"images/angle_estimation_2752.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2752_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2752_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2752_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2752_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2752_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2752}
+{"angle_1_degrees":24.541676,"angle_2_degrees":57.243167,"angles":[{"angle_degrees":24.541676,"arc_sweep_degrees":24.541676,"ray_endpoints":[[181.448,327.7583],[164.5472,382.9863]],"vertex":[125.01,268.47]},{"angle_degrees":57.243167,"arc_sweep_degrees":57.243167,"ray_endpoints":[[424.2012,246.1563],[418.2811,342.6435]],"vertex":[337.99,268.47]}],"canvas_size":[463,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2753","image_path":"images/angle_estimation_2753.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2753_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2753_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2753_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2753_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2753_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2753}
+{"angle_1_degrees":40.748167,"angle_2_degrees":136.368229,"angles":[{"angle_degrees":40.748167,"arc_sweep_degrees":40.748167,"ray_endpoints":[[91.5235,161.3866],[169.8767,164.5925]],"vertex":[131.49,268.47]},{"angle_degrees":136.368229,"arc_sweep_degrees":136.368229,"ray_endpoints":[[295.1712,342.3508],[346.2887,148.4394]],"vertex":[355.51,268.47]}],"canvas_size":[487,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2754","image_path":"images/angle_estimation_2754.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2754_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2754_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2754_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2754_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2754_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2754}
+{"angle_1_degrees":152.173863,"angle_2_degrees":119.651912,"angles":[{"angle_degrees":152.173863,"arc_sweep_degrees":152.173863,"ray_endpoints":[[103.4862,180.0583],[217.4776,353.8568]],"vertex":[133.92,273.03]},{"angle_degrees":119.651912,"arc_sweep_degrees":119.651912,"ray_endpoints":[[297.2963,313.7216],[356.1899,137.1244]],"vertex":[362.08,273.03]}],"canvas_size":[496,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2755","image_path":"images/angle_estimation_2755.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2755_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2755_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2755_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2755_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2755_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2755}
+{"canvas_size":[481,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2756","image_path":"images/angle_estimation_2756.png","interior_angles_degrees":[123.506354,24.882607,31.611039],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2756_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2756_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2756_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2756_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2756_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2756,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[168.9218,327.5378],[426.0,327.5378],[55.0,155.4622]]}
+{"canvas_size":[472,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2757","image_path":"images/angle_estimation_2757.png","interior_angles_degrees":[122.354898,22.82238,34.822722],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2757_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2757_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2757_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2757_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2757_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2757,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[151.508,327.6686],[417.0,327.6686],[55.0,175.3314]]}
+{"canvas_size":[469,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2758","image_path":"images/angle_estimation_2758.png","interior_angles_degrees":[103.396862,37.626037,38.977102],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2758_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2758_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2758_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2758_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2758_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2758,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[120.9097,399.3636],[414.0,399.3636],[55.0,122.6364]]}
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+{"angle_1_degrees":28.361164,"angle_2_degrees":158.499797,"angles":[{"angle_degrees":28.361164,"arc_sweep_degrees":28.361164,"ray_endpoints":[[109.3651,367.8152],[53.4395,366.6101]],"vertex":[123.39,273.03]},{"angle_degrees":158.499797,"arc_sweep_degrees":158.499797,"ray_endpoints":[[363.1031,346.1974],[245.8052,180.3545]],"vertex":[333.61,273.03]}],"canvas_size":[457,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2770","image_path":"images/angle_estimation_2770.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2770_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2770_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_2770_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2770_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2770_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2770}
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+{"angle_1_degrees":59.746671,"angle_2_degrees":31.506762,"angles":[{"angle_degrees":59.746671,"arc_sweep_degrees":59.746671,"ray_endpoints":[[116.1297,342.5925],[28.8877,305.2174]],"vertex":[129.06,267.9]},{"angle_degrees":31.506762,"arc_sweep_degrees":31.506762,"ray_endpoints":[[378.5945,338.978],[330.0743,388.9218]],"vertex":[348.94,267.9]}],"canvas_size":[478,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2772","image_path":"images/angle_estimation_2772.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2772_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2772_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2772_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2772_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2772_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2772}
+{"angle_1_degrees":129.236088,"angle_2_degrees":44.955565,"angles":[{"angle_degrees":129.236088,"arc_sweep_degrees":129.236088,"ray_endpoints":[[175.5474,218.0514],[144.3696,391.4467]],"vertex":[124.47,277.02]},{"angle_degrees":44.955565,"arc_sweep_degrees":44.955565,"ray_endpoints":[[334.4173,353.1469],[250.9646,358.0902]],"vertex":[336.53,277.02]}],"canvas_size":[461,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2773","image_path":"images/angle_estimation_2773.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2773_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2773_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2773_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2773_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2773_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2773}
+{"angle_1_degrees":80.783191,"angle_2_degrees":32.635967,"angles":[{"angle_degrees":80.783191,"arc_sweep_degrees":80.783191,"ray_endpoints":[[170.6281,364.4849],[18.8548,362.0178]],"vertex":[131.49,283.29]},{"angle_degrees":32.635967,"arc_sweep_degrees":32.635967,"ray_endpoints":[[262.2788,302.2367],[256.5628,245.013]],"vertex":[355.51,283.29]}],"canvas_size":[487,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2774","image_path":"images/angle_estimation_2774.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2774_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2774_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2774_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2774_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2774_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2774}
+{"angle_1_degrees":40.565795,"angle_2_degrees":60.02889,"angles":[{"angle_degrees":40.565795,"arc_sweep_degrees":40.565795,"ray_endpoints":[[80.4741,171.8091],[159.0412,159.6009]],"vertex":[132.57,272.46]},{"angle_degrees":60.02889,"arc_sweep_degrees":60.02889,"ray_endpoints":[[277.6559,233.3509],[348.3476,133.0261]],"vertex":[358.43,272.46]}],"canvas_size":[491,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2775","image_path":"images/angle_estimation_2775.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2775_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2775_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2775_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2775_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2775_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2775}
+{"canvas_size":[472,463],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2776","image_path":"images/angle_estimation_2776.png","interior_angles_degrees":[44.946527,53.850542,81.202931],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2776_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2776_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2776_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2776_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2776_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2776,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,350.9791],[417.0,350.9791],[264.3486,142.0209]]}
+{"canvas_size":[487,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2777","image_path":"images/angle_estimation_2777.png","interior_angles_degrees":[60.981785,40.344204,78.67401],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2777_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2777_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2777_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2777_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2777_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2777,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,358.3311],[432.0,358.3311],[175.7426,140.6689]]}
+{"canvas_size":[469,465],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2778","image_path":"images/angle_estimation_2778.png","interior_angles_degrees":[45.600496,75.123736,59.275768],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2778_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2778_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2778_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2778_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2778_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2778,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,391.6893],[414.0,391.6893],[337.3963,103.3107]]}
+{"canvas_size":[495,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2779","image_path":"images/angle_estimation_2779.png","interior_angles_degrees":[72.233498,46.933544,60.832958],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2779_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2779_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2779_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2779_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2779_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2779,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,416.8735],[440.0,416.8735],[153.2879,110.1265]]}
+{"canvas_size":[486,494],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2780","image_path":"images/angle_estimation_2780.png","interior_angles_degrees":[51.855399,63.927357,64.217243],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2780_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2780_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2780_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2780_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2780_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2780,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,409.4902],[431.0,409.4902],[286.6652,114.5098]]}
+{"angle_degrees":109.695133,"arc_sweep_degrees":109.695133,"canvas_size":[467,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2781","image_path":"images/angle_estimation_2781.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2781_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_2781_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2781_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"70","question_id":"angle_estimation_2781_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2781_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[176.4338,95.5231],[358.6464,259.3682]],"scene_type":"single","seed":2781,"vertex":[233.5,258.5]}
+{"angle_degrees":314.760807,"arc_sweep_degrees":314.760807,"canvas_size":[471,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2782","image_path":"images/angle_estimation_2782.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2782_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_2782_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2782_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"135","question_id":"angle_estimation_2782_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2782_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[73.9683,193.2126],[136.0893,299.9]],"scene_type":"single","seed":2782,"vertex":[235.5,255.0]}
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+{"angle_1_degrees":12.771753,"angle_2_degrees":141.145782,"angles":[{"angle_degrees":12.771753,"arc_sweep_degrees":12.771753,"ray_endpoints":[[61.2539,210.9264],[73.5921,188.2298]],"vertex":[122.58,285.0]},{"angle_degrees":141.145782,"arc_sweep_degrees":141.145782,"ray_endpoints":[[267.2795,201.7314],[439.3368,310.9868]],"vertex":[331.42,285.0]}],"canvas_size":[454,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2790","image_path":"images/angle_estimation_2790.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2790_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2790_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_2790_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2790_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2790_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2790}
+{"angle_1_degrees":72.323392,"angle_2_degrees":25.149634,"angles":[{"angle_degrees":72.323392,"arc_sweep_degrees":72.323392,"ray_endpoints":[[92.6369,197.2598],[221.6208,191.5308]],"vertex":[133.65,278.16]},{"angle_degrees":25.149634,"arc_sweep_degrees":25.149634,"ray_endpoints":[[459.2723,278.3465],[479.9022,334.095]],"vertex":[361.35,278.16]}],"canvas_size":[495,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2791","image_path":"images/angle_estimation_2791.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2791_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2791_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2791_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2791_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2791_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2791}
+{"angle_1_degrees":139.844181,"angle_2_degrees":46.074262,"angles":[{"angle_degrees":139.844181,"arc_sweep_degrees":139.844181,"ray_endpoints":[[133.7835,354.8911],[21.3851,169.6992]],"vertex":[123.66,266.19]},{"angle_degrees":46.074262,"arc_sweep_degrees":46.074262,"ray_endpoints":[[253.1143,186.5613],[335.5536,128.6206]],"vertex":[334.34,266.19]}],"canvas_size":[458,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2792","image_path":"images/angle_estimation_2792.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2792_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2792_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2792_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2792_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2792_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2792}
+{"angle_1_degrees":95.033037,"angle_2_degrees":36.701165,"angles":[{"angle_degrees":95.033037,"arc_sweep_degrees":95.033037,"ray_endpoints":[[18.9309,295.5245],[110.8706,141.6135]],"vertex":[122.31,277.59]},{"angle_degrees":36.701165,"arc_sweep_degrees":36.701165,"ray_endpoints":[[431.8697,331.0744],[388.1763,398.4514]],"vertex":[330.69,277.59]}],"canvas_size":[453,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2793","image_path":"images/angle_estimation_2793.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2793_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2793_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"60","question_id":"angle_estimation_2793_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2793_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2793_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2793}
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+{"angle_1_degrees":134.778069,"angle_2_degrees":54.260134,"angles":[{"angle_degrees":134.778069,"arc_sweep_degrees":134.778069,"ray_endpoints":[[233.0406,310.312],[22.7579,317.8054]],"vertex":[132.84,270.18]},{"angle_degrees":54.260134,"arc_sweep_degrees":54.260134,"ray_endpoints":[[344.1499,190.5489],[447.7189,177.1365]],"vertex":[359.16,270.18]}],"canvas_size":[492,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2795","image_path":"images/angle_estimation_2795.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2795_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2795_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2795_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2795_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2795_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2795}
+{"canvas_size":[465,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2796","image_path":"images/angle_estimation_2796.png","interior_angles_degrees":[90.933512,53.35146,35.715028],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2796_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2796_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2796_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2796_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2796_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2796,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[95.2013,451.0],[376.0883,451.0],[88.9117,65.0]]}
+{"canvas_size":[489,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2797","image_path":"images/angle_estimation_2797.png","interior_angles_degrees":[90.37794,35.371375,54.250686],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2797_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2797_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2797_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2797_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2797_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2797,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.7748,397.5282],[434.0,397.5282],[55.0,128.4718]]}
+{"canvas_size":[495,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2798","image_path":"images/angle_estimation_2798.png","interior_angles_degrees":[90.56186,32.645587,56.792553],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2798_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2798_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2798_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2798_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2798_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2798,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[57.4188,369.3248],[440.0,369.3248],[55.0,122.6752]]}
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+{"angle_degrees":132.041897,"arc_sweep_degrees":132.041897,"canvas_size":[479,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2801","image_path":"images/angle_estimation_2801.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2801_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2801_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2801_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"48","question_id":"angle_estimation_2801_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2801_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[195.3102,376.3638],[169.2836,117.5785]],"scene_type":"single","seed":2801,"vertex":[239.5,238.0]}
+{"angle_degrees":223.412321,"arc_sweep_degrees":223.412321,"canvas_size":[470,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2802","image_path":"images/angle_estimation_2802.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2802_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2802_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2802_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"43","question_id":"angle_estimation_2802_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2802_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[291.4719,132.6884],[80.8329,302.4082]],"scene_type":"single","seed":2802,"vertex":[235.0,246.0]}
+{"angle_degrees":36.406689,"arc_sweep_degrees":36.406689,"canvas_size":[496,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2803","image_path":"images/angle_estimation_2803.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2803_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2803_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2803_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"144","question_id":"angle_estimation_2803_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2803_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[159.0503,108.0332],[254.9694,138.4454]],"scene_type":"single","seed":2803,"vertex":[248.0,246.5]}
+{"angle_degrees":14.546528,"arc_sweep_degrees":14.546528,"canvas_size":[468,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2804","image_path":"images/angle_estimation_2804.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2804_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_2804_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2804_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"165","question_id":"angle_estimation_2804_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2804_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[106.7738,291.0235],[129.2386,253.71]],"scene_type":"single","seed":2804,"vertex":[234.0,241.0]}
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+{"angle_degrees":247.729301,"arc_sweep_degrees":247.729301,"canvas_size":[485,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2807","image_path":"images/angle_estimation_2807.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2807_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"255","question_id":"angle_estimation_2807_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2807_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"68","question_id":"angle_estimation_2807_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2807_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[213.596,389.2594],[348.2095,216.0175]],"scene_type":"single","seed":2807,"vertex":[242.5,237.5]}
+{"angle_degrees":38.376172,"arc_sweep_degrees":38.376172,"canvas_size":[459,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2808","image_path":"images/angle_estimation_2808.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2808_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_2808_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2808_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"142","question_id":"angle_estimation_2808_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2808_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[157.5731,95.2453],[250.4291,133.8792]],"scene_type":"single","seed":2808,"vertex":[229.5,237.0]}
+{"angle_1_degrees":125.566271,"angle_2_degrees":110.178421,"angles":[{"angle_degrees":125.566271,"arc_sweep_degrees":125.566271,"ray_endpoints":[[51.0872,340.4547],[131.7638,145.6876]],"vertex":[132.84,281.01]},{"angle_degrees":110.178421,"arc_sweep_degrees":110.178421,"ray_endpoints":[[361.7902,194.7107],[461.7366,322.2957]],"vertex":[359.16,281.01]}],"canvas_size":[492,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2809","image_path":"images/angle_estimation_2809.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2809_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2809_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2809_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2809_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2809_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2809}
+{"angle_1_degrees":45.005753,"angle_2_degrees":54.283078,"angles":[{"angle_degrees":45.005753,"arc_sweep_degrees":45.005753,"ray_endpoints":[[38.9852,230.0037],[67.0031,133.3888]],"vertex":[127.98,261.63]},{"angle_degrees":54.283078,"arc_sweep_degrees":54.283078,"ray_endpoints":[[284.6644,168.4386],[390.2109,146.0439]],"vertex":[346.02,261.63]}],"canvas_size":[474,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2810","image_path":"images/angle_estimation_2810.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2810_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2810_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2810_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2810_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2810_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2810}
+{"angle_1_degrees":45.635027,"angle_2_degrees":127.002348,"angles":[{"angle_degrees":45.635027,"arc_sweep_degrees":45.635027,"ray_endpoints":[[185.0658,312.7028],[146.7845,409.7953]],"vertex":[121.77,269.61]},{"angle_degrees":127.002348,"arc_sweep_degrees":127.002348,"ray_endpoints":[[379.9839,186.9178],[373.6906,382.7267]],"vertex":[329.23,269.61]}],"canvas_size":[451,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2811","image_path":"images/angle_estimation_2811.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2811_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2811_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2811_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2811_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2811_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2811}
+{"angle_1_degrees":122.686397,"angle_2_degrees":79.150861,"angles":[{"angle_degrees":122.686397,"arc_sweep_degrees":122.686397,"ray_endpoints":[[61.4431,316.9604],[119.3784,129.7365]],"vertex":[132.57,260.49]},{"angle_degrees":79.150861,"arc_sweep_degrees":79.150861,"ray_endpoints":[[353.6268,172.0698],[466.2626,233.6872]],"vertex":[358.43,260.49]}],"canvas_size":[491,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2812","image_path":"images/angle_estimation_2812.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2812_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2812_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2812_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2812_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2812_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2812}
+{"angle_1_degrees":50.844758,"angle_2_degrees":29.507273,"angles":[{"angle_degrees":50.844758,"arc_sweep_degrees":50.844758,"ray_endpoints":[[151.1696,350.9198],[51.4349,389.9652]],"vertex":[131.22,278.16]},{"angle_degrees":29.507273,"arc_sweep_degrees":29.507273,"ray_endpoints":[[322.9636,374.7735],[260.1239,364.1853]],"vertex":[354.78,278.16]}],"canvas_size":[486,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2813","image_path":"images/angle_estimation_2813.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2813_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2813_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2813_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2813_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2813_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2813}
+{"angle_1_degrees":145.09009,"angle_2_degrees":41.546856,"angles":[{"angle_degrees":145.09009,"arc_sweep_degrees":145.09009,"ray_endpoints":[[173.7387,175.9118],[151.0269,375.6725]],"vertex":[130.95,272.46]},{"angle_degrees":41.546856,"arc_sweep_degrees":41.546856,"ray_endpoints":[[372.0228,192.2527],[464.9174,192.4323]],"vertex":[354.05,272.46]}],"canvas_size":[485,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2814","image_path":"images/angle_estimation_2814.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2814_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2814_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2814_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2814_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2814_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2814}
+{"angle_1_degrees":126.382954,"angle_2_degrees":28.003016,"angles":[{"angle_degrees":126.382954,"arc_sweep_degrees":126.382954,"ray_endpoints":[[184.4603,193.7715],[179.6594,380.4055]],"vertex":[135.0,283.29]},{"angle_degrees":28.003016,"arc_sweep_degrees":28.003016,"ray_endpoints":[[460.5695,250.4718],[482.1029,301.9436]],"vertex":[365.0,283.29]}],"canvas_size":[500,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2815","image_path":"images/angle_estimation_2815.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2815_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2815_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2815_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2815_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2815_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2815}
+{"canvas_size":[478,463],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2816","image_path":"images/angle_estimation_2816.png","interior_angles_degrees":[104.638857,34.037701,41.323442],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2816_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2816_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2816_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2816_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2816_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2816,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[119.9281,370.7858],[423.0,370.7858],[55.0,122.2142]]}
+{"canvas_size":[482,473],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2817","image_path":"images/angle_estimation_2817.png","interior_angles_degrees":[127.934857,19.251096,32.814046],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2817_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2817_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2817_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2817_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2817_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2817,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[156.264,316.4581],[427.0,316.4581],[55.0,186.5419]]}
+{"canvas_size":[454,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2818","image_path":"images/angle_estimation_2818.png","interior_angles_degrees":[99.218348,23.71809,57.063562],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2818_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2818_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2818_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2818_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2818_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2818,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[79.5282,319.0675],[399.0,319.0675],[55.0,167.9325]]}
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+{"angle_degrees":326.276454,"arc_sweep_degrees":326.276454,"canvas_size":[476,458],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2821","image_path":"images/angle_estimation_2821.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2821_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"330","question_id":"angle_estimation_2821_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2821_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"146","question_id":"angle_estimation_2821_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2821_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[109.6692,238.6415],[124.5614,313.7443]],"scene_type":"single","seed":2821,"vertex":[238.0,241.0]}
+{"angle_degrees":190.108831,"arc_sweep_degrees":190.108831,"canvas_size":[475,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2822","image_path":"images/angle_estimation_2822.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2822_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_2822_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2822_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"10","question_id":"angle_estimation_2822_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2822_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[132.051,156.6221],[329.302,372.7919]],"scene_type":"single","seed":2822,"vertex":[237.5,253.0]}
+{"angle_degrees":38.258987,"arc_sweep_degrees":38.258987,"canvas_size":[468,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2823","image_path":"images/angle_estimation_2823.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2823_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"45","question_id":"angle_estimation_2823_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2823_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"142","question_id":"angle_estimation_2823_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2823_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[73.4067,293.993],[126.3081,205.432]],"scene_type":"single","seed":2823,"vertex":[234.0,254.0]}
+{"angle_degrees":164.042767,"arc_sweep_degrees":164.042767,"canvas_size":[462,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2824","image_path":"images/angle_estimation_2824.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2824_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_2824_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2824_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"16","question_id":"angle_estimation_2824_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2824_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[165.4274,95.8795],[304.8728,349.7835]],"scene_type":"single","seed":2824,"vertex":[231.0,256.0]}
+{"angle_degrees":60.000012,"arc_sweep_degrees":60.000012,"canvas_size":[461,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2825","image_path":"images/angle_estimation_2825.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2825_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_2825_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2825_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_2825_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2825_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[189.6719,109.4934],[318.0502,147.0]],"scene_type":"single","seed":2825,"vertex":[230.5,241.5]}
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+{"angle_degrees":139.483163,"arc_sweep_degrees":139.483163,"canvas_size":[457,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2827","image_path":"images/angle_estimation_2827.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2827_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2827_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2827_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"41","question_id":"angle_estimation_2827_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2827_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[351.3617,317.8012],[120.8048,285.1009]],"scene_type":"single","seed":2827,"vertex":[228.5,257.5]}
+{"angle_degrees":10.377946,"arc_sweep_degrees":10.377946,"canvas_size":[477,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2828","image_path":"images/angle_estimation_2828.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2828_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_2828_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2828_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"170","question_id":"angle_estimation_2828_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2828_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[242.8481,91.1457],[268.6023,109.4792]],"scene_type":"single","seed":2828,"vertex":[238.5,252.0]}
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+{"angle_1_degrees":143.917291,"angle_2_degrees":47.445822,"angles":[{"angle_degrees":143.917291,"arc_sweep_degrees":143.917291,"ray_endpoints":[[190.2801,192.8393],[140.06,413.0526]],"vertex":[132.3,283.29]},{"angle_degrees":47.445822,"arc_sweep_degrees":47.445822,"ray_endpoints":[[439.7794,335.3418],[381.3496,415.0882]],"vertex":[357.7,283.29]}],"canvas_size":[490,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2830","image_path":"images/angle_estimation_2830.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2830_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2830_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2830_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2830_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2830_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2830}
+{"angle_1_degrees":31.05026,"angle_2_degrees":11.456923,"angles":[{"angle_degrees":31.05026,"arc_sweep_degrees":31.05026,"ray_endpoints":[[51.3305,258.9876],[34.8473,202.9763]],"vertex":[129.87,257.07]},{"angle_degrees":11.456923,"arc_sweep_degrees":11.456923,"ray_endpoints":[[428.6854,179.4336],[456.3509,187.2329]],"vertex":[351.13,257.07]}],"canvas_size":[481,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2831","image_path":"images/angle_estimation_2831.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2831_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2831_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2831_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2831_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2831_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2831}
+{"angle_1_degrees":37.607833,"angle_2_degrees":50.755864,"angles":[{"angle_degrees":37.607833,"arc_sweep_degrees":37.607833,"ray_endpoints":[[71.2415,187.3203],[133.325,152.4863]],"vertex":[122.31,268.47]},{"angle_degrees":50.755864,"arc_sweep_degrees":50.755864,"ray_endpoints":[[315.9551,171.6414],[425.5186,163.5331]],"vertex":[330.69,268.47]}],"canvas_size":[453,471],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2832","image_path":"images/angle_estimation_2832.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2832_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2832_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2832_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2832_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2832_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2832}
+{"angle_1_degrees":75.591516,"angle_2_degrees":95.816917,"angles":[{"angle_degrees":75.591516,"arc_sweep_degrees":75.591516,"ray_endpoints":[[73.3785,326.9449],[34.7753,203.9939]],"vertex":[134.46,276.45]},{"angle_degrees":95.816917,"arc_sweep_degrees":95.816917,"ray_endpoints":[[449.2535,349.0321],[286.1737,350.9668]],"vertex":[363.54,276.45]}],"canvas_size":[498,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2833","image_path":"images/angle_estimation_2833.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2833_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2833_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2833_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2833_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2833_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2833}
+{"angle_1_degrees":142.369049,"angle_2_degrees":63.987193,"angles":[{"angle_degrees":142.369049,"arc_sweep_degrees":142.369049,"ray_endpoints":[[218.9137,219.0302],[90.2623,420.2234]],"vertex":[129.6,284.43]},{"angle_degrees":63.987193,"arc_sweep_degrees":63.987193,"ray_endpoints":[[450.8353,266.1847],[426.8683,388.4947]],"vertex":[350.4,284.43]}],"canvas_size":[480,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2834","image_path":"images/angle_estimation_2834.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2834_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2834_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2834_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2834_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2834_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2834}
+{"angle_1_degrees":72.324459,"angle_2_degrees":27.161219,"angles":[{"angle_degrees":72.324459,"arc_sweep_degrees":72.324459,"ray_endpoints":[[66.4389,171.0215],[208.6903,168.9521]],"vertex":[125.01,266.19]},{"angle_degrees":27.161219,"arc_sweep_degrees":27.161219,"ray_endpoints":[[296.9565,347.8832],[249.0843,331.1852]],"vertex":[337.99,266.19]}],"canvas_size":[463,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2835","image_path":"images/angle_estimation_2835.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2835_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2835_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2835_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2835_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2835_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2835}
+{"canvas_size":[487,485],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2836","image_path":"images/angle_estimation_2836.png","interior_angles_degrees":[46.357002,52.523568,81.11943],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2836_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2836_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2836_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2836_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2836_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2836,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,367.068],[432.0,367.068],[263.9942,147.932]]}
+{"canvas_size":[469,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2837","image_path":"images/angle_estimation_2837.png","interior_angles_degrees":[70.186984,49.979853,59.833163],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2837_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2837_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2837_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2837_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2837_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2837,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,393.0861],[414.0,393.0861],[162.7854,93.9139]]}
+{"canvas_size":[495,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2838","image_path":"images/angle_estimation_2838.png","interior_angles_degrees":[67.070584,53.300365,59.629051],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2838_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2838_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2838_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2838_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2838_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2838,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,418.7568],[440.0,418.7568],[194.3914,89.2432]]}
+{"canvas_size":[476,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2839","image_path":"images/angle_estimation_2839.png","interior_angles_degrees":[68.546679,52.839013,58.614308],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2839_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2839_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2839_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2839_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2839_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2839,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,412.5007],[421.0,412.5007],[179.9649,94.4993]]}
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+{"angle_degrees":227.360073,"arc_sweep_degrees":227.360073,"canvas_size":[472,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2841","image_path":"images/angle_estimation_2841.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2841_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2841_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2841_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"47","question_id":"angle_estimation_2841_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2841_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[104.2876,215.0859],[293.9436,389.6095]],"scene_type":"single","seed":2841,"vertex":[236.0,259.5]}
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+{"angle_degrees":310.60481,"arc_sweep_degrees":310.60481,"canvas_size":[486,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2843","image_path":"images/angle_estimation_2843.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2843_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"315","question_id":"angle_estimation_2843_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2843_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"131","question_id":"angle_estimation_2843_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2843_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[167.6229,376.0249],[295.005,375.2237]],"scene_type":"single","seed":2843,"vertex":[243.0,238.0]}
+{"angle_degrees":77.936407,"arc_sweep_degrees":77.936407,"canvas_size":[478,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2844","image_path":"images/angle_estimation_2844.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2844_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_2844_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2844_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"102","question_id":"angle_estimation_2844_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2844_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[380.9212,248.5114],[260.7585,383.338]],"scene_type":"single","seed":2844,"vertex":[239.0,240.0]}
+{"angle_degrees":59.99997,"arc_sweep_degrees":59.99997,"canvas_size":[462,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2845","image_path":"images/angle_estimation_2845.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2845_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_2845_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2845_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"120","question_id":"angle_estimation_2845_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2845_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[322.751,360.3707],[199.289,362.9185]],"scene_type":"single","seed":2845,"vertex":[231.0,261.0]}
+{"angle_degrees":281.691234,"arc_sweep_degrees":281.691234,"canvas_size":[473,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2846","image_path":"images/angle_estimation_2846.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2846_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_2846_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2846_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"102","question_id":"angle_estimation_2846_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2846_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[393.7,222.8275],[238.9008,135.2583]],"scene_type":"single","seed":2846,"vertex":[236.5,252.0]}
+{"angle_degrees":11.088295,"arc_sweep_degrees":11.088295,"canvas_size":[494,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2847","image_path":"images/angle_estimation_2847.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2847_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_2847_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2847_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"169","question_id":"angle_estimation_2847_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2847_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[181.1287,386.1757],[172.712,353.4425]],"scene_type":"single","seed":2847,"vertex":[247.0,261.5]}
+{"angle_degrees":57.959811,"arc_sweep_degrees":57.959811,"canvas_size":[484,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2848","image_path":"images/angle_estimation_2848.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2848_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_2848_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2848_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"122","question_id":"angle_estimation_2848_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2848_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[289.9594,378.0961],[168.2941,357.9384]],"scene_type":"single","seed":2848,"vertex":[242.0,257.5]}
+{"angle_1_degrees":22.777986,"angle_2_degrees":150.176772,"angles":[{"angle_degrees":22.777986,"arc_sweep_degrees":22.777986,"ray_endpoints":[[57.2568,202.2254],[81.3043,158.4352]],"vertex":[129.06,273.03]},{"angle_degrees":150.176772,"arc_sweep_degrees":150.176772,"ray_endpoints":[[314.0427,196.4208],[458.1919,351.4961]],"vertex":[348.94,273.03]}],"canvas_size":[478,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2849","image_path":"images/angle_estimation_2849.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2849_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2849_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_2849_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2849_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2849_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2849}
+{"angle_1_degrees":156.952373,"angle_2_degrees":125.345101,"angles":[{"angle_degrees":156.952373,"arc_sweep_degrees":156.952373,"ray_endpoints":[[127.1158,350.9811],[59.1645,152.908]],"vertex":[121.77,275.31]},{"angle_degrees":125.345101,"arc_sweep_degrees":125.345101,"ray_endpoints":[[400.1955,199.6704],[356.1357,407.7806]],"vertex":[329.23,275.31]}],"canvas_size":[451,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2850","image_path":"images/angle_estimation_2850.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2850_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2850_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2850_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2850_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2850_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2850}
+{"angle_1_degrees":52.51461,"angle_2_degrees":29.413735,"angles":[{"angle_degrees":52.51461,"arc_sweep_degrees":52.51461,"ray_endpoints":[[43.9207,255.4468],[50.7713,144.2192]],"vertex":[126.9,262.2]},{"angle_degrees":29.413735,"arc_sweep_degrees":29.413735,"ray_endpoints":[[358.2111,350.9798],[306.675,363.6294]],"vertex":[343.1,262.2]}],"canvas_size":[470,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2851","image_path":"images/angle_estimation_2851.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2851_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2851_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2851_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2851_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2851_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2851}
+{"angle_1_degrees":14.156102,"angle_2_degrees":168.056373,"angles":[{"angle_degrees":14.156102,"arc_sweep_degrees":14.156102,"ray_endpoints":[[95.9718,212.2035],[111.441,176.7627]],"vertex":[122.31,285.0]},{"angle_degrees":168.056373,"arc_sweep_degrees":168.056373,"ray_endpoints":[[281.2382,344.0021],[398.522,157.5552]],"vertex":[330.69,285.0]}],"canvas_size":[453,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2852","image_path":"images/angle_estimation_2852.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2852_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2852_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"150","question_id":"angle_estimation_2852_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2852_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2852_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2852}
+{"angle_1_degrees":71.15793,"angle_2_degrees":154.199038,"angles":[{"angle_degrees":71.15793,"arc_sweep_degrees":71.15793,"ray_endpoints":[[188.1169,333.6548],[56.7158,369.5134]],"vertex":[124.2,257.64]},{"angle_degrees":154.199038,"arc_sweep_degrees":154.199038,"ray_endpoints":[[357.1025,168.2759],[360.7597,371.2285]],"vertex":[335.8,257.64]}],"canvas_size":[460,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2853","image_path":"images/angle_estimation_2853.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2853_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2853_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"80","question_id":"angle_estimation_2853_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2853_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2853_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2853}
+{"angle_1_degrees":64.97108,"angle_2_degrees":30.917703,"angles":[{"angle_degrees":64.97108,"arc_sweep_degrees":64.97108,"ray_endpoints":[[209.7562,320.6537],[114.6802,410.9691]],"vertex":[122.85,273.6]},{"angle_degrees":30.917703,"arc_sweep_degrees":30.917703,"ray_endpoints":[[271.2972,176.4463],[329.7209,151.9061]],"vertex":[332.15,273.6]}],"canvas_size":[455,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2854","image_path":"images/angle_estimation_2854.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2854_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2854_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2854_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2854_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2854_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2854}
+{"angle_1_degrees":64.324336,"angle_2_degrees":113.862956,"angles":[{"angle_degrees":64.324336,"arc_sweep_degrees":64.324336,"ray_endpoints":[[35.8211,301.5215],[26.3206,166.1772]],"vertex":[130.14,266.76]},{"angle_degrees":113.862956,"arc_sweep_degrees":113.862956,"ray_endpoints":[[414.1546,196.3739],[405.6152,384.0261]],"vertex":[351.86,266.76]}],"canvas_size":[482,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2855","image_path":"images/angle_estimation_2855.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2855_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2855_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2855_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2855_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2855_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2855}
+{"canvas_size":[489,484],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2856","image_path":"images/angle_estimation_2856.png","interior_angles_degrees":[90.209952,26.966344,62.823704],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2856_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2856_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2856_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2856_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2856_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2856,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.7066,353.4149],[434.0,353.4149],[55.0,160.5851]]}
+{"canvas_size":[496,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2857","image_path":"images/angle_estimation_2857.png","interior_angles_degrees":[89.057804,31.005345,59.936851],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2857_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2857_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2857_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2857_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2857_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2857,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,357.8554],[441.0,357.8554],[58.7778,128.1446]]}
+{"canvas_size":[488,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2858","image_path":"images/angle_estimation_2858.png","interior_angles_degrees":[90.319036,26.606289,63.074675],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2858_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2858_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2858_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2858_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2858_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2858,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[56.0543,341.6701],[433.0,341.6701],[55.0,152.3299]]}
+{"canvas_size":[481,495],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2859","image_path":"images/angle_estimation_2859.png","interior_angles_degrees":[90.148484,38.93595,50.915566],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2859_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2859_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2859_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2859_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2859_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2859,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.7768,412.3719],[426.0,412.3719],[55.0,112.6281]]}
+{"canvas_size":[492,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2860","image_path":"images/angle_estimation_2860.png","interior_angles_degrees":[90.656233,53.868519,35.475248],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2860_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2860_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2860_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2860_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2860_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2860,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[120.1279,421.0],[375.9497,421.0],[116.0503,65.0]]}
+{"angle_degrees":54.982646,"arc_sweep_degrees":54.982646,"canvas_size":[470,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2861","image_path":"images/angle_estimation_2861.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2861_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"60","question_id":"angle_estimation_2861_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2861_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"125","question_id":"angle_estimation_2861_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2861_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[197.4628,112.3113],[320.7568,154.354]],"scene_type":"single","seed":2861,"vertex":[235.0,255.5]}
+{"angle_degrees":151.205885,"arc_sweep_degrees":151.205885,"canvas_size":[492,463],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2862","image_path":"images/angle_estimation_2862.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2862_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"150","question_id":"angle_estimation_2862_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2862_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"29","question_id":"angle_estimation_2862_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2862_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[278.8678,90.0151],[279.1239,353.8577]],"scene_type":"single","seed":2862,"vertex":[246.0,243.5]}
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+{"angle_1_degrees":33.433512,"angle_2_degrees":65.03065,"angles":[{"angle_degrees":33.433512,"arc_sweep_degrees":33.433512,"ray_endpoints":[[53.1559,200.9296],[103.6636,139.9446]],"vertex":[128.52,280.44]},{"angle_degrees":65.03065,"arc_sweep_degrees":65.03065,"ray_endpoints":[[422.9744,246.2741],[443.8225,363.2519]],"vertex":[347.48,280.44]}],"canvas_size":[476,492],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2870","image_path":"images/angle_estimation_2870.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2870_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2870_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2870_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2870_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2870_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2870}
+{"angle_1_degrees":151.632999,"angle_2_degrees":26.058461,"angles":[{"angle_degrees":151.632999,"arc_sweep_degrees":151.632999,"ray_endpoints":[[184.742,201.6572],[119.7156,424.0482]],"vertex":[132.84,279.87]},{"angle_degrees":26.058461,"arc_sweep_degrees":26.058461,"ray_endpoints":[[298.0639,227.4163],[303.9007,151.5223]],"vertex":[359.16,279.87]}],"canvas_size":[492,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2871","image_path":"images/angle_estimation_2871.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2871_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2871_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"130","question_id":"angle_estimation_2871_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2871_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2871_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2871}
+{"angle_1_degrees":120.59705,"angle_2_degrees":31.897189,"angles":[{"angle_degrees":120.59705,"arc_sweep_degrees":120.59705,"ray_endpoints":[[204.6623,196.057],[156.398,376.4446]],"vertex":[134.73,256.5]},{"angle_degrees":31.897189,"arc_sweep_degrees":31.897189,"ray_endpoints":[[375.459,150.1912],[442.1073,156.5332]],"vertex":[364.27,256.5]}],"canvas_size":[499,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2872","image_path":"images/angle_estimation_2872.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2872_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2872_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2872_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2872_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2872_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2872}
+{"angle_1_degrees":42.511565,"angle_2_degrees":50.800017,"angles":[{"angle_degrees":42.511565,"arc_sweep_degrees":42.511565,"ray_endpoints":[[129.41,364.6261],[42.9169,358.971]],"vertex":[132.57,267.33]},{"angle_degrees":50.800017,"arc_sweep_degrees":50.800017,"ray_endpoints":[[360.2851,155.3434],[456.4323,190.0686]],"vertex":[358.43,267.33]}],"canvas_size":[491,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2873","image_path":"images/angle_estimation_2873.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2873_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2873_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2873_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2873_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2873_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2873}
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+{"angle_1_degrees":53.477094,"angle_2_degrees":66.841393,"angles":[{"angle_degrees":53.477094,"arc_sweep_degrees":53.477094,"ray_endpoints":[[28.5322,233.2079],[76.9418,135.8721]],"vertex":[124.47,259.92]},{"angle_degrees":66.841393,"arc_sweep_degrees":66.841393,"ray_endpoints":[[384.1826,329.2416],[273.1757,359.9964]],"vertex":[336.53,259.92]}],"canvas_size":[461,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2875","image_path":"images/angle_estimation_2875.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2875_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2875_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2875_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2875_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2875_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2875}
+{"canvas_size":[484,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2876","image_path":"images/angle_estimation_2876.png","interior_angles_degrees":[100.407313,36.1361,43.456588],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2876_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2876_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2876_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2876_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2876_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2876,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[105.1568,388.5433],[429.0,388.5433],[55.0,115.4567]]}
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+{"canvas_size":[459,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2878","image_path":"images/angle_estimation_2878.png","interior_angles_degrees":[108.47708,31.131687,40.391233],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2878_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2878_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2878_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2878_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2878_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2878,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[125.4368,356.3968],[404.0,356.3968],[55.0,145.6032]]}
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+{"angle_degrees":304.988627,"arc_sweep_degrees":304.988627,"canvas_size":[489,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2887","image_path":"images/angle_estimation_2887.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2887_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_2887_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2887_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"125","question_id":"angle_estimation_2887_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2887_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[379.7171,226.714],[302.2288,137.4514]],"scene_type":"single","seed":2887,"vertex":[244.5,240.0]}
+{"angle_degrees":211.091907,"arc_sweep_degrees":211.091907,"canvas_size":[468,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2888","image_path":"images/angle_estimation_2888.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2888_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"210","question_id":"angle_estimation_2888_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2888_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"31","question_id":"angle_estimation_2888_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2888_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[273.2138,381.0513],[268.3174,117.0458]],"scene_type":"single","seed":2888,"vertex":[234.0,245.0]}
+{"angle_1_degrees":52.929249,"angle_2_degrees":31.519951,"angles":[{"angle_degrees":52.929249,"arc_sweep_degrees":52.929249,"ray_endpoints":[[52.2149,233.8837],[116.1641,164.9716]],"vertex":[130.95,278.73]},{"angle_degrees":31.519951,"arc_sweep_degrees":31.519951,"ray_endpoints":[[434.3598,322.9885],[425.2649,403.9839]],"vertex":[354.05,278.73]}],"canvas_size":[485,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2889","image_path":"images/angle_estimation_2889.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2889_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2889_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2889_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2889_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2889_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2889}
+{"angle_1_degrees":32.186422,"angle_2_degrees":152.299037,"angles":[{"angle_degrees":32.186422,"arc_sweep_degrees":32.186422,"ray_endpoints":[[101.9481,334.4465],[39.898,332.869]],"vertex":[125.82,261.63]},{"angle_degrees":152.299037,"arc_sweep_degrees":152.299037,"ray_endpoints":[[325.5504,150.9176],[407.3922,356.809]],"vertex":[340.18,261.63]}],"canvas_size":[466,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2890","image_path":"images/angle_estimation_2890.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2890_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2890_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_2890_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2890_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2890_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2890}
+{"angle_1_degrees":72.570371,"angle_2_degrees":59.706112,"angles":[{"angle_degrees":72.570371,"arc_sweep_degrees":72.570371,"ray_endpoints":[[93.775,342.9869],[22.6766,249.1664]],"vertex":[127.71,256.5]},{"angle_degrees":59.706112,"arc_sweep_degrees":59.706112,"ray_endpoints":[[428.9801,241.5181],[431.7848,357.9757]],"vertex":[345.29,256.5]}],"canvas_size":[473,450],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2891","image_path":"images/angle_estimation_2891.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2891_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2891_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2891_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2891_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2891_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2891}
+{"angle_1_degrees":69.091958,"angle_2_degrees":15.014298,"angles":[{"angle_degrees":69.091958,"arc_sweep_degrees":69.091958,"ray_endpoints":[[38.1577,265.5803],[91.6759,140.2777]],"vertex":[132.84,271.32]},{"angle_degrees":15.014298,"arc_sweep_degrees":15.014298,"ray_endpoints":[[429.8694,336.6666],[422.4408,371.6415]],"vertex":[359.16,271.32]}],"canvas_size":[492,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2892","image_path":"images/angle_estimation_2892.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2892_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2892_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2892_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2892_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2892_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2892}
+{"angle_1_degrees":46.271488,"angle_2_degrees":145.846389,"angles":[{"angle_degrees":46.271488,"arc_sweep_degrees":46.271488,"ray_endpoints":[[62.9735,210.4351],[138.1315,160.6429]],"vertex":[125.28,283.86]},{"angle_degrees":145.846389,"arc_sweep_degrees":145.846389,"ray_endpoints":[[341.2151,385.1471],[259.4335,172.9697]],"vertex":[338.72,283.86]}],"canvas_size":[464,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2893","image_path":"images/angle_estimation_2893.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2893_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2893_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2893_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2893_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2893_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2893}
+{"angle_1_degrees":168.674591,"angle_2_degrees":116.104022,"angles":[{"angle_degrees":168.674591,"arc_sweep_degrees":168.674591,"ray_endpoints":[[142.66,162.7261],[141.428,384.2834]],"vertex":[131.22,262.77]},{"angle_degrees":116.104022,"arc_sweep_degrees":116.104022,"ray_endpoints":[[390.2369,187.4467],[427.8766,354.0479]],"vertex":[354.78,262.77]}],"canvas_size":[486,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2894","image_path":"images/angle_estimation_2894.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2894_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2894_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2894_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2894_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2894_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2894}
+{"angle_1_degrees":26.335922,"angle_2_degrees":60.199995,"angles":[{"angle_degrees":26.335922,"arc_sweep_degrees":26.335922,"ray_endpoints":[[56.5715,223.4606],[77.4128,168.477]],"vertex":[131.22,282.72]},{"angle_degrees":60.199995,"arc_sweep_degrees":60.199995,"ray_endpoints":[[289.4565,206.7976],[402.7839,147.0961]],"vertex":[354.78,282.72]}],"canvas_size":[486,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2895","image_path":"images/angle_estimation_2895.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2895_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2895_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2895_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2895_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2895_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2895}
+{"canvas_size":[476,470],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2896","image_path":"images/angle_estimation_2896.png","interior_angles_degrees":[46.817319,47.081895,86.100786],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2896_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2896_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2896_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2896_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2896_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2896,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,347.9479],[421.0,347.9479],[238.847,152.0521]]}
+{"canvas_size":[464,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2897","image_path":"images/angle_estimation_2897.png","interior_angles_degrees":[72.138387,41.620852,66.24076],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2897_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2897_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2897_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2897_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2897_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2897,"smallest_angle_vertex":"B","triangle_class":"acute","triangle_vertices":[[55.0,370.2584],[409.0,370.2584],[133.7959,125.7416]]}
+{"canvas_size":[460,461],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2898","image_path":"images/angle_estimation_2898.png","interior_angles_degrees":[47.372173,76.181782,56.446045],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2898_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2898_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2898_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2898_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2898_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2898,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,395.5337],[405.0,395.5337],[331.1952,95.4663]]}
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+{"angle_degrees":200.7712,"arc_sweep_degrees":200.7712,"canvas_size":[488,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2902","image_path":"images/angle_estimation_2902.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2902_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"195","question_id":"angle_estimation_2902_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2902_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"21","question_id":"angle_estimation_2902_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2902_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[91.5524,340.4286],[397.2372,232.1144]],"scene_type":"single","seed":2902,"vertex":[244.0,255.0]}
+{"angle_degrees":14.797216,"arc_sweep_degrees":14.797216,"canvas_size":[456,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2903","image_path":"images/angle_estimation_2903.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2903_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_2903_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2903_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"165","question_id":"angle_estimation_2903_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2903_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[195.3398,392.3153],[178.6544,345.8407]],"scene_type":"single","seed":2903,"vertex":[228.0,253.0]}
+{"angle_degrees":135.023421,"arc_sweep_degrees":135.023421,"canvas_size":[494,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2904","image_path":"images/angle_estimation_2904.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2904_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"135","question_id":"angle_estimation_2904_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2904_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"45","question_id":"angle_estimation_2904_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2904_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[131.811,200.9463],[364.3923,222.233]],"scene_type":"single","seed":2904,"vertex":[247.0,260.0]}
+{"angle_degrees":179.999989,"arc_sweep_degrees":179.999989,"canvas_size":[492,460],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2905","image_path":"images/angle_estimation_2905.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2905_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"180","question_id":"angle_estimation_2905_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2905_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"0","question_id":"angle_estimation_2905_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2905_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[313.3784,132.8795],[169.5577,365.7997]],"scene_type":"single","seed":2905,"vertex":[246.0,242.0]}
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+{"angle_degrees":302.709886,"arc_sweep_degrees":302.709886,"canvas_size":[495,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2908","image_path":"images/angle_estimation_2908.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2908_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"300","question_id":"angle_estimation_2908_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2908_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"123","question_id":"angle_estimation_2908_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2908_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[374.48,246.8939],[330.0304,115.6826]],"scene_type":"single","seed":2908,"vertex":[247.5,249.0]}
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+{"angle_1_degrees":158.920112,"angle_2_degrees":125.791971,"angles":[{"angle_degrees":158.920112,"arc_sweep_degrees":158.920112,"ray_endpoints":[[153.9374,198.7627],[112.9112,386.323]],"vertex":[121.77,266.76]},{"angle_degrees":125.791971,"arc_sweep_degrees":125.791971,"ray_endpoints":[[279.9379,329.9776],[296.7369,155.3806]],"vertex":[329.23,266.76]}],"canvas_size":[451,468],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2910","image_path":"images/angle_estimation_2910.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2910_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2910_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2910_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2910_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2910_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2910}
+{"angle_1_degrees":33.620201,"angle_2_degrees":63.454149,"angles":[{"angle_degrees":33.620201,"arc_sweep_degrees":33.620201,"ray_endpoints":[[40.4965,245.6517],[50.0185,166.2317]],"vertex":[129.6,281.01]},{"angle_degrees":63.454149,"arc_sweep_degrees":63.454149,"ray_endpoints":[[273.4518,267.5971],[319.0075,176.0935]],"vertex":[350.4,281.01]}],"canvas_size":[480,493],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2911","image_path":"images/angle_estimation_2911.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2911_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2911_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2911_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2911_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2911_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2911}
+{"angle_1_degrees":153.456397,"angle_2_degrees":36.88341,"angles":[{"angle_degrees":153.456397,"arc_sweep_degrees":153.456397,"ray_endpoints":[[228.457,218.929],[64.8143,338.0267]],"vertex":[134.73,257.64]},{"angle_degrees":36.88341,"arc_sweep_degrees":36.88341,"ray_endpoints":[[264.1915,250.0858],[283.9146,187.294]],"vertex":[364.27,257.64]}],"canvas_size":[499,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2912","image_path":"images/angle_estimation_2912.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2912_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2912_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_2912_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2912_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2912_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2912}
+{"angle_1_degrees":48.052298,"angle_2_degrees":154.722677,"angles":[{"angle_degrees":48.052298,"arc_sweep_degrees":48.052298,"ray_endpoints":[[122.7006,177.3566],[219.6276,168.3125]],"vertex":[126.36,259.92]},{"angle_degrees":154.722677,"arc_sweep_degrees":154.722677,"ray_endpoints":[[335.5179,158.8642],[408.5228,381.8608]],"vertex":[341.64,259.92]}],"canvas_size":[468,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2913","image_path":"images/angle_estimation_2913.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2913_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2913_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"110","question_id":"angle_estimation_2913_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2913_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2913_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2913}
+{"angle_1_degrees":51.132403,"angle_2_degrees":29.953441,"angles":[{"angle_degrees":51.132403,"arc_sweep_degrees":51.132403,"ray_endpoints":[[206.0513,364.7806],[116.6443,388.4195]],"vertex":[134.19,283.86]},{"angle_degrees":29.953441,"arc_sweep_degrees":29.953441,"ray_endpoints":[[434.481,309.7177],[443.4819,379.2954]],"vertex":[362.81,283.86]}],"canvas_size":[497,498],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2914","image_path":"images/angle_estimation_2914.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2914_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2914_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2914_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2914_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2914_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2914}
+{"angle_1_degrees":121.107659,"angle_2_degrees":53.186132,"angles":[{"angle_degrees":121.107659,"arc_sweep_degrees":121.107659,"ray_endpoints":[[192.6065,212.7103],[148.4544,375.2969]],"vertex":[128.25,270.75]},{"angle_degrees":53.186132,"arc_sweep_degrees":53.186132,"ray_endpoints":[[251.5807,266.0893],[276.055,165.9805]],"vertex":[346.75,270.75]}],"canvas_size":[475,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2915","image_path":"images/angle_estimation_2915.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2915_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2915_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"70","question_id":"angle_estimation_2915_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2915_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2915_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2915}
+{"canvas_size":[481,464],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2916","image_path":"images/angle_estimation_2916.png","interior_angles_degrees":[89.337099,45.417734,45.245168],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2916_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2916_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2916_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2916_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2916_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2916,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[59.0289,429.0],[421.9711,429.0],[63.2405,65.0]]}
+{"canvas_size":[455,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2917","image_path":"images/angle_estimation_2917.png","interior_angles_degrees":[90.539288,56.690136,32.770575],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2917_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2917_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2917_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2917_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2917_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2917,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[106.2233,445.0],[352.3535,445.0],[102.6465,65.0]]}
+{"canvas_size":[453,454],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2918","image_path":"images/angle_estimation_2918.png","interior_angles_degrees":[89.257092,30.911885,59.831023],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2918_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2918_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2918_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2918_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2918_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2918,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,343.8978],[398.0,343.8978],[57.6426,140.1022]]}
+{"canvas_size":[457,457],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2919","image_path":"images/angle_estimation_2919.png","interior_angles_degrees":[90.956081,41.688131,47.355789],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2919_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2919_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2919_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2919_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2919_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2919,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[60.1573,398.0184],[402.0,398.0184],[55.0,88.9816]]}
+{"canvas_size":[493,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2920","image_path":"images/angle_estimation_2920.png","interior_angles_degrees":[89.617767,32.849333,57.5329],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2920_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2920_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2920_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2920_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2920_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2920,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,377.1165],[438.0,377.1165],[56.6427,130.8835]]}
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+{"angle_degrees":31.645692,"arc_sweep_degrees":31.645692,"canvas_size":[450,482],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2922","image_path":"images/angle_estimation_2922.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2922_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2922_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2922_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"148","question_id":"angle_estimation_2922_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2922_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[87.9556,334.9738],[88.8888,251.1951]],"scene_type":"single","seed":2922,"vertex":[225.0,253.0]}
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+{"angle_degrees":89.999991,"arc_sweep_degrees":89.999991,"canvas_size":[490,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2925","image_path":"images/angle_estimation_2925.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"right","question_id":"angle_estimation_2925_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"90","question_id":"angle_estimation_2925_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"approximately equal to","question_id":"angle_estimation_2925_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"90","question_id":"angle_estimation_2925_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2925_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[256.5922,83.238],[368.8859,253.8779]],"scene_type":"single","seed":2925,"vertex":[245.0,245.0]}
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+{"angle_1_degrees":145.619956,"angle_2_degrees":163.047043,"angles":[{"angle_degrees":145.619956,"arc_sweep_degrees":145.619956,"ray_endpoints":[[148.6028,368.6926],[44.1894,177.3775]],"vertex":[126.09,257.07]},{"angle_degrees":163.047043,"arc_sweep_degrees":163.047043,"ray_endpoints":[[366.7571,367.7163],[276.0475,145.1832]],"vertex":[340.91,257.07]}],"canvas_size":[467,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2929","image_path":"images/angle_estimation_2929.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2929_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2929_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2929_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2929_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2929_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2929}
+{"angle_1_degrees":66.911724,"angle_2_degrees":28.211182,"angles":[{"angle_degrees":66.911724,"arc_sweep_degrees":66.911724,"ray_endpoints":[[24.7197,276.3519],[85.3778,164.8032]],"vertex":[135.0,273.6]},{"angle_degrees":28.211182,"arc_sweep_degrees":28.211182,"ray_endpoints":[[290.5113,192.7462],[335.281,158.2072]],"vertex":[365.0,273.6]}],"canvas_size":[500,480],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2930","image_path":"images/angle_estimation_2930.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2930_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2930_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2930_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2930_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2930_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2930}
+{"angle_1_degrees":74.999124,"angle_2_degrees":117.644883,"angles":[{"angle_degrees":74.999124,"arc_sweep_degrees":74.999124,"ray_endpoints":[[201.3184,330.2146],[85.2415,381.6541]],"vertex":[127.17,275.31]},{"angle_degrees":117.644883,"arc_sweep_degrees":117.644883,"ray_endpoints":[[313.9969,369.3277],[248.8288,179.4767]],"vertex":[343.83,275.31]}],"canvas_size":[471,483],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2931","image_path":"images/angle_estimation_2931.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2931_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2931_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2931_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2931_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2931_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2931}
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+{"angle_1_degrees":64.088719,"angle_2_degrees":26.819674,"angles":[{"angle_degrees":64.088719,"arc_sweep_degrees":64.088719,"ray_endpoints":[[199.6842,344.0271],[76.6809,376.9172]],"vertex":[126.36,259.92]},{"angle_degrees":26.819674,"arc_sweep_degrees":26.819674,"ray_endpoints":[[303.1417,177.8777],[345.2428,137.1843]],"vertex":[341.64,259.92]}],"canvas_size":[468,456],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2933","image_path":"images/angle_estimation_2933.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2933_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2933_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2933_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2933_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2933_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2933}
+{"angle_1_degrees":21.513542,"angle_2_degrees":168.988428,"angles":[{"angle_degrees":21.513542,"arc_sweep_degrees":21.513542,"ray_endpoints":[[113.8685,174.0143],[159.8655,131.659]],"vertex":[127.98,269.04]},{"angle_degrees":168.988428,"arc_sweep_degrees":168.988428,"ray_endpoints":[[268.1946,343.7866],[424.6026,157.4125]],"vertex":[346.02,269.04]}],"canvas_size":[474,472],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2934","image_path":"images/angle_estimation_2934.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2934_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2934_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"150","question_id":"angle_estimation_2934_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2934_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2934_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2934}
+{"angle_1_degrees":83.255437,"angle_2_degrees":73.342907,"angles":[{"angle_degrees":83.255437,"arc_sweep_degrees":83.255437,"ray_endpoints":[[41.38,334.6906],[49.3416,186.8935]],"vertex":[124.74,285.0]},{"angle_degrees":73.342907,"arc_sweep_degrees":73.342907,"ray_endpoints":[[395.1023,340.2366],[280.4931,396.3015]],"vertex":[337.26,285.0]}],"canvas_size":[462,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2935","image_path":"images/angle_estimation_2935.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2935_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2935_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2935_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2935_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2935_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2935}
+{"canvas_size":[488,463],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2936","image_path":"images/angle_estimation_2936.png","interior_angles_degrees":[125.869861,28.01749,26.112649],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2936_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2936_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2936_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2936_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2936_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2936,"smallest_angle_vertex":"C","triangle_class":"obtuse","triangle_vertices":[[200.4357,347.0671],[433.0,347.0671],[55.0,145.9329]]}
+{"canvas_size":[494,476],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2937","image_path":"images/angle_estimation_2937.png","interior_angles_degrees":[109.053697,25.694824,45.251478],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2937_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2937_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2937_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2937_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2937_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2937,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[118.8131,345.382],[439.0,345.382],[55.0,160.618]]}
+{"canvas_size":[455,466],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2938","image_path":"images/angle_estimation_2938.png","interior_angles_degrees":[98.045688,35.803644,46.150668],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2938_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2938_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2938_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2938_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2938_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2938,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[90.1767,372.4276],[400.0,372.4276],[55.0,123.5724]]}
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+{"canvas_size":[495,474],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2940","image_path":"images/angle_estimation_2940.png","interior_angles_degrees":[126.164026,21.728014,32.107961],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2940_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"obtuse","question_id":"angle_estimation_2940_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2940_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2940_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2940_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2940,"smallest_angle_vertex":"B","triangle_class":"obtuse","triangle_vertices":[[167.1446,328.7141],[440.0,328.7141],[55.0,175.2859]]}
+{"angle_degrees":225.497148,"arc_sweep_degrees":225.497148,"canvas_size":[478,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2941","image_path":"images/angle_estimation_2941.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2941_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"225","question_id":"angle_estimation_2941_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2941_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"45","question_id":"angle_estimation_2941_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2941_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[379.7569,291.573],[186.1669,157.1419]],"scene_type":"single","seed":2941,"vertex":[239.0,252.5]}
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+{"angle_degrees":99.434998,"arc_sweep_degrees":99.434998,"canvas_size":[472,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2946","image_path":"images/angle_estimation_2946.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2946_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"105","question_id":"angle_estimation_2946_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2946_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"81","question_id":"angle_estimation_2946_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2946_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[134.3674,373.0356],[133.6539,132.2596]],"scene_type":"single","seed":2946,"vertex":[236.0,256.0]}
+{"angle_degrees":164.320706,"arc_sweep_degrees":164.320706,"canvas_size":[465,487],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2947","image_path":"images/angle_estimation_2947.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2947_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"165","question_id":"angle_estimation_2947_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2947_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"16","question_id":"angle_estimation_2947_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2947_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[163.3717,124.7887],[333.3591,361.5904]],"scene_type":"single","seed":2947,"vertex":[232.5,255.5]}
+{"angle_degrees":341.691457,"arc_sweep_degrees":341.691457,"canvas_size":[467,467],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2948","image_path":"images/angle_estimation_2948.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2948_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"345","question_id":"angle_estimation_2948_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2948_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"162","question_id":"angle_estimation_2948_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2948_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[192.0221,381.6463],[236.7,379.8113]],"scene_type":"single","seed":2948,"vertex":[233.5,245.5]}
+{"angle_1_degrees":23.710602,"angle_2_degrees":60.759533,"angles":[{"angle_degrees":23.710602,"arc_sweep_degrees":23.710602,"ray_endpoints":[[51.443,282.6561],[14.5898,236.3451]],"vertex":[134.73,272.46]},{"angle_degrees":60.759533,"arc_sweep_degrees":60.759533,"ray_endpoints":[[308.4231,181.5594],[417.3744,177.4178]],"vertex":[364.27,272.46]}],"canvas_size":[499,478],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2949","image_path":"images/angle_estimation_2949.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2949_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2949_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2949_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2949_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2949_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2949}
+{"angle_1_degrees":115.156381,"angle_2_degrees":74.269558,"angles":[{"angle_degrees":115.156381,"arc_sweep_degrees":115.156381,"ray_endpoints":[[201.5482,289.5033],[44.9636,371.0047]],"vertex":[126.9,270.75]},{"angle_degrees":74.269558,"arc_sweep_degrees":74.269558,"ray_endpoints":[[339.5712,176.5495],[450.6513,236.0621]],"vertex":[343.1,270.75]}],"canvas_size":[470,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2950","image_path":"images/angle_estimation_2950.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2950_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2950_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2950_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2950_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2950_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2950}
+{"angle_1_degrees":126.628729,"angle_2_degrees":80.002542,"angles":[{"angle_degrees":126.628729,"arc_sweep_degrees":126.628729,"ray_endpoints":[[207.1064,259.4973],[98.2312,400.0873]],"vertex":[134.19,285.0]},{"angle_degrees":80.002542,"arc_sweep_degrees":80.002542,"ray_endpoints":[[440.9641,235.6506],[453.592,384.8826]],"vertex":[362.81,285.0]}],"canvas_size":[497,500],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2951","image_path":"images/angle_estimation_2951.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2951_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2951_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2951_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2951_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2951_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2951}
+{"angle_1_degrees":47.160528,"angle_2_degrees":34.583222,"angles":[{"angle_degrees":47.160528,"arc_sweep_degrees":47.160528,"ray_endpoints":[[98.5225,331.9661],[20.4061,304.509]],"vertex":[123.39,258.21]},{"angle_degrees":34.583222,"arc_sweep_degrees":34.583222,"ray_endpoints":[[255.5563,215.4566],[268.7257,129.2319]],"vertex":[333.61,258.21]}],"canvas_size":[457,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2952","image_path":"images/angle_estimation_2952.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2952_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2952_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"10","question_id":"angle_estimation_2952_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2952_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2952_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2952}
+{"angle_1_degrees":143.944028,"angle_2_degrees":24.855453,"angles":[{"angle_degrees":143.944028,"arc_sweep_degrees":143.944028,"ray_endpoints":[[162.7819,190.0413],[161.0957,407.4263]],"vertex":[127.98,277.02]},{"angle_degrees":24.855453,"arc_sweep_degrees":24.855453,"ray_endpoints":[[269.8544,242.3451],[264.9532,182.6607]],"vertex":[346.02,277.02]}],"canvas_size":[474,486],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2953","image_path":"images/angle_estimation_2953.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2953_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2953_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"120","question_id":"angle_estimation_2953_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2953_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2953_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2953}
+{"angle_1_degrees":26.61847,"angle_2_degrees":126.2915,"angles":[{"angle_degrees":26.61847,"arc_sweep_degrees":26.61847,"ray_endpoints":[[180.0665,331.8477],[147.9716,390.8971]],"vertex":[132.03,259.35]},{"angle_degrees":126.2915,"arc_sweep_degrees":126.2915,"ray_endpoints":[[310.8101,329.1843],[320.177,159.5867]],"vertex":[356.97,259.35]}],"canvas_size":[489,455],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2954","image_path":"images/angle_estimation_2954.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2954_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2954_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"100","question_id":"angle_estimation_2954_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2954_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2954_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2954}
+{"angle_1_degrees":12.399669,"angle_2_degrees":66.824675,"angles":[{"angle_degrees":12.399669,"arc_sweep_degrees":12.399669,"ray_endpoints":[[72.4121,187.0398],[64.7718,130.3146]],"vertex":[132.57,257.64]},{"angle_degrees":66.824675,"arc_sweep_degrees":66.824675,"ray_endpoints":[[431.7412,315.1161],[329.8234,364.9918]],"vertex":[358.43,257.64]}],"canvas_size":[491,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2955","image_path":"images/angle_estimation_2955.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2955_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2955_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2955_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2955_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2955_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2955}
+{"canvas_size":[487,452],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2956","image_path":"images/angle_estimation_2956.png","interior_angles_degrees":[49.12662,55.564333,75.309047],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2956_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2956_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2956_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2956_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2956_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2956,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,362.5311],[432.0,362.5311],[265.3495,119.4689]]}
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+{"canvas_size":[473,496],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2958","image_path":"images/angle_estimation_2958.png","interior_angles_degrees":[49.882286,66.182552,63.935161],"largest_angle_vertex":"B","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2958_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2958_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"B","question_id":"angle_estimation_2958_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2958_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2958_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2958,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,404.3526],[418.0,404.3526],[293.2093,121.6474]]}
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+{"canvas_size":[454,481],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2960","image_path":"images/angle_estimation_2960.png","interior_angles_degrees":[56.012466,56.439172,67.548362],"largest_angle_vertex":"C","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2960_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"acute","question_id":"angle_estimation_2960_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"C","question_id":"angle_estimation_2960_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2960_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2960_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2960,"smallest_angle_vertex":"A","triangle_class":"acute","triangle_vertices":[[55.0,384.088],[399.0,384.088],[228.386,126.912]]}
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+{"angle_degrees":68.614458,"arc_sweep_degrees":68.614458,"canvas_size":[459,488],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2962","image_path":"images/angle_estimation_2962.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2962_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"75","question_id":"angle_estimation_2962_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2962_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"111","question_id":"angle_estimation_2962_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2962_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[154.4904,406.2031],[96.1163,243.9751]],"scene_type":"single","seed":2962,"vertex":[229.5,256.0]}
+{"angle_degrees":286.292857,"arc_sweep_degrees":286.292857,"canvas_size":[497,451],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.56,"id":"angle_estimation_2963","image_path":"images/angle_estimation_2963.png","marked_sweep":"reflex","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"obtuse","question_id":"angle_estimation_2963_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"285","question_id":"angle_estimation_2963_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"greater than","question_id":"angle_estimation_2963_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"106","question_id":"angle_estimation_2963_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"exceeds 180","question_id":"angle_estimation_2963_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[267.3962,367.6636],[375.8374,255.4704]],"scene_type":"single","seed":2963,"vertex":[248.5,237.5]}
+{"angle_degrees":25.658949,"arc_sweep_degrees":25.658949,"canvas_size":[492,491],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2964","image_path":"images/angle_estimation_2964.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2964_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"30","question_id":"angle_estimation_2964_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2964_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"154","question_id":"angle_estimation_2964_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2964_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[301.952,416.309],[233.9026,367.9528]],"scene_type":"single","seed":2964,"vertex":[246.0,257.5]}
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+{"angle_degrees":10.162424,"arc_sweep_degrees":10.162424,"canvas_size":[453,479],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.44,"id":"angle_estimation_2968","image_path":"images/angle_estimation_2968.png","marked_sweep":"minor","questions":[{"answer_format":"one_word","difficulty_level":1,"ground_truth":"acute","question_id":"angle_estimation_2968_q1","question_text":"Is the marked angle acute (less than 90°), right (exactly 90°), or obtuse (greater than 90°)? Answer with one word.","question_type":"single_angle_class"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":2,"ground_truth":"15","question_id":"angle_estimation_2968_q2","question_text":"Estimate the measure of the marked angle, rounded to the nearest 15 degrees. Answer with a number in curly brackets, e.g. {45}.","question_type":"single_angle_nearest_15"},{"answer_format":"choice","difficulty_level":3,"ground_truth":"less than","question_id":"angle_estimation_2968_q3","question_text":"Is the marked angle greater than, less than, or approximately equal to a right angle (90 degrees)?","question_type":"single_vs_right"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"170","question_id":"angle_estimation_2968_q4","question_text":"How many degrees is the shown angle away from a straight angle, rounded to the nearest degree?","question_type":"distance_from_straight_angle"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"less than 180","question_id":"angle_estimation_2968_q5","question_text":"If this angle were doubled, would the result still be less than a straight angle (180 degrees), or would it exceed a straight angle?","question_type":"single_doubled"}],"ray_endpoints":[[149.236,365.6384],[135.1707,345.2267]],"scene_type":"single","seed":2968,"vertex":[226.5,251.5]}
+{"angle_1_degrees":49.035583,"angle_2_degrees":138.151168,"angles":[{"angle_degrees":49.035583,"arc_sweep_degrees":49.035583,"ray_endpoints":[[178.616,348.4846],[102.7453,414.2313]],"vertex":[130.14,284.43]},{"angle_degrees":138.151168,"arc_sweep_degrees":138.151168,"ray_endpoints":[[256.298,288.489],[432.8598,205.438]],"vertex":[351.86,284.43]}],"canvas_size":[482,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2969","image_path":"images/angle_estimation_2969.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2969_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2969_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"90","question_id":"angle_estimation_2969_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2969_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2969_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2969}
+{"angle_1_degrees":159.842474,"angle_2_degrees":129.085328,"angles":[{"angle_degrees":159.842474,"arc_sweep_degrees":159.842474,"ray_endpoints":[[210.3339,253.6992],[37.8782,353.4462]],"vertex":[133.11,278.73]},{"angle_degrees":129.085328,"arc_sweep_degrees":129.085328,"ray_endpoints":[[360.2273,371.6267],[274.0046,209.4854]],"vertex":[359.89,278.73]}],"canvas_size":[493,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2970","image_path":"images/angle_estimation_2970.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2970_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2970_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2970_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2970_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2970_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2970}
+{"angle_1_degrees":71.405503,"angle_2_degrees":27.778692,"angles":[{"angle_degrees":71.405503,"arc_sweep_degrees":71.405503,"ray_endpoints":[[193.3124,346.775],[47.6195,371.6012]],"vertex":[131.49,258.21]},{"angle_degrees":27.778692,"arc_sweep_degrees":27.778692,"ray_endpoints":[[270.6123,200.7266],[289.6214,134.914]],"vertex":[355.51,258.21]}],"canvas_size":[487,453],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2971","image_path":"images/angle_estimation_2971.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2971_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2971_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"40","question_id":"angle_estimation_2971_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2971_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2971_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2971}
+{"angle_1_degrees":76.013546,"angle_2_degrees":104.642812,"angles":[{"angle_degrees":76.013546,"arc_sweep_degrees":76.013546,"ray_endpoints":[[104.6982,368.5028],[13.8401,287.0228]],"vertex":[122.85,283.29]},{"angle_degrees":104.642812,"arc_sweep_degrees":104.642812,"ray_endpoints":[[337.5942,185.5682],[438.7194,317.5704]],"vertex":[332.15,283.29]}],"canvas_size":[455,497],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2972","image_path":"images/angle_estimation_2972.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2972_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2972_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2972_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2972_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2972_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2972}
+{"angle_1_degrees":117.263972,"angle_2_degrees":144.707546,"angles":[{"angle_degrees":117.263972,"arc_sweep_degrees":117.263972,"ray_endpoints":[[231.8692,281.8042],[58.5797,388.7422]],"vertex":[134.73,271.89]},{"angle_degrees":144.707546,"arc_sweep_degrees":144.707546,"ray_endpoints":[[310.8008,332.5563],[375.9831,162.2768]],"vertex":[364.27,271.89]}],"canvas_size":[499,477],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2973","image_path":"images/angle_estimation_2973.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2973_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2973_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"30","question_id":"angle_estimation_2973_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"neither","question_id":"angle_estimation_2973_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2973_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2973}
+{"angle_1_degrees":41.303336,"angle_2_degrees":59.68517,"angles":[{"angle_degrees":41.303336,"arc_sweep_degrees":41.303336,"ray_endpoints":[[209.5751,308.4853],[172.3781,391.6906]],"vertex":[122.04,263.34]},{"angle_degrees":59.68517,"arc_sweep_degrees":59.68517,"ray_endpoints":[[250.1688,245.2581],[297.9399,162.0712]],"vertex":[329.96,263.34]}],"canvas_size":[452,462],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2974","image_path":"images/angle_estimation_2974.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2974_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2974_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"20","question_id":"angle_estimation_2974_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2974_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"larger","question_id":"angle_estimation_2974_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2974}
+{"angle_1_degrees":162.606819,"angle_2_degrees":20.416159,"angles":[{"angle_degrees":162.606819,"arc_sweep_degrees":162.606819,"ray_endpoints":[[55.4204,316.3558],[221.5573,172.584]],"vertex":[132.84,270.75]},{"angle_degrees":20.416159,"arc_sweep_degrees":20.416159,"ray_endpoints":[[434.7956,341.4544],[420.781,394.2681]],"vertex":[359.16,270.75]}],"canvas_size":[492,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2975","image_path":"images/angle_estimation_2975.png","larger_angle":"Angle 1","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2975_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 1","question_id":"angle_estimation_2975_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"140","question_id":"angle_estimation_2975_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"straight","question_id":"angle_estimation_2975_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2975_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2975}
+{"canvas_size":[469,469],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2976","image_path":"images/angle_estimation_2976.png","interior_angles_degrees":[89.619016,40.571077,49.809907],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2976_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2976_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2976_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2976_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2976_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2976,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,402.3229],[414.0,402.3229],[57.0324,96.6771]]}
+{"canvas_size":[478,489],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2977","image_path":"images/angle_estimation_2977.png","interior_angles_degrees":[89.539614,44.083479,46.376907],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2977_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2977_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2977_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2977_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2977_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2977,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[55.0,436.3294],[423.0,436.3294],[57.8418,82.6706]]}
+{"canvas_size":[486,459],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2978","image_path":"images/angle_estimation_2978.png","interior_angles_degrees":[89.026704,47.266975,43.706322],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2978_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2978_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2978_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2978_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2978_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2978,"smallest_angle_vertex":"C","triangle_class":"right","triangle_vertices":[[74.121,424.0],[411.879,424.0],[80.22,65.0]]}
+{"canvas_size":[459,499],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.62,"id":"angle_estimation_2979","image_path":"images/angle_estimation_2979.png","interior_angles_degrees":[90.953764,36.302902,52.743334],"largest_angle_vertex":"A","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"3","question_id":"angle_estimation_2979_q1","question_text":"How many vertices does the triangle have?","question_type":"triangle_vertex_count"},{"answer_format":"one_word","difficulty_level":2,"ground_truth":"right","question_id":"angle_estimation_2979_q2","question_text":"Is this triangle acute, right, or obtuse? Answer with one word.","question_type":"triangle_class"},{"answer_format":"label","difficulty_level":3,"ground_truth":"A","question_id":"angle_estimation_2979_q3","question_text":"Which vertex of the triangle has the largest interior angle? Answer with the vertex label.","question_type":"largest_triangle_angle"},{"answer_format":"numeric","difficulty_level":4,"ground_truth":"180","question_id":"angle_estimation_2979_q4","question_text":"The three interior angles of any triangle have what fixed total? Answer with a number in curly brackets.","question_type":"triangle_angle_sum"},{"answer_format":"numeric","difficulty_level":5,"ground_truth":"190,no","question_id":"angle_estimation_2979_q5","question_text":"If the smallest interior angle increased by 10 degrees while the other two stayed fixed, what would the new angle sum be, and would it still form a Euclidean triangle? Answer as sum,yes/no.","question_type":"increase_triangle_angle_validity"}],"scene_type":"triangle","seed":2979,"smallest_angle_vertex":"B","triangle_class":"right","triangle_vertices":[[59.2684,392.6966],[404.0,392.6966],[55.0,136.3034]]}
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+{"angle_1_degrees":13.70961,"angle_2_degrees":66.544244,"angles":[{"angle_degrees":13.70961,"arc_sweep_degrees":13.70961,"ray_endpoints":[[77.1034,180.8512],[88.454,132.7158]],"vertex":[129.87,270.75]},{"angle_degrees":66.544244,"arc_sweep_degrees":66.544244,"ray_endpoints":[[430.9355,239.7774],[437.8158,358.4492]],"vertex":[351.13,270.75]}],"canvas_size":[481,475],"dataset_version":"angle-estimation-6.0.0","difficulty_score":0.55,"id":"angle_estimation_2993","image_path":"images/angle_estimation_2993.png","larger_angle":"Angle 2","questions":[{"answer_format":"numeric","difficulty_level":1,"ground_truth":"2","question_id":"angle_estimation_2993_q1","question_text":"How many separate angles are shown in this image?","question_type":"shown_angle_count"},{"answer_format":"label","difficulty_level":2,"ground_truth":"Angle 2","question_id":"angle_estimation_2993_q2","question_text":"Which angle is larger, Angle 1 or Angle 2? Answer with the label.","question_type":"larger_angle"},{"answer_format":{"absolute_tolerance":5,"answer_key_side_only":true,"type":"numeric_tolerance"},"difficulty_level":3,"ground_truth":"50","question_id":"angle_estimation_2993_q3","question_text":"Approximately how many degrees larger is the bigger angle compared to the smaller one, rounded to the nearest 10 degrees?","question_type":"angle_difference_nearest_10"},{"answer_format":"choice","difficulty_level":4,"ground_truth":"right","question_id":"angle_estimation_2993_q4","question_text":"If Angle 1 and Angle 2 were added together, answer 'right angle' if the sum is within 15 degrees of 90°, 'straight angle' if it is within 15 degrees of 180°, otherwise answer 'neither'.","question_type":"angle_sum_bucket"},{"answer_format":"choice","difficulty_level":5,"ground_truth":"smaller","question_id":"angle_estimation_2993_q5","question_text":"If the smaller shown angle were doubled, would it be larger than, equal to, or smaller than the other angle?","question_type":"double_smaller_angle_compare"}],"scene_type":"comparison","seed":2993}
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